Rationale: Number of ways = 61/21 6X5X4X3X2X1 - 360
The answer: (E)
Question: In how many different ways can the letters of the word 'PREPTY' be arranged?
Options:
(A) 160
(B) 190
(C) 210
(D) 368
(E) 360
Reasoning: (6n^2 + 6n) = 6n(n + 1), which is divisible by both 6 and 12, since n(n+1) is always even.
Ans: (B)
Question: If n is a natural number, then (6n^2 + 6n) is always divisible by
Options:
(A) 6 only
(B) 6 and 12 both
(C) 12 only
(D) 18 only
(E) 12 and 18 both
Rationale: Place D and H first: 8 options for D, 7 options for H
We are left with 6 empty places. A, B and C must take first 3 places and F, G, Emust take the remaining three. A, B and C can be arranged in their places in 3! ways. The same for F, G, and E
Total = 8*7*3!*3! = 2*1008
The answer: (D)
Question: In how many different orders can the people Alice, Benjamin, Charlene, David, Elaine, Frederick, Gale, and Harold be standing on line if each of Alice, Benjamin, Charlene must be on the line before each of Frederick, Gale, and Elaine?
Options:
(A) 1,008
(B) 1,296
(C) 1,512
(D) 2*1008
(E) 2,268
Reasoning: 1/3: 1/5: 1/1 = 5:3:15
Ans: (B)
Question: The inverse ratio of 3: 5: 1 is?
Options:
(A) 2:3:7
(B) 5:3:15
(C) 2:3:2
(D) 2:3:6
(E) 2:3:1
Rationale: A = 8000(21/20)3 = 9261
The answer: (B)
Question: Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?
Options:
(A) 9268
(B) 9261
(C) 9262
(D) 9242
(E) 9266
Rationale: 40000(11/10)4 - 40000(6/5)2 = 964
The answer: (C)
Question: How much more would Rs.40000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
Options:
(A) 482
(B) 725
(C) 964
(D) 837
(E) 923