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Question

Replace * by a digit to make the number exactly divisible by 9

*8768


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Solution

A number is divisible by 9 if the sum of its digits is divisible by 9.

*8768=*+8+7+6+8=*+29

Observe that when *=7, then the sum of its digits is divisible by 9

29+7=36

Hence, the * will replace by 7.


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