Reasoning: Option 'A'
The total number of arrangements is
7P7 = 7! = 5040
Ans: (A)
Question: In how many different ways can the letters of the word "BICYCLE" be rearrangement?
Options:
(A) 5040
(B) 5045
(C) 5140
(D) 5010
(E) 5020

Rationale: Work done by all three of them in one day = 1/8 + 1/8 + 1/12 = 1/3
The number of days required = 3 days.
The answer: (A)
Question: A, B and C can do a work in 8 days, 8 days and 12 days respectively. In how many days can all three of them working together, complete the work?
Options:
(A) 3
(B) 2 2/8
(C) 2 2/0
(D) 2 2/2
(E) 2 2/1

Reasoning: 3150*y = A^2
3 * 1050 * y = A^2
3*5*210*y = A^2
3*5*7*3*2*5*y = A^2
2*3^2*5^2*7*y = A^2
Concept: The factors of squared integer should occur in pair. So, the only numbers left are 2*7
Hence 14 ;
Ans: (E)
Question: If y is the smallest positive integer such that 3,150 multiplied by y is the square of an integer, then y must be
Options:
(A) 2
(B) 5
(C) 6
(D) 7
(E) 14

Rationale: S = 250/12 * 18/5 = 75kmph
The answer: (D)
Question: A 250 meter long train crosses a man standing on the platform in 12 sec. What is the speed of the train?
Options:
(A) 228
(B) 108
(C) 1266
(D) 75
(E) 211

Reasoning: (90/100) * 40 – (4/5) * 25
36 - 20 = 16
Ans: (D)
Question: How much is 90% of 40 is greater than 4/5 of 25?
Options:
(A) 29
(B) 776
(C) 66
(D) 16
(E) 99

Reasoning: Assume the price = 100
Price during sale = 85
Price after sale = 100
Percent increase = 15/85*100 = 18% approx.
Ans: (D)

Question: During a sale, the price of a pair of shoes is marked down 15% from the regular price. After the sale ends, the price goes back to the original price. What is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes?
Options:
(A) 9%
(B) 10%
(C) 11%
(D) 18%
(E) 90%