Question

If a number is divisible by 9, then it is also divisible by .

• A. 3
• B. 6
• C. 12
• D. 8

Answer 1

The correct option is A 3

Let the number A be divisible by 9.
So, the remainder when A is divided by 9 is 0.
$Dividend=(divisor\times quotient)+remainder$
So, $A=9\times B+0=9\times B$
$A=9\times B=3\times 3\times B=3\times 3B$
So, A is also divisible by 3 because 3 is factor of 9.
Note that if A is divisible by 3 it need not be divisible by 9. For example 12 is divisible by 3 but not by 9.