Number System · Question 10 · Medium

What is the unit digit of 3^65 × 6^59 × 7^71?

  1. 2
  2. 6
  3. 8
  4. 4
Answer and explanation

Answer: D. 4

Explanation: 3^65 ends in 3 (65 = 4k + 1), 6^59 ends in 6, and 7^71 ends in 3 (71 = 4k + 3). 3 × 6 × 3 = 54, so the unit digit is 4.

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