question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train?
Options:
(A) 150
(B) 277
(C) 299
(D) 662
(E) 181
answer: Stream of consciousness: Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 9 = 150 meter The answer is (A).

q: In what time a sum of money double itself at 6% per annum simple interest?
Options:
(A) 33 1/8%
(B) 33 1/3%
(C) 83 1/3%
(D) 33 4/3%
(E) 16 2/3%
a: Stream of consciousness: P = (P*6*R)/100
R = 16 2/3% The answer is (E).

question: The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
Options:
(A) 27
(B) 30
(C) 31
(D) 33
(E) 34
answer: Stream of consciousness: The total of seven numbers = 7X18 = 126
The total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99
So, the middle number is (126 - 99 ) = 27 The answer is (A).

q: A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?
Options:
(A) 165
(B) 185
(C) 205
(D) 225
(E) 245
a: Stream of consciousness: Total number of persons in the committee = 5 + 6 = 11
Number of ways of selecting group of eight persons = C = C = (11 * 10 * 9)/(3 * 2) = 165 ways. The answer is (A).

question: If six persons sit in a row, then the probability that three particular persons are always together is?
Options:
(A) 1/5
(B) 1/4
(C) 1/9
(D) 1/6
(E) 1/1
answer: Stream of consciousness: Six persons can be arranged in a row in 6! ways. Treat the three persons to sit together as one unit then there four persons and they can be arranged in 4! ways. Again three persons can be arranged among them selves in 3! ways. Favourable outcomes = 3!4! Required probability = 3!4!/6! = 1/5 The answer is (C).

question: The year next to 1991 having the same calendar as that of 1990 is
Options:
(A) 1998
(B) 2001
(C) 2002
(D) 2003
(E) None of these
answer:
Stream of consciousness: We go on counting the odd days from 1991 onward still the sum is divisible by 7. The number of such days are 14 upto the year 2001. So, the calender for 1991 will be repeated in the year 2002. The answer is (C).