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A: In 8 years, Richard will be twice as old as Scott, who is 8 years old now, meaning he will be 2 * 8 = 16 years old. If David is 6 years older than Scott, then he is 16 - 6 = 12 years old. 5 years ago, David was 12 - 5 = 9 years old. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: The answer is (a). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The answer is (e). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago? Answer Choices: A) 9 B) 10 C) 12 D) 14 E) 16
A: In 8 years, Richard will be twice as old as Scott, who is 8 years old now, meaning he will be 2 * 8 = 16 years old. If David is 6 years older than Scott, then he is 16 - 6 = 12 years old. 5 years ago, David was 12 - 5 = 9 years old. The answer is (A).
Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: If 10 is added to each number, then the mean of the numbers also increases by 10. So the new mean would be 50. The answer is (a). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: If a / b = 3/4, then b = 4a / 3. So 8a + 5(4a / 3) = 22. This simplifies to 8a + 20a / 3 = 22, which means 44a / 3 = 22. So a is equal to 3/2. The answer is (b). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The distance that the person traveled would have been 20 km/hr * 2.5 hrs = 50 km. The answer is (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: There are 9 one-digit numbers from 1 to 9. There are 90 two-digit numbers from 10 to 99. There are 401 three-digit numbers from 100 to 500. 9 + 90(2) + 401(3) = 1392. The answer is (b). Q: A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago? Answer Choices: A) 9 B) 10 C) 12 D) 14 E) 16
A: In 8 years, Richard will be twice as old as Scott, so Scott will be 8 * 2 = 16 years old. David is 6 years older than Scott, so David is 16 - 6 = 12 years old. 5 years ago, David was 12 - 5 = 8 years old. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e) by reasoning step-by-step. Q:A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago? Answer Choices: A) 9 B) 10 C) 12 D) 14 E) 16
A: In 8 years, Richard will be twice as old as Scott, so Scott will be 8 * 2 = 16 years old. David is 6 years older than Scott, so David is 16 - 6 = 12 years old. 5 years ago, David was 12 - 5 = 8 years old. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: The answer is (a). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The answer is (e). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago? Answer Choices: A) 9 B) 10 C) 12 D) 14 E) 16
A: In 8 years, Richard will be twice as old as Scott, so Scott will be 8 * 2 = 16 years old. David is 6 years older than Scott, so David is 16 - 6 = 12 years old. 5 years ago, David was 12 - 5 = 8 years old. The answer is (A).
Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: If 10 is added to each number, then the mean of the numbers also increases by 10. So the new mean would be 50. The answer is (a). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: If a / b = 3/4, then b = 4a / 3. So 8a + 5(4a / 3) = 22. This simplifies to 8a + 20a / 3 = 22, which means 44a / 3 = 22. So a is equal to 3/2. The answer is (b). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The distance that the person traveled would have been 20 km/hr * 2.5 hrs = 50 km. The answer is (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: There are 9 one-digit numbers from 1 to 9. There are 90 two-digit numbers from 10 to 99. There are 401 three-digit numbers from 100 to 500. 9 + 90(2) + 401(3) = 1392. The answer is (b). Q: A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago? Answer Choices: A) 9 B) 10 C) 12 D) 14 E) 16
A: In 8 years, Richard will be twice as old as Scott, who is 8 years old. Richard is 6 years older than David, who is 8 years older than Scott. In 8 years, David will be 6 years older than Scott. If in 8 years, David will be 6 years older than Scott, then in 5 years, David was 5 years ago, David was 6 - 5 = 3 years older than Scott. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e) by reasoning step-by-step. Q:A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago? Answer Choices: A) 9 B) 10 C) 12 D) 14 E) 16
A: In 8 years, Richard will be twice as old as Scott, who is 8 years old. Richard is 6 years older than David, who is 8 years older than Scott. In 8 years, David will be 6 years older than Scott. If in 8 years, David will be 6 years older than Scott, then in 5 years, David was 5 years ago, David was 6 - 5 = 3 years older than Scott. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: The answer is (a). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The answer is (e). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago? Answer Choices: A) 9 B) 10 C) 12 D) 14 E) 16
A: In 8 years, Richard will be twice as old as Scott, who is 8 years old. Richard is 6 years older than David, who is 8 years older than Scott. In 8 years, David will be 6 years older than Scott. If in 8 years, David will be 6 years older than Scott, then in 5 years, David was 5 years ago, David was 6 - 5 = 3 years older than Scott. The answer is (A).
Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: If 10 is added to each number, then the mean of the numbers also increases by 10. So the new mean would be 50. The answer is (a). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: If a / b = 3/4, then b = 4a / 3. So 8a + 5(4a / 3) = 22. This simplifies to 8a + 20a / 3 = 22, which means 44a / 3 = 22. So a is equal to 3/2. The answer is (b). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The distance that the person traveled would have been 20 km/hr * 2.5 hrs = 50 km. The answer is (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: There are 9 one-digit numbers from 1 to 9. There are 90 two-digit numbers from 10 to 99. There are 401 three-digit numbers from 100 to 500. 9 + 90(2) + 401(3) = 1392. The answer is (b). Q: A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago? Answer Choices: A) 9 B) 10 C) 12 D) 14 E) 16
A: In 8 years, Richard will be twice as old as Scott, meaning he will be 8 * 2 = 16 years old. Richard is 6 years older than David, so David is 16 - 6 = 10 years old. 5 years ago, David was 10 - 5 = 5 years old. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e) by reasoning step-by-step. Q:A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago? Answer Choices: A) 9 B) 10 C) 12 D) 14 E) 16
A: In 8 years, Richard will be twice as old as Scott, meaning he will be 8 * 2 = 16 years old. Richard is 6 years older than David, so David is 16 - 6 = 10 years old. 5 years ago, David was 10 - 5 = 5 years old. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: The answer is (a). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The answer is (e). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago? Answer Choices: A) 9 B) 10 C) 12 D) 14 E) 16
A: In 8 years, Richard will be twice as old as Scott, meaning he will be 8 * 2 = 16 years old. Richard is 6 years older than David, so David is 16 - 6 = 10 years old. 5 years ago, David was 10 - 5 = 5 years old. The answer is (A).
Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: If 10 is added to each number, then the mean of the numbers also increases by 10. So the new mean would be 50. The answer is (a). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: If a / b = 3/4, then b = 4a / 3. So 8a + 5(4a / 3) = 22. This simplifies to 8a + 20a / 3 = 22, which means 44a / 3 = 22. So a is equal to 3/2. The answer is (b). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The distance that the person traveled would have been 20 km/hr * 2.5 hrs = 50 km. The answer is (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: There are 9 one-digit numbers from 1 to 9. There are 90 two-digit numbers from 10 to 99. There are 401 three-digit numbers from 100 to 500. 9 + 90(2) + 401(3) = 1392. The answer is (b). Q: A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago? Answer Choices: A) 9 B) 10 C) 12 D) 14 E) 16
A: If in 8 years, Richard will be twice as old as Scott, then Scott is 8 / 2 = 4 years old now. David is 6 - 4 = 2 years older than Scott. So, 5 years ago, David was 2 - 5 = 1 year older than Scott. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e) by reasoning step-by-step. Q:A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago? Answer Choices: A) 9 B) 10 C) 12 D) 14 E) 16
A: If in 8 years, Richard will be twice as old as Scott, then Scott is 8 / 2 = 4 years old now. David is 6 - 4 = 2 years older than Scott. So, 5 years ago, David was 2 - 5 = 1 year older than Scott. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: The answer is (a). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The answer is (e). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago? Answer Choices: A) 9 B) 10 C) 12 D) 14 E) 16
A: If in 8 years, Richard will be twice as old as Scott, then Scott is 8 / 2 = 4 years old now. David is 6 - 4 = 2 years older than Scott. So, 5 years ago, David was 2 - 5 = 1 year older than Scott. The answer is (A).
Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: If 10 is added to each number, then the mean of the numbers also increases by 10. So the new mean would be 50. The answer is (a). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: If a / b = 3/4, then b = 4a / 3. So 8a + 5(4a / 3) = 22. This simplifies to 8a + 20a / 3 = 22, which means 44a / 3 = 22. So a is equal to 3/2. The answer is (b). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The distance that the person traveled would have been 20 km/hr * 2.5 hrs = 50 km. The answer is (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: There are 9 one-digit numbers from 1 to 9. There are 90 two-digit numbers from 10 to 99. There are 401 three-digit numbers from 100 to 500. 9 + 90(2) + 401(3) = 1392. The answer is (b). Q: A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago? Answer Choices: A) 9 B) 10 C) 12 D) 14 E) 16
A: If in 8 years Richard will be twice as old as Scott, then in 8 years, Richard will be 2 * 8 = 16 years old. If David is 6 years older than Scott, then in 8 years, David will be 16 - 6 = 10 years old. Since David is 8 years older than Scott, then Scott is 10 - 8 = 2 years old. 5 years ago, David was 10 - 5 = 5 years old. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e) by reasoning step-by-step. Q:A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago? Answer Choices: A) 9 B) 10 C) 12 D) 14 E) 16
A: If in 8 years Richard will be twice as old as Scott, then in 8 years, Richard will be 2 * 8 = 16 years old. If David is 6 years older than Scott, then in 8 years, David will be 16 - 6 = 10 years old. Since David is 8 years older than Scott, then Scott is 10 - 8 = 2 years old. 5 years ago, David was 10 - 5 = 5 years old. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: The answer is (a). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The answer is (e). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago? Answer Choices: A) 9 B) 10 C) 12 D) 14 E) 16
A: If in 8 years Richard will be twice as old as Scott, then in 8 years, Richard will be 2 * 8 = 16 years old. If David is 6 years older than Scott, then in 8 years, David will be 16 - 6 = 10 years old. Since David is 8 years older than Scott, then Scott is 10 - 8 = 2 years old. 5 years ago, David was 10 - 5 = 5 years old. The answer is (A).
Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: If 10 is added to each number, then the mean of the numbers also increases by 10. So the new mean would be 50. The answer is (a). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: If a / b = 3/4, then b = 4a / 3. So 8a + 5(4a / 3) = 22. This simplifies to 8a + 20a / 3 = 22, which means 44a / 3 = 22. So a is equal to 3/2. The answer is (b). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The distance that the person traveled would have been 20 km/hr * 2.5 hrs = 50 km. The answer is (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: There are 9 one-digit numbers from 1 to 9. There are 90 two-digit numbers from 10 to 99. There are 401 three-digit numbers from 100 to 500. 9 + 90(2) + 401(3) = 1392. The answer is (b). Q: A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago? Answer Choices: A) 9 B) 10 C) 12 D) 14 E) 16
A: In 8 years, Richard will be twice as old as Scott, so in 8 years, Scott will be 8 * 2 = 16 years old. David is 6 years older than Scott, so in 8 years, David will be 16 - 6 = 10 years old. 5 years ago, David was 10 - 5 = 5 years old. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e) by reasoning step-by-step. Q:A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago? Answer Choices: A) 9 B) 10 C) 12 D) 14 E) 16
A: In 8 years, Richard will be twice as old as Scott, so in 8 years, Scott will be 8 * 2 = 16 years old. David is 6 years older than Scott, so in 8 years, David will be 16 - 6 = 10 years old. 5 years ago, David was 10 - 5 = 5 years old. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: The answer is (a). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The answer is (e). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago? Answer Choices: A) 9 B) 10 C) 12 D) 14 E) 16
A: In 8 years, Richard will be twice as old as Scott, so in 8 years, Scott will be 8 * 2 = 16 years old. David is 6 years older than Scott, so in 8 years, David will be 16 - 6 = 10 years old. 5 years ago, David was 10 - 5 = 5 years old. The answer is (A).
Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: If 10 is added to each number, then the mean of the numbers also increases by 10. So the new mean would be 50. The answer is (a). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: If a / b = 3/4, then b = 4a / 3. So 8a + 5(4a / 3) = 22. This simplifies to 8a + 20a / 3 = 22, which means 44a / 3 = 22. So a is equal to 3/2. The answer is (b). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The distance that the person traveled would have been 20 km/hr * 2.5 hrs = 50 km. The answer is (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: There are 9 one-digit numbers from 1 to 9. There are 90 two-digit numbers from 10 to 99. There are 401 three-digit numbers from 100 to 500. 9 + 90(2) + 401(3) = 1392. The answer is (b). Q: A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago? Answer Choices: A) 9 B) 10 C) 12 D) 14 E) 16
A: If Richard will be twice as old as Scott in 8 years, then in 8 years, Scott will be 8 * 2 = 16 years old. If Richard is 6 years older than David, then David is 6 - 8 = 2 years younger than Richard. If in 5 years, David was 2 years younger than Richard, then 5 years ago, David was 2 - 5 = 1 year older than Richard. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e) by reasoning step-by-step. Q:A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago? Answer Choices: A) 9 B) 10 C) 12 D) 14 E) 16
A: If Richard will be twice as old as Scott in 8 years, then in 8 years, Scott will be 8 * 2 = 16 years old. If Richard is 6 years older than David, then David is 6 - 8 = 2 years younger than Richard. If in 5 years, David was 2 years younger than Richard, then 5 years ago, David was 2 - 5 = 1 year older than Richard. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: The answer is (a). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The answer is (e). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago? Answer Choices: A) 9 B) 10 C) 12 D) 14 E) 16
A: If Richard will be twice as old as Scott in 8 years, then in 8 years, Scott will be 8 * 2 = 16 years old. If Richard is 6 years older than David, then David is 6 - 8 = 2 years younger than Richard. If in 5 years, David was 2 years younger than Richard, then 5 years ago, David was 2 - 5 = 1 year older than Richard. The answer is (A).
Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: If 10 is added to each number, then the mean of the numbers also increases by 10. So the new mean would be 50. The answer is (a). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: If a / b = 3/4, then b = 4a / 3. So 8a + 5(4a / 3) = 22. This simplifies to 8a + 20a / 3 = 22, which means 44a / 3 = 22. So a is equal to 3/2. The answer is (b). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The distance that the person traveled would have been 20 km/hr * 2.5 hrs = 50 km. The answer is (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: There are 9 one-digit numbers from 1 to 9. There are 90 two-digit numbers from 10 to 99. There are 401 three-digit numbers from 100 to 500. 9 + 90(2) + 401(3) = 1392. The answer is (b). Q: A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago? Answer Choices: A) 9 B) 10 C) 12 D) 14 E) 16
A: In 8 years, Richard will be twice as old as Scott, so in 8 years, Richard will be 2 * Scott's age, which is 2 * 8 = 16 years old. Richard is 6 years older than David, so in 8 years, Richard will be 16 - 6 = 10 years old. David is 8 years older than Scott, so Scott is 10 - 8 = 2 years old. 5 years ago, David was 10 - 5 = 5 years old. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e) by reasoning step-by-step. Q:A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago? Answer Choices: A) 9 B) 10 C) 12 D) 14 E) 16
A: In 8 years, Richard will be twice as old as Scott, so in 8 years, Richard will be 2 * Scott's age, which is 2 * 8 = 16 years old. Richard is 6 years older than David, so in 8 years, Richard will be 16 - 6 = 10 years old. David is 8 years older than Scott, so Scott is 10 - 8 = 2 years old. 5 years ago, David was 10 - 5 = 5 years old. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: The answer is (a). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The answer is (e). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago? Answer Choices: A) 9 B) 10 C) 12 D) 14 E) 16
A: In 8 years, Richard will be twice as old as Scott, so in 8 years, Richard will be 2 * Scott's age, which is 2 * 8 = 16 years old. Richard is 6 years older than David, so in 8 years, Richard will be 16 - 6 = 10 years old. David is 8 years older than Scott, so Scott is 10 - 8 = 2 years old. 5 years ago, David was 10 - 5 = 5 years old. The answer is (A).
Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: If 10 is added to each number, then the mean of the numbers also increases by 10. So the new mean would be 50. The answer is (a). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: If a / b = 3/4, then b = 4a / 3. So 8a + 5(4a / 3) = 22. This simplifies to 8a + 20a / 3 = 22, which means 44a / 3 = 22. So a is equal to 3/2. The answer is (b). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The distance that the person traveled would have been 20 km/hr * 2.5 hrs = 50 km. The answer is (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: There are 9 one-digit numbers from 1 to 9. There are 90 two-digit numbers from 10 to 99. There are 401 three-digit numbers from 100 to 500. 9 + 90(2) + 401(3) = 1392. The answer is (b). Q: A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago? Answer Choices: A) 9 B) 10 C) 12 D) 14 E) 16
A: In 8 years, Richard will be twice as old as Scott, so he will be 2 * 8 = 16 years old. Richard is 6 years older than David, so David is 16 - 6 = 10 years old now. 5 years ago, David was 10 - 5 = 5 years old. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e) by reasoning step-by-step. Q:A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago? Answer Choices: A) 9 B) 10 C) 12 D) 14 E) 16
A: In 8 years, Richard will be twice as old as Scott, so he will be 2 * 8 = 16 years old. Richard is 6 years older than David, so David is 16 - 6 = 10 years old now. 5 years ago, David was 10 - 5 = 5 years old. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: The answer is (a). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The answer is (e). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago? Answer Choices: A) 9 B) 10 C) 12 D) 14 E) 16
A: In 8 years, Richard will be twice as old as Scott, so he will be 2 * 8 = 16 years old. Richard is 6 years older than David, so David is 16 - 6 = 10 years old now. 5 years ago, David was 10 - 5 = 5 years old. The answer is (A).
Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: If 10 is added to each number, then the mean of the numbers also increases by 10. So the new mean would be 50. The answer is (a). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: If a / b = 3/4, then b = 4a / 3. So 8a + 5(4a / 3) = 22. This simplifies to 8a + 20a / 3 = 22, which means 44a / 3 = 22. So a is equal to 3/2. The answer is (b). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The distance that the person traveled would have been 20 km/hr * 2.5 hrs = 50 km. The answer is (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: There are 9 one-digit numbers from 1 to 9. There are 90 two-digit numbers from 10 to 99. There are 401 three-digit numbers from 100 to 500. 9 + 90(2) + 401(3) = 1392. The answer is (b). Q: A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago? Answer Choices: A) 9 B) 10 C) 12 D) 14 E) 16
A: If Richard is 6 years older than David, and David is 8 years older than Scott, then Richard is 6 + 8 = 14 years old. If in 8 years, Richard will be twice as old as Scott, then Scott will be 8 / 2 = 4 years old. Since David is 8 years older than Scott, and Scott is 4 years old, then 5 years ago, Scott was 4 - 5 = 9 years old. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e) by reasoning step-by-step. Q:A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago? Answer Choices: A) 9 B) 10 C) 12 D) 14 E) 16
A: If Richard is 6 years older than David, and David is 8 years older than Scott, then Richard is 6 + 8 = 14 years old. If in 8 years, Richard will be twice as old as Scott, then Scott will be 8 / 2 = 4 years old. Since David is 8 years older than Scott, and Scott is 4 years old, then 5 years ago, Scott was 4 - 5 = 9 years old. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: The answer is (a). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The answer is (e). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago? Answer Choices: A) 9 B) 10 C) 12 D) 14 E) 16
A: If Richard is 6 years older than David, and David is 8 years older than Scott, then Richard is 6 + 8 = 14 years old. If in 8 years, Richard will be twice as old as Scott, then Scott will be 8 / 2 = 4 years old. Since David is 8 years older than Scott, and Scott is 4 years old, then 5 years ago, Scott was 4 - 5 = 9 years old. The answer is (A).
Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: If 10 is added to each number, then the mean of the numbers also increases by 10. So the new mean would be 50. The answer is (a). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: If a / b = 3/4, then b = 4a / 3. So 8a + 5(4a / 3) = 22. This simplifies to 8a + 20a / 3 = 22, which means 44a / 3 = 22. So a is equal to 3/2. The answer is (b). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The distance that the person traveled would have been 20 km/hr * 2.5 hrs = 50 km. The answer is (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: There are 9 one-digit numbers from 1 to 9. There are 90 two-digit numbers from 10 to 99. There are 401 three-digit numbers from 100 to 500. 9 + 90(2) + 401(3) = 1392. The answer is (b). Q: A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago? Answer Choices: A) 9 B) 10 C) 12 D) 14 E) 16
A: In 8 years, Richard will be twice as old as Scott, who is 8 years old now. So, Scott is 8 / 2 = 4 years old now. If Richard will be twice as old as Scott in 8 years, then David will be 4 * 2 = 8 years old. So, David was 8 - 5 = 4 years old 5 years ago. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e) by reasoning step-by-step. Q:A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago? Answer Choices: A) 9 B) 10 C) 12 D) 14 E) 16
A: In 8 years, Richard will be twice as old as Scott, who is 8 years old now. So, Scott is 8 / 2 = 4 years old now. If Richard will be twice as old as Scott in 8 years, then David will be 4 * 2 = 8 years old. So, David was 8 - 5 = 4 years old 5 years ago. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: The answer is (a). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The answer is (e). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago? Answer Choices: A) 9 B) 10 C) 12 D) 14 E) 16
A: In 8 years, Richard will be twice as old as Scott, who is 8 years old now. So, Scott is 8 / 2 = 4 years old now. If Richard will be twice as old as Scott in 8 years, then David will be 4 * 2 = 8 years old. So, David was 8 - 5 = 4 years old 5 years ago. The answer is (A).
Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: If 10 is added to each number, then the mean of the numbers also increases by 10. So the new mean would be 50. The answer is (a). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: If a / b = 3/4, then b = 4a / 3. So 8a + 5(4a / 3) = 22. This simplifies to 8a + 20a / 3 = 22, which means 44a / 3 = 22. So a is equal to 3/2. The answer is (b). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The distance that the person traveled would have been 20 km/hr * 2.5 hrs = 50 km. The answer is (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: There are 9 one-digit numbers from 1 to 9. There are 90 two-digit numbers from 10 to 99. There are 401 three-digit numbers from 100 to 500. 9 + 90(2) + 401(3) = 1392. The answer is (b). Q: A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago? Answer Choices: A) 9 B) 10 C) 12 D) 14 E) 16
A: The answer is (E).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: A caterer ordered 125 ice-cream bars and 125 sundaes. If the total price was $250.00 and the price of each ice-cream bar was $0.60, what was the price of each sundae? Answer Choices: A)$0.60 B)$0.80 C)$1.00 D)$1.20 E)$1.40
A: The answer is (E).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: The answer is (a). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The answer is (e). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). A caterer ordered 125 ice-cream bars and 125 sundaes. If the total price was $250.00 and the price of each ice-cream bar was $0.60, what was the price of each sundae? Answer Choices: A)$0.60 B)$0.80 C)$1.00 D)$1.20 E)$1.40
A: The answer is (D).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: Resident of town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and std deviation of 4 hrs. The number of hours that pat, a resident of town X, watched television last week was between 1 and 2 standard deviation below the mean. Which of the following could be the number of hours that Pat watched television last week? Answer Choices: A)30 B)20 C)18 D)12 E)6
A: The answer is (D).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: The answer is (a). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The answer is (e). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Resident of town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and std deviation of 4 hrs. The number of hours that pat, a resident of town X, watched television last week was between 1 and 2 standard deviation below the mean. Which of the following could be the number of hours that Pat watched television last week? Answer Choices: A)30 B)20 C)18 D)12 E)6
A: The total number of hours that Pat watched television last week was between 1 and 2 standard deviation below the mean, which is between 21 and 24 hours. The number of hours that Pat watched television last week was between 1 and 2 standard deviation below the mean, which is between 12 and 20 hours. The answer is (D).
Answer the following multiple choice question with options (a), (b), (c), (d), (e) by reasoning step-by-step. Q:Resident of town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and std deviation of 4 hrs. The number of hours that pat, a resident of town X, watched television last week was between 1 and 2 standard deviation below the mean. Which of the following could be the number of hours that Pat watched television last week? Answer Choices: A)30 B)20 C)18 D)12 E)6
A: The total number of hours that Pat watched television last week was between 1 and 2 standard deviation below the mean, which is between 21 and 24 hours. The number of hours that Pat watched television last week was between 1 and 2 standard deviation below the mean, which is between 12 and 20 hours. The answer is (D).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: The answer is (a). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The answer is (e). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Resident of town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and std deviation of 4 hrs. The number of hours that pat, a resident of town X, watched television last week was between 1 and 2 standard deviation below the mean. Which of the following could be the number of hours that Pat watched television last week? Answer Choices: A)30 B)20 C)18 D)12 E)6
A: The total number of hours that Pat watched television last week was between 1 and 2 standard deviation below the mean, which is between 21 and 24 hours. The number of hours that Pat watched television last week was between 1 and 2 standard deviation below the mean, which is between 12 and 20 hours. The answer is (D).
Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: If 10 is added to each number, then the mean of the numbers also increases by 10. So the new mean would be 50. The answer is (a). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: If a / b = 3/4, then b = 4a / 3. So 8a + 5(4a / 3) = 22. This simplifies to 8a + 20a / 3 = 22, which means 44a / 3 = 22. So a is equal to 3/2. The answer is (b). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The distance that the person traveled would have been 20 km/hr * 2.5 hrs = 50 km. The answer is (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: There are 9 one-digit numbers from 1 to 9. There are 90 two-digit numbers from 10 to 99. There are 401 three-digit numbers from 100 to 500. 9 + 90(2) + 401(3) = 1392. The answer is (b). Q: Resident of town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and std deviation of 4 hrs. The number of hours that pat, a resident of town X, watched television last week was between 1 and 2 standard deviation below the mean. Which of the following could be the number of hours that Pat watched television last week? Answer Choices: A)30 B)20 C)18 D)12 E)6
A: The range of hours below the mean is 21 - 4 = 17 hours. The number of hours that Pat watched television last week was between 1 and 2 standard deviation below the mean. The number of hours that Pat watched television last week was between 1 and 2 standard deviation below the mean. The answer is (D).
Answer the following multiple choice question with options (a), (b), (c), (d), (e) by reasoning step-by-step. Q:Resident of town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and std deviation of 4 hrs. The number of hours that pat, a resident of town X, watched television last week was between 1 and 2 standard deviation below the mean. Which of the following could be the number of hours that Pat watched television last week? Answer Choices: A)30 B)20 C)18 D)12 E)6
A: The range of hours below the mean is 21 - 4 = 17 hours. The number of hours that Pat watched television last week was between 1 and 2 standard deviation below the mean. The number of hours that Pat watched television last week was between 1 and 2 standard deviation below the mean. The answer is (D).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: The answer is (a). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The answer is (e). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Resident of town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and std deviation of 4 hrs. The number of hours that pat, a resident of town X, watched television last week was between 1 and 2 standard deviation below the mean. Which of the following could be the number of hours that Pat watched television last week? Answer Choices: A)30 B)20 C)18 D)12 E)6
A: The range of hours below the mean is 21 - 4 = 17 hours. The number of hours that Pat watched television last week was between 1 and 2 standard deviation below the mean. The number of hours that Pat watched television last week was between 1 and 2 standard deviation below the mean. The answer is (D).
Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: If 10 is added to each number, then the mean of the numbers also increases by 10. So the new mean would be 50. The answer is (a). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: If a / b = 3/4, then b = 4a / 3. So 8a + 5(4a / 3) = 22. This simplifies to 8a + 20a / 3 = 22, which means 44a / 3 = 22. So a is equal to 3/2. The answer is (b). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The distance that the person traveled would have been 20 km/hr * 2.5 hrs = 50 km. The answer is (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: There are 9 one-digit numbers from 1 to 9. There are 90 two-digit numbers from 10 to 99. There are 401 three-digit numbers from 100 to 500. 9 + 90(2) + 401(3) = 1392. The answer is (b). Q: Resident of town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and std deviation of 4 hrs. The number of hours that pat, a resident of town X, watched television last week was between 1 and 2 standard deviation below the mean. Which of the following could be the number of hours that Pat watched television last week? Answer Choices: A)30 B)20 C)18 D)12 E)6
A: The answer is (D).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: There are 5 identical pens and 7 identical books. In how many different ways can a person select at least one object from this set? Answer Choices: A)11 B)12 C)39 D)47 E)56
A: The answer is (D).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: The answer is (a). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The answer is (e). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). There are 5 identical pens and 7 identical books. In how many different ways can a person select at least one object from this set? Answer Choices: A)11 B)12 C)39 D)47 E)56
A: The answer is (B).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages. Answer Choices: A)20, 35, 45 B)16, 28, 36 C)8, 20, 28 D)None of these E)30,25,12
A: The answer is (B).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: The answer is (a). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The answer is (e). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages. Answer Choices: A)20, 35, 45 B)16, 28, 36 C)8, 20, 28 D)None of these E)30,25,12
A: The present ages of three persons are in proportions 4:7:9. So, the present ages of three persons are 4 + 7 + 9 = 19 years. Eight years ago, the sum of their ages was 56, so the present ages of three persons are 19 - 8 = 15 years. The answer is (B).
