SSC CGL 2020 PYQ — Question 32

SSC CGL Tier II - Quant - 18 Nov 2020 • Quantitative Aptitude • Q32

Find the number of prime factors in the product (30)5 × (24)5.

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 35

(30)5 × (24)5 = 55 × 65 × 65 × 45 = 55 × 210 × 310 × 210

= 55 × 220 × 310 

Number of prime factors = 5 + 20 + 10 = 35.