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Quantitative Aptitude

Ratio & Proportion

Q. The sum of...

Question

Q. The sum of three numbers is 98. If the ratio of the first to the second is 2:3 and that of the second to the third is 5:8, then the second number is:

A

20

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B

30

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C

48

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D

58

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Solution

The correct option is B 30
$a : b = 2 : 3 b : c = 5 : 8 a : b b : c - -- - = 2 : 3 \frac{5 : 8}{10 : 15 : 24} a + b + c = 98 10 x + 15 x + 24 x = 98 49 x = 98 x = 2 B = 2 \times 15 = 30$

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