CAT 2014 Quant - remainders

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Was looking for an explanatory solution to the questions below. 1.what is the remainder when 114^210 is divided by 252\. What is the remainder when 1532^786 is divided by 253\. Last two digits of 1576^689
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Was looking for an explanatory solution to the questions below.

1.what is the remainder when 114^210 is divided by 25

2. What is the remainder when 1532^786 is divided by 25

3. Last two digits of 1576^689


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