question: If n is an integer, then the least possible value of |33 - 5n| is?
Options:
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
answer: Stream of consciousness: |33 - 5n| represents the distance between 33 and 5n on the number line. Now, the distance will be minimized when 5n, which is multiple of 5, is closest to 33. Multiple of 5 which is closest to 33 is 35 (for n = 7), so the least distance is 2: |33 - 35| = 2. The answer is (C).

q: The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Options:
(A) 80,30 kmph
(B) 80,20 kmph
(C) 80,10 kmph
(D) 80,40 kmph
(E) 80,90 kmph
a: Stream of consciousness: Speed downstream = 60 + 20 = 80 kmph
Speed upstream = 60 - 20 = 40 kmph The answer is (D).

question: Two trains are moving at 85 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Options:
(A) 5 25/31 sec
(B) 7 1/17 sec
(C) 7 2/2 sec
(D) 8 1/2 sec
(E) 7 1/9 sec
answer: Stream of consciousness: 70 + 85 = 155 * 5/18 = 775/18 mps
D = 150 + 100 = 250 m
T = 250 * 18/775 = 180/31 = 5 25/31 sec The answer is (A).

q: An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 5 transportation stocks, and 3 utility stocks, how many different combinations of 7 stocks are possible?
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Options:
(A) 12
(B) 19
(C) 60
(D) 180
(E) 300
a: Stream of consciousness: 5C3 * 5C2 * 3C2 = 10*10*3 = 300. The answer is (E).

question: A train 210 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Options:
(A) 40 sec
(B) 50 sec
(C) 44 sec
(D) 49 sec
(E) 28 sec
answer: Stream of consciousness: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 210 + 140 = 350 m
Required time = 350 * 2/25 = 28 sec The answer is (E).

question: 85% of the population of a city is 85000. The total population of the city is?
Options:
(A) 95000
(B) 97500
(C) 100000
(D) 105000
(E) 102500
answer:
Stream of consciousness: X * (85/100) = 85000
X = 1000 * 100
X = 100000 The answer is (C).