Correct Answer - Option 2 : 4
Given:
The number 356yx is divisible by 90
Calculation:
For divisibility by 10 the last digit of the number must be 0
Similarly, for divisibility by 9, sum of digits of that number must be divisible by 9
Here, 356yx is divisible by 90 .i.e. 356yx is divisible by 9 and 10
356yx is divisible by 10
So, the value of x = 0
Now, 356y0 is divisible by 9
So, (3 + 5 + 6 + y + 0) = (14 + y) is divisible by 9
So, the smallest number that should be added to 14 that is also divisible by 9 is 4
⇒ y = 4
Now,
(y – x) = (4 – 0)
⇒ 4
∴ The required value is 4