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The remainder when \((29^{29})^{29}\) is divided by \(9\) is

Question and options

The remainder when (2929)29(29^{29})^{29} is divided by 99 is
  1. 1
  2. 2
  3. 3
  4. 4

Answer and explanation

Correct answer: B - 2
29 = 2 mod 9 and exponent is 29*29 = 841. 2^6 = 1 mod 9 and 841 = 1 mod 6, so remainder = 2^1 = 2.

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  • IPMAT Indore

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