q: If n is an integer, then the least possible value of |48 - 7n| is?
Options:
(A) 1
(B) 0
(C) 5
(D) 4
(E) 2
a: Stream of consciousness: |48 - 7n| represents the distance between 48 and 7n on the number line. Now, the distance will be minimized when 7n, which is multiple of 7, is closest to 48. Multiple of 7 which is closest to 48 is 49 (for n = 7), so the least distance is 1: |48 - 49| = 1. The answer is (A).

question: Find the average of the first 21 natural numbers?
Options:
(A) 8
(B) 9
(C) 10
(D) 11
(E) 12
answer: Stream of consciousness: Average of the first 'n' natural numbers = (n + 1)/2
We get (21+ 1)/2 = 11 The answer is (D).

q: A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
Options:
(A) 2287
(B) 27
(C) 299
(D) 287
(E) 150
a: Stream of consciousness: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 9 = 150 m The answer is (E).

question: What is the are of an equilateral triangle of side 4 cm?
Options:
(A) 645
(B) 43
(C) 644
(D) 643
(E) 642
answer: Stream of consciousness: Area of an equilateral triangle = 3/4 S2
If S = 4, Area of triangle = 3/4 * 4 * 4 = 43 cm2; The answer is (B).

q: Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?
Options:
(A) 128
(B) 150
(C) 882
(D) 272
(E) 121
a: Stream of consciousness: 1/2 * 20(9 + 6) = 150 cm2 The answer is (B).

q: How much is 80% of 40 is greater than 4/5 of 20?
Options:
(A) 12
(B) 27
(C) 18
(D) 16
(E) 81
a:
Stream of consciousness: (80/100) * 40 (4/5) * 20
32 - 16 = 16 The answer is (D).