question: In the expression 51840/x^4, for which of the following values of x will the expression NOT be an integer?
Options:
(A) 1/2
(B) 1
(C) 2
(D) 3
(E) 5
answer: Stream of consciousness: We can straightaway eliminate A & B, since the expression will always yields an integer for those values
Out of C, D, and E. Let us consider option E. 51840 has only one trailing zero and tens digit is not 5, so It has just one 5 in it. But for the expression to be an integer numerator should have 5^4. The answer is (E).

q: he population of a city is 130,000. If it increases at the rate of 6% per annum, then what will be its population 2 years hence?
Options:
(A) 146069
(B) 146067
(C) 156068
(D) 146068
(E) 179718
a: Stream of consciousness: Population after n years = P [1 + (R/100)]2
Population after 2 years = 130000 * [1 + 6/100]2 = (130000 x 53/50 x 53/50) = 146068 The answer is (D).

question: Find the odd man out
253, 136, 352, 327, 631, 244
Options:
(A) 327
(B) 136
(C) 352
(D) 631
(E) 531
answer: Stream of consciousness: The sum all three digits comes to 10 except 327 The answer is (A).

q: Find the value of y from (12)^3 x 6^4 432 = y?
Options:
(A) 4567
(B) 3435
(C) 5667
(D) 4567
(E) 5184
a: Stream of consciousness: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62 The answer is (E).

question: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 4 years the amount to be paid is?
Options:
(A) 3377
(B) 2688
(C) 2688
(D) 8774
(E) 1268
answer: Stream of consciousness: A = 7500(26/25)^4 = 8774 The answer is (D).

question: 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)
answer:
Stream of consciousness: The other parts are equal to xy2 x2y + 2x2y2. The answer is (B).