# What will be the Remainder? If

If 17^{200 } is divided by 18, the remainder is :

- 17
- 16
- 1
- 2

**Answer: (3) 1**

**Explanation:-**

**Formula-**

**If n is even number, **

**Then, (X^n – a^n ) is completely divide by (X + a)**

**Where, X is a base & n is the power of the number.**

Then,

( 17^{200} – 1^{200) } is completely divide by (17 + 1 = 18)

Then, the remainder is 1.

Hence, the answer is (3) 1.