question: Find the value of y from (12)^3 x 6^4 432 = y?
Options:
(A) 3452
(B) 2343
(C) 2435
(D) 2578
(E) 5184
answer: 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).

q: A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?
Options:
(A) 2999
(B) 3000
(C) 2777
(D) 2999
(E) 17212
a: Stream of consciousness: 60*5:36*6:75*3
100: 72: 75
100/247 * 7410 = 3000 The answer is (B).

question: The edge of a cube is 4a cm. Find its surface?
Options:
(A) 104a2 cm2
(B) 64a2 cm2
(C) 96a2 cm2
(D) 84a2 cm2
(E) 56a2 cm2
answer: Stream of consciousness: 6a2 = 6 * 4a * 4a = 96a2 The answer is (C).

q: In what time will a cart 50 m long cross, if its speed be 36 km/hr?
Options:
(A) 25
(B) 5
(C) 15
(D) 20
(E) 30
a: Stream of consciousness: Speed = 36 * 5/18 = 10 m/sec
Time taken = 50/10 = 5 sec. The answer is (B).

question: In a photography exhibition, some photographs were taken by Octavia the photographer, and some photographs were framed by Jack the framer. Jack had framed 24 photographs taken by Octavia, and 12 photographs taken by other photographers. If 36 of the photographs in the exhibition were taken by Octavia, how many photographs were either framed by Jack or taken by Octavia?
Options:
(A) 36
(B) 48
(C) 72
(D) 96
(E) 108
answer: Stream of consciousness: The number of photographs either framed by Jack or taken by Octavia = {Jack} + {Octavia} - {overlap} = 36 + 36 - 24 = 48 ({overlap} is green box). The answer is (B).

question: In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much?
Look at this series: 95, 10, 75, 20, 55, ... What number should come next?
Options:
(A) 35
(B) 40
(C) 30
(D) 25
(E) 90
answer:
Stream of consciousness: C
30
This is an alternating addition and subtraction series. In the first pattern, 20 is subtracted from each number to arrive at the next. In the second, 10 is added to each number to arrive at the next. The answer is (C).