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?
Option 1: 50
Option 2: 52.5
Option 3: 47.5
Option 4: 55
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Correct Answer: 47.5
Solution : Let the average marks of boys be a. According to the question, $\frac{(22×35)+(28×a)}{50}=42$ ⇒ $28a=2100–770$ ⇒ $a=\frac{1330}{28}=47.5$ Hence, the correct answer is 47.5.
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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:
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:
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:
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