Question : Directions: In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows the given statements.
Statements:
Some white are cars.
No truck is a car.
Conclusions:
I. All trucks are white.
II. Some cars are white.
Option 1: Only conclusion II follows
Option 2: Neither conclusion follows
Option 3: Only conclusion I follows
Option 4: Both conclusions I and II follow
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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 trucks are white
– From the Venn diagram, there is no direct relation between white and truck. So, no definite relation can be drawn. Therefore, this conclusion does not follow.
Conclusion (II):
Some cars are white
– From the Venn diagram, it is evident that the two circles representing cars and white overlap and have a part of their area in common. So, this conclusion follows.
So, the only conclusion II follows. Hence, the first option is correct.
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