Question

Is it possible to have the adjacent multiplication table? Give reasons.

Answer 1

Now, suppose.

Then, 11A × 11B = 111 × C

Now, 111 × C is divisible by 111.

⇒ 11A × 11B is divisible by 111.

⇒ 121 × A × B is divisible by 111.

⇒ A × B is divisible by 111. [Since 121 is not divisible by 111]

This is not possible as A and B are digits.

Hence, the given multiplication table is not possible.