IPM Question Paper 2019 | IPM Rohtak Quantitative Aptitude

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Question 29 : One-fifth of a number is equal to \\frac{5}{8}\\)^th of another number. If 35 is added to the first number, it becomes four times of the second number. Find the second number.

1. 39
2. 70
3. 40
4. 25

Explanatory Answer

Let the first number be F, and the second number be S.

One-fifth of the first number is equal to 5/8th of second number
\\frac{1}{5}\\) F = \\frac{5}{8}\\) S

S = \\frac{8}{25}\\) F.

If 35 is added to the first number, it becomes four times of the second number.

F + 35 = 4 S
S = \\frac{8}{25}\\) F.
F + 35 = 4 S.

S = \\frac{8}{25}\\) (4S - 35)

25 S = 32 S – 8 * 35
7 S = 280

S = 40

The second number is 40.

The question is "One-fifth of a number is equal to \\frac{5}{8}\\)^th of another number. If 35 is added to the first number, it becomes four times of the second number. Find the second number."

Hence, the answer is 40

Choice C is the correct answer

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