Rationale: Suppose N invested Rs. x. Then, 40000/x = 4/5 or y = [40000 x 5/ 4] = 50000.
The answer: (C)
Question: M and N invested in a shop. The profits were divided in the ratio of 4 : 5 respectively. If M invested Rs. 40,000, the amount invested by N is:
Options:
(A) 35000
(B) 40000
(C) 50000
(D) 60000
(E) None
Reasoning: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 12 = 250 m
Ans: (C)
Question: A train running at the speed of 60 km/hr crosses a pole in 15 sec. What is the length of the train?
Options:
(A) 287
(B) 699
(C) 250
(D) 168
(E) 150
Rationale: The total of five numbers = 5x9 = 45
The total of first 2 and last 2 numbers is = 2 X 7+2 X 12 = 38
So, the middle number is (45 - 38 ) = 7
The answer: (A)
Question: The average of five numbers is 9. The average of first two numbers is 7 and the average of last two numbers is 12. What is the middle number?
Options:
(A) 7
(B) 8
(C) 5
(D) 10
(E) 6
Reasoning: Use fibonnacci series, with starting two terms as 1, 2. So next terms are 3, 5, 8, 13, 21, 34, 55, 89
Ans: (B)
Question: In a staircase, there ar 10 steps. A child is attempting to climb the staircase. Each time she can either make 1 step or 2 steps. In how many different ways can she climb the staricase?
Options:
(A) 23
(B) 277
(C) 18
(D) 178
(E) 181
Rationale: 1 to 11 = 11 * 53 = 583
1 to 6 = 6 * 49 = 294
6 to 11 = 6 * 52 = 312
6th = 294 + 312 – 583 = 23
The answer: (B)
Question: The average of 11 results is 53, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
Options:
(A) A) 46
(B) B) 23
(C) C) 66
(D) D) 76
(E) E) 74
Rationale: Clearly, 97 is a prime number
The answer: (C)

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: Which of the following is a prime number ?
Options:
(A) 33
(B) 81
(C) 97
(D) 93
(E) none