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Mathematics

The digit by which * should be replaced in 54 * 281 so that the number formed is divisible by 9 is

  1. 6

  2. 7

  3. 8

  4. 9

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Answer

For divisibility by 9, the sum of digits must be divisible by 9.

Sum of given digits (except *) = 5 + 4 + 2 + 8 + 1 = 20.

We need 20 + * to be divisible by 9.

20 + 7 = 27, which is divisible by 9.

So, * = 7.

Hence, option 2 is the correct option.

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