question: Which of the following is not divisible by 8?
Options:
(A) 10032
(B) 21192
(C) 47816
(D) 91232
(E) 72034
answer: Stream of consciousness: Divisibility rule of 8: Last three digits of the number should be divisible by 8
Option A: 10032, last three digits = 032. Divisible by 8
Option B: 21192, last three digits = 192. Divisible by 8
Option C: 47816, last three digits = 816. Divisible by 8
Option D: 91232, last three digits = 232. Divisible by 8
Option E: 72034, last three digits = 034. Not divisible by 8. Hence 72034 is not divisible by 8 The answer is (E).

q: A can do a piece of work in 3 hours; B and C together can do it in 2 hours, which A and C together can do it in 2 hours. How long will B alone take to do it?
Options:
(A) 6hours
(B) 3hours
(C) 2hours
(D) 5hours
(E) 4hours
a: Stream of consciousness: A's 1 hour work = 1/3;
(B + C)'s 1 hour work = 1/2;
(A + C)'s 1 hour work = 1/2
(A + B + C)'s 1 hour work = (1/3 + 1/2) = 5/6
B's 1 hour work = (5/6 - 1/2) = 1/3
B alone will take 3 hours to do the work. The answer is (B).

question: A farmer has a rose garden. Every day he either plucks 7 or 6 or 24 or 23 roses. The rose plants are intelligent and when the farmer plucks these numbers of roses, the next day 37 or 36 or 9 or 18 new roses bloom in the garden respectively. On Monday, he counts 189 roses in the garden. He plucks the roses as per his plan on consecutive days and the new roses bloom as per intelligence of the plants mentioned above. After some days which of the following can be the number of roses in the garden?
Options:
(A) 6
(B) 7
(C) 6
(D) 4
(E) 1
answer: Stream of consciousness: If he plucks 23, then only 18 grows the next day. This means total roses get decreases by 5. So after n days assume the number of roses got decreased 185 where n = 37, then 4 roses left. The answer is (D).

q: Which one of the following is not a prime number?
Options:
(A) 2
(B) 3
(C) 5
(D) 9
(E) 7
a: Stream of consciousness: 9 is divisible by 3. So, it is not a prime number. The answer is (D).

question: What is the least number should be added to 1056, so the sum of the number is completely divisible by 27?
Options:
(A) 21
(B) 22
(C) 23
(D) 24
(E) 25
answer: Stream of consciousness: (1056 / 27) gives remainder 3
24 + 3 = 27, So we need to add 24 The answer is (D).

question: Two persons A and B can complete a piece of work in 15 days and 30 days respectively. If they work together, what part of the work will be completed in 5 days?
Options:
(A) 1/8
(B) 1/3
(C) 1/6
(D) 1/2
(E) 5/3
answer:
Stream of consciousness: A's one day's work = 1/15
B's one day's work = 1/30
(A + B)'s one day's work = 1/15 + 1/30 = 1/10
The part of the work completed in 5 days = 5 (1/10) = 1/2. The answer is (D).