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Sets, Relations and Function - JEE Mathematics question (JEE Main 2021 (Online) 26th August Morning Shift)

JEE Main 2021 (Online) 26th August Morning ShiftQuestion 1
Out of all the patients in a hospital $89\%$ are found to be suffering from heart ailment and $98\%$ are suffering from lungs infection. If $K\%$ of them are suffering from both ailments, then $K$ can not belong to the set :
Sets, Relations and Function
Options for question 1, choose one

Solution

$K\le 89$ and $K\ge 89+98-100=87$, so $K\in[87,89]$. Set (C) $\{79,81,83,85\}$ has no admissible element; others each contain 88, 89 or 87. Option (C).

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