question: A teacher has to choose the maximum different groups of three students from a total of six students. Of these groups, in how many groups there will be included in a particular student?
Options:
(A) 6
(B) 8
(C) 10
(D) 12
(E) 15
answer: Stream of consciousness: If students are A, B, C, D, E and F; we can have 6C3 groups in all. However, if we have to count groups in which a particular student (say A) is always selected we would get 5C2 = 10 ways of doing it. The answer is (C).


q: A can do a piece of work in 20 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?
Options:
(A) 18
(B) 77
(C) 66
(D) 55
(E) 10
a: Stream of consciousness: 8/20 + 6/x = 1
X = 10 days The answer is (E).


question: A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
Options:
(A) 4
(B) 7
(C) 6
(D) 8
(E) 9
answer: Stream of consciousness: S = 600/40 = 15 mps
S = 3600/15 = 240 sec = 4 min The answer is (A).


q: BCB, DED, FGF, HIH, ___
Options:
(A) KOP
(B) QLM
(C) JKJ
(D) PSQ
(E) IOP
a: Stream of consciousness: This series consists of a simple alphabetical order with the first two letters of all segments: B, C, D, E, F, G, H, I, J, K. The third letter of each segment is a repetition of the first letter. The answer is (C).


question: At what rate percent on simple interest will a sum of money double itself in 60 years?
Options:
(A) 3 1/3%
(B) 3 1/9%
(C) 1 2/3%
(D) 3 2/3%
(E) 3 6/3%
answer: Stream of consciousness: P = (P*60*R)/100
R = 1 2/3% The answer is (C).


question: The ratio of men to women in the Snyder community choir is 4 to 5. The ratio of men to women in the Leigh community choir is 5 to 6. If the two choirs merged, the ratio of men to women in the combined choir would be 22 to 27. If Snyder has 4 more men and 6 more women than Leigh, how many women are in the Snyder choir?
Options:
(A) 20
(B) 24
(C) 30
(D) 32
(E) 34
answer:

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: Use simultaneous equations / By combination
4x = 5y + 4
5x = 6y + 6
Multiply (1) by 6
Multiply (2) by -5
Get rid of y, and x = 6
Then 5x = 30 The answer is (C).