question: Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
Options:
(A) 25200
(B) 2543
(C) 2344
(D) 233445
(E) 52757
answer: Stream of consciousness: Number of ways of selecting (3 consonants out of 7) and (2 vowels out of 4) = (7C3 x 4C2) = ( 7 x 6 x 5 x 4 x 3 ) 3 x 2 x 1 2 x 1 = 210. Number of groups, each having 3 consonants and 2 vowels = 210. Each group contains 5 letters. Number of ways of arranging 5 letters among themselves = 5! = 5 x 4 x 3 x 2 x 1 = 120. Required number of ways = (210 x 120) = 25200. The answer is (A).

q: A boy runs 200 metres in 48 seconds. What is his speed ?
Options:
(A) 10 km/hr
(B) 15 km/hr
(C) 11 km/hr
(D) 12 km/hr
(E) 14 km/hr
a: Stream of consciousness: 200/48 * 18/5 = 15 km/hr The answer is (B).

question: What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for four years?
Options:
(A) 28800
(B) 24800
(C) 24400
(D) 20000
(E) None
answer: Stream of consciousness: Simple interest = (18000 * 4 * 15)/100 = Rs. 10800
Amount = P + I = 18000 + 10800 = Rs. 28800 The answer is (A).

q: There are 3 persons Sudhir, Arvind, and Gauri. Sudhir lent cars to Arvind and Gauri as many as they had already. After some time Arvind gave as many cars to Sudhir and Gauri as many as they have. After sometime Gauri did the same thing. At the end of this transaction each one of them had 24. Find the cars each originally had.
Options:
(A) Sudhir had 34 cars, Arvind had 21 cars and Gauri had 12 cars.
(B) Sudhir had 38 cars, Arvind had 21 cars and Gauri had 12 cars.
(C) Sudhir had 39 cars, Arvind had 21 cars and Gauri had 12 cars.
(D) Sudhir had 32cars, Arvind had 21 cars and Gauri had 12 cars.
(E) Sudhir had 36 cars, Arvind had 21 cars and Gauri had 12 cars.
a: Stream of consciousness: Sudhir Arvind Gauri
Finally 24 24 24
Before Gauri's transaction 12 12 48
Before Arvind's transaction 6 42 24
Before Sudhir' s transaction 39 21 12 The answer is (C).

question: A pipe can fill a cistern in 7 minutes whereas the cistern when fill can be emptied by a leak in 14 minutes. When both pipes are opened, find when the cistern will be full?
Options:
(A) 17
(B) 16
(C) 70
(D) 14
(E) 12
answer: Stream of consciousness: 1/7 - 1/14 = 1/14
14 minutes The answer is (D).

question: From a Group of 9 People, Including George and Nina, 4 people are to be selected at random to work on a certain project. What is the probability that 4 people selected will include George but not Nina
Options:
(A) 5/56
(B) 9/56
(C) 15/56
(D) 35/120
(E) 25/56
answer:
Stream of consciousness: Number of ways of selecting 4 people out of 9 people = 9C4
In the three members George will always be there in the team. At this step we have vacancy for 3 more members and 8 members are available. Nina cannot be there in the team. So 3 members have to be selected and the number of available members = 8 - Nina = 7
Number of ways to form a 4 member team that includes George and excludes Nina = 7C3
Probability = 7C3/9C4 = 35/120 The answer is (D).