Quantitative Aptitude Ques 1439

Question: For any two numbers $ m,n;(m+n):(m-n): $ $ mn=7:1:60. $ Find the value of

Options:

A) 4 : 3

B) 8 : 6

C) 3 : 4

D) 7 : 8

Show Answer

Answer:

Correct Answer: C

Solution:

  • $ \frac{m+n}{m-n}=\frac{7x}{x} $

$ \Rightarrow $ $ \frac{m}{n}=\frac{4x}{3x} $ [by componendo and dividendo] Now, $ mn=4x\times 3x=12x^{2} $ But $ mn=60x $

$ \Rightarrow $ $ 60x=12x^{2} $
$ \Rightarrow $ $ x=5 $

$ \therefore $ $ \frac{1}{m}:\frac{1}{n}=\frac{1}{20}:\frac{1}{15}=3:4 $