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.