Q: There are 20 balls in a box: 11 balls are green, 6 are blue and 3 are white. Then 1 green and 1 blue balls are taken from the box and put away. What is the probability that a green ball is selected at random from the box?
Options:
(A) 1/13
(B) 10/18
(C) 3/13
(D) 5/13
(E) 6/13
A: OK... Stream of consciousness: If 1 green and 1 blue ball are taken from the box, then there are 10 green, 5 blue and 3 white balls, a total of 18 balls. If one ball is selected at random, the probability that it is green is given by 10 / 18
The answer is (B).

Q: Find the smallest number which should be multiplied with 13225 to make it a perfect square.
Options:
(A) 25
(B) 5
(C) 1
(D) 23
(E) 6
A: OK... Stream of consciousness: 13225 = 5*5*23*23
Required smallest number = 1
1 is the smallest number which should be multiplied with 13225 to make it a perfect square.
The answer is (C).

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) 2277
(B) 3000
(C) 2682
(D) 7222
(E) 2682
A: OK... Stream of consciousness: 60*5:36*6:75*3
100: 72: 75
100/247 * 7410 = 3000
The answer is (B).

Q: The length of each side of an equilateral triangle having an area of 43 cm2 is?
Options:
(A) 1/8
(B) 1/9
(C) 1/5
(D) 1/23
(E) 1/2
A:
OK... 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).