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Railways PYQCBT 1 2016

RRB NTPC · Question 26

What is the smallest number of 5 digits which is exactly divisible by 12, 24, 48, 60 and 96? A. 10000 B. 10024 C. 10160 D. 10080

  1. C

  2. A

  3. D

  4. B

Show answer & explanation

Answer: (C) D

Explanation

The LCM of 12, 24, 48, 60 and 96 is 480 (= 2⁵ × 3 × 5). The smallest 5-digit number is 10,000, and 10000 ÷ 480 ≈ 20.8, so the next multiple is 480 × 21 = 10,080.