Number System · Question 24 · Medium

A number leaves a remainder of 4 when divided by 7. What remainder will the square of the number leave when divided by 7?

  1. 4
  2. 2
  3. 1
  4. 16
Answer and explanation

Answer: B. 2

Explanation: If n = 7k + 4, then n² leaves the same remainder as 4² = 16. Since 16 = 7 × 2 + 2, the remainder is 2.

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