Question : Directions: Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. You have to decide which conclusion/s logically follow/s from the given statements.
Statements:
(I) All cranes are mixers.
(II) Some mixers are trucks.
(III) All trucks are vans.
Conclusions:
(I) No crane is a van.
(II) Some vans are mixers.
Option 1: Only conclusion II follows
Option 2: Both conclusions I and II follow
Option 3: Neither conclusion I nor II follows
Option 4: Only conclusion I follows
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Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram for the according to the given statements –
Let's analyse the conclusions –
Conclusion (I):
No crane is a van – From the Venn diagram, it can be seen that there is no definite relation between a crane and a van. Therefore, this conclusion does not follow.
Conclusion (II):
Some vans are mixers – From the Venn diagram, it can be seen that some part of the circle representing vans intersects the circle representing mixers. Therefore, this conclusion follows.
So, the only conclusion II follows. Hence, the first option is correct.
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