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 rats are roads.
II. All roads are bags.
Conclusions:
I. All bags are rats.
II. Some bags are rats.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Both conclusions I and II follow
Option 4: Neither conclusion I nor II follows
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 bags are rats – From the Venn diagram, it is evident that some parts of the circle representing bags lie inside the circle representing rats while some lie outside. Thus, this conclusion does not follow.
Conclusion (II):
Some bags are rats – From the Venn diagram, it is evident that some parts of the circle representing bags lie inside the circle representing rats while some lie outside. Thus, it can be concluded that some bags are rats.
So, the only conclusion II follows. Hence, the second option is correct.
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