question: If six persons sit in a row, then the probability that three particular persons are always together is?
Options:
(A) 1/5
(B) 1/4
(C) 1/9
(D) 1/6
(E) 1/1
answer: Stream of consciousness: Six persons can be arranged in a row in 6! ways. Treat the three persons to sit together as one unit then there four persons and they can be arranged in 4! ways. Again three persons can be arranged among them selves in 3! ways. Favourable outcomes = 3!4! Required probability = 3!4!/6! = 1/5 The answer is (C).

q: What amount does Kiran get if he invests Rs. 16000 at 15% p.a. simple interest for four years?
Options:
(A) Rs. 25800
(B) Rs. 15600
(C) Rs. 21600
(D) Rs. 24800
(E) Rs. 25600
a: Stream of consciousness: Simple interest = (16000 * 4 * 15)/100 = Rs. 9600
Amount = P + I = 16000 + 9600 = Rs. 25600 The answer is (E).

question: Which of the following is equal to the average (arithmetic mean) of (x+5)^2 and (x-5)^2?
Options:
(A) x^2
(B) x^2+2
(C) x^2 +30
(D) x^2+20
(E) x^2+25
answer: Stream of consciousness: Avg = [(x+5)^2 + (x-5)^2] / 2
Expanding and simplifying, (x^2 + 10x + 25 + x^2 - 10x + 25) / 2 = x^2 + 25 The answer is (E).

q: If a company allocates 10 percent of its budget to advertising, 10 percent to capital improvements, and 55 percent to salaries, what fraction of its budget remains for other allocations?
Options:
(A) 4/5
(B) 1/4
(C) 3/10
(D) 1/5
(E) 1/10
a: Stream of consciousness: 10 + 10 + 55 = 75% 100 - 75 = 25% to all others The answer is (B).

question: Solve:-
333 x 333 x 333 + 555 x 555 x 555 = ?(333 x 333 - 333 x 555 + 555 x 555)
Options:
(A) 888
(B) 333
(C) 555
(D) 988
(E) 889
answer: Stream of consciousness: Given Exp. = (a3 + b3) = (a + b) = (333 + 555) = 888(a2 - ab + b2) The answer is (A).

question: The average of first 12 even numbers is?
Options:
(A) 19
(B) 18
(C) 16
(D) 13
(E) 17
answer:
Stream of consciousness: Sum of 12 even numbers = 12 * 13 = 156
Average = 156/12 = 13 The answer is (D).