Question

Replace the * in the number 6* 106 by a suitable digit so that the number formed is exactly divisible by 11

Answer 1

The answer is 2 as 62106 is divisible by 11

Answer 2

• We are given the number 6*106 and replace it with a suitable digit.

• We will replace the digit * such that the number is now divisible by 11.

• The divisibility rule of 11 states that :

• If the difference between the sum of the odd-numbered digits and the sum of the even-numbered digits, counted from right to left, is divisible by 11, then the number is divisible by 11.

• Now here the sum of odd placed digits is:

       = 6 + 1 + 6

       = 13

• And the sum of even placed digits is :

       = *

• So, the difference between them is :

       = 13 - *

• And so to be divisible by 11, this number must be equal to 11

       11 = 13 - *

       * = 2

• So, we must replace * with the digit 2.