Question

Find the missing digit in 872___18, given that the number is divisible by 11.

Answer 1

7 is the correct answer.

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Answer 2

Answer:

7

Step-by-step explanation:

Divisibility by 11:

Take the alternating sum of the digits in the number, read from left to right. If that is divisible by 11, so is the original number.

Let the missing digit be x

Applying the above rule here,

(8+2+1)-(7+x+8)=11-(15+x)= -4-x

so, nearest multiple to -4 of 11 is -11

so, -4-x=-11

=> -x = -7

=>x=7

HOPE IT HELPS,

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