What is the unit digit in $7^{105} =$ ?

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Solution

The correct option is D $7$
Unit digit in $7^{105} =$ unit digit in $[{(7^{4})}^{26} \times 7]$
But, unit digit in ${(7^{4})}^{26} = 1$
$∴$ Unit digit in $7^{105} = (1 \times 7) = 7$

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