A student appeared in the Mock CAT. The test paper contained 3 sections namely QA, DI and VA. The percentage marks in all VA was equal to the average of percentage marks in all the 3 sections. Coincidentally, if we reverse the digit of the percentage marks of QA we get the percentage marks of DI. The percentage marks in VA scored by student could be:

Explanation:-

Let the percentage marks in QA =(10a +b)%
Let the percentage marks in DI = (10b +a)%
Let the percentage marks in VA = x%.

Now, according to the question, we have,
[(10a+b) + x + (10b+a)] /3 = x
→11a + 11b + x = 3x.
or, x = 11(a +b) /2.
Clearly, we can see that the percentage of the VA section will be a multiple of 11.
So, required answer will be 66.