Ques: Sarah's grade was 50th percentile of the 20 grades for her class. Of the 30 grades from another class, 10 were higher than Sarah's, and the rest were lower. If no other grade was the same as Sarah's grade, then Sarah's grade was what percentile of the grades of the two classes of two classes combined?
Options:
(A) 52nd
(B) 56th
(C) 60th
(D) 70th
(E) 82nd
Ans: (C)
CoT: 52nd/56th/60th/70th/82nd

Ques: Find the value of y from (12)^3 x 6^4 432 = y?
Options:
(A) 4567
(B) 4689
(C) 5004
(D) 5678
(E) 5184
Ans: (E)
CoT: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62

Ques: If x, y, and z are positive integers such that x is divisible by y, and y is divisible by z, which of the following is NOT necessarily an integer?
Options:
(A) xy/z
(B) (x + y) /z
(C) xz/y
(D) (x - y) /z
(E) (x + z) /y
Ans: (E)
CoT: As per the question, let x = 12, y = 6, and z = 2. Plugging these into the answer choices, only E does not yield an integer. The reason is that (x + z)/y = x/y + z/y, and while x/y must be an integer, z/y is only an integer if y = z.

Ques: Rs.500 amounts to Rs.620 in 2 years at simple interest. If the interest is increased by 2%, it would amount to how much?
Options:
(A) 120
(B) 25
(C) 614
(D) 530
(E) 210
Ans: (D)
CoT: (500*3*2)/100 = 30
500+ 30 = 530