question: Count the numbers between 10 - 99 which yield a remainder of 3 when divided by 9 and also yield a remainder of 2 when divided by 5?
Options:
(A) Two
(B) Five
(C) Six
(D) Four
(E) One
answer: Stream of consciousness: Answer = A) Two
Numbers between 10 - 99 giving remainder 3 when divided by 9 = 12, 21, 30, 39, 48, 57, 66, 75, 84, 93
The Numbers giving remainder 2 when divided by 5 = 12, 57 = 2 The answer is (A).

q: 8 teams.each teams play twice with other teams.win =2poins. lose =0 points. no draw/match abandonment.top four go semis.if same points runrate considered. whats the minimum num of points with which a team may go to semis
Options:
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
a: Stream of consciousness: Minumum points for (may condition): 4 The answer is (C).

question: What is the probability that Company Q'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: Q 1/15 + (14/15) * 1/14 = 2/15 The answer is (D).

q: Anmol can eat 27 pastries in a hour.
Aakriti can eat 2 pastries in 10 minutes.
Divya can eat 7 pastries in 20 minutes.
How long will it take them to eat a 240 pastries ?
Options:
(A) 2 hours.
(B) 1 hours.
(C) 5 hours.
(D) 4 hours.
(E) 3 hours.
a: Stream of consciousness: In one hour, Anmol eats 27 pastries, Aakriti eats 12, and Divya eats 21. A total of 60 pastries. Therefore 240 pastries would take 240 60 = 4 hours. The answer is (D).

question: The no. of girls in a class are seven times the no. of boys, which value can neverbe the of total students?
Options:
(A) 4
(B) 5
(C) 8
(D) 10
(E) 12
answer: Stream of consciousness: Let the boys are X, then girls are 7X, total = X+7X = 8X
So it should be multiple of 8, 30 is not a multiple of 8. The answer is (C).

question: What will be the remainder when 17^200 is divided by 18
Options:
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
answer:
Stream of consciousness: 17^200 % 18
(17-18)^200 % 18
(-1)^200 % 18
1 % 18 = 1 The answer is (A).