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: If C is the temperature in degrees Celsins and F is the temperature in degrees Fahrenheit, then the relationship between temperatures on the two scales is expressed by the equation 9C=5(F-32). In a weekly range of temperature recorded at a certain weather station differed by 25 degrees on the Fahrenheit scale, by how many degrees did the temperature extremes differ on the Celsius scale?
Options:
(A) a) 65/9
(B) b) 13
(C) c) 25
(D) d) 45
(E) e) 81
a: Stream of consciousness: The relationship is 9/5 - 32, so approximately half of difference in Celsius (the -32 part won't be used in this case). Just looking at the answer choices you can pick B which is the only number near half of 25. The other answer choices are too far apart so no need to calculate. The answer is (B).

question: What percent is 120 of 60?
Options:
(A) 133 1/3 %
(B) 134 1/3 %
(C) 200 %
(D) 140 1/3 %
(E) 143 1/3 %
answer: Stream of consciousness: 120/60 = 2/1
2 100 = 200 % The answer is (C).

q: In how many different ways can the letters of the word 'PREPTY' be arranged?
Options:
(A) 160
(B) 190
(C) 210
(D) 368
(E) 360
a: Stream of consciousness: Number of ways = 61/21 6X5X4X3X2X1 - 360 The answer is (E).

question: A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 hours after the first, and reaches Pune hour earlier. What is the ratio of the speed of the motorcycle and the car?
Options:
(A) 1:2
(B) 1:5
(C) 1:9
(D) 1:3
(E) 1:1
answer: Stream of consciousness: T = 192/32 = 6 h
T = 6 - 3 = 3
Time Ratio = 6:3 = 2:1
Speed Ratio = 1:2 The answer is (A).

question: A man rows his boat 80 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Options:
(A) 1 kmph
(B) 6 kmph
(C) 5 kmph
(D) 8 kmph
(E) 7 kmph
answer:
Stream of consciousness: Speed downstream = d/t = 80/(2 1/2) = 32 kmph
Speed upstream = d/t = 45/(2 1/2) = 18 kmph
The speed of the stream = (32 - 18)/2 = 7 kmph The answer is (E).