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: Choose the correct choice from the following answers:
A) 81  B) 48  C) 66  D) 69  E) None of these
Solution: 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.   Answer: Option 66
<result>C</result>
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: