Rationale: Original perimeter = x
Hence original side = x/4
New side = 5x/4
New perimeter = 4*5x/4 = 5x
The answer: (C)
Question: The measure of the side of a square is multiplied by 5. If x represents the perimeter of the original square, what is the value of the new perimeter?
Options:
(A) 3x
(B) 4x
(C) 5x
(D) 12x
(E) 27x
Reasoning: Speed upstream = 16/4 = 4 kmph
Speed down stream = 24/4 = 6 kmph
Speed of stream = (6-4) = 1 kmph
Ans: (A)
Question: If athul rows 16 km upstream and 24 km down steam taking 4 hours each, then the speed of the stream
Options:
(A) 1kmph
(B) 2 kmph
(C) 1.5 kmph
(D) 12 kmph
(E) 15 kmph
Rationale: The total distance D traveled by John is given by
D = 35 * 2 + 3 * 55 = 235 miles.
The answer: (A)
Question: John left home and drove at the rate of 35 mph for 2 hours. He stopped for lunch then drove for another 3 hours at the rate of 55 mph to reach his destination. How many miles did John drive?
Options:
(A) 235 miles.
(B) 245 miles.
(C) 255 miles.
(D) 265 miles.
(E) 275 miles.
Reasoning: Here, l = 7 and m = 14
Therefore, first number = l/m x 100% of second number = 7/14 x 100% of second number = 50% of second number
Ans: (D)
Question: If the given two numbers are respectively 7% and 14% of a third number, then what percentage is the first of the second ?
Options:
(A) 20%
(B) 25%
(C) 18%
(D) 50%
(E) none of these
Rationale: Clearly, 89 is a prime number.
The answer: (D)
Question: Find a a prime number from the options below.
Options:
(A) 86
(B) 87
(C) 88
(D) 89
(E) 90
Rationale: 5C4 * 4C2 * 3C2 = 5*6*3 = 90.
The answer: (C)
Question: An analyst will recommend a combination of 4 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 8 stocks are possible?
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Options:
(A) 12
(B) 19
(C) 90
(D) 180
(E) 720