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 of the given conclusions logically follow(s) from the statements.
Statements:
All bottles are glasses.
All glasses are jugs.
Conclusions:
I. All bottles are jugs.
II. All jugs are bottles.
III. Some glasses are bottles.
Option 1: Only conclusions I and III follow
Option 2: Only conclusions I and II follow
Option 3: Only conclusion I follows
Option 4: Only conclusions II and III follow
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Correct Answer: Only conclusions I and III follow
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
All bottles are jugs – From the Venn diagram, it is evident that the circle of the bottle is completely overlapped with the circle of the jug. Therefore, this conclusion is true.
Conclusion (II):
All jugs are bottles – From the Venn diagram, it is evident that the circle of the bottle is completely inside the circle of the jug. Therefore, some jugs are bottles is true but all jugs are bottles is false.
Conclusion (III):
Some glasses are bottles – From the Venn diagram, it is evident that the circle of the bottle is completely inside the circle of the glass. Therefore, this conclusion is true.
So, only conclusions I and III follow. Hence, the first option is correct.
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