question: John has 10pairs of dark blue socks and 10pairs of black socks. He keeps them all in the same bag. If he picks out 3socks at random, then what is the probability thathe will get a matching pair?
Options:
(A) 1
(B) 3
(C) 5
(D) 6
(E) 9
answer: Stream of consciousness: If he draws any combination of 3 socks he will definitely have the matching pair of either colour. The answer is (A).

q: A person spends 40% of his salary on food, 25% on house rent, 15% on entertainment and 5% on conveyance. If his savings at the end of the month is Rs. 1500, then his salary per month in rupees is:
Options:
(A) 4000
(B) 6000
(C) 8000
(D) 10000
(E) None of these
a: Stream of consciousness: Total expenditure = 40 + 25 + 15 + 5 = 85%
Saving = (100 - 85) = 15%
15/100 Salary = 1500, Salary = 10000 Rs. The answer is (D).

question: 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 300 pastries ?
Options:
(A) 2 hours.
(B) 1 hours.
(C) 5 hours.
(D) 4 hours.
(E) 3 hours.
answer: Stream of consciousness: In one hour, Anmol eats 27 pastries, Aakriti eats 12, and Divya eats 21. A total of 60 pastries. Therefore 300 pastries would take 300 60 = 5 hours. The answer is (C).

q: If P(A) = 8/15, P(B) = 4/15, and P(A B) = 16/15 Find P(B|A)
Options:
(A) 1/2
(B) 2/3
(C) 3/2
(D) 2
(E) 4/7
a: Stream of consciousness: P(B|A) = P(A B)/P(A)
P(B|A) = (16/15)/(8/15) = 2. The answer is (D).

question: X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work?
Options:
(A) 3
(B) 5
(C) 6
(D) 8
(E) 9
answer: Stream of consciousness: Work done by X in 1 day = 1/18
Work done by Y in 1 day = 1/15
Work done by Y in 10 days = 10/15 = 2/3
Remaining work = 1 2/3 = 1/3
Number of days in which X can finish the remaining work = (1/3) / (1/18) = 6 The answer is (C).

question: Calculate the circumference of a circular field whose radius is 10 centimeters.
Options:
(A) 20 cm
(B) 19 cm
(C) 28 cm
(D) 25 cm
(E) 30 cm
answer:
Stream of consciousness: Circumference C is given by
C = 2r = 2*10 = 20 cm The answer is (A).