Question: An analyst will recommend a combination of 1 industrial stocks, 1 transportation stocks, and 1 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 3 stocks are possible?
Options:
(A) 12
(B) 19
(C) 60
(D) 180
(E) 720
Answer: 5C1 * 4C1 * 3C1 = 5*4*3 = 60.
The answer is (C).

Question: List K consists of 14 consecutive integers. If -4 is the least integer in list K, what is the range of the positive integers in list K?
Options:
(A) 5
(B) 6
(C) 7
(D) 8
(E) 12
Answer: Answer = D = 8
If least = -4, then largest = 9
Range = 9 - 1 = 8
The answer is (D).

Question: There are 8 books in a shelf that consist of 1 paperback books and 7 hardback books. If 3 books are selected at random without replacement, how many different combinations are there that at least one paperback book is selected?
Options:
(A) 21
(B) 45
(C) 50
(D) 55
(E) 60
Answer: 8C3 [Select any four] - 7C3 [Select all hard backs] = 21
The answer is (A).

Question: There are 5 sweets Jumun, Kulfi, Peda, Laddu and Jilabi that I wish to eat on 5 consecutive days Monday through Friday, one sweet a day, based on the following self imposed constraints:
1) Laddu is not eaten on Monday
2) If Jamun is eaten on Monday, then Laddu must be eaten on Friday
3) If Laddu is eaten on Tuesday, Kulfi should be eaten on Monday
4) Peda is eaten the day following the day of eating Jilabi
Based on the above, peda can be eaten on any day except?
Options:
(A) Tuesday
(B) Monday
(C) Wednesday
(D) Friday
(E) Sunday
Answer:
Peda is eaten the day following the day of eating Jilabi, So Peda can never be had on the starting day, which is Monday.
The answer is (B).