CSATNumber System & SeriesDivisibility Divisors and Remainder2023

A number N is formed by writing 9 for 99 times. What is the remainder if N is divided by 13?

A

11

B

9

C

7

D

1

Correct Answer: Option A

Explanation

Let's solve this using the '1001' logic we learned from previous years (like 2015 Q57) [1]. 1. **Identify the Pattern**: The number $N$ consists of the digit 9 written 99 times. We are dividing by 13. We know from our

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