Is it true that if a number is divisible by 3, then it must be divisible by 9?

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True

False

answer is B.

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Detailed Solution

Given data,
If a number is divisible by 3, then it must be divisible by 9.
The divisibility tests of 3,
A number is completely divisible by 3 if the sum of its digits is divisible by 3.
The divisibility tests of 9,
If the sum of digits of the number is divisible by 9, then the number itself is divisible by 9.
It is not necessary that if a number is divisible by 3 it will also be divisible by 9.
Therefore, our statement is false.
Hence, option 2 is correct.

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