Rationale: 1/20 + 1/40 = 3/40
40/7 = 5 7/9 days
The answer: (A)
Question: Ravi can do a piece of work in 20 days while Prakash can do it in 40 days. In how many days will they finish it together?
Options:
(A) 5 7/9 days
(B) 6 7/9 days
(C) 5 1/9 days
(D) 5 7/2 days
(E) 4 7/9 days

Reasoning: 4/10+9/X = 1/x = 15
1/10+1/15 = 1/6 = 6 days
Ans: (A)
Question: A can do a piece of work in 10 days. He works at it for 4 days and then B finishes it in 9 days. In how many days can A and B together finish the work?
Options:
(A) 6
(B) 8
(C) 12
(D) 15
(E) 20

Rationale: 49920 /12 = 4160
3840 /10 = 416
416 /8 = 52
The answer: (A)
Question: What will come in place of the x in the following Number series? 49920, 4160, 416, x
Options:
(A) 52
(B) 3
(C) 4
(D) 5
(E) 6

Reasoning: 10000(11/10)4 - 10000(6/5)2 = 241
Ans: (A)
Question: How much more would Rs.10000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
Options:
(A) 241
(B) 725
(C) 992
(D) 837
(E) 923

Rationale: Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 9 = 150 meter
The answer: (A)
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train.
Options:
(A) 150
(B) 88
(C) 2767
(D) 288
(E) 712

Rationale: 2 + 3 + 5 + 7 +11 + 13 + 17 + 23 + 29 = 100 ( sum is even)
Least number = 2
The answer: (A)

Question: Q is a set of nine distinct prime numbers. If the sum of the integers in Q is even and the number x is a member of Q, then what is the least value that x can be?
Options:
(A) 2
(B) 3
(C) 4
(D) 5
(E) 7