q: From among the 35 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) 1190
(E) 1460
a: Stream of consciousness: There are 35 students and every one has equal chance of being selected as a leader. Hence, the leader can be appointed in 35 ways. When one person is appointed as leader, we are left with 35 students. Out of these 34 teachers, we can select one class representative. So, a class representative can be selected in 34 ways. Hence, the number of ways in which a leader and class representative can be selected = 35 x 34 = 1190 The answer is (D).

question: A no.when divided by 242 gives a remainder 100, what remainder will be obtainedby dividingthe same no.18?
Options:
(A) 15
(B) 16
(C) 17
(D) 18
(E) 19
answer: Stream of consciousness: 242 + 100 = 342/18 = 19 (Remainder) The answer is (E).

q: The average of first 12 even numbers is?
Options:
(A) 10
(B) 11
(C) 12
(D) 13
(E) 14
a: Stream of consciousness: Sum of 12 even numbers = 12 * 13 = 156
Average = 156/13 = 13 The answer is (D).

question: On a clock, how many times a day do the minute and hour hand overlap?
Options:
(A) 10
(B) 11
(C) 20
(D) 22
(E) 24
answer: Stream of consciousness: 22 times: 12:00:00, 1:05:27, 2:10:55, 3:16:22, 4:21:49, 5:27:16, 6:32:44, 7:38:11, 8:43:38, 9:49:05, 10:54:33. Each twice a day. The answer is (D).

q: Find the mean proportional between 36 & 49?
Options:
(A) A) 42
(B) B) 61
(C) C) 63
(D) D) 65
(E) E) 67
a: Stream of consciousness: Formula = ab
A = 36 and B = 49
3649 = 6 7 = 42 The answer is (A).

q: Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 86 players took part in that tournament. How many matches were played?
Options:
(A) 90 matches
(B) 95 matches
(C) 99 matches
(D) 85 matches
(E) 87 matches
a:
Stream of consciousness: D 85 matches. The number of matches will always sum up to one less than the number of players in a knock out tournament. You may calculate it in any manner. Thus 85 matches were playe The answer is (D).