saswata4s wrote:

The median score is 50

(1) Suppose, the class have 10 students. Now if median is 50, 5th and 6th students can both score 50, or they can score 40 and 60 respectively. For each case, the percentage will be different. Hence, Insuff.

(2) 100 students took the test. same situation as case (1). further, there is no information provided about the students who score above 75.

(1) & (2) together:

same as (1), either both 50th and 51st students can score 50, or they can score 40 & 50, or 45 & 55. So the percentage will be different in both cases. Hence, insiuff.

Ans: E.

If 50th and 51st students score 50 that means 49 students score greater than 50. As per statement 1, No. of students who score between >50 and <75 is equal to No. of students who score greater than 75.

So this cannot be the case as number of students needs to be even to be able to be split equally between both.

I think it is E because statement A does not take into consideration the number of students who have marks equal to 75. Your case becomes valid in this scenario that some students might have marks equal to 75.

Would the answer be C if we had count of students who had marks equal to 75 in statement A ?

Bunuel