JEE Main 2020 — Sets And Relations Question with Solution
From: JEE Main 2020 (Online) 5th September Morning Slot
Question
A survey shows that 73% of the persons working in an office like coffee, whereas 65% like tea. If x denotes the percentage of them, who like both coffee and tea, then x cannot be :
Choose an option
Show full solutionCorrect option: B
Correct answer
B36
Step-by-step explanation
C person like coffee
T person like Tea
n(C) = 73
n(T) = 65
n(C T) 100
n(C) + n(T) – n (C T) 100
73 + 65 – x 100
x 38
73 – x 0 x 73
65 – x 0 x 65
38 x 65
T person like Tea
n(C) = 73
n(T) = 65
n(C T) 100
n(C) + n(T) – n (C T) 100
73 + 65 – x 100
x 38
73 – x 0 x 73
65 – x 0 x 65
38 x 65
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This is a previous-year question from JEE Main 2020, 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.