Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Question:

The HCF and the LCM of two numbers are 5 and 120 respectively. If the sum of the two numbers is 55, then the sum of the reciprocals of these two numbers is equal to?

Options:

\(\frac{55}{601}\)

\(\frac{11}{120}\)

\(\frac{120}{11}\)

\(\frac{601}{55}\)

Correct Answer:

\(\frac{11}{120}\)

Explanation:

\(\frac{1}{a}\) + \(\frac{1}{b}\)

 = \(\frac{a + b}{ab}\) = \(\frac{55}{5 × 120}\) = \(\frac{11}{120}\)