question: Six students are equally divided into 3 groups, then, the three groups were assigned to three different topics. How many different arrangements are possible?
Options:
(A) 30
(B) 60
(C) 90
(D) 180
(E) 540
answer: Stream of consciousness: Ways of selecting group = 6C2 * 4C2 * 2C2 / 3! = 15
Three groups can select three subjects in 6 ways
Therefore total combinations = 15*6 = 90 The answer is (C).

q: The average of 11 results is 44, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
Options:
(A) 122
(B) 156
(C) 118
(D) 125
(E) 123
a: Stream of consciousness: 1 to 11 = 11 * 44 = 484
1 to 6 = 6 * 49 = 294
6 to 11 = 6 * 52 = 312
6th = 294 + 312 484 = 122 The answer is (A).

question: Find the value of y from (12)^3 x 6^4 432 = y?
Options:
(A) 1234
(B) 2343
(C) 4546
(D) 3435
(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: If a company allocates 15 percent of its budget to advertising, 10 percent to capital improvements, and 60 percent to salaries, what fraction of its budget remains for other allocations?
Options:
(A) 4/5
(B) 3/5
(C) 3/20
(D) 1/5
(E) 1/10
a: Stream of consciousness: 15 + 10 + 60 = 85% 100 - 85 = 15% to all others The answer is (C).

question: The simple interest on a sum of money is 4/9 of the principal and the number of years is equal to the rate percent. Find the rate and the time?
Options:
(A) 6 2/3%
(B) 6 2/8%
(C) 6 9/3%
(D) 6 2/3%
(E) 6 2/1%
answer: Stream of consciousness: 4/9 P = (P*R*R)/100
R = 20/3 = 6 2/3% The answer is (A).

question: A train running at the speed of 60 km/hr crosses a pole in 6 seconds. Find the length of the train.
Options:
(A) 110 meter
(B) 120 meter
(C) 100 meter
(D) 90 meter
(E) 105 meter
answer:
Stream of consciousness: Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 6 = 100 meter The answer is (C).