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 tractors are roads.
No road is a park.
No tractor is a vehicle.
Conclusions:
I. No vehicle is a tractor.
II. No tractor is a park.
III. Some roads are tractors.
Option 1: All of the conclusions follow
Option 2: Only conclusions II and III follow
Option 3: Only conclusion III follows
Option 4: Only conclusions I and III follow
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Correct Answer: All of the conclusions follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
No vehicle is a tractor – From the given Venn diagram, no tractor is a vehicle. Therefore, no vehicle is a tractor is also a true conclusion.
Conclusion (II):
No tractor is a park – From the given Venn diagram, no park is a road and the tractor is a part of the road. Therefore, this conclusion is correct.
Conclusion (III):
Some roads are tractors – From the given Venn diagram, the circle of the tractor is completely inside the circle of the road. Therefore, this conclusion is correct.
So, all of the conclusions follow. Hence, the first option is correct.
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