Question: In how many different ways can the letters of the word 'PREPTY' be arranged?
Options:
(A) 230
(B) 240
(C) 260
(D) 280
(E) 360
Answer: Number of ways = 61/21 6X5X4X3X2X1 - 360
The answer is (E).

Question: Find the largest 4 digit number which isexactly divisible by 88?
Options:
(A) 8765
(B) 8907
(C) 9944
(D) 9954
(E) 9990
Answer: Largest 4 digit number is 9999
After doing 9999 88 we get remainder 55
Hence largest 4 digit number exactly divisible by 88 = 9999 - 55 = 9944
The answer is (C).

Question: The balance of a trader weighs 10% less than it should. Still the trader marks up his goods to get an overall profit of 20%. What is the mark up on the cost price?
Options:
(A) 40%
(B) 8%
(C) 25%
(D) 16.66%
(E) 9%
Answer: Original cost before weight adjustment: X
Cost after 90% weight adjustment: 9/10 X
20% profit on 9/10X: (120/100)(9/10)(X) or 108X/100
Mark up on original cost of X: (108X/100)/X-1 = 8/100
The answer is (B).

Question: What is the sum of all the prime numbers greater than 50 but less than 70?
Options:
(A) 249
(B) 248
(C) 246
(D) 240
(E) 241
Answer:
Required sum = (53 + 59 + 61 + 67 ) = 240
Note: 1 is not a prime number
The answer is (D).