Question

Find the smallest value of x such that number 65x6 will be divisible by 11.​

Answer 1

Answer:

We know the divisibility rule for 11:

If the difference of the sum of its digits at odd places and sum of its digits at even places is either 0 or a number divisible by 11.

71368:

Sum of the odd places =7+3+8=18

Sum of the even places =1+6=7

Difference = Sum of the odd places − Sum of the even places

Difference =18−7=11

So, 71368 is divisible by 11.

Hence, the value of x is 1.