JEE Main 2002 — Statistics Question with Solution
From: AIEEE 2002
Question
In a class of 100 students there are 70 boys whose average marks in a subject are 75. If the average marks of the complete class is 72, then what is the average marks of the girls?
Choose an option
Show full solutionCorrect option: B
Correct answer
B65
Step-by-step explanation
Given that, total students = 100
and number of boys = 70
No. of girls = 100 - 70 = 30
Average of 100 students = 72
Total marks of 100 students = 100 72 = 7200
Average of 70 boys = 75
Total marks of 70 boys = 70 75 = 5250
Total marks of 30 girls = 7200 5250 = 1950
Average marks of 30 girls = = 65
and number of boys = 70
No. of girls = 100 - 70 = 30
Average of 100 students = 72
Total marks of 100 students = 100 72 = 7200
Average of 70 boys = 75
Total marks of 70 boys = 70 75 = 5250
Total marks of 30 girls = 7200 5250 = 1950
Average marks of 30 girls = = 65
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This is a previous-year question from JEE Main 2002, 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.