Question 3

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?

Solution

Option A) False, as it is mentioned no-one scored exactly 40 marks.

Option B) False, as only 1 student  or only 2 students can score above 40 and group average can be 40.

                 Case i:- 44, 39, 39, 39 & 39.

                 Case ii:- 42, 41, 39, 39 & 39.

Option C) False,  student's scores could be 44, 39, 39, 39 & 39.

Option D) False, student's scores could be 44, 43, 42, 32 & 39.

Option E) True, if scores of all students are more than 40. The average will be more than 40.

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