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Question

Alexander has to solve a math problem using the given statement:
On dividing the number 467_4 by 9, the remainder is 0.

Find the missing digit of the dividend.

A
3
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B
6
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C
4
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D
5
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Solution

The correct option is B 6
On dividing 467_4 by 9, the remainder is 0.

So, the number will be completely divisible by 9.

As per the divisibility rule for 9:
If a number is divisible by 9, then the sum of its digits will also be divisible by 9.

Let's assume that the missing digit of the dividend is X.

∴ Sum of its digits = 4 + 6 + 7 + X + 4
= 21 + X

This sum of digits should be divisible by 9.

Adding 6 to 21, we get 27, which is completely divisible by 9.

So, the missing number will be 6.

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