Question: Find the value of y from (12)^3 x 6^4 432 = y?
Options:
(A) 2134
(B) 2245
(C) 3450
(D) 4500
(E) 5184
Answer: 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: The average of seven numbers is 26. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
Options:
(A) 25
(B) 83
(C) 29
(D) 32
(E) 34
Answer: The total of seven numbers = 7X26 = 182
The total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99
So, the middle number is (182 - 99 ) = 83
The answer is (B).

Question: 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
Answer: 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).

Question: Find the average of the series : 312, 162, 132, 147 and 122?
Options:
(A) 170
(B) 175
(C) 180
(D) 185
(E) 195
Answer:
Average = (312 + 162 + 132 + 147+ 122)/5 = 875/5 = 175
The answer is (B).