Question 84

In the following question, state whether the given statement is true (T) or false (F).
If the sum of the digits of a number is divisible by 3, then the number itself is divisible by 9.

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Solution

According to the divisibility test of 9, a number is divisible by 9, if the sum of the digits of the number is divisible by 9.

Also, we can verify with an example.
Let the number be 12. Sum of its digits = 1+2 = 3. So, sum of digits is 3, which is divisible by 3. But, 12 is not divisible by 9.

Hence, the given statement is false.

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Question 84 In the following question, state whether the given statement is true (T) or false (F). If the sum of the digits of a number is divisible by 3, then the number itself is divisible by 9.

Question 84

In the following question, state whether the given statement is true (T) or false (F).
If the sum of the digits of a number is divisible by 3, then the number itself is divisible by 9.