question: 9 basketball players are trying out to be on a newly formed basketball team. Of these players, 5 will be chosen for the team. If 6 of the players are guards and 3 of the players are forwards, how many different teams of 3 guards and 2 forwards can be chosen?
Options:
(A) 23
(B) 30
(C) 42
(D) 60
(E) 126
answer: Stream of consciousness: Out of 6 gaurds we have to select 3 -> selection means we use C -> so 6C3
Out of 3 forwards we have to select 2 -> selection means we use C -> so 3C2
Total ways = 6C3 x 3C2 = 60 The answer is (D).

q: It was 7:00 when Bill looked at the clock, he looks at the clock again 30 minutes later. What time is it now?
Options:
(A) 7:30
(B) 7:00
(C) 8:00
(D) 1:28
(E) 2:40
a: Stream of consciousness: If it's 7:00 and 30 minutes pass buy, it will be 7:30 The answer is (A).

question: If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K 5 and 5K + 1 is 85, what is the value of K?
Options:
(A) 11
(B) 15 3/4
(C) 31
(D) 23
(E) 25 3/10
answer: Stream of consciousness: K + 2K +3 + 3K - 5 + 5K +1 = 11K -1
(11K -1)/4 = 85
11K = 85 * 4 +1 = 340 +1 = 341
K = 253 / 11 = 31. The answer is (C).

q: A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 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) 1:8
(C) 1:1
(D) 1:6
(E) 1:3
a: Stream of consciousness: T = 192/32 = 6 h
T = 6 - 3 = 3
Time Ratio = 6:3 = 2:1
Speed Ratio = 1:2 The answer is (A).

question: How much is 60% of 40 is greater than 4/5 of 25?
Options:
(A) 4
(B) 6
(C) 10
(D) 8
(E) 13
answer: Stream of consciousness: 60/100) * 40 (4/5) * 25
24 - 20 = 4 The answer is (A).

question: X can finish a work in 20 days. Y can finish the same work in 16 days. Y worked for 12 days and left the job. how many days does X alone need to finish the remaining work?
Options:
(A) 2
(B) 3
(C) 9
(D) 5
(E) 8
answer:
Stream of consciousness: Work done by X in 1 day = 1/20
Work done by Y in 1 day = 1/16
Work done by Y in 12 days = 12/16 = 3/4
Remaining work = 1 3/4 = 1/4
Number of days in which X can finish the remaining work = (1/4) / (1/20) = 5 The answer is (D).