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:

Question

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: (A)  80,83,86,89  (B)  84,86,88,90  (C)  79,81,83,85  (D)  84,87,90,93

Tardigrade Admin · Accepted Answer

n ( A ∪ B ) ≥ n ( A )+ n ( B )- n ( A ∩ B ) 100 ≥ 89+98- n ( A ∪ B ) n ( A ∪ B ) ≥ 87 87 ≤ n ( A ∪ B ) ≤ 89

Q. 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:

${80, 83, 86, 89}$

${84, 86, 88, 90}$

${79, 81, 83, 85}$

${84, 87, 90, 93}$

$n (A \cup B) \geq n (A) + n (B) - n (A \cap B)$
$100 \geq 89 + 98 - n (A \cup B)$
$n (A \cup B) \geq 87$
$87 \leq n (A \cup B) \leq 89$

Q. 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:

{80,83,86,89}

{84,86,88,90}

{79,81,83,85}

{84,87,90,93}