Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Question:

LCM of N1 and N2 is 100, then find the possible pairs of N1 and N2?

Options:

26

10

18

13

Correct Answer:

13

Explanation:

LCM = 100

Prime factorization of 100 = 22 × 52

                                   N = ax × by

              Number of pairs = \(\frac{(2x \;+\; 1) (2y\; +\; 1) \;+\; 1}{2}\)

                                      = \(\frac{(2 × 2 + 1) (2 × 2 + 1) + 1}{2}\) = \(\frac{26}{2}\) = 13