Q. What is the reminder when $5^{587}$ is divided by 126

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100

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101

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125

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Solution

The correct option is C 101
$5^{3} m o d 126 = 125 = - 1 5^{587} = (5^{3})^{195} \times 5^{2} Remainder = - 1^{195} \times 25 = - 25 = 126 - 25 = 101$

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