The number of integers of the form 3AB4, where A, B denote some digits, which are divisible by 11 is

We are given that AB is divisible by 11.

Now, AB can be divisible by 11, if and only if, A = B.

A and B can take numbers from 0 to 9. (It won’t take negative integers)

The number AB can be,

0, 11, 22, 33, 44, 55, 66, 77, 88, 99

⇒ There are 9 such combination of numbers which when put in AB will make it divisible by 11.