Averages and Extremes in Marks
XAT 2023 · Quantitative Ability & Data Interpretation · Easy · Averages
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?
- 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
- E.
At least, one of them scored less than 40 marks
E
Explanation
Sum of marks = . Since no student scored exactly 40, if all students scored , their sum would strictly exceed 200. Thus, at least one student must have scored .
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