SSC MTS 2022 PYQ — Question 58

The correct answer is option 2 i.e. 8

A = 2^K × 3⁵ Eq.(i)

B = 2⁵ × 3⁷ Eq.(ii)

If the least common multiple of A and B is 2⁸ × 3⁷ Eq.(iii)

From Eq.(i), Eq. (ii) and Eq. (iii), we can say that LCM(least common multiple) in terms of the power of 3 is 7. Similarly, we can say that LCM(least common multiple) in terms of the power of 2 is 8 by comparing them.

So the value of K = 8