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$P, Q, R$ and $S$ are four types of dangerous microbes recently found in a human habitat. The area of each circle with its diameter printed in brackets represents the growth of a single microbe surviving human immunity system within $24$ hours of entering the body. The danger to human beings varies proportionately with the toxicity, potency and growth attributed to a microbe shown in the figure below:

A pharmaceutical company is contemplating the development of a vaccine against the most dangerous microbe. Which microbe should the company target in its first attempt?

  1. $P$
  2. $Q$
  3. $R$
  4. $S$
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Best answer
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49 votes

Answer is D.

As per the question, it is quite clear that the danger of a microbe to human being will be directly proportional to potency and growth. At the same time it is inversely proportional to toxicity, defined as( more dangerous will a microbe be if lesser of its milligram is required).

So, $\text{Level Of Danger (D)}  \propto \text{Growth (G)} \propto \text{Potency (P)  }\dfrac{1}{\propto} \text{ Toxicity (T)}$

$D = \dfrac{KGP}{T}$

where K is constant of proportionality.

So level of danger will be maximum for $S.$

Given by,

 $D_S =\dfrac{0.8\times \large\pi(10)^{2}}{200}$

 $\qquad= 1.256$

Similar calculations for $D{_P} , D{_Q} , D{_R}$ can be done. Which will consequently lead to $D{_S}$ being the most dangerous and hence will be targeted first.

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danger is inversely proportional to toxicity as the most dangerous would be the one which require less milligram to destroy half of body mass

SO, danger = (K * potency * growth)/toxicity

answer will be S

SO OPTION (D)
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0 votes

Tnx for the answer....As the question says- The danger to human beings varies proportionately with the toxicity, potency and growth...nothing about direct proportionality

Hence, Toxicity is considered as inversely proportional as given in the graph.

Answer:

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