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 : Let the average marks of the remaining 30 students be $p$. So, $65=\frac{(30×85)+(30×p)}{60}$ ⇒ $65 × 60 = 2550 + 30p$ ⇒ $3900 = 2550 + 30p$ ⇒ $30p = 3900 – 2550$ ⇒ $p=\frac{1350}{30}$ $\therefore p=45$ 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 an examination, the average marks obtained by the girls of a class is 85 and the average marks obtained by the boys of the same class is 87. If the girls and boys are in the ratio of 4 : 5, the average marks of the whole class (approximately) are closest to:
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