q: Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines is
Options:
(A) 1
(B) 3
(C) 4
(D) 0
(E) 2
a: Stream of consciousness: 4 points are possible in which 1 point is the incentre of the circle and other 3 are excentres The answer is (C).

question: A car traveled from San Diego to San Francisco at an average speed of 48 miles per hour. If the journey back took twice as long, what was the average speed of the trip?
Options:
(A) 24.
(B) 32.
(C) 36
(D) 42.
(E) 44.
answer: Stream of consciousness: Let the time taken be = x
One way distance = 48x
Total distance traveled = 2 * 48x = 96x
Total time taken = x + 2x = 3x
Average speed = 96x/3x = 32 The answer is (B).

q: How much is 80% of 40 is greater than 4/5 of 15?
Options:
(A) 12
(B) 20
(C) 18
(D) 12
(E) 81
a: Stream of consciousness: (80/100) * 40 (4/5) * 15
32 - 12 = 20 The answer is (B).

question: A sells a Cricket Bat to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays $234 for it, the cost price of the Cricket Bat for A is:
Options:
(A) 156
(B) 120
(C) 130
(D) 160
(E) 210
answer: Stream of consciousness: 125% of 120% of A = 234
125/100 * 120/100 * A = 234
A = 234 * 2/3 = 156. The answer is (A).

q: If 4 men can colour 48 m long cloth in 2 days, then 2 men can colour 36 m long cloth in
Options:
(A) 1 day
(B) 2 days
(C) 3 days
(D) 4 days
(E) 5 days
a: Stream of consciousness: The length of cloth painted by one man in one day = 48 / 4 2 = 6 m
No. of days required to paint 36 m cloth by 6 men = 36/ 6 2 = 3 day. The answer is (C).

q: Find a a prime number from the options below.
Options:
(A) 69
(B) 70
(C) 71
(D) 72
(E) 74
a:
Stream of consciousness: Clearly, 71 is a prime number. The answer is (C).