question: In how many different ways can be letters of the word SOFTWARE be arranged in such a way that the vowels always come together?
Options:
(A) 13440
(B) 1440
(C) 360
(D) 120
(E) None of these
answer: Stream of consciousness: When the vowels are always together, then treat all the vowels as a single letter and then all the letters can be arranged in 6! ways and also all three vowels can be arranged in 3! ways. Hence, required no. of arrangements = 6! 3! = 4320. The answer is (E).

q: In the following equation what value would come in place of question mark (?)?
5798 ? = 7385 4632
Options:
(A) 3225
(B) 2595
(C) 2775
(D) 3045
(E) None of these above
a: Stream of consciousness: ? = 5798 + 4632 7385 = 3045 The answer is (D).

question: What is the probability that Company E's advertisement will be one of the first two be shown during the first commercial break?
Options:
(A) 1/ 225
(B) 1 / 30
(C) 1 /15
(D) 2 / 15
(E) 4 /15
answer: Stream of consciousness: E 1/15 + (14/15) * 1/14 = 2/15 The answer is (D).

q: What approximate value should come in place of the question mark (?) in the following equation'?
3 35 of 157.85 + 39% of 1847 = ? 447.30
Options:
(A) 1200
(B) 1500
(C) 1600
(D) 1800
(E) 2100
a: Stream of consciousness: ? 185 160 + 401000 1850 + 450
576 + 740 + 450 1760 1800 The answer is (D).

question: What distance will be covered by a city bus moving at 72 kmph in 30 seconds?
Options:
(A) 200 m
(B) 300 m
(C) 600 m
(D) 500 m
(E) 400 m
answer: Stream of consciousness: 72 kmph = 72 * 5/18 = 20 mps
Dist = Speed * time = 20 * 30 = 600 m. The answer is (C).

question: There are 8 books in a shelf that consist of 3 paperback books and 5 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) 40
(B) 46
(C) 50
(D) 55
(E) 60
answer:
Stream of consciousness: 8C3 [Select any four] -5C3 [Select all hard backs] = 46 The answer is (B).