Question : Directions: Three Statements are given followed by three conclusions numbered I, II, and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
All bottles are containers.
Some containers are buckets.
All buckets are soaps.
Conclusions:
I. Some soaps are bottles.
II. Some buckets are bottles.
III. Some soaps are containers.
Option 1: Only conclusion I follows
Option 2: All conclusions follow
Option 3: Only conclusion II follows
Option 4: Only conclusion III follows
Correct Answer: Only conclusion III follows
Solution : According to the statements, the following diagram can be drawn –
Let's analyse the conclusions –
Conclusion I:
Some soaps are bottles – From the above diagram, it is evident that there is no direct relation between bottles and soap. So, no definite relation can be drawn between them. Therefore, this conclusion does not follow.
Conclusion II:
Some buckets are bottles – From the above diagram, it is evident that there is no direct relation between bottles and buckets. So, no definite relation can be drawn between them. Therefore, this conclusion does not follow.
Conclusion III:
Some soaps are containers – From the above diagram, it is evident that the circles representing soap and containers overlap each other and have a part of their areas in common. So, this conclusion follows.
Therefore, only conclusion III follows. Hence, the fourth option is correct.
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