JEE Mains · Maths · STD 11 - 1. set theory
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 \(\mathrm{K}\, \%\) of them are suffering from both ailments, then \(\mathrm{K}\) can not belong to the set :
- A \(\{79,81,83,85\}\)
- B \(\{84,86,88,90\}\)
- C \(\{80,83,86,89\}\)
- D \(\{84,87,90,93\}\)
Answer & Solution
Correct Answer
(A) \(\{79,81,83,85\}\)
Step-by-step Solution
Detailed explanation
\(\mathrm{n}(\mathrm{A} \cup \mathrm{B}) \geq \mathrm{n}(\mathrm{A})+\mathrm{n}(\mathrm{B})-\mathrm{n}(\mathrm{A} \cap \mathrm{B})\) \(100 \geq 89+98-\mathrm{n}(\mathrm{A} \cap \mathrm{B})\) \(\mathrm{n}(\mathrm{A} \cap \mathrm{B}) \geq 87\)…
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