Question: There are 8 books in a shelf that consist of 1 paperback books and 7 hardback books. If 4 books are selected at random without replacement, how many different combinations are there that at least one paperback book is selected?
Options:
(A) 35
(B) 45
(C) 50
(D) 55
(E) 60
Answer: 8C4 [Select any four] - 7C4 [Select all hard backs] = 35.
The answer is (A).

Question: A man walks at a speed of 2 km/hr and runs at a speed of 7 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running?
Options:
(A) 4 5/2 hours.
(B) 2 5/2 hours.
(C) 3 5/2 hours.
(D) 5 5/2 hours.
(E) 8 5/2 hours.
Answer: Required time = (5 1/4)/2 + (5 1/4)/7 = 3 5/2 hours.
The answer is (C).

Question: Three friends-whose walking rates are 1 ft./sec., 3ft./sec.,and 6ft./sec. start together walking in the same direction around a circular track that is 240 feet in circumference.After how many minutes are the three of them together again?
Options:
(A) 4 mins
(B) 10 mins
(C) 15 mins
(D) 3 mins
(E) 7 mins
Answer: Answer will be A
The time they take will be what the 1st friend takes to complete one circumference as he is the slowest and that is the point all 3 of them will be together at the end of 4 mins.
The answer is (A).

Question: How much is 55% of 40 is greater than 4/5 of 25?
Options:
(A) 29
(B) 776
(C) 2
(D) 12
(E) 99
Answer:
(55/100) * 40 (4/5) * 25
22 - 20 = 2
The answer is (C).