Quantitative Aptitude Ques 1010

Question: 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

Options:

A) 49

B) 48

C) 30

D) 20

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let the numbers be x, y and z. Then, $ \frac{x}{y}=\frac{2}{3} $ and $ \frac{y}{z}=\frac{5}{8} $

$ \therefore $ $ x:y:z=10:15:24 $ Sum of the ratios $ =10+15+24=49 $

$ \therefore $ The second number $ =\frac{15}{49}\times 98=30 $