Question : Directions: In the following question, two statements are given followed by two conclusions I and II. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements.
Statements:
I. Sohan is a good sportsman.
II. Sportsmen are healthy.
Conclusions:
I. All healthy people are sportsmen.
II. Sohan is healthy.
Option 1: Conclusion I follows
Option 2: Conclusion II follows
Option 3: Neither conclusion I nor conclusion II follows
Option 4: Both conclusion I and conclusion II follow
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Correct Answer: Conclusion II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
All healthy people are sportsmen – From the Venn diagram, the circle of sportsmen is completely inside the circle of healthy. Therefore, some healthy people are sportsmen is correct but all healthy people are sportsmen is a false conclusion.
Conclusion (II):
Sohan is healthy – From the Venn diagram, the circle that represents Sohan lies completely inside the circle that represents healthy. So, this conclusion follows.
Thus, only conclusion II follows. Hence, the second option is correct.
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