q: Look at this series: 7, 10, 8, 11, 9, 12, ... What number should come next?
Options:
(A) 10
(B) 12
(C) 7
(D) 8
(E) 9
a: Stream of consciousness: This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in the second, 2 is subtracted. The answer is (A).

question: List K consists of 14 consecutive integers. If -4 is the least integer in list K, what is the range of the positive integers in list K?
Options:
(A) 5
(B) 6
(C) 7
(D) 8
(E) 12
answer: Stream of consciousness: Answer = D = 8
If least = -4, then largest = 9
Range = 9 - 1 = 8 The answer is (D).

q: The edges of cuboid are 4 cm; 5 cm and 6 cm. Find its surface area?
Options:
(A) 228
(B) 148
(C) 992
(D) 772
(E) 222
a: Stream of consciousness: 2(4*5 + 5*6 + 4*6) = 148 The answer is (B).

question: If n is a natural number, then (6n^2 + 6n) is always divisible by
Options:
(A) 6 only
(B) 6 and 12 both
(C) 12 only
(D) 18 only
(E) 12 and 18 both
answer: Stream of consciousness: (6n^2 + 6n) = 6n(n + 1), which is divisible by both 6 and 12, since n(n+1) is always even. The answer is (B).

q: The length W of a rectangle is decreased by 15% and its width is increased by 40%. Does the area of the rectangle decrease or increase and by what percent?
Options:
(A) Decreases by 19%
(B) Decreases by 25%
(C) Increases by 6%
(D) Increases by 19%
(E) Increases by 25%
a: Stream of consciousness: Let the length W of the rectangle be 100x, and width be 100y. Area = 100x * 100y = 10000xy
Now after the change Length = 85x, and width = 140 y. Area = 11900xy
% Change = (11900xy - 10000xy)/(10000xy) = 19 % Increase. Hence The answer is (D).

q: If a and b are unique prime integers, which of the following must be even?
Options:
(A) ab
(B) a2b
(C) 2a2b
(D) 2ab
(E) ab^2
a:
Stream of consciousness: Let's assume that a is an even prime integer and b is an odd prime integer, their subtraction results in an odd integer and an odd integer multiplied by an even integer yields an even integer. The answer is (C).