HCF & LCM · Question 23 · Medium

What is the least number which leaves a remainder of 4 when divided by 6, 9, 15 or 18, and is exactly divisible by 7?

  1. 94
  2. 184
  3. 364
  4. 454
Answer and explanation

Answer: C. 364

Explanation: The number has the form 90k + 4 (LCM = 90). Trying k = 1, 2, 3, 4 gives 94, 184, 274, 364, and 364 = 7 × 52 is the first divisible by 7.

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