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 ______.

Options

• {80, 83, 86, 89}

• {79, 81, 83, 85}

• {84, 87, 90, 93}

• {84, 86, 88, 90}

Answer 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 {79, 81, 83, 85}.

Explanation:

Let H and L be the set of people suffering from heart ailment and lungs infections respectively.

n(H) = 89%

n(L) = 98%

Let n(H ∩ L) = K%

max{0, n(H) + n(L) – n(H ∪ L)} < n(H ∩ L) < min{n(H), n(L)}

So, 87% ≤ n(H ∩ L) ≤ 89%