Question

The HCF of the smallest prime number and the smallest 3-digit number is 2^m 5ⁿ. The respective values of m and n are:

Options

• 0, 0

• 1, 0

• 0, 1

• 1, 1

Answer 1

1, 0

Explanation:

Given:

Smallest prime number = 2

Smallest 3-digit number = 100

Finding HCF:

2 = 2¹

100 = 2² × 5²

HCF(2, 100) = 2¹

Comparing with 2^m 5ⁿ:

2¹ × 5⁰ = 2^m 5ⁿ

m = 1, n = 0