q: For all positive integers m and v, the expression m v represents the remainder when m is divided by v. What is the value of (( 90 33 ) 17 ) - ( 99 (33 17)) ?
Options:
(A) 10
(B) 8
(C) 6
(D) 4
(E) 2
a: Stream of consciousness: (( 90 33 ) 17 )
The remainder of 90 divided by 33 is 24;
The remainder of 24 divided by 17 is 7;
( 99 (33 17))
The remainder of 33 divided by 17 is 16;
7 - 3 = 4. The answer is (D).

question: A team of eight entered for a shooting competition. The best marks man scored 82 points. If he had scored 92 points, the average scores for. The team would have been 86. How many points altogether did the team score?
Options:
(A) 662
(B) 678
(C) 652
(D) 642
(E) 721
answer: Stream of consciousness: 8 * 86 = 688 10 = 678 The answer is (B).

q: A and B can do a work in 10 days and 15 days respectively. A starts the work and B joins him after 5 days. In how many days can they complete the remaining work?
Options:
(A) 6 days
(B) 2 days
(C) 8 days
(D) 4 days
(E) 3 days
a: Stream of consciousness: Work done by A in 5 days = 5/10 = 1/2
Remaining work = 1/2
Work done by both A and B in one day = 1/10 + 1/15 = 5/30 = 1/6
Remaining work = 1/2 * 6/1 = 3 days. The answer is (E).

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).

q: How much more would Rs.50000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
Options:
(A) 482
(B) 1205
(C) 992
(D) 837
(E) 923
a: Stream of consciousness: 50000(11/10)4 - 50000(6/5)2 = 1205 The answer is (B).

q: 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
a:
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).