Reasoning: D = 540 + 180 = 720
S = 54 * 5/18 = 15 mps
T = 720/15 = 48 se
Ans: (C)
Question: A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?
Options:
(A) 18 sec
(B) 28 sec
(C) 48 sec
(D) 29 sec
(E) 24 sec
Rationale: Here both numbers are less than 100. So they are deficient of - 4 and - 2 compared with 100. So
The answer: (A)
Question: Find 96 98
Options:
(A) 92/8
(B) 92/12
(C) 92/13
(D) 92/10
(E) 92/11
Reasoning: Total # of codes possible is 3*3*3 = 27. Oit of those 27 codes only the product of 333 and will be odd, the remaining 26 will have either 2 or 4 in them, which ensures that their product will be even. Therefore the number of codes where the product of the digits is even = (total) - (restriction) = 27 - 1 = 26.
Ans: (C)
Question: A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 6, 4 and 3, which can be repeated. If the product of the digits in the area code must be even, how many different codes can be created?
Options:
(A) 20
(B) 22
(C) 26
(D) 24
(E) 30
Rationale: Final number = Initial number + 20%(original number) = 2500 + 10%(2500) = 2500 + 250 = 2750.
The answer: (D)
Question: John has $2500 in his bank account that earns 10% interest every year. How much will be in John's bank account after one year?
Options:
(A) $2600
(B) $3000
(C) $2250
(D) $2750
(E) $3500
Reasoning: Let number of boys = x
Let number of girls = y
Therefore x/y = B and y/x = G
5(B + G) = 5[(x/y) + (y/x)] = 5[(x2 + y2)/xy] > 5
Ans: (A)
Question: If the ratio of boys to girls in a class is B and the ratio of girls to boys is G; then 5 (B + G) is ?
Options:
(A) Equal to 3
(B) Less than 5
(C) More than 5
(D) Less than 1/5
(E) none of these
Reasoning: Answer = C
Please refer diagram below
95 - 10 = 85
Ans: (C)
Question: 95 white and black tiles will be used to form a 10x10 square pattern. If there must be at least one black tile in every row and at least one white tile in every column, what is the maximum difference between the number of black and white tiles that can be used?
Options:
(A) 75
(B) 80
(C) 85
(D) 90
(E) 95