SSC Selection Post 2020 PYQ — Question 52

SSC Selection Post - Graduation Level 2020 - 10 Nov 2020 - Shift 3 • Quantitative Aptitude • Q52

How many distinct natural numbers are the divisors of (30)4?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 125.

304 = 24 × 34 × 54

Number of divisors = (4 + 1)(4 + 1)(4 + 1) = 5 × 5 × 5 = 125