Reasoning: The differences between two successive terms from the beginning are 7, 5, 7, 5, 7, 5. So, 40 is wrong.
Ans: (C)
Question: Find the invalid no.from the following series 13, 18, 25, 30, 37, 40
Options:
(A) 23
(B) 26
(C) 40
(D) 42
(E) 49
Rationale: (1056 / 26) gives remainder 16
10 + 16 = 26, So we need to add 10
The answer: (A)
Question: What is the least number should be added to 1056, so the sum of the number is completely divisible by 26?
Options:
(A) 10
(B) 20
(C) 30
(D) 40
(E) 50
Reasoning: The other parts are equal to xy2 x2y + 2x2y2.
Ans: (B)
Question: Four of the following five parts numbered (a), (b), (c), (d) and (e) in the following equation are exactly equal. Which of the parts is not equal to the other four? The number of that part is the answer.
Options:
(A) xy2 x2y + 2x2y2
(B) xy2(1 2x) + x2y(2y 1)
(C) xy2(1 + x) x2y(1 y)
(D) xy[y(1 + x) x(1 y) ]
(E) xy(y x + 2xy)
Rationale: Rate of flow of water in second hour = 36 gallons per hour
Rate of flow of water in first hour = 36/(3/2) = 24 gallons per hour
Rate of flow of water in third hour = (125/100)* 36 = (5/4) * 36 = 45 gallons per hour
Number of gallons of water that flowed through the pipe during the entire 3 hours = 24+36+45 = 105 gallons
The answer: (E)
Question: The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 36 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the second, how many gallons of water flowed through the pipe during the entire three hours?
Options:
(A) 106.25
(B) 105.5
(C) 105.75
(D) 106
(E) 105.0
Reasoning: 1/11 + 1/22 = 3/22
22/3 = 7 1/3 days
Ans: (B)
Question: Ravi can do a piece of work in 11 days while Prakash can do it in 22 days. In how many days will they finish it together?
Options:
(A) 5 7/3 days
(B) 7 1/3days
(C) 5 1/9 days
(D) 5 7/3 days
(E) 4 7/9 days
Reasoning: Total number of outcomes possible when a die is rolled, n(S) = 6 ( 1 or 2 or 3 or 4 or 5 or 6)
E = Event that the number shown in the dice is divisible by 3 = {3, 6}
The probability = 2/6 = 1/3.
Ans: (D)
Question: A dice is thrown. What is the probability that the number shown in the dice is divisible by 3?
Options:
(A) 5/5
(B) 5/9
(C) 5/1
(D) 1/3
(E) 5/2