Question

If 7 8 0 5 _ 6 is divisible by 11 then what is the number in​

Answer 1

Answer:

A number is divisible by 11, if the difference of sum of its digits in odd places from the right side and the sum of its digits in even places from the right side is divisible by 11.

(i) 5918

Sum of digits at odd places = 5 + 1 = 6 and,

Sum of digits at even places = 9 + 8 = 17

Their difference = 17 - 6 = 11

Since difference is 11 which is divisible by 11, therefore 5918 is divisible by 11.

(ii) 68,717

Sum of digits at odd places = 6 + 7 + 7 = 20

And sum of digits at even places = 8 + 1 = 9

Difference = 20 - 9 = 11

Since difference is 11 which is divisible by 11, therefore 68,717 is divisible by 11

(iii) 3882

Sum of digits at odd places = 3 + 8 = 11 and,

Sum of digits at even places = 8 + 2 = 10

Difference = 11 - 10 = 1

Since difference is 1 which is not divisible by 11, therefore 3882 is not divisible by 11.

(iv) 10857

Sum of digits at odd places = 1 + 8 + 7 = 16

And, sum of digits at even places = 0 + 5 = 5

Difference = 16 - 5 = 11

Since difference is 11 which is divisible by 11, therefore 10857 is divisible by 11

Answer 2

Answer:

let the number be x

Divisibility of 11's rule

sum of odd place's number - sum of even place's

number = if answer is divisible by 11 then the number also divisible by 11

(6+5+8) - (x +0 +7)

19-(x+7)

19-7-x

12-x

if we subtract 1 from 12 so the answer is 11

and 11 divisible by 11

hence, x = 1

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