Xavier Aptitude Test 2023 Paper

Question : 51 of 102

Marks: +1, -0

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?

At least, three of them scored a maximum of 40 marks
At least, three of them scored more than 40 marks
At least, one of them scored exactly 41 marks
At most, two of them scored more than 40 marks
At least, one of them scored less than 40 marks

Validate

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 .

Go to Question:

Prev Question

Next Question