Question : The average mark obtained by a class of 60 students is 65. The average marks of half of the students were found to be 85. The average marks of the remaining students are:
Option 1: 35
Option 2: 45
Option 3: 55
Option 4: 65
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Correct Answer: 45
Solution :
Given that the average mark of 60 students is 65.
Total marks = (60 × 65) = 3900
The average mark of half of the students = 85
Therefore, total marks of 30 students = 30 × 85 = 2550
Total marks of the remaining students = 3900 – 2550 = 1350
So, the Average mark of the remaining 30 students = $\frac{1350}{30}$ = 45
Hence, the correct answer is 45.
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