Divisibility Rule of 8

CAT 1998 Slot 1 · QA · Easy · Number System

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A number is formed by writing first 54 natural numbers in front of each other as 12345678910111213…535412345678910111213\dots5354. Find the remainder when this number is divided by 8.

  1. A.

    1

  2. B.

    7

  3. C.

    2

  4. D.

    0

Answer

C

Explanation

A number is divisible by 8 if its last three digits form a number divisible by 8. The last three digits of this sequence are 354354. 354÷8=44354 \div 8 = 44 with a remainder of 2.

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