q: 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
a: OK... A = 2000(21/20)2 = 2205
The answer is (A).

q: Two trains are moving at 45kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Options:
(A) 40/6 sec
(B) 43/6 sec
(C) 47/6 sec
(D) 40/3 sec
(E) 40/7 sec
a: OK... 70 + 45 = 115 * 5/18 = 575/18 mps
D = 150 + 100 = 250 m
T = 250 * 18/575 = 15/2 = 47/6 se
The answer is (C).

q: How many factors does 49^2 have?
Options:
(A) 2
(B) 8
(C) 24
(D) 25
(E) 36
a:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
OK... 36^2 = 6*6*6*6 = 2^4*3^4
Total factors = (4+1)*(4+1) = 6*6 = 36
The answer is (E).