q: There are 3 teams each with 7 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) 147
(D) 28
(E) 45
a: 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 49 possibilities (7*7) since each team has 7 players. So there are a total of 147 possibilities (49*3). I hope this method is easier for you to understand. The answer is (C).

question: John has $2500 in his bank account that earns 10% interest every year. How much will be in John's bank account after one year?
Options:
(A) $2600
(B) $3000
(C) $2250
(D) $2750
(E) $3500
answer: Stream of consciousness: Final number = Initial number + 20%(original number) = 2500 + 10%(2500) = 2500 + 250 = 2750. The answer is (D).

q: The edge of a cube is 3a cm. Find its surface?
Options:
(A) 64a2 cm2
(B) 54a2 cm2
(C) 84a2 cm2
(D) 24a2 cm2
(E) 34a2 cm2
a: Stream of consciousness: 6a2 = 6 * 3a * 3a = 54a2 The answer is (B).

question: The compound ratio of 2/3, 6/7, 1/3 and 1/8 is given by?
Options:
(A) 1/45
(B) 1/42
(C) 1/46
(D) 1/48
(E) 1/43
answer: Stream of consciousness: 2/3 * 6/7 * 1/3 * 1/8 = 1/42 The answer is (B).

q: How many factors does 49^2 have?
Options:
(A) 2
(B) 8
(C) 24
(D) 25
(E) 36
a: Stream of consciousness: 36^2 = 6*6*6*6 = 2^4*3^4
Total factors = (4+1)*(4+1) = 6*6 = 36 The answer is (E).

q: What is theleast number should be added to 1056, so the sum of the number is completely divisible by 23?
Options:
(A) 1
(B) 2
(C) 4
(D) 5
(E) 6
a:
Stream of consciousness: (1056 / 23) gives remainder 21
21 + 2 = 23, So we need to add 2 The answer is (B).