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To find the rate of interest, we can use the formula: Simple Interest = Principal x Rate x Time C.I. = Principal x Rate x Time Given: Principal = Rs.5000 Time = 2 years Rate = ? We are asked to find the rate of interest, so we need to choose the correct answer from the options given. Using the formula above, we can calculate the simple

5178879118737451214

To solve this problem, we can use the information given in the question to set up a proportion. Let's assume that the total number of files on Sam's hard drive is 250. We know that 25% of the files are infected by a virus (250 / 2 = 125), and 25% of the files are infected by a worm (250 / 2 = 125

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To find Mohan's share, we need to calculate the amount that will be available to him at the end of 3 years, taking into account the compound interest. So, we can use the formula: Amount = Principal x (1 + Interest Rate)^Number of Years In this case, the principal amount is Rs. 5100, and the interest rate is 4% per annum. The number of years is 3 years

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Sure! To find 60% of 30% of 1400 grams, we can follow the multiplication order of operations. 60% of 30% = 0.6 x 0.3 = 180 grams So, 60% of 1400 grams is 180 grams. Therefore, the answer is (C) 252 grams.

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To solve this problem, we need to use the formula: Time = Rate x Duration We are given that the liquid passes through the drain at a rate of w/25 gallons every x seconds. To find the time it takes for y gallons to pass through the drain, we need to divide the number of gallons by the rate at which the liquid passes through the drain: Time = y/w/25 Now,

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To solve this problem, we need to use the information given in the question to find the weight of the coin made of pure aluminum. The coin made of alloy of aluminum and silver has a weight of 30 grams and a diameter of 15 mm. Since the volume of aluminum in the alloy equals that of silver, we can assume that the volume of the coin made of pure aluminum will also be 15 mm in

-6333105490654718610

Sure! Let's solve the problem. If 10 is subtracted from 2/3 of a number, we can start by simplifying the fraction: 2/3 = 6/9 So, 10 - 6/9 = 4/9 Now, we are asked to find the number. To do this, we need to add 4/9 to 40: 4/9 + 40 = 4

8983739382267112094

Sure! To find the largest value of 'k' for which the quadratic equation x2 - 5x + k = 0 has two real and distinct roots, we need to set the discriminant of the equation equal to 0 and solve for k. The discriminant of a quadratic equation of the form ax2 + bx + c = 0 is given by the formula: b2 - 4ac For the equation x2 - 5x

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Sure! To complete the task, we need to perform the calculation as instructed. 900 + 5 × 12 = 900 + 60 = 960. Therefore, the answer is (E) 960.

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To determine how many hours Shweta will take to cover 100 km, we need to consider the distance she covers per hour and the time she spends resting. Shweta rides at a rate of 10 km per hour, so she covers 100 km in 10 hours. However, she stops for 10 minutes to take rest at the end of every 15 km, which means she spends 10

2407552637777849450

Sure! Here's my response: The correct answer is (B) 18 hours. If Mr. Sam takes 17 hours to go by train to the certain city and return by car, and he loses 4 hours if he goes both ways by train, that means he would have taken 17 + 4 = 21 hours to travel by car in both directions. Therefore, the answer is (B) 18 hours.

870295660941241337

To determine the percentage of the original food that was left in the dog's bowl right before the dog began to eat at noon, we need to analyze the information given in the question. According to the question, Jim's dog ate exactly once an hour, consuming exactly 1/3 of the dog food remaining in the bowl at each feeding session. This means that the dog ate 1/3 of the original food in the bowl

6080141915818813756

Sure! Based on the information provided in the question, we can calculate the number of people who took the survey as follows: Let's first calculate the number of women who took the survey: 60% of the people who took the survey were women, so the number of women who took the survey is 60% of the total number of people who took the survey. We know that 75% of the men who were surveyed preferred red cars over green

-583902781109345391

Sure! Here's my response: The answer is (C) 90. To reach the top of the stairs with 10 steps, a boy can take either one or two steps every time. If he takes one step every time, he will need to make 10 trips, which is 90 steps in total. Therefore, the answer is 90.

8255658837831415549

Sure! Here's my response: The correct answer is (B) 1. If one gallon of soft drink is made of 40% orange juice and 60% water, then the orange juice content is 0.4 gallons (40% of 1 gallon). To make the orange juice 60% of the soft drink, we need to add 0.6 gallons (60% of

-6978724309107335256

Sure! To find the units digit of 9^3 - 7, we need to evaluate the expression. 9^3 = 729 729 - 7 = 722 So, the units digit of 9^3 - 7 is 2. Therefore, the answer is (D) 2.

3443204111473681975

Sure! Here's my response: The probability that Mr. Jain selected the winning horse is (B) 2/5. Explanation: Since there are 5 horses in the race, the probability of any one horse winning is 1/5. Since Mr. Jain selected two horses at random, the probability of him selecting the winning horse is 2/5, or 40%.

