XAT 2023 — QA & DI Question 13
Five students appeared for an examination. The average mark obtained by these five students is 40. The maximum mark of the examination is 100, and each of the five students scored more than 10 marks. However, none of them scored exactly 40 marks. Based on the information given, which of the following MUST BE true?
Answer & solution
- A
At least, three of them scored a maximum of 40 marks
- B
At least, three of them scored more than 40 marks
- C
At least, one of them scored exactly 41 marks
- D
At most, two of them scored more than 40 marks
At least, one of them scored less than 40 marks
Average of 5 studens is 40, hence their total marks = 200
If the average is 40, there are two possibilities:
Case 1: All score exactly 40, but that is not possible.
Case 2: At least one scores more than 40 and at least one scores less than 40.
Hence, option (e).