CAT 1998QA Question 31

Number TheoryEasy

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

Answer & solution

Correct answer: 2

  • A

    7

  • B

    1

  • 2

  • D

    0

Solution

The number formed by the last 3 digits of the main number is 354. The remainder is 2 if we divide 354 by 8. So the remainder of the main number is also 2 if we divide it by 8.

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CAT 1998 QA Q31: A number is formed by writing first 54 natural numbers in front of each other as 12345678910111213 ... Find th — Solution | TheCATExam