# Find out the Remainder

When 10 ²º is divided by 1001, the remainder is –

- 999
- 0
- 100
- None of these

**Answer: (4) None of these**

**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.**

10^{20} = [(10^{2})]^{10}

= 100^{10
}

(100^{10} – 1^{10}) is completely divide by (100 + 1 = 1001)

Then, the remainder is 1.

Hence, the answer is (4) None of these.

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