JEE Main 2007 — Statistics Question with Solution
From: AIEEE 2007
Question
The average marks of boys in a class is 52 and that of girls is 42. The average marks of boys
and girls combined is 50. The percentage of boys in the class is
Choose an option
Show full solutionCorrect option: A
Correct answer
A80
Step-by-step explanation
Let x and y are number of boys and girls in a class respectively.
52x + 42y = 50 (x + y)
52x + 42y = 50x + 50y
2x = 8y
x = 4y
Total no. of students = x + y = 4y + y = 5y
Percentage of boys = = 80%
52x + 42y = 50 (x + y)
52x + 42y = 50x + 50y
2x = 8y
x = 4y
Total no. of students = x + y = 4y + y = 5y
Percentage of boys = = 80%
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This is a previous-year question from JEE Main 2007, covering the Statistics chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.