Rationale: 64^10 = (4^3)^10 = 4^30
The answer: (E)
Question: What is the greatest positive integer x such that 4^x is a factor of 64^10?
Options:
(A) 5
(B) 9
(C) 10
(D) 20
(E) 30
Reasoning: P1 takes 12 hrs
Rate for P2P3 together = 1/25 + 1/30 = 11/150
Therefore they take 150/11
Ratio = 150/11 =
Ans: (D)
Question: Working alone, Printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 25, and 30 hours, respectively. What is the ratio of the time it takes Printer X to do the job, working alone at its rate, to the time it takes Printers Y and Z to do the job, working together at their individual rates?
Options:
(A) 4/11
(B) 1/2
(C) 15/22
(D) 150/11
(E) 11/4
Rationale: Total number of votes polled = (3136 + 7636 + 11628) = 22400
So, Required percentage = 11628/22400 * 100 = 52%
The answer: (C)
Question: 3 candidates in an election and received 3136, 7636 and 11628 votes respectively. What % of the total votes did the winning candidate got in that election?
Options:
(A) 45%
(B) 49%
(C) 52%
(D) 59%
(E) 61%
Reasoning: Any number multiplied by 2 has to be an even number
Ans: (C)
Question: If x and y are unique prime integers, which of the following must be even?
Options:
(A) xy
(B) x2y
(C) 2x2y
(D) 2xy
(E) xy^2
Rationale: Total number of ways = 7!*2!.
The answer: (B)
Question: There are 10person among whom 2are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1person sit between the brothers, is equal to?
Options:
(A) 7!*3!
(B) 7!*2!
(C) 6!*3!
(D) 5!*2!
(E) 8!*3!
Rationale: 560 = 2*2*2*2*7*5
Required smallest number = 7 * 5 = 35
35 is the smallest number which should be multiplied with 560 to make it a perfect squar
The answer: (E)
Question: Find the smallest number which should be multiplied with 560 to make it a perfect square.
Options:
(A) 60
(B) 55
(C) 45
(D) 25
(E) 35