Question

What is the units digit of \(7^{95}\)?

• A. 7
• B. 9
• C. 1
• D. 3

Hint:

Units digits of powers of 7 repeat in a cycle of length 4.

Answer 1

The Correct Option is D

Split as $7^{95} = 7^{92}\times 7^{3} = (7^{4})^{23}\times 343$. Any power of $7^4$ ends in $1$, and $343$ ends in $3$, so the product ends in $1\times 3 = 3$.