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 is not divisble by 9 ? | |||
| Right Option : C | |||
| View Explanation |
A 6 digit number begins with the digit 8. The number is divisible by 9. All the digits of the number are different. What is the smallest possible value of this number? | |||
| Right Option : B | |||
| View Explanation |
Consider the following statements and choose the correst option (s) for them. I. A number divisible by 3 is also divisible by 9. II. A number divisible by 3 and by 9, if the sum of all its digits can be divided by 3 and by 9, respectively. | |||
| Right Option : B | |||
| View Explanation |
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