Divisibility Rule of 9
Divisibility Rule of 9
Divisibility Rule of 9:
A number is divisible by 9, if the sum of its digits is divisible by 9.
Justification:
Let us first consider case of a two digit number:
be a two digit number. Then, n can be written as
n = 10a + b, where b is units digit of n.
n = 9a + a + b
n = a multiple of 9 + ( a + b )
n is a multiple of 9, if ( a + b ) is a multiple of 9
Thus, a two digit number is divisible by 9, if the sum of its digits is divisible by 9.
Which of the following numbers are divisible by 9? 9873, 8910, 5432, 5678, 1234, 678, 898 | |||
| Right Option : A | |||
| View Explanation | |||
Which of the following number is not divisible by 9 ? 5463,5949,9840,6507 | |||
| Right Option : C | |||
| View Explanation | |||
Which number is divisible by 6 and 9? | |||
| Right Option : D | |||
| View Explanation |
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