Correct Answer - Option 1 : 6

Let;

The number is = xy = 10x + y

according to question;

10 < (10x + y) < 60

After reversing the digits of the number;

New Number = 10y + x

The new number is divisible by 11 and 8.

**|x - y| = 6 ----(1)**

Now the sum of number and New number = (10x + y) + (10y + x)

11(x + y)

The sum is divisible by 11 and 8.

So, x + y is divisible by 8

**or x + y = 8 ----(2)**

From equation (1) and (2)

2x = 14

x = 7 and y = 1

So, the number is 17 (lying between 10 and 60)

If we divide 17 by 11 the remainder is 6.

**Hence, "6" is the correct answer.**