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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Question : The average mark obtained in a class of 50 students is 70%. The average of the first 25 is 60% and that of 24 is 80%. What were the marks obtained by the last student?
Question : A student's marks were wrongly entered as 65 instead of 45. Due to this, the average marks for the class got increased by $\frac{1}{3}$. The number of students in the class is:
Question : The average mark of 60 students in a class is 62. The average marks of boys and girls in that subject are 60 and 65, respectively. The number of boys in the class is:
Question : In a class of 50 students, 22 girls scored an average of 35 marks in the test. What are the average marks of the boys if the class average is 42 marks?
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