-2465875295222296467

Sure! Based on the information provided in the question, the sum of the digits of the 3-digit number N is: N = 875 = 5 + 5 + 7 = 17 Therefore, the answer is (B) 11.

6598924153982071598

To find the percentage of students who passed the test, we need to find the difference between the average of the passing students and the overall class average, and then divide it by the overall class average. Using the information given in the question: Passing students' average = 83 Failing students' average = 55 Overall class average = 76 We can calculate the difference between the passing and overall class averages: 83 -

2386967961482170612

To find the wage of the worker on the 8th day, we need to find the average wage for the entire fortnight. The average wage for the entire fortnight is: $90/15 = 6 ($ per day) So, the wage of the worker on the 8th day is: $6 \times 8 = 48 $ Therefore, the answer is (C)$90.

7517334039040202126

Sure! Based on the information provided, the smaller number is: (C) 35 Explanation: The ratio of the two original numbers is 3:5, which means that the smaller number is 3/5 of the larger number. When 9 is subtracted from each number, the new numbers are in a ratio of 12:23. Since the smaller number is 3/5 of the larger number, the smaller number after

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Sure, I can help you with that! Based on the information provided in the question, we can start by subtracting 6 years from Ajay's present age: Ajay's present age = 6 years younger than Rahul's present age Rahul's present age = 2 years younger than Denis's present age Denis's present age = 5 years Now, let's divide the remainder obtained by div

-4147729035974668396

To determine how long it would take Anna to arrange the 4 books in every possible combination and move one book every minute, we need to calculate the number of combinations and the time it takes to move one book. There are 4! = 24 possible combinations of arranging the 4 books. So, the time it would take Anna to arrange the books in every possible combination is: 24 minutes Therefore, the answer is (B)

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Sure! Here's my response: The total discount available at the retailer is (C) 28%. Explanation: If the manufacturer is offering a 20% discount on the price of its tubeless tyres, and the retailer is offering an additional 20% discount, then the total discount available at that retailer is 20% + 20% = 40%.

7957492998760103319

To find the area of the parking space, we need to use the formula for the area of a rectangle, which is: Area = Length x Width. Since three sides of the parking space are painted, we know that the length of the unpainted side is 9 feet. The sum of the lengths of the painted sides is 37 feet, so the width of the parking space is also 37 feet. Therefore, the area of

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Sure! Based on the information provided in the question, the answer is (B) 1. Peter has 10 friends who would like to participate in the scavenger hunt, so he has 10 choices for forming his team.

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To solve this problem, we need to use the information given in the question. The average weight of 10 oarsmen in a boat is increased by 1.8 kg when one of the crew is replaced by a new man. Let's assume the weight of the original 10 oarsmen is x kg. After replacing one of the crew, the weight of the new man is added to the average weight of the remaining 9 oarsmen, which

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Sure! To solve this problem, we can use the information given in the question: There are 45 different ways that two balls can be selected from the box such that the ball with number 3 marked on it is not selected. Let's assume that the number of balls in the box is n. Since there are 45 ways to select two balls without selecting the ball with number 3, the number of ways to select one ball from the box is:

-8039079046007647799

Sure! Let's analyze the question: If Q is a positive integer with 5 factors, we can write it as: Q = a × b × c × d × e where a, b, c, d, and e are integers. Now, let's consider each of the options: I. Q is the square of a prime number: If Q is the square of a prime number, then it can be written as Q = p^

8961537842374957324

Sure! Let's solve the equation: If 6x - y = 24 and y = 3x, 6x - y = 6x y = 3x Now, we can substitute y = 3x into the first equation: 6x - 3x = 24 3x = 24 x = 8 So, the value of x is 8. Therefore, the answer is

781933437704443186

To determine the minimum number of DVDs you would need to rent to make it worth it to purchase the membership, we need to compare the cost of renting DVDs without a membership to the cost of renting them with a membership. Without a membership, renting a DVD costs $4.00 per movie. To determine the minimum number of DVDs you would need to rent to make it worth it to purchase the membership, we can divide the cost of the membership by

-37007311938818237

Sure! Here's the answer to the question: The bag of cat food weighs 7 pounds and 4 ounces, which is equal to 7 x 16 = 112 ounces. Therefore, the answer is (B) 112 ounces.

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Sure! Here's my response: The answer is (B) 8 hours. Explanation: Jack can clean the yacht in 12 hours by himself, so the remaining work that needs to be done is 2/3 of the total work. Jill's rate of cleaning is 5% of what Jack can do, which means she can clean 5/100th of the total work. So, the time it

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To find the rate of interest per annum, we need to use the formula: Interest = Principal x Rate x Time In this case, the principal is Rs. 5000, the time is 3 years, and the interest received is Rs. 300. So, the rate of interest per annum can be calculated as follows: Rate = Interest / Principal x Time = 300 / 5

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To find the actual selling price of the article, we need to calculate 20% of the original price and subtract it from the original price. Original price of the article = Rs.4578 Discount = 20% of Rs.4578 = Rs.915.6 (approximately) Actual selling price of the article = Original price - Discount = Rs.4578

7927963056937097750

Sure! I'm happy to help. The answer to the question is: (B) 27/AB Explanation: If 27 bottles of soda cost A cents, then the cost of B bottles of soda can be found by dividing the cost of 27 bottles by B. So, B bottles will cost 27/B cents.

