Q: The average of first 9 odd numbers is?
Options:
(A) 5
(B) 6
(C) 7
(D) 8
(E) 9
A: OK... Stream of consciousness: Sum of 9 odd no. = 90
Average = 81/9 = 9
The answer is (E).

Q: An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 7 stocks are possible?
Options:
(A) 12
(B) 19
(C) 60
(D) 180
(E) 720
A: OK... Stream of consciousness: 5C3 * 4C2 * 3C2 = 10*6*3 = 180.
The answer is (D).

Q: 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
A: OK... 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 train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
Options:
(A) 356
(B) 278
(C) 127
(D) 279
(E) 150
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
OK... Stream of consciousness: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 9 = 150 m
The answer is (E).