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Railways PYQCBT 2 2017

RRB NTPC · Question 99

Find the least square number which is exactly divisible by 4, 9 and 14.

  1. 1008

  2. 252

  3. 1764

  4. 504

Show answer & explanation

Answer: (C) 1764

Explanation

LCM(4, 9, 14) = 252 = 2² × 3² × 7. To be a perfect square, every prime power must be even, so multiply by 7: 252 × 7 = 1764 = 42².