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Question : Directions: Two 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:
No truck is a bus.
Some buses are cars.
Conclusions:
I. No bus is a truck.
II. All cars are trucks.
III. Some cars are buses.

Option 1: Conclusions I, II, and III follow

Option 2: Both conclusions II and III follow

Option 3: Both conclusions I and II follow

Option 4: Both conclusions I and III follow


Team Careers360 20th Jan, 2024
Answer (1)
Team Careers360 22nd Jan, 2024

Correct Answer: Both conclusions I and III follow


Solution : The possible Venn diagram according to the statement is as follows –

Let's analyse the conclusions –
Conclusion I: No bus is a truck – From the Venn diagram, it is evident that there is a negative relation between a truck and a bus. So, from this, it can be concluded that no bus is a truck. Thus, this conclusion follows.
Conclusion II: All cars are trucks – Since no bus is a truck and some cars are buses. So, all cars can never be trucks. Thus, this conclusion does not follow.
Conclusion III: Some cars are buses – From the Venn diagram, it is evident that the circles representing cars and buses overlap and have some parts of their area in common. So, it can be concluded that some cars are buses. Thus, this conclusion follows.

So, both conclusions I and III follow. Hence, the fourth option is correct.

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