q: There are 3 teams each with 3 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) 27
(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 9 possibilities (3*3) since each team has 3 players. So there are a total of 27 possibilities (9*3). I hope this method is easier for you to understand. The answer is (C).


question: In how many different number of ways 6 men and 2 women can sit on a shopa which can accommodate persons?
Options:
(A) 200
(B) 1680
(C) 240
(D) 250
(E) 260
answer: Stream of consciousness: 8p4 = 8 X 7 Ã— 6 Ã— 5 = 1680 The answer is (B).


q: If rupee one produces rupees nine over a period of 54 years, find the rate of simple interest?
Options:
(A) 22 1/7 %
(B) 22 3/2 %
(C) 22 1/8 %
(D) 22 1/2 %
(E) 16 2/3 %
a: Stream of consciousness: 9 = (1*54*R)/100
R = 16 2/3 % The answer is (E).


question: Calculate the largest 5 digit number which is exactly divisible by 77?
Options:
(A) 99111
(B) 99946
(C) 99869
(D) 99792
(E) 99654
answer: Stream of consciousness: Largest 4 digit number is 99999
After doing 99999 ÷ 77 we get remainder 53
Hence largest 5 digit number exactly divisible by 77 = 99999 - 53 = 99946 The answer is (B).


q: An entrepreneurship competition requires registering teams to have 3 team members, at least one of which must be a technology co-founder. If all team members must come from the auditorium during the meet and greet event which has 4 technologists and 5 businessmen, how many possible team submissions are possible?
Options:
(A) 74
(B) 100
(C) 162
(D) 198
(E) 202
a: Stream of consciousness: We have 3 scenarios here:
1) 1 tech2 businessmen: 4C1 x 5C2 = 40
2) 2 tech1 businessman: 4C2 x 5C1 = 30
3) 3 tech0 businessmen: 4C3 = 4
Total: 144+54+4 = 74 The answer is (A).


q: A can do a work in 9 days and B can do the same work in 18 days. If they work together, in how many days will they complete the work?
Options:
(A) 6 days
(B) 7 days
(C) 5 days
(D) 3 days
(E) 2 days
a:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
Stream of consciousness: One day's work of A and B = 1/9 + 1/8 = (2+1)/18 = 1/6 So, the time taken to complete the work is 6 days. The answer is (A).