Which is unit digit of $6^{18} - 5^{10}$ ?

$5$
$8$
$1$
$9$

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Solution

The correct option is C
$1$

Solution:
Finding the unit digit:
As we know that unit digit of the number $6^{n} and 5^{n}$ is always 6 and 5 respectively for any values of the natural number $n$ .
Thus,
Unit digit of $6^{18} = 6$ ,
Unit digit of $5^{10} = 5$
Therefore,
Unit digit of $6^{18} - 5^{10} = 6 - 5 = 1$
Final answer: Hence, option (C) is correct.

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