A money lender lends Rs.2000 for six months at 20% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit.
Options:
(A) 2205
(B) 3387
(C) 2882
(D) 2997
(E) 1278
Answer and stream of consciousness: (A)
Stream of consciousness: A = 2000(21/20)2 = 2205

A and B can do a work in 12 days, B and C in 30 days and C and A in 36 days. In how many days will the work be completed, if all three of them work together?
Options:
(A) 180/18
(B) 180/15
(C) 180/13
(D) 180/12
(E) 180/11
Answer and stream of consciousness: (C)
Stream of consciousness: One day work of A and B = 1/12
One day work of B and C = 1/30
One day work of C and A = 1/36
2(A + B + C) = 1/12 + 1/30 + 1/36
2(A + B + C) = 13/90
(A + B + C) = 13/180
Number of days required = 180/13 days.

The H.C.F of two numbers is 11 and their L.C.M is 7700. If one of the numbers is 275, then the other is:
Options:
(A) 279
(B) 283
(C) 308
(D) 318
(E) 328
Answer and stream of consciousness: (C)
Stream of consciousness: Other number = (11 * 7700)/275 = 308.

An entrepreneurship competition requires registering teams to have 3 team members, at least one of which must be a technology co-founder. If all team members must come from the auditorium during the meet and greet event which has 4 technologists and 6 businessmen, how many possible team submissions are possible?
Options:
(A) 76
(B) 100
(C) 162
(D) 198
(E) 202
Answer and stream of consciousness:
(B)
Stream of consciousness: We have 3 scenarios here:
1) 1 tech2 businessmen: 4C1 x 6C2 = 60
2) 2 tech1 businessman: 4C2 x 6C1 = 36
3) 3 tech0 businessmen: 4C3 = 4
Total: 60+36+4 = 100