question: What is the greatest positive integer x such that 2^x is a factor of 8^10?
Options:
(A) 5
(B) 9
(C) 10
(D) 20
(E) 30
answer: Stream of consciousness: 8^10 = (2^3)^10 = 2^30 The answer is (E).


q: Every Sunday, Giri jogs 3 miles. For the rest of the week, each day he jogs 1 mile more than the previous day. How many miles does giri jog in 2 weeks ?
Options:
(A) 42
(B) 63
(C) 84
(D) 98
(E) 108
a: Stream of consciousness: In one week, Giri jogs 3 + 4 + 5 + 6 + 7 + 8 + 9 = 42 miles
In two weeks, Giri jogs 84 miles. The answer is (C).


question: A train 250 m long running at 72 kmph crosses a platform in 50 sec. What is the length of the platform?
Options:
(A) 150m
(B) 200m
(C) 250m
(D) 750m
(E) 300 m
answer: Stream of consciousness: D = 72 * 5/18 = 50 = 1000 â€“ 250 = 750m The answer is (D).


q: A small company employs 3 men and 5 women. If a team of 3 employees is to be randomly selected to organize the company retreat, what is the probability that the team will have exactly 2 women?
Options:
(A)  1/14
(B)  1/7
(C)  2/7
(D)  5/7
(E)  1/2
a: Stream of consciousness: Total ways to choose 4 employees from 8 employees = 8C3
Two women = 5C2
Two Men = 3C1
P = (5C2 * 3C1)/8C2 = 5/7 hence The answer is (D).


question: Find the simple interest on Rs.500 for 9 months at 6 paisa per month?
Options:
(A) Rs.345
(B) Rs.270
(C) Rs.275
(D) Rs.324
(E) Rs.325
answer: Stream of consciousness: I = (500*9*6)/100 = 270 The answer is (B).


question: What is the least number should be added to 1056, so the sum of the number is completely divisible by 26?
Options:
(A) 10
(B) 20
(C) 30
(D) 40
(E) 50
answer:
Stream of consciousness: (1056 / 26) gives remainder 16
10 + 16 = 26, So we need to add 10 The answer is (A).