question: If, when the two parties of knights encounter one another after a month, exactly one knight changes from one travelling party to the other travelling party, that knight must be
Options:
(A) P
(B) Q
(C) R
(D) S
(E) T
answer: Stream of consciousness: Q because Q always have to travel in northern route The answer is (B).

q: P and Q invested in a shop. The profits were divided in the ratio of 4 : 6 respectively. If P invested Rs. 55,000, the amount invested by Q is:
Options:
(A) 48000
(B) 40000
(C) 35000
(D) 60000
(E) None
a: Stream of consciousness: Suppose Q invested Rs. y. Then, 50000/y = 4/6 or y = [50000 x 6/ 4] = 75000. The answer is (E).

question: In how many different number of ways 7 men and 3 women can sit on a shopa which can accommodate persons?
Options:
(A) 200
(B) 230
(C) 240
(D) 250
(E) 5040
answer: Stream of consciousness: 10p4 = 10 X 9 X 8 X 7 = 5040 The answer is (E).

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 420 pastries ?
Options:
(A) 2 hours.
(B) 1 hours.
(C) 5 hours.
(D) 4 hours.
(E) 7 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 420 pastries would take 420 60 = 7 hours. The answer is (E).

question: There are 5 chess amateurs playing in Villa's chess club tournament. If each chess amateur plays with exactly 16 other amateurs, what is the total number of chess games possible to be played in the tournament?
Options:
(A) 10
(B) 20
(C) 40
(D) 60
(E) 120
answer: Stream of consciousness: Each person is one participant of 4 games. So there are in all 16*5 = 80 instances of one participant games. But each game has 2 participants so total number of games = 80/2 = 40 The answer is (C).

question: In a bucket there are 3 blue balls and 2 red balls. What is the probability of drawing at least one blue ball when drawing two consecutive balls randomly?
Options:
(A) 9/10
(B) 16/20
(C) 2/5
(D) 3/5
(E)
answer:
Stream of consciousness: P(at least one blue) = 1 - P(no blue, so 2 red) = 1- 2/5*1/4 = 9/10. The answer is (A).