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

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True

False

answer is A.

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Detailed Solution

Given data,
A number is divisible by 9, it must be divisible by 3.
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.
Using the concept of divisibility tests of 9 and 3.
We can also write 9 as,
9 = 3 × 3
As 3 is a factor of 9, therefore, we can say that 9 is divisible by 3.
Hence, option 1 is correct, and the given statement is true.

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