Question : Directions: In the following question below, some statements are followed by some conclusions. Taking the given statements to be true, even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusions logically follows from the given statements.
Statements:
Some bags are hot.
All hot things are cakes.
Conclusions:
I. All cakes are bags.
II. All bags are cakes.
Option 1: Conclusion I follows
Option 2: Conclusion II follows
Option 3: Neither I nor II follows
Option 4: Both I and II follow
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Correct Answer: Neither I nor II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
All cakes are bags – From the Venn diagram, the circle of the cake is not completely inside the circle of the bag only some parts of cakes and bags intersect and have a common area between them. This means that some cakes are bags. So, this conclusion does not follow.
Conclusion (II):
All bags are cakes – From the Venn diagram, the circle of the bag is not completely inside the circle of the cake only some parts of cakes and bags intersect and have a common area between them. This means that some bags are cakes. So, this conclusion does not follow.
So, neither I nor II follows. Hence, the third option is correct.
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