JEE Main 2024 — Sets and Relations Question with Solution
JEE Main 2024 (04 Apr Shift 1)
Question
In a survey of 220 students of a higher secondary school, it was found that at least 125 and at most 130 students studied Mathematics; at least 85 and at most 95 studied Physics; at least 75 and at most 90 studied Chemistry; 30 studied both Physics and Chemistry; 50 studied both Chemistry and Mathematics; 40 studied both Mathematics and Physics and 10 studied none of these subjects. Let and respectively be the least and the most number of students who studied all the three subjects. Then is equal to ______
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Show full solutionCorrect answer: 45
Correct answer
45
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This is a previous-year question from JEE Main 2024, covering the Sets and Relations 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.