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:

Answer: Option C

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,
$$\begin{array}{rl}& \frac{\left(10\text{a}+\text{b}\right)+\text{x}+\left(10\text{b}+\text{a}\right)}{3}=\text{x}\\ & 11\text{a}+11\text{b}+\text{x}=3\text{x}\\ & \text{or, x}=\frac{11\left(\text{a}+\text{b}\right)}{2}\end{array}$$
Clearly, we can see that the percentage of the VA section will be a multiple of 11
So, required answer will be 66