Multiple choice

A 107 digit number is formed by writing first 58 natural numbers next to each other. Find the remainder when number is divided by 8.

  1. 6

  2. 10

  3. 4

  4. 9

  5. None of these
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A Correct answer
Explanation

The number is 1234567891011...58. To find the remainder when divided by 8, we only need the last three digits. The sequence ends in ...5758. The last three digits are 758. 758 / 8 = 94 with a remainder of 6.

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