Question : Directions: In the following question below, some statements are followed by some conclusions. Taking the given statements to be true, even if they seem to be at variance with commonly-known facts, read all the conclusions and decide which of the given conclusions logically follows from the given statements.
Statements:
All blues are black.
Some blues are yellow.
Conclusions:
All blues are yellow.
Some blacks are yellow.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Both conclusions follow
Option 4: Neither conclusion I nor conclusion II follows
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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 blues are yellow – According to the Venn diagram, between the circle of blue and yellow only some parts are common. Therefore, this conclusion does not follow.
Conclusion II:
