If a number is divisible by both 11 and 13, then it must be:
- Adivisible by (11×13)
- Bdivisible by 42
- Cdivisible by (11+13)
- Ddivisible by (13−11)
Solution & Step-by-step Explanation
If a number is divisible by two coprime numbers a and b, then it must also be divisible by their product (a×b).
Since 11 and 13 are both prime numbers, their highest common factor (HCF) is 1, which means they are coprime.
Therefore, if a number is divisible by both 11 and 13, it must be divisible by their product, i.e., (11×13).
Since 11 and 13 are both prime numbers, their highest common factor (HCF) is 1, which means they are coprime.
Therefore, if a number is divisible by both 11 and 13, it must be divisible by their product, i.e., (11×13).