Advertisements
Advertisements
Question
A three-digit number abc is divisible by 6 if c is an even number and a + b + c is a multiple of 3.
Options
True
False
Advertisements
Solution
This statement is True.
Explanation:
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.
APPEARS IN
RELATED QUESTIONS
Without performing actual addition and division write the quotient when the sum of 69 and 96 is divided by
(i) 11
(ii) 15
If \[\overline{{3x2}}\] is a multiple of 11, where x is a digit, what is the value of x?
Given an example of a number which is divisible by 2 but not by 4.
Which of the following statement is true?
If two numbers are co-prime, at least one of them must be a prime number.
If A3 + 8B = 150, then the value of A + B is ______.
If a 3-digit number abc is divisible by 11, then ______ is either 0 or multiple of 11.
If AB + 7C = 102, where B ≠ 0, C ≠ 0, then A + B + C = 14.
If N ÷ 5 leaves remainder 3 and N ÷ 2 leaves remainder 0, then N ÷ 10 leaves remainder 4.
If 56 × 32y is divisible by 18, find the least value of y.
Fill in the blank space in the same way.

