q: Four of the following five parts numbered (a), (b), (c), (d) and (e) in the following equation are exactly equal. Which of the parts is not equal to the other four? The number of that part is the answer.
Options:
(A) xy2 x2y + 2x2y2
(B) xy2(1 2x) + x2y(2y 1)
(C) xy2(1 + x) x2y(1 y)
(D) xy[y(1 + x) x(1 y) ]
(E) xy(y x + 2xy)
a: Stream of consciousness: The other parts are equal to xy2 x2y + 2x2y2. The answer is (B).

question: X can finish a work in 21 days. Y can finish the same work in 15 days. Y worked for 5 days and left the job. how many days does X alone need to finish the remaining work?
Options:
(A) 12
(B) 13
(C) 16
(D) 14
(E) 18
answer: Stream of consciousness: Work done by X in 1 day = 1/21
Work done by Y in 1 day = 1/15
Work done by Y in 5 days = 5/15 = 1/3
Remaining work = 1 1/3 = 2/3
Number of days in which X can finish the remaining work = (2/3) / (1/21) = 14 The answer is (D).

q: What is the sum of all the prime numbers greater than 30 but less than 50?
Options:
(A) 126
(B) 199
(C) 198
(D) 188
(E) 122
a: Stream of consciousness: Required sum = (31 + 37 + 41 + 43 + 47) = 199
Note: 1 is not a prime number The answer is (B).

question: Which is odd one
10, 25, 45, 54, 60, 75, 80
Options:
(A) 10
(B) 45
(C) 54
(D) 60
(E) 75
answer: Stream of consciousness: All numbers except 54 is multiple of 5. The answer is (C).

q: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 30 as remainder. Find the no. is?
Options:
(A) 125786
(B) 158799
(C) 564323
(D) 344567
(E) 220030
a: Stream of consciousness: (555 + 445) * 2 * 110 + 30 = 220000 + 30 = 220030 The answer is (E).

q: A train running at the speed of 60 km/hr crosses a pole in 6 sec. What is the length of the train?
Options:
(A) 356
(B) 278
(C) 127
(D) 100
(E) 150
a:
Stream of consciousness: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 6 = 100 m The answer is (D).