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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 gorillas are bears.
All pigs are bears.
All bears are tigers.
Conclusions:
I. All pigs are tigers.
II. All tigers are gorillas.
III. Some tigers are pigs.

Option 1: Only conclusions I and II follow

Option 2: Only conclusions I and III follow

Option 3: All conclusions follow

Option 4: Only conclusions II and III follow


Team Careers360 22nd Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

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 pigs are tigers – From the Venn diagram, it is evident that the circle representing pigs is completely overlapped by the circle representing tigers. So, it can be concluded that all pigs are tigers.
Conclusion (II): All tigers are gorillas – From the Venn diagram, it is evident that some parts of the circle representing tigers lie outside the circle representing gorillas while some lie inside. So, this conclusion does not follow.
Conclusion (III): Some tigers are pigs – From the Venn diagram, it is evident that some parts of the circle representing tigers lie outside the circle representing pigs while some lie inside. So, it can be concluded that some tigers are pigs.

So, the only conclusions I and III follow. Hence, the second option is correct.

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