question: A train running at the speed of 60 km/hr crosses a pole in 15 seconds. Find the length of the train?
Options:
(A) 150
(B) 872
(C) 250
(D) 288
(E) 212
answer: Stream of consciousness: Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 15 = 250 meter The answer is (C).

q: 60 is increased by 50%. Find the final number.
Options:
(A) 100
(B) 110
(C) 90
(D) 30
(E) 160
a: Stream of consciousness: Final number = Initial number + 50%(original number) = 60 + 50%(60) = 60 + 30 = 90. The answer is (C).

question: Find the least number must be subtracted from 165826 so that remaining no.is divisible by 4?
Options:
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
answer: Stream of consciousness: On dividing 165826 by 4 we get the remainder 2, so 2 should be subtracted The answer is (B).

q: Let the second number be 3x, so that the first number is 6x and the third number is 2x.
Options:
(A) 22
(B) 77
(C) 98
(D) 27
(E) 36
a: Stream of consciousness: 6x + 3x + 2x = 132 x = 12. Second number = 3x = 312 = 36. The answer is (E).

question: An entrepreneurship competition requires registering teams to have 3 team members, at least one of which must be a technology co-founder. If all team members must come from the auditorium during the meet and greet event which has 4 technologists and 8 businessmen, how many possible team submissions are possible?
Options:
(A) 76
(B) 100
(C) 164
(D) 198
(E) 202
answer: Stream of consciousness: We have 3 scenarios here:
1) 1 tech2 businessmen: 4C1 x 8C2 = 112
2) 2 tech1 businessman: 4C2 x 8C1 = 48
3) 3 tech0 businessmen: 4C3 = 4
Total: 112+48+4 = 164 The answer is (C).

question: How many 4 letter combinations can be made from the letters of the word VERMONT if the first letter has to be a vowel and the last letter has to be a consonant, and each letter can be used only once?
Options:
(A) 21
(B) 42
(C) 120
(D) 600
(E) 200
answer:
Stream of consciousness: Vowel: E O
Consonants: V R M N T
First letter can be filled in 2 Ways ( As the question states thatfirst letter has to be a vowel)
Fourth letter can be filled in 5 Ways ( As the question states thatthe last letter has to be a consonant)
Now since each letter can be used only once, and 2 letters out of 7 letters are already used in First and fourth letter
Second letter can be filled in 5 Ways
Third letter can be filled in 4 Ways
So, Total number of ways = 2 Ways x 5 Ways x 4 ways x 5 ways = 200 The answer is (E).