Multiple choice

Directions: Answer the questions independently of each other. Given a number 'N' = 323323323...... upto 1001 digits. What is the remainder when 'N' is divided by 19?

  1. 13

  2. 10

  3. 14

  4. 4
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A Correct answer
Explanation

The number N is a repeating sequence of '323' repeated. 323 divided by 19 is exactly 17 (19 * 17 = 323). Since N consists of 333 blocks of '323' plus two extra digits '32', the remainder is 32 mod 19, which is 13.

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