Rationale: Must be either 5 heads or 5 tails
1/2*1/2*1/2*1/2*1/2 + 1/2*1/2*1/2*1/2*1/2
1/32 + 1/32 = 1/16
The answer: (D)
Question: When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 5 times, what is the probability that it will land on either side all 5 times?
Options:
(A) 1/5
(B) 1/10
(C) 1/12
(D) 1/16
(E) 1/32
Reasoning: In this series, each number is repeated, then 5 is subtracted to arrive at the next number.
Ans: (C)
Question: Look at this series: 53, 53, 48, 48, 43, 43, ... What number should come next?
Options:
(A) A) 12
(B) B) 14
(C) C) 38
(D) D) 53
(E) E) 86
Rationale: (80/100) * 40 (4/5) * 25
32 - 20 = 12
The answer: (D)
Question: How much is 80% of 40 is greater than 4/5 of 25?
Options:
(A) 12
(B) 27
(C) 18
(D) 12
(E) 81
Reasoning: One day work of A and B = 1/12
One day work of B and C = 1/30
One day work of C and A = 1/36
2(A + B + C) = 1/12 + 1/30 + 1/36
2(A + B + C) = 13/90
(A + B + C) = 13/180
Number of days required = 180/13 days.
Ans: (C)
Question: A and B can do a work in 12 days, B and C in 30 days and C and A in 36 days. In how many days will the work be completed, if all three of them work together?
Options:
(A) 180/15
(B) 180/10
(C) 180/13
(D) 180/15
(E) 180/11
Rationale: (90/100) * 40 (4/5) * 25
36 - 20 = 16
The answer: (D)
Question: How much is 90% of 40 is greater than 4/5 of 25?
Options:
(A) 29
(B) 776
(C) 66
(D) 16
(E) 99
Rationale: 25 + 15 + 55 = 95% 100 - 95 = 5% to all others
The answer: (D)
Question: If a company allocates 25 percent of its budget to advertising, 15 percent to capital improvements, and 55 percent to salaries, what fraction of its budget remains for other allocations?
Options:
(A) 4/5
(B) 3/5
(C) 3/10
(D) 1/20
(E) 1/40