Quantitative Aptitude Ques 1058

Question: HCF and LCM of x and y are 3 and 105, respectively. If $ x+y=36, $ value of $ \frac{1}{x}+\frac{1}{y} $ will be

Options:

A) 4/35

B) 6/35

C) 5/36

D) 7/36

Show Answer

Answer:

Correct Answer: A

Solution:

  • [a] Given $ x+y=36 $ … (i) And HCF and LCM of x and $ y=3 $ and 105 i.e. $ xy=3\times 105 $ … (ii) Now, $ \frac{1}{x}+\frac{1}{y}=\frac{y+x}{xy}=\frac{36}{3\times 105}=\frac{4}{35} $ [from Eqs. (i) and (ii)]
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