What is the remainder when the number (4444)4444 is divided by 9?

  1. 4
  2. 6
  3. 7
  4. 8

Answer

Such type of questions can be solved by observing a pattern.

Remainder when (4444)1 is divided by 9 = 7

Remainder when (4444)2 is divided by 9 = 4

Remainder when (4444)3 is divided by 9 = 1

Remainder when (4444)4 is divided by 9 = 7

This can be generalized as follows:

Remainder when (4444)k is divided by 9 = x

The repeating pattern is 7-4-1-7-4-1

So, for k = 4444, remainder is 7.

The correct option is C.

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