Question: Joey is planning to throw a small party and for that he needs to do the following tasks:
I. Decide guest list
II. Send invites
III. Arrange catering
IV. Decide the venue
V. Rent a music system
The tasks can be done in any order as long as the invites are sent after the guest list is decided. In how many ways can Joey do the five tasks listed above?
Options:
(A) 24
(B) 48
(C) 60
(D) 120
(E) 240
Ans: (C)
CoT: These 5 tasks can be arranged in 5! = 120 ways. In half of them invites are sentafterthe guest list is decided and in half of them before. So, there are total of 120/2 = 60 ways to arrange the task so that the invites are sent after the guest list is decided.
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Question: A wheel rotates 20 times every minute and moves 35 cm during each rotation. How many metres does the wheel move in one hour?
Options:
(A) 6 metre
(B) 120 metre
(C) 220 metre
(D) 1200 metre
(E) 420 metre
Ans: (E)
CoT: Number of times wheel moves in 1 hour = 20 * 60 = 1200
:. Distance moves = (1200*35) cms = 42000 cms
In metres = 420 metr
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Question: Which of the following is not divisible by 3?
Options:
(A) 10,395
(B) 41,714
(C) 15,354
(D) 30,708
(E) 29,313
Ans: (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.
user
CoT: Divisibility rule of 3: The sum of the digits of the number should be divisible by 3
Option A: 10395, Sum = 18. Divisible by 3
Option B: 41714, Sum = 17, Not divisible by 3. Hence the number 41714 is also not divisible by 3
Option C: 15354, Sum = 18, Divisible by 3
Option D: 30708, Sum = 18, Divisible by 3
Option E: 29313, Sum = 18, Divisible by 3
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