Question 37

In the given question, state whether the given statement is True or False.

A three-digit number abc is divisible by 6, if c is an even number and a + b + c is a multiple of 3.

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Solution

True.
If a number is divisible by 6, then it is divisible by both 2 and 3. Since, abc is divisible by 6, it is also divisible by 2 and 3. Therefore, c is an even number and the sum of digits is divisible by 3, i.e. multiple of 3.

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Divisibility Tests for 6

Standard VI Mathematics

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Question 37 In the given question, state whether the given statement is True or False. A three-digit number abc is divisible by 6, if c is an even number and a + b + c is a multiple of 3.

True. If a number is divisible by 6, then it is divisible by both 2 and 3. Since, abc is divisible by 6, it is also divisible by 2 and 3. Therefore, c is an even number and the sum of digits is divisible by 3, i.e. multiple of 3.

Question 37

In the given question, state whether the given statement is True or False.

A three-digit number abc is divisible by 6, if c is an even number and a + b + c is a multiple of 3.

True.
If a number is divisible by 6, then it is divisible by both 2 and 3. Since, abc is divisible by 6, it is also divisible by 2 and 3. Therefore, c is an even number and the sum of digits is divisible by 3, i.e. multiple of 3.