Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which conclusions logically follow(s) from the statements.
Statements:
All bottles are jugs.
All jugs are cups.
Conclusions:
I. All bottles are cups.
II. All cups are bottles.
Option 1: Neither conclusion I nor II follows
Option 2: Both conclusions I and II follow
Option 3: Only conclusion I follows
Option 4: Only conclusion II follows
Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
All bottles are cups – From the Venn diagram, it is evident that the circle representing bottles is completely overlapped by the circle representing cups. Thus, it can be concluded that all bottles are cups.
Conclusion (II):
All cups are bottles – From the Venn diagram, it is evident that some parts of the circle representing cups lie inside the circle representing bottles while some lie outside. Thus, this conclusion does not follow.
So, only the conclusion I follows. Hence, the third option is correct.
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