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Sets, Relations and Function - JEE Mathematics question (JEE Main 2020 (Online) 5th September Morning Shift)

JEE Main 2020 (Online) 5th September Morning ShiftQuestion 1
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 :
Sets, Relations and Function
Options for question 1, choose one

Solution

$x\ge73+65-100=38$ and $x\le65$. So $x$ cannot be $36$. Option (D).

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