q: If 10 % of an electricity bill is deducted, 45 is still to be paid. How much was the bill?
Options:
(A) 50
(B) 60
(C) 55
(D) 70
(E) None of these
a: Stream of consciousness: Let the bill be x. Then
90% of x = 45
x = 45100/90 = 50 The answer is (A).

question: How many factors does 34^2 have?
Options:
(A) 2
(B) 8
(C) 20
(D) 25
(E) 26
answer: Stream of consciousness: 36^2 = 6*6*6*6 = 2^4*3^4
Total factors = (4+1)*(4+1) = 5*4 = 20 The answer is (C).

q: A train 180 m long running at 70 kmph crosses a platform in 20 sec. What is the length of the platform?
Options:
(A) 208
(B) 277
(C) 350
(D) 881
(E) 271
a: Stream of consciousness: D = 70 * 5/18 = 20 = 388 180 = 208 The answer is (A).

question: For integers U and V, when U is divided by V, the remainder is Zero. Which of the following must be true?
Options:
(A) U and V share no common factors other than 1
(B) UV is odd.
(C) At least one of U and V is odd
(D) The sum U + V is odd
(E) U is odd
answer: Stream of consciousness: At least one of U and V is odd The answer is (C).

q: What is the maximum number of pieces of birthday cake of size 10" by 10" that can be cut from a cake 20" by 20"?
Options:
(A) 4
(B) 10
(C) 16
(D) 20
(E) 25
a: Stream of consciousness: The prompt is essentially asking for the maximum number of 10 x 10 squares that can be cut from a larger 20 by 20square. Since each 'row' and each 'column' of the larger square can be sub-divided into 2 'pieces' each, we have (2)(2) = 4 total smaller squares (at maximum). The answer is (A).

q: What is the area of a square with perimeter 2P ?
Options:
(A) 16p^2
(B) 4P
(C) P^2/5
(D) P/16
(E) P^2/4
a:
Stream of consciousness: Each side is p/2
A = (p/2)^2 = (p^2)/4 The answer is (E).