q: 396, 462, 572, 427, 671, 264
Options:
(A) 396
(B) 427
(C) 671
(D) 264
(E) 572
a: Stream of consciousness: In each number except 427, the middle digit is the sum of other two. The answer is (B).

question: The floor of a rectangular room is 15 m long and 12 m wide. The room is surrounded by a verandah of width 2 m on all its sides. The area of the verandah is :
Options:
(A) 124 m2
(B) 120 m2
(C) 108 m2
(D) 58 m2
(E) None of these
answer: Stream of consciousness: Area of the outer rectangle = 19 16 = 304 m2
Area of the inner rectangle = 15 12 = 180 m2
Required area = (304 180) = 124 m2 The answer is (A).

q: A motorcyclist goes from Nagpur to Pune, a distance of 500 kms at an average of 100 kmph speed. Another man starts from Nagpur by car 3 hours after the first, and reaches Pune hour earlier. What is the ratio of the speed of the motorcycle and the car?
Options:
(A) 1:2
(B) 1:7
(C) 3:5
(D) 1:5
(E) 1:1
a: Stream of consciousness: T = 500/100 = 10 h
T = 10 - 4 = 6
Time Ratio = 10:6 = 5:3
Speed Ratio = 3:5 The answer is (C).

question: From among the 31 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?
Options:
(A) 1360
(B) 1260
(C) 1060
(D) 1160
(E) 930
answer: Stream of consciousness: There are 31 students and every one has equal chance of being selected as a leader. Hence, the leader can be appointed in 31 ways. When one person is appointed as leader, we are left with 35 students. Out of these 30 teachers, we can select one class representative. So, a class representative can be selected in 30 ways. Hence, the number of ways in which a leader and class representative can be selected = 31 x 30 = 930 The answer is (E).

q: How much 60% of 50 is greater than 40% of 30?
Options:
(A) 18
(B) 55
(C) 33
(D) 22
(E) 11
a: Stream of consciousness: (60/100) * 50 (40/100) * 30
30 - 12 = 18 The answer is (A).

q: There are 7 fictions and 6 non-fictions. How many cases are there such that 2 fictions and 2 non-fictions are selected from them?
Options:
(A) 90
(B) 120
(C) 315
(D) 180
(E) 200
a:
Stream of consciousness: Number of ways of selecting 2 fiction books = 7C2
Number of ways of selecting 2 non fiction books = 6C2
7C2 * 6C2 = 21 * 15 = 315 The answer is (C).