If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 6 years the amount to be paid is?
Options:
(A) 3377
(B) 2688
(C) 2688
(D) 9490
(E) 1268
Answer and stream of consciousness: (D)
Stream of consciousness: A = 7500(26/25)^6 = 9490


Which of the following numbers is divisible by 9?
Options:
(A) 23274
(B) 25181
(C) 31001
(D) 50123
(E) 11251
Answer and stream of consciousness: (A)
Stream of consciousness: 23274. This is the only option with last two digits divisible by 9


If 100!/30^n is an integer, which of the following is the greatest possible value of n?
Options:
(A) 28
(B) 24
(C) 20
(D) 15
(E) 10
Answer and stream of consciousness: (B)
Stream of consciousness: 30^n = 2^n * 3^n * 5^n
100! has 97 2's, 48 3's and 24 5's
Since each of 2, 3 and 5 is required to form 30 and there are only 24 5's there can only be 24 30's in 100!


How many positive integers less than 500 can be formed using the numbers 1,2,3,and 5 for digits, each digit being used only once.
Options:
(A) 22
(B) 34
(C) 73
(D) 26
(E) 11
Answer and stream of consciousness:

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
(B)
Stream of consciousness: Single digit numbers = 4
Double digit numbers = 4 x 3 = 12
Three digit numbers = 3 x 3 x 2 x 1 = 18
Total = 34