Rationale: Option 'A'
The total number of arrangements is
7P7 = 7! = 5040
The answer: (A)
Question: In how many different ways can the letters of the word "BICYCLE" be rearrangement?
Options:
(A) 5040
(B) 5045
(C) 5140
(D) 5010
(E) 5020
Reasoning: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 490 * 2/35 = 28 sec
Ans: (E)
Question: A train 490 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 18 sec
(B) 16 sec
(C) 76 sec
(D) 15 sec
(E) 28 sec
Rationale: Total number of votes polled = (5136 + 7636 + 11628) = 24400
So, Required percentage = 11628/24400 * 100 = 48%
The answer: (B)
Question: 3 candidates in an election and received 5136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
Options:
(A) 45%
(B) 48%
(C) 57%
(D) 59%
(E) 61%
Reasoning: A's one day's work = 1/30
B's one day's work = 1/45
(A + B)'s one day's work = 1/30 + 1/45 = 1/18
The part of the work completed in 3 days = 3 (1/18) = 1/6.
Ans: (C)
Question: Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 3 days?
Options:
(A) 1/8
(B) 1/3
(C) 1/6
(D) 1/2
(E) 5/3
Rationale: D = 72 * 5/18 = 15 = 300 â€“ 250 = 50m
The answer: (A)
Question: A train 250 m long running at 72 kmph crosses a platform in 15 sec. What is the length of the platform?
Options:
(A) 50m
(B) 200m
(C) 250m
(D) 270m
(E) 300 m
Rationale: Fix the third coin as H. The remaining 11 coins have 2^11 outcomes.
The answer: (B)

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
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Question: Twelve coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?
Options:
(A) 2^9
(B) 2^11
(C) 3 * 2^8
(D) 3 * 2^9
(E) 3 * 2^10