question: The number N is H,284, where H represents the ten's digit. If N is divisible by 6, what is the value of H?
Options:
(A) 1
(B) 2
(C) 3
(D) 5
(E) 8
answer: Stream of consciousness: If the number is divisible by 6, then the sum of the digits must also be divisible by both 3 and 2. Only 1 yields such a number. The answer is (A).

q: 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
a: Stream of consciousness: 72 kmph = 72 * 5/18 = 20 mps
Dist = Speed * time = 20 * 30 = 600 m. The answer is (C).

question: A pipe can fill a cistern in 20 minutes whereas the cistern when full can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full?
Options:
(A) 17
(B) 16
(C) 70
(D) 13
(E) 12
answer: Stream of consciousness: 1/20 - 1/28 = 1/70
70 minutes The answer is (C).

q: There are 9 fictions and 6 non-fictions. How many cases are there such that 2 fictions and 2 non-fictions are selected from them?
Options:
(A) 90
(B) 120
(C) 540
(D) 180
(E) 200
a: Stream of consciousness: Number of ways of selecting 2 fiction books = 9C2
Number of ways of selecting 2 non fiction books = 6C2
9C2 * 6C2 = 36 * 15 = 540 The answer is (C).

question: In how many different ways can the letters of the word 'EXTENT' be arranged?
Options:
(A) 250
(B) 180
(C) 300
(D) 310
(E) 360
answer: Stream of consciousness: Number of ways = 6!/2!2! = 6X5X4X3X2X1/2X1X2X1 = 180 The answer is (B).

question: If A takes x days to do a work then B takes 2x days to do the same work then with in how many day's A will alone complete this work ?
Options:
(A) 27
(B) 23
(C) 24
(D) 25
(E) 26
answer:
Stream of consciousness: 1/x+1/2x = 1/18 = > 3/2x = 1/18 = > x = 27 days. Hence, A alone can finish the work in 27 days. The answer is (A).