The Gateway to Computer Science Excellence
First time here? Checkout the FAQ!
x
+15 votes
1.7k views

$P, Q, R$ 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. $S$
asked in Numerical Ability by Veteran (101k points)
edited by | 1.7k views

4 Answers

+23 votes
Best answer

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 contant of proportionality.

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

Given by,

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

 $\qquad= 1.256$

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.

answered by Boss (19.7k points)
edited by
0

Can some one explain the following statement from question?

 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

0
it just represents the growth rate - how fast a microbe grows.
0
I don't know whether My way of working is correct

but what my intuitive analysis is

danger is based on 3 factors

(1)toxicity

(2)potency

(3)growth

since if we see given graph clearly S is most toxic as less quantity of S is required to more damage(indicated by what is written on graph's y axis)

S has more chance than P, Q and R surviving the human immunity system

but growh rate of S is comparatively slower than that of P, Q and R.

but since S is ahead of P, Q and R by 2 factors so overall danger will be possessed by S most.

please let me know if its correct.
0
It's clearly mentioned in the question that the danger to human beings varies proportionately with the toxicity, potency and growth. Then why you're taking the inverse of the toxicity?
0
but we have to think generally its given 800 mg of P is required for burning down some wieght but S needs only 200mg to do the same work so S is more dangerous
+1 vote
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)
answered by (431 points)
0 votes

\text{danger to human beings} \propto \text{toxicity}\\ \indent \qquad\qquad\qquad\qquad\qquad\,\,\,\propto \text{potency}\\ \indent \qquad\qquad\qquad\qquad\qquad\,\,\,\propto \text{growth}

\implies \text{danger}(x) = c \times \text{toxicity}(x) \times \text{potency}(x) \times \text{growth}(x)

So,

\text{danger}(P) = c \times \underbrace{\text{toxicity}(P)}_{800} \times \underbrace{\text{potency}(P)}_{0.4} \times \underbrace{\text{growth}(P)}_{50}\\\\ \indent\qquad\qquad \,\,\,= 16000 c

\text{danger}(Q) = c \times 600 \times 0.5 \times 40= 12000 c

\text{danger}(R) = c \times 300 \times 0.4 \times 30= 3600 c

\text{danger}(S) = c \times 200 \times 0.8 \times 20= 3200 c

Since P poses the most danger, the company should target P first.

answered by Boss (20.8k points)
+1
It is wrong. Check the answer below. You did a bit mistake while considering the toxicity.
+1
Yes I see my mistake now.

Thanks for pointing that out :)
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.

answered by Junior (677 points)
0
So where it is mentioned that toxicity has to be inversely proportional
Answer:

Related questions



Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true

39,440 questions
46,623 answers
139,373 comments
57,020 users