q: A train running at the speed of 90 km/hr crosses a pole in 9 seconds. Find the length of the train.
Options:
(A) 225 meter
(B) 200 meter
(C) 250 meter
(D) 210 meter
(E) 230 meter
a: Stream of consciousness: Speed = 90*(5/18) m/sec = 25 m/sec
Length of Train (Distance) = Speed * Time
(25) * 9 = 225 meter The answer is (A).

question: The average of 11 results is 46, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
Options:
(A) 21
(B) 56
(C) 100
(D) 25
(E) 23
answer: Stream of consciousness: 1 to 11 = 11 * 46 = 506
1 to 6 = 6 * 49 = 294
6 to 11 = 6 * 52 = 312
6th = 294 + 312 506 = 100 The answer is (C).

q: Eight friends go to watch a movie but only 5 tickets were available. In how many different ways can 5 people sit and watch the movie?
Options:
(A) 8C5
(B) 8*7*6*5*4
(C) 5!
(D) 8!/5!
(E) 8*5
a: Stream of consciousness: Choosing 5 out of 8, when order matters P58, or choosing 5 out of 8, without order and then arranging: C585! The answer is (B).

question: A train running at the speed of 60 km/hr crosses a pole in 12 sec. What is the length of the train?
Options:
(A) 120 m
(B) 200 m
(C) 324 m
(D) Cannot be determined
(E) None of these
answer: Stream of consciousness: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 12 = 200 m The answer is (B).

q: The average of thirteen numbers is 9. The average of first six numbers is 5 and the average of last six numbers is 7. What is the middle number?
Options:
(A) 47
(B) 45
(C) 25
(D) 37
(E) 44
a: Stream of consciousness: The total of thirteen numbers = 13X9 = 117
The total of first 6 and last 6 numbers is = 6 X 5+6 X 7 = 72
So, the middle number is (117 - 72 ) = 45 The answer is (B).

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) 35, 25 kmph
(B) 80, 40 kmph
(C) 40, 60 kmph
(D) 50, 55 kmph
(E) 50, 65 kmph
a:
Stream of consciousness: Speed downstream = 60 + 20 = 80 kmph
Speed upstream = 60 - 20 = 40 kmph The answer is (B).