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To determine the number of ways to select 3 candy bars from the given bag such that the total cost is more than $4, we need to calculate the total cost of each possible combination. The cost of each candy bar is given as follows: * 3 bars that cost 50 cents each = 3 x 50 cents = $1.50 * 4 bars that cost $1 each = 4 x $1 = $

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Sure! Here's my response: The answer is (C) 180. Explanation: If a team cannot

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Sure! I'm happy to help. Based on the information provided, the number of girls in the class is 2/5 of 100, which is equal to 40 girls. Therefore, the answer is (C) 150.

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To determine the probability that a number chosen from Set S is relatively prime to 1,000, we need to count the number of numbers in Set S that are relatively prime to 1,000. There are 1000 numbers in Set S, ranging from 1 to 1,000, inclusive. To check if a number is relatively prime to 1,000, we need to find the greatest common divis

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To find the amount of money that Charles originally invested, we need to use the formula for compound interest: A = P x (1 + r)^n where: A = amount of money at the end of the investment period (in this case, $54,080) P = principal amount (the amount of money originally invested) r = annual interest rate (8% compounded semi-annually) n = number of

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Sure, I can help you with that! Based on the information provided in the question, we can set up the following equation: Joe's age + Joe's sister's age + Joe's father's age = 100 We know that Joe's age is x, so we can substitute that into the equation: x + x + x = 100 Simplifying the equation, we get: 3x =

-5540904250310648398

Sure! Let's solve the problem. If one third of 3/4 of a number is 21, we can start by simplifying the fraction. 3/4 = 0.75 So, one third of 0.75 is 0.25. Now, we can multiply 0.25 by the original number to find the answer: 21 × 0.25 = 5.25

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Sure! Let's solve this problem. If m > 0, y > 0, and x is m percent of 4y, then we can set up the equation: x = m% of 4y Now, we can use the percent formula to solve for m: m = (x/4y) x 100 Substituting the given values, we get: m = (x/4y) x

328561904385435116

Sure! I can help you with that. The man can eat breakfast and dinner in the following ways: * Fruit: 6 choices x 2 meals = 12 ways * Vegetable: 8 choices x 2 meals = 16 ways Therefore, the answer is (B) 24.

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Sure! Here's my response: The answer is (C) 43.7%. Explanation: The probability that a randomly chosen registered voter in Burghtown voted in the last election is 90%. To find the probability that exactly four of five randomly chosen registered voters voted in the last election, we can use the multiplication rule of probability. So, the probability of the first voter voting in the last election is 0.9

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To find the length of fencing needed, we need to use the formula: Length of fencing = Area of yard / Side length In this case, the area of the yard is 240 square meters, and one side is 10 meters long, so: Length of fencing = 240 / 10 = 24 meters Therefore, the answer is (A) 58 meters.

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Sure! Based on the instruction given, there are 2,020 different 3-letter codes that can be made using 5 vowels and 20 consonants, satisfying the conditions mentioned. So, the answer is (B) 2,020.

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Sure! Here's the answer to the question: The sum of three consecutive integers whose product can be expressed as 727+728+729 is: (D) 30 Explanation: The product of three consecutive integers can be expressed as: 727 × 728 × 729 = 30 × 30 × 30 = 900 So, the three

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Sure! Based on the dimensions provided, the capacity of the tank can be calculated using the formula: Capacity = Length × Width × Height = 8 m × 6 m × 2.5 m = 1200 cubic meters Therefore, the correct answer is (B) 1200 litres.

4274726283747267152

Sure! To find the number of children in the city, we can use the information given in the question: The population of the city is 5265526. There are 4169516 adults in the city. So, the number of children in the city is: 5265526 - 4169516 = 1095961 Therefore, the answer

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Sure! I can help you with that. Based on the information provided in the question, if it takes a worker 9 minutes to drive from home to work at an average rate of 20 kilometers per hour, then the worker is covering a distance of 20 kilometers in 9 minutes. To find out how long it will take the worker to cycle along the same route at an average rate of 6 kilometers per hour, we can use the formula

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Sure! Here's my response: The answer is (B) 5. Explanation: If P had eaten alone, it would have taken him 10 minutes to finish the entire jar. Similarly, if Q had eaten alone, it would have taken her 5 minutes to finish half the jar. Since they are eating simultaneously, the time it takes them to finish the jar together is the sum of the times it would take them alone.

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Sure! Here's my response: The correct answer is (B) 150. If the grocery sells a bag of ice for $1.25 and makes a 20% profit, that means the cost price of the ice is $1.25 / 0.8 = $1.56. So, the total profit made from selling 500 bags of ice is: 500 x