q: Find the value of y from (12)^3 x 6^4 432 = y?
Options:
(A) 2134
(B) 2245
(C) 3450
(D) 4500
(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: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Options:
(A) 40 sec
(B) 22 sec
(C) 27 sec
(D) 17 sec
(E) 37 sec
answer: Stream of consciousness: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 500 * 2/25 = 40 sec The answer is (A).

q: A shopkeeper sells his goods at cost price but uses a weight of 800 gm instead of kilogram weight. What is his profit percentage?
Options:
(A) 25%
(B) 18%
(C) 20%
(D) 40%
(E) 45%
a: Stream of consciousness: 100(1000-800)/800 = 25%
Profit percentage = 25% The answer is (A).

question: M and N invested in a shop. The profits were divided in the ratio of 4 : 5 respectively. If M invested Rs. 40,000, the amount invested by N is:
Options:
(A) 35000
(B) 40000
(C) 50000
(D) 60000
(E) None
answer: Stream of consciousness: Suppose N invested Rs. x. Then, 40000/x = 4/5 or y = [40000 x 5/ 4] = 50000. The answer is (C).

q: Which of the following is equal to the average (arithmetic mean) of (x+3)^2 and (x-3)^2?
Options:
(A) x^2
(B) x^2+2
(C) x^2 +4
(D) x^2+9
(E) x^2+4x
a: Stream of consciousness: Avg = [(x+3)^2 + (x-3)^2] / 2
Expanding and simplifying, (x^2 + 6x + 9 + x^2 - 6x + 9 ) / 2 = x^2 + 9 The answer is (D).

q: There are 100 employees in a room. 99% are President. How many managers must leave the room to bring down the percentage of President to 98%?
Options:
(A) 1
(B) 2
(C) 46
(D) 50
(E) 97
a:
Stream of consciousness: We have 99 Presidents and 1 director. That 1 director to compose 2% of the total number of people, there must be 50 people in the room, hence 50 Presidents must leave. The answer is (B).