q: The measure of the side of a square is tripled. If x represents the perimeter of the original square, what is the value of the new perimeter?
Options:
(A) 3x
(B) 4x
(C) 9x
(D) 12x
(E) 27x
a: OK... Original perimeter = x
Hence original side = x/4
New side = 3x/4
New perimeter = 4*3x/4 = 3x
The answer is (A).

q: The average of 13 numbers is 60. Average of the first 7 of them is 55 and that of the last 7 is 61. Find the 8th number?
Options:
(A) 32
(B) 83
(C) 45
(D) 53
(E) 64
a: OK... Sum of all the 13 numbers = 13 * 60 = 780
Sum of the first 7 of them = 7 * 55 = 385
Sum of the last 7 of them = 7 * 61 = 427
So, the 8th number = 427 + 385 - 780 = 32.
The answer is (A).

q: Which of the following numbers is divisible by 4?
Options:
(A) 27767
(B) 10224
(C) 26778
(D) 26679
(E) 26711
a:
OK... 10224. This is the only option with last two digits divisible by 4
The answer is (B).