Reasoning: 4C3 * 4C2 * 3C2 = 4*6*3 = 72.
Ans: (C)
Question: An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 4 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 7 stocks are possible?
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Options:
(A) 12
(B) 19
(C) 72
(D) 180
(E) 720

Rationale: E
13
This is an alternating addition and subtraction series. In the first pattern, 6 is added to each number to arrive at the next. In the second, 2 is subtracted from each number to arrive at the next.
The answer: (E)
Question: In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much?
Look at this series: 1, 5, 7, 3, __, 1 ...Which number is missing?
Options:
(A) 2
(B) 4
(C) 12
(D) 0
(E) 13

Reasoning: 6 people can be prized with distinct prizes in 6^6 ways
Ans: (A)
Question: In a race with 30 runners where 6 trophies will be given to the top 6 runners (the trophies are distinct: first place, second place, etc), how many ways can this be done?
Options:
(A) 6^6 ways
(B) 8^9 ways
(C) 7^8 ways
(D) 8^7 ways
(E) 8^6 ways

Rationale: Since w#Z and w are positive, we need to take the value of w such that w#z or w^3z(8 - w^2) is positiv
The answer: (E)
Question: For any numbers w and z, w#z = w^3z(8 - w^2). If both z and w#z are positive numbers, which of the following could be a value of w?
Options:
(A) 9
(B) 3
(C) 0
(D) −2
(E) −9

Reasoning: 10 books can be rearranged in 10! ways consider the two books taken as a pair then number of favourable ways of getting these two books together is 9! 2!
Required probability = 1/5
Ans: (C)
Question: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is
Options:
(A) 1/10
(B) 9/10
(C) 1/5
(D) 3/10
(E) 1/2

Reasoning: T = 60/36 * 18/5 = 6 sec
Ans: (B)

Question: In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Options:
(A) 9 sec
(B) 6 sec
(C) 8 sec
(D) 10 sec
(E) 11 sec