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The remainder when 7$^{84}$ is divided by 342 is

  1. 0
  2. 1
  3. 49
  4. 341
in Quantitative Aptitude
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1 Answer

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$7^{84}=(7^{3})^{28}$

$\frac{ (7^{3})^{28} } {342}$ =$\frac{ (343 )^{28} } {342}$

Remainder of $\frac{ 343 } {342} =1$

As $7^{84}$ can be written as $(7^{3})^{28}$

The result will be $1^{28}$ =1

 

Hence Option (B)1 is the Answer.

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