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Question

What least number should be replaced by * so that the number 37610*2 is exactly divisible by 9 ?
(a) 8
(b) 7
(c) 6
(d) 5

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Solution

A number is divisible by 9 if the sum of its digits is divisible by 9.
The sum of digits in 37610*2 is 3 + 7+ 6 + 1 + 0 + 2 = 19
For divisble by 9 we have to add 8 in 19 i.e., 8 + 19 = 27, which is divisible by 9.
Hence, the correct answer is option (a).

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