Question

How many four digit number in the form of AABA is divisible by 11?
1. 6
2. 7
3. 8
4. 9

Answer 1

Correct Answer - Option 4 : 9

Concept

A number is divisible by 11, if the difference of sum of its even and odd place digits is zero or divisible by 11.

Explanation

Sum of even digits = A + A = 2A

Sum of odd digits = A + B

⇒ 2A – (A + B) = 0

⇒ A – B = 0

⇒ A = B

So, the possible digits are 1, 2, 3, 4, 5, 6, 7, 8 and 9

As, A = B

So, the number could be 1111, 2222, 3333, 4444, 5555, 6666, 7777, 8888 and 9999.