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Railways PYQCBT 1 2016

RRB NTPC · Question 19

Find the total prime factors in the product of { (8)^10 × (9)^7 × 7^8 }. A. 45 B. 54 C. 52 D. 65

  1. B

  2. A

  3. D

  4. C

Show answer & explanation

Answer: (D) C

Explanation

8¹⁰ = 2³⁰, 9⁷ = 3¹⁴ and 7⁸ = 7⁸. The total number of prime factors is 30 + 14 + 8 = 52.