Question : Directions: Two statements are given followed by two conclusions numbered I and II. 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:
I. All trolleys are baskets.
II. Some briefcases are trolleys.
Conclusions:
I. All briefcases are baskets.
II. Some baskets are briefcases.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Neither conclusion I nor II follows
Option 4: Both conclusions I and II follow
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 briefcases are baskets – From the Venn diagram, we can see that the two circles representing briefcases and baskets have an area in common but it does not completely overlap. So, this conclusion does not follow.
Conclusion (II):
Some baskets are briefcases – From the Venn diagram, we can see that the two circles representing baskets and briefcases overlap and have a part of their area in common. So, this conclusion follows.
So, the only conclusion II follows. Hence, the second option is correct.
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