q: What number comes next in the following series? 4, 13, 40, 121, 364, x
Options:
(A) 1093
(B) 1100
(C) 1301
(D) 1400
(E) 1713
a: OK... 4
4 3 + 1 = 13
13 3 + 1 = 40
40 3 + 1 = 121
121 3 + 1 = 364
364 3 + 1 = 1093
The answer is (A).

q: Which value of x does statisfy the inequality 2x2 + x 3 < 0?
Options:
(A) -32 < x < 1
(B) -1 < x < 32
(C) x > 1
(D) x < -25
(E) None of these
a: OK... 2x2 + x 3 < 0
(x 1)(2x + 3) < 0 or, -32 < x < 1
The answer is (A).

q: Which of the options is a two-digit number, which has a unit's digit that exceeds its ten's digit by 6 and the product of the given number and the sum of its digits is equal to 136.
Options:
(A) 82
(B) 93
(C) 39
(D) 28
(E) 17
a:
OK... Using the elimination method the option that fits this description is 17
7-1 = 3 (unit's digit that exceeds its ten's digit by 3)
17*8 = 136 (the product of the given number and the sum of its digits is equal to 175)
The answer is (E).