question: If P(A) = 2/15, P(B) = 7/15, and P(A B) = 16/15 Find P(A|B)
Options:
(A) 1/2
(B) 16/7
(C) 3/2
(D) 4/5
(E) 4/7
answer: Stream of consciousness: P(A|B) = P(A B)/P(B)
P(A|B) = (16/15)/(7/15) = 16/7. The answer is (B).

q: A bag contains nine black balls, three red balls and four red balls. In how many ways can two balls be drawn from the bag?
Options:
(A) C
(B) C
(C) C
(D) C
(E) C
a: Stream of consciousness: Total number of balls = 9 + 3 + 4
Two balls can be drawn from 16 balls in C ways. The answer is (A).

question: Find the product of the local value and absolute value of 4 in 20468?
Options:
(A) 1000
(B) 1200
(C) 1340
(D) 1450
(E) 1600
answer: Stream of consciousness: Local value of 4 = 4 x 100 = 400
Place value of 4 = 4
There fore = 4 x 400 = 1600 The answer is (E).

q: How many seconds will a train 100 meters long take to cross a bridge 130 meters long if the speed of the train is 36 kmph?
Options:
(A) 23 sec
(B) 65 sec
(C) 25 sec
(D) 45 sec
(E) 24 sec
a: Stream of consciousness: D = 100 + 130 = 230
S = 36 * 5/18 = 10 mps
T = 230/10 = 23 sec The answer is (A).

question: A man rows his boat 78 km downstream and 56 km upstream, taking 4 hours each time. Find the speed of the stream?
Options:
(A) 6
(B) 5
(C) 7
(D) 8
(E) 3
answer: Stream of consciousness: Speed downstream = d/t = 78/(4) = 20 kmph
Speed upstream = d/t = 56/(4) = 14 kmph
The speed of the stream = (20 - 14)/2 = 3 kmph The answer is (E).

question: A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?
Options:
(A) 66 sec
(B) 46 sec
(C) 48 sec
(D) 65 sec
(E) 64 sec
answer:
Stream of consciousness: D = 540 + 180 = 720
S = 54 * 5/18 = 15 mps
T = 720/15 = 48 se The answer is (C).