q: There are 10 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) 675
(D) 180
(E) 200
a: Stream of consciousness: Number of ways of selecting 2 fiction books = 10C2
Number of ways of selecting 2 non fiction books = 6C2
10C2 * 6C2 = 45 * 15 = 675 The answer is (C).

question: In a division sum, the remainder is 5 and the divisor is 3 times the quotient and is obtained by adding 3 to the thrice of the remainder. The dividend is:
Options:
(A) 72
(B) 76
(C) 100
(D) 113
(E) 112
answer: Stream of consciousness: Diver = (5*3)+3 = 18
3* Quotient = 18
Quotient = 6
Dividend = (Divisor * Quotient) + Remainder
Dividend = (18* 6) + 5 = 113 The answer is (D).

q: Find the value of y from (12)^3 x 6^4 432 = y?
Options:
(A) 2234
(B) 4350
(C) 4560
(D) 5132
(E) 5184
a: Stream of consciousness: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62 The answer is (E).

question: There are 3 teams each with 5 basket players. How many combinations are there if we were to pick 2 players from the 3 teams such that no team was picked twice?
Options:
(A) 50
(B) 23
(C) 75
(D) 28
(E) 45
answer: Stream of consciousness: There are altogether three arrangements, which are we can select two members each from team A and B, each from team A and C, and each from team B and C. For each arrangement, there are altogether 25 possibilities (5*5) since each team has 5 players. So there are a total of 75 possibilities (25*3). The answer is (C).

q: a school has 4 maths 3 physics and 3 chemistry teachers each teacher can teach 2 subjects max what is he minimum number of teachers required
Options:
(A) 4
(B) 5
(C) 6
(D) 7
(E) 8
a: Stream of consciousness: Total subjects = 4 +3 +3 = 10
Max subjects by 1 teacher = 2
So, min of teachers required = 10/2 = 5 The answer is (B).

q: What number comes next in the following series? 4, 14, 44, 134, 404, ____
Options:
(A) 1204
(B) 1208
(C) 1214
(D) 1216
(E) 1220
a:
Stream of consciousness: 4
4 3 + 2 = 14
14 3 + 2 = 44
44 3 + 2 = 134
134 3 + 2 = 404
404 3 + 2 = 1214 The answer is (C).