Question

Replace * by a digit to make 867*6 divisible by 11


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Answer 1

answer

A number is divisible by 11 if the sum of the digits in the odd places and the sum of the digits in the even places difference is a multiple of 11 or zero.

8 _6 7 _* 6

sum of odd digits = 8+7+6   =   21

sum of even = 6+* (let the * be 4) = 6+4 = 10

sum of even - sum of odd digits

10-21

= -11

which is divisble by 11

so in the place of * we can put 4 by which the number would be divisble by 11