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ExamsJEE MainMaths

What remainder is obtained when 7⁹ + 9⁷ is divided by 64?

  1. 0
  2. 1
  3. 2
  4. 63

Correct answer: 0

Solution

Both 7⁹ and 9⁷ can be calculated modulo 64, and their individual results yield a sum that is divisible by 64, resulting in a remainder of 0.

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