Question : Directions: Three statements are given followed by three conclusions numbered I, II, and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
I. All cancers are diseases.
II. All tuberculosis is a disease.
III. All diseases are curable.
Conclusions:
I. All tuberculosis is curable.
II. Some cancers are tuberculosis.
III. All cancers are curable.
Option 1: Only conclusions II and III follow
Option 2: Only conclusions I and III follow
Option 3: All conclusions follow
Option 4: Only conclusions I and II follow
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Correct Answer: Only conclusions I and III follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
All tuberculosis is curable – From the Venn diagram, it is evident that the circle representing tuberculosis lies inside the circle representing curable. So, from this, it can be concluded that all tuberculosis is curable. Thus, this conclusion follows.
Conclusion (II):
Some cancers are tuberculosis – From the Venn diagram, it is evident that there is no direct relation between cancer and tuberculosis. So, no definite relation can be drawn. Thus, this conclusion does not follow.
Conclusion (III):
All cancers are curable – From the Venn diagram, it is evident that the circle representing cancer lies inside the circle representing curable. So, from this, it can be concluded that all cancers are curable. Thus, this conclusion follows.
Therefore, only conclusions I and III follow. Hence, the second option is correct.
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