Answer the following multiple choice question with options (a), (b), (c), (d), (e) by reasoning step-by-step. Q:The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages. Answer Choices: A)20, 35, 45 B)16, 28, 36 C)8, 20, 28 D)None of these E)30,25,12
A: The present ages of three persons are in proportions 4:7:9. So, the present ages of three persons are 4 + 7 + 9 = 19 years. Eight years ago, the sum of their ages was 56, so the present ages of three persons are 19 - 8 = 15 years. The answer is (B).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: The answer is (a). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The answer is (e). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages. Answer Choices: A)20, 35, 45 B)16, 28, 36 C)8, 20, 28 D)None of these E)30,25,12
A: The present ages of three persons are in proportions 4:7:9. So, the present ages of three persons are 4 + 7 + 9 = 19 years. Eight years ago, the sum of their ages was 56, so the present ages of three persons are 19 - 8 = 15 years. The answer is (B).
Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: If 10 is added to each number, then the mean of the numbers also increases by 10. So the new mean would be 50. The answer is (a). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: If a / b = 3/4, then b = 4a / 3. So 8a + 5(4a / 3) = 22. This simplifies to 8a + 20a / 3 = 22, which means 44a / 3 = 22. So a is equal to 3/2. The answer is (b). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The distance that the person traveled would have been 20 km/hr * 2.5 hrs = 50 km. The answer is (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: There are 9 one-digit numbers from 1 to 9. There are 90 two-digit numbers from 10 to 99. There are 401 three-digit numbers from 100 to 500. 9 + 90(2) + 401(3) = 1392. The answer is (b). Q: The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages. Answer Choices: A)20, 35, 45 B)16, 28, 36 C)8, 20, 28 D)None of these E)30,25,12
A: The sum of their ages eight years ago was 56. Present ages of three persons in proportions 4:7:9 are 4 + 7 + 9 = 15. The answer is (B).
Answer the following multiple choice question with options (a), (b), (c), (d), (e) by reasoning step-by-step. Q:The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages. Answer Choices: A)20, 35, 45 B)16, 28, 36 C)8, 20, 28 D)None of these E)30,25,12
A: The sum of their ages eight years ago was 56. Present ages of three persons in proportions 4:7:9 are 4 + 7 + 9 = 15. The answer is (B).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: The answer is (a). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The answer is (e). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages. Answer Choices: A)20, 35, 45 B)16, 28, 36 C)8, 20, 28 D)None of these E)30,25,12
A: The sum of their ages eight years ago was 56. Present ages of three persons in proportions 4:7:9 are 4 + 7 + 9 = 15. The answer is (B).
Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: If 10 is added to each number, then the mean of the numbers also increases by 10. So the new mean would be 50. The answer is (a). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: If a / b = 3/4, then b = 4a / 3. So 8a + 5(4a / 3) = 22. This simplifies to 8a + 20a / 3 = 22, which means 44a / 3 = 22. So a is equal to 3/2. The answer is (b). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The distance that the person traveled would have been 20 km/hr * 2.5 hrs = 50 km. The answer is (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: There are 9 one-digit numbers from 1 to 9. There are 90 two-digit numbers from 10 to 99. There are 401 three-digit numbers from 100 to 500. 9 + 90(2) + 401(3) = 1392. The answer is (b). Q: The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages. Answer Choices: A)20, 35, 45 B)16, 28, 36 C)8, 20, 28 D)None of these E)30,25,12
A: Present ages of 3 persons = 4:7:9 = 16:28:36. Eight years ago, sum of their ages was 56, so their present ages are 4 + 7 + 9 = 21 years. The answer is (B).
Answer the following multiple choice question with options (a), (b), (c), (d), (e) by reasoning step-by-step. Q:The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages. Answer Choices: A)20, 35, 45 B)16, 28, 36 C)8, 20, 28 D)None of these E)30,25,12
A: Present ages of 3 persons = 4:7:9 = 16:28:36. Eight years ago, sum of their ages was 56, so their present ages are 4 + 7 + 9 = 21 years. The answer is (B).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: The answer is (a). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The answer is (e). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages. Answer Choices: A)20, 35, 45 B)16, 28, 36 C)8, 20, 28 D)None of these E)30,25,12
A: Present ages of 3 persons = 4:7:9 = 16:28:36. Eight years ago, sum of their ages was 56, so their present ages are 4 + 7 + 9 = 21 years. The answer is (B).
Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: If 10 is added to each number, then the mean of the numbers also increases by 10. So the new mean would be 50. The answer is (a). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: If a / b = 3/4, then b = 4a / 3. So 8a + 5(4a / 3) = 22. This simplifies to 8a + 20a / 3 = 22, which means 44a / 3 = 22. So a is equal to 3/2. The answer is (b). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The distance that the person traveled would have been 20 km/hr * 2.5 hrs = 50 km. The answer is (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: There are 9 one-digit numbers from 1 to 9. There are 90 two-digit numbers from 10 to 99. There are 401 three-digit numbers from 100 to 500. 9 + 90(2) + 401(3) = 1392. The answer is (b). Q: The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages. Answer Choices: A)20, 35, 45 B)16, 28, 36 C)8, 20, 28 D)None of these E)30,25,12
A: Sum of ages of three persons 8 years back was 56. Present ages of three persons are in proportions 4:7:9. So present ages of persons 1 and 2 is 4 + 7 = 11, present ages of persons 3 and 4 is 9 = 28. So present ages of persons 1, 2 and 3 are 11, 28, 28 = 56 - 8 = 36. The answer is (B).
Answer the following multiple choice question with options (a), (b), (c), (d), (e) by reasoning step-by-step. Q:The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages. Answer Choices: A)20, 35, 45 B)16, 28, 36 C)8, 20, 28 D)None of these E)30,25,12
A: Sum of ages of three persons 8 years back was 56. Present ages of three persons are in proportions 4:7:9. So present ages of persons 1 and 2 is 4 + 7 = 11, present ages of persons 3 and 4 is 9 = 28. So present ages of persons 1, 2 and 3 are 11, 28, 28 = 56 - 8 = 36. The answer is (B).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: The answer is (a). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The answer is (e). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages. Answer Choices: A)20, 35, 45 B)16, 28, 36 C)8, 20, 28 D)None of these E)30,25,12
A: Sum of ages of three persons 8 years back was 56. Present ages of three persons are in proportions 4:7:9. So present ages of persons 1 and 2 is 4 + 7 = 11, present ages of persons 3 and 4 is 9 = 28. So present ages of persons 1, 2 and 3 are 11, 28, 28 = 56 - 8 = 36. The answer is (B).
Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: If 10 is added to each number, then the mean of the numbers also increases by 10. So the new mean would be 50. The answer is (a). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: If a / b = 3/4, then b = 4a / 3. So 8a + 5(4a / 3) = 22. This simplifies to 8a + 20a / 3 = 22, which means 44a / 3 = 22. So a is equal to 3/2. The answer is (b). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The distance that the person traveled would have been 20 km/hr * 2.5 hrs = 50 km. The answer is (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: There are 9 one-digit numbers from 1 to 9. There are 90 two-digit numbers from 10 to 99. There are 401 three-digit numbers from 100 to 500. 9 + 90(2) + 401(3) = 1392. The answer is (b). Q: The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages. Answer Choices: A)20, 35, 45 B)16, 28, 36 C)8, 20, 28 D)None of these E)30,25,12
A: If the sum of their ages eight years ago was 56, then their present ages are 4 * 7 * 9 = 21 years. The answer is (B).
Answer the following multiple choice question with options (a), (b), (c), (d), (e) by reasoning step-by-step. Q:The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages. Answer Choices: A)20, 35, 45 B)16, 28, 36 C)8, 20, 28 D)None of these E)30,25,12
A: If the sum of their ages eight years ago was 56, then their present ages are 4 * 7 * 9 = 21 years. The answer is (B).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: The answer is (a). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The answer is (e). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages. Answer Choices: A)20, 35, 45 B)16, 28, 36 C)8, 20, 28 D)None of these E)30,25,12
A: If the sum of their ages eight years ago was 56, then their present ages are 4 * 7 * 9 = 21 years. The answer is (B).
Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: If 10 is added to each number, then the mean of the numbers also increases by 10. So the new mean would be 50. The answer is (a). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: If a / b = 3/4, then b = 4a / 3. So 8a + 5(4a / 3) = 22. This simplifies to 8a + 20a / 3 = 22, which means 44a / 3 = 22. So a is equal to 3/2. The answer is (b). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The distance that the person traveled would have been 20 km/hr * 2.5 hrs = 50 km. The answer is (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: There are 9 one-digit numbers from 1 to 9. There are 90 two-digit numbers from 10 to 99. There are 401 three-digit numbers from 100 to 500. 9 + 90(2) + 401(3) = 1392. The answer is (b). Q: The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages. Answer Choices: A)20, 35, 45 B)16, 28, 36 C)8, 20, 28 D)None of these E)30,25,12
A: 8 years ago, the sum of their ages was 56, so the present ages are 4 + 7 + 9 = 23 years old. The answer is (B).
Answer the following multiple choice question with options (a), (b), (c), (d), (e) by reasoning step-by-step. Q:The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages. Answer Choices: A)20, 35, 45 B)16, 28, 36 C)8, 20, 28 D)None of these E)30,25,12
A: 8 years ago, the sum of their ages was 56, so the present ages are 4 + 7 + 9 = 23 years old. The answer is (B).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: The answer is (a). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The answer is (e). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages. Answer Choices: A)20, 35, 45 B)16, 28, 36 C)8, 20, 28 D)None of these E)30,25,12
A: 8 years ago, the sum of their ages was 56, so the present ages are 4 + 7 + 9 = 23 years old. The answer is (B).
Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: If 10 is added to each number, then the mean of the numbers also increases by 10. So the new mean would be 50. The answer is (a). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: If a / b = 3/4, then b = 4a / 3. So 8a + 5(4a / 3) = 22. This simplifies to 8a + 20a / 3 = 22, which means 44a / 3 = 22. So a is equal to 3/2. The answer is (b). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The distance that the person traveled would have been 20 km/hr * 2.5 hrs = 50 km. The answer is (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: There are 9 one-digit numbers from 1 to 9. There are 90 two-digit numbers from 10 to 99. There are 401 three-digit numbers from 100 to 500. 9 + 90(2) + 401(3) = 1392. The answer is (b). Q: The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages. Answer Choices: A)20, 35, 45 B)16, 28, 36 C)8, 20, 28 D)None of these E)30,25,12
A: A4:7:9 = 4:7:9. 4*8 = 16. The present ages of three persons are in proportions 4:7:9. The answer is (B).
Answer the following multiple choice question with options (a), (b), (c), (d), (e) by reasoning step-by-step. Q:The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages. Answer Choices: A)20, 35, 45 B)16, 28, 36 C)8, 20, 28 D)None of these E)30,25,12
A: A4:7:9 = 4:7:9. 4*8 = 16. The present ages of three persons are in proportions 4:7:9. The answer is (B).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: The answer is (a). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The answer is (e). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages. Answer Choices: A)20, 35, 45 B)16, 28, 36 C)8, 20, 28 D)None of these E)30,25,12
A: A4:7:9 = 4:7:9. 4*8 = 16. The present ages of three persons are in proportions 4:7:9. The answer is (B).
Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: If 10 is added to each number, then the mean of the numbers also increases by 10. So the new mean would be 50. The answer is (a). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: If a / b = 3/4, then b = 4a / 3. So 8a + 5(4a / 3) = 22. This simplifies to 8a + 20a / 3 = 22, which means 44a / 3 = 22. So a is equal to 3/2. The answer is (b). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The distance that the person traveled would have been 20 km/hr * 2.5 hrs = 50 km. The answer is (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: There are 9 one-digit numbers from 1 to 9. There are 90 two-digit numbers from 10 to 99. There are 401 three-digit numbers from 100 to 500. 9 + 90(2) + 401(3) = 1392. The answer is (b). Q: The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages. Answer Choices: A)20, 35, 45 B)16, 28, 36 C)8, 20, 28 D)None of these E)30,25,12
A: Let the age of person A be x. The ages of persons B and C be y. 8 years ago, the sum of their ages was 56. Their ages after 8 years are 4y + 7y + 9y = 64 years. If the present ages of persons A, B and C are in proportions 4:7:9, then their present ages are x + y + z = 64 years. The answer is (B).
Answer the following multiple choice question with options (a), (b), (c), (d), (e) by reasoning step-by-step. Q:The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages. Answer Choices: A)20, 35, 45 B)16, 28, 36 C)8, 20, 28 D)None of these E)30,25,12
A: Let the age of person A be x. The ages of persons B and C be y. 8 years ago, the sum of their ages was 56. Their ages after 8 years are 4y + 7y + 9y = 64 years. If the present ages of persons A, B and C are in proportions 4:7:9, then their present ages are x + y + z = 64 years. The answer is (B).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: The answer is (a). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The answer is (e). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages. Answer Choices: A)20, 35, 45 B)16, 28, 36 C)8, 20, 28 D)None of these E)30,25,12
A: Let the age of person A be x. The ages of persons B and C be y. 8 years ago, the sum of their ages was 56. Their ages after 8 years are 4y + 7y + 9y = 64 years. If the present ages of persons A, B and C are in proportions 4:7:9, then their present ages are x + y + z = 64 years. The answer is (B).
Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: If 10 is added to each number, then the mean of the numbers also increases by 10. So the new mean would be 50. The answer is (a). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: If a / b = 3/4, then b = 4a / 3. So 8a + 5(4a / 3) = 22. This simplifies to 8a + 20a / 3 = 22, which means 44a / 3 = 22. So a is equal to 3/2. The answer is (b). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The distance that the person traveled would have been 20 km/hr * 2.5 hrs = 50 km. The answer is (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: There are 9 one-digit numbers from 1 to 9. There are 90 two-digit numbers from 10 to 99. There are 401 three-digit numbers from 100 to 500. 9 + 90(2) + 401(3) = 1392. The answer is (b). Q: The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages. Answer Choices: A)20, 35, 45 B)16, 28, 36 C)8, 20, 28 D)None of these E)30,25,12
A: 8 years ago, the sum of their ages was 56. 4:7:9 8 years ago = 56, 4:7:9 = 56, 56-8 = 72 Present ages of three persons are in proportions 4:7:9, and they are 48, 32, 48 years old. The answer is (B).
Answer the following multiple choice question with options (a), (b), (c), (d), (e) by reasoning step-by-step. Q:The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages. Answer Choices: A)20, 35, 45 B)16, 28, 36 C)8, 20, 28 D)None of these E)30,25,12
A: 8 years ago, the sum of their ages was 56. 4:7:9 8 years ago = 56, 4:7:9 = 56, 56-8 = 72 Present ages of three persons are in proportions 4:7:9, and they are 48, 32, 48 years old. The answer is (B).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: The answer is (a). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The answer is (e). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages. Answer Choices: A)20, 35, 45 B)16, 28, 36 C)8, 20, 28 D)None of these E)30,25,12
A: 8 years ago, the sum of their ages was 56. 4:7:9 8 years ago = 56, 4:7:9 = 56, 56-8 = 72 Present ages of three persons are in proportions 4:7:9, and they are 48, 32, 48 years old. The answer is (B).
Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: If 10 is added to each number, then the mean of the numbers also increases by 10. So the new mean would be 50. The answer is (a). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: If a / b = 3/4, then b = 4a / 3. So 8a + 5(4a / 3) = 22. This simplifies to 8a + 20a / 3 = 22, which means 44a / 3 = 22. So a is equal to 3/2. The answer is (b). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The distance that the person traveled would have been 20 km/hr * 2.5 hrs = 50 km. The answer is (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: There are 9 one-digit numbers from 1 to 9. There are 90 two-digit numbers from 10 to 99. There are 401 three-digit numbers from 100 to 500. 9 + 90(2) + 401(3) = 1392. The answer is (b). Q: The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages. Answer Choices: A)20, 35, 45 B)16, 28, 36 C)8, 20, 28 D)None of these E)30,25,12
A: The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: The probability that A speaks truth is 1/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact? Answer Choices: A)16/35 B)16/39 C)16/36 D)18/33 E)18/32
A: The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: The answer is (a). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The answer is (e). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). The probability that A speaks truth is 1/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact? Answer Choices: A)16/35 B)16/39 C)16/36 D)18/33 E)18/32
A: A and B speaking the same truth has probability 1 - 1 / 5 and 4 - 1 / 7 = 1 / 4 respectively. The total probability that A and B speak the truth is 1 / 4 * 1 / 5 = 16/35. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e) by reasoning step-by-step. Q:The probability that A speaks truth is 1/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact? Answer Choices: A)16/35 B)16/39 C)16/36 D)18/33 E)18/32
A: A and B speaking the same truth has probability 1 - 1 / 5 and 4 - 1 / 7 = 1 / 4 respectively. The total probability that A and B speak the truth is 1 / 4 * 1 / 5 = 16/35. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: The answer is (a). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The answer is (e). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). The probability that A speaks truth is 1/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact? Answer Choices: A)16/35 B)16/39 C)16/36 D)18/33 E)18/32
A: A and B speaking the same truth has probability 1 - 1 / 5 and 4 - 1 / 7 = 1 / 4 respectively. The total probability that A and B speak the truth is 1 / 4 * 1 / 5 = 16/35. The answer is (A).
Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: If 10 is added to each number, then the mean of the numbers also increases by 10. So the new mean would be 50. The answer is (a). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: If a / b = 3/4, then b = 4a / 3. So 8a + 5(4a / 3) = 22. This simplifies to 8a + 20a / 3 = 22, which means 44a / 3 = 22. So a is equal to 3/2. The answer is (b). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The distance that the person traveled would have been 20 km/hr * 2.5 hrs = 50 km. The answer is (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: There are 9 one-digit numbers from 1 to 9. There are 90 two-digit numbers from 10 to 99. There are 401 three-digit numbers from 100 to 500. 9 + 90(2) + 401(3) = 1392. The answer is (b). Q: The probability that A speaks truth is 1/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact? Answer Choices: A)16/35 B)16/39 C)16/36 D)18/33 E)18/32
A: 1/5 * 4/7 = 16/35. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e) by reasoning step-by-step. Q:The probability that A speaks truth is 1/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact? Answer Choices: A)16/35 B)16/39 C)16/36 D)18/33 E)18/32
A: 1/5 * 4/7 = 16/35. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: The answer is (a). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The answer is (e). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). The probability that A speaks truth is 1/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact? Answer Choices: A)16/35 B)16/39 C)16/36 D)18/33 E)18/32
A: 1/5 * 4/7 = 16/35. The answer is (A).
Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: If 10 is added to each number, then the mean of the numbers also increases by 10. So the new mean would be 50. The answer is (a). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: If a / b = 3/4, then b = 4a / 3. So 8a + 5(4a / 3) = 22. This simplifies to 8a + 20a / 3 = 22, which means 44a / 3 = 22. So a is equal to 3/2. The answer is (b). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The distance that the person traveled would have been 20 km/hr * 2.5 hrs = 50 km. The answer is (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: There are 9 one-digit numbers from 1 to 9. There are 90 two-digit numbers from 10 to 99. There are 401 three-digit numbers from 100 to 500. 9 + 90(2) + 401(3) = 1392. The answer is (b). Q: The probability that A speaks truth is 1/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact? Answer Choices: A)16/35 B)16/39 C)16/36 D)18/33 E)18/32
A: The probability that A speaks truth is 1/5 and that of B speaking truth is 4/7. The probability that they agree in stating the same fact is 1 - 2 * 4 / 7 = 16/35. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e) by reasoning step-by-step. Q:The probability that A speaks truth is 1/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact? Answer Choices: A)16/35 B)16/39 C)16/36 D)18/33 E)18/32
A: The probability that A speaks truth is 1/5 and that of B speaking truth is 4/7. The probability that they agree in stating the same fact is 1 - 2 * 4 / 7 = 16/35. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: The answer is (a). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The answer is (e). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). The probability that A speaks truth is 1/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact? Answer Choices: A)16/35 B)16/39 C)16/36 D)18/33 E)18/32
A: The probability that A speaks truth is 1/5 and that of B speaking truth is 4/7. The probability that they agree in stating the same fact is 1 - 2 * 4 / 7 = 16/35. The answer is (A).
Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: If 10 is added to each number, then the mean of the numbers also increases by 10. So the new mean would be 50. The answer is (a). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: If a / b = 3/4, then b = 4a / 3. So 8a + 5(4a / 3) = 22. This simplifies to 8a + 20a / 3 = 22, which means 44a / 3 = 22. So a is equal to 3/2. The answer is (b). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The distance that the person traveled would have been 20 km/hr * 2.5 hrs = 50 km. The answer is (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: There are 9 one-digit numbers from 1 to 9. There are 90 two-digit numbers from 10 to 99. There are 401 three-digit numbers from 100 to 500. 9 + 90(2) + 401(3) = 1392. The answer is (b). Q: The probability that A speaks truth is 1/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact? Answer Choices: A)16/35 B)16/39 C)16/36 D)18/33 E)18/32
A: A and B have 1/5 and 4/7 probability of speaking truth respectively. The probability of both speaking same truth is 1/5 * 4/7 = 16/35. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e) by reasoning step-by-step. Q:The probability that A speaks truth is 1/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact? Answer Choices: A)16/35 B)16/39 C)16/36 D)18/33 E)18/32
A: A and B have 1/5 and 4/7 probability of speaking truth respectively. The probability of both speaking same truth is 1/5 * 4/7 = 16/35. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: The answer is (a). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The answer is (e). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). The probability that A speaks truth is 1/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact? Answer Choices: A)16/35 B)16/39 C)16/36 D)18/33 E)18/32
A: A and B have 1/5 and 4/7 probability of speaking truth respectively. The probability of both speaking same truth is 1/5 * 4/7 = 16/35. The answer is (A).
Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: If 10 is added to each number, then the mean of the numbers also increases by 10. So the new mean would be 50. The answer is (a). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: If a / b = 3/4, then b = 4a / 3. So 8a + 5(4a / 3) = 22. This simplifies to 8a + 20a / 3 = 22, which means 44a / 3 = 22. So a is equal to 3/2. The answer is (b). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The distance that the person traveled would have been 20 km/hr * 2.5 hrs = 50 km. The answer is (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: There are 9 one-digit numbers from 1 to 9. There are 90 two-digit numbers from 10 to 99. There are 401 three-digit numbers from 100 to 500. 9 + 90(2) + 401(3) = 1392. The answer is (b). Q: The probability that A speaks truth is 1/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact? Answer Choices: A)16/35 B)16/39 C)16/36 D)18/33 E)18/32
A: 1/5 * 4/7 = 16/35. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e) by reasoning step-by-step. Q:The probability that A speaks truth is 1/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact? Answer Choices: A)16/35 B)16/39 C)16/36 D)18/33 E)18/32
A: 1/5 * 4/7 = 16/35. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: The answer is (a). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The answer is (e). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). The probability that A speaks truth is 1/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact? Answer Choices: A)16/35 B)16/39 C)16/36 D)18/33 E)18/32
A: 1/5 * 4/7 = 16/35. The answer is (A).
Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: If 10 is added to each number, then the mean of the numbers also increases by 10. So the new mean would be 50. The answer is (a). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: If a / b = 3/4, then b = 4a / 3. So 8a + 5(4a / 3) = 22. This simplifies to 8a + 20a / 3 = 22, which means 44a / 3 = 22. So a is equal to 3/2. The answer is (b). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The distance that the person traveled would have been 20 km/hr * 2.5 hrs = 50 km. The answer is (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: There are 9 one-digit numbers from 1 to 9. There are 90 two-digit numbers from 10 to 99. There are 401 three-digit numbers from 100 to 500. 9 + 90(2) + 401(3) = 1392. The answer is (b). Q: The probability that A speaks truth is 1/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact? Answer Choices: A)16/35 B)16/39 C)16/36 D)18/33 E)18/32
A: The probability of A and B agreeing is 1 - (1 / 5) * 4 / 7 = 3 / 17. The probability of A and B disagreeing is 1 - (4 / 7) * 1 / 5 = 4 / 17. The probability of A and B disagreeing is 3 / (17 - 4 / 7) = 16 / 35. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e) by reasoning step-by-step. Q:The probability that A speaks truth is 1/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact? Answer Choices: A)16/35 B)16/39 C)16/36 D)18/33 E)18/32
A: The probability of A and B agreeing is 1 - (1 / 5) * 4 / 7 = 3 / 17. The probability of A and B disagreeing is 1 - (4 / 7) * 1 / 5 = 4 / 17. The probability of A and B disagreeing is 3 / (17 - 4 / 7) = 16 / 35. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: The answer is (a). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The answer is (e). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). The probability that A speaks truth is 1/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact? Answer Choices: A)16/35 B)16/39 C)16/36 D)18/33 E)18/32
A: The probability of A and B agreeing is 1 - (1 / 5) * 4 / 7 = 3 / 17. The probability of A and B disagreeing is 1 - (4 / 7) * 1 / 5 = 4 / 17. The probability of A and B disagreeing is 3 / (17 - 4 / 7) = 16 / 35. The answer is (A).
Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: If 10 is added to each number, then the mean of the numbers also increases by 10. So the new mean would be 50. The answer is (a). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: If a / b = 3/4, then b = 4a / 3. So 8a + 5(4a / 3) = 22. This simplifies to 8a + 20a / 3 = 22, which means 44a / 3 = 22. So a is equal to 3/2. The answer is (b). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The distance that the person traveled would have been 20 km/hr * 2.5 hrs = 50 km. The answer is (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: There are 9 one-digit numbers from 1 to 9. There are 90 two-digit numbers from 10 to 99. There are 401 three-digit numbers from 100 to 500. 9 + 90(2) + 401(3) = 1392. The answer is (b). Q: The probability that A speaks truth is 1/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact? Answer Choices: A)16/35 B)16/39 C)16/36 D)18/33 E)18/32
A: The probability that A and B speak the same truth is 1/5 * 4/7 = 16/35. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e) by reasoning step-by-step. Q:The probability that A speaks truth is 1/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact? Answer Choices: A)16/35 B)16/39 C)16/36 D)18/33 E)18/32
A: The probability that A and B speak the same truth is 1/5 * 4/7 = 16/35. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: The answer is (a). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The answer is (e). Answer the following multiple choice question with options (a), (b), (c), (d), (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: The answer is (b). Answer the following multiple choice question with options (a), (b), (c), (d), (e). The probability that A speaks truth is 1/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact? Answer Choices: A)16/35 B)16/39 C)16/36 D)18/33 E)18/32
A: The probability that A and B speak the same truth is 1/5 * 4/7 = 16/35. The answer is (A).
Q: John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 A: If 10 is added to each number, then the mean of the numbers also increases by 10. So the new mean would be 50. The answer is (a). Q: If a / b = 3/4 and 8a + 5b = 22,then find the value of a. Answer Choices: (a) 1/2 (b) 3/2 (c) 5/2 (d) 4/2 (e) 7/2 A: If a / b = 3/4, then b = 4a / 3. So 8a + 5(4a / 3) = 22. This simplifies to 8a + 20a / 3 = 22, which means 44a / 3 = 22. So a is equal to 3/2. The answer is (b). Q: A person is traveling at 20 km/hr and reached his destiny in 2.5 hr then find the distance? Answer Choices: (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The distance that the person traveled would have been 20 km/hr * 2.5 hrs = 50 km. The answer is (e). Q: How many keystrokes are needed to type the numbers from 1 to 500? Answer Choices: (a) 1156 (b) 1392 (c) 1480 (d) 1562 (e) 1788 A: There are 9 one-digit numbers from 1 to 9. There are 90 two-digit numbers from 10 to 99. There are 401 three-digit numbers from 100 to 500. 9 + 90(2) + 401(3) = 1392. The answer is (b). Q: The probability that A speaks truth is 1/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact? Answer Choices: A)16/35 B)16/39 C)16/36 D)18/33 E)18/32
A: 1/5 * 4/7 = 1/18. 1/18 * 1/5 = 16/35. The answer is (A).
Answer the following multiple choice question with options (a), (b), (c), (d), (e) by reasoning step-by-step. Q:The probability that A speaks truth is 1/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact? Answer Choices: A)16/35 B)16/39 C)16/36 D)18/33 E)18/32