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:
1. All men are prisoners.
2. No prisoners are educated.
Conclusions:
I. All prisoners are educated.
II. No men are educated.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Neither I nor II follows
Option 4: Both conclusion I and conclusion II follow
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Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
All prisoners are educated – From the Venn diagram, we can see that none of the prisoners are educated as there is no overlap. So, this conclusion does not follow.
Conclusion (II):
No men are educated – From the Venn diagram, we can see that none of the prisoners are educated and the circle of men lies inside the circle of prisoners. So, from this, it can be inferred that if no prisoners are educated then no men are educated. Thus, this conclusion follows.
So, only conclusion II follows. Hence, the second option is correct.
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