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:
A graduate is a man.
This thief is a graduate.
Conclusions:
I. This thief is a man.
II. Some men are thieves.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Neither conclusion I nor conclusion II follows
Option 4: Both conclusion I and conclusion II follow
Correct Answer: Both conclusion I and conclusion II follow
Solution : The possible Venn diagram according to the given statements is as follows –
Now, let's analyse the conclusions –
Conclusion (I):
This thief is a man – From the Venn diagram, the circle of the thief is completely inside the circle of man. So, any thief will be a man and this conclusion follows.
Conclusion (II):
Some men are thieves – From the Venn diagram, we can see that some part of the area that represents the man is outside the area that represents thieves. This means that some men are thieves. So, this conclusion follows.
Therefore, both conclusion I and conclusion II follow. Hence, the fourth option is correct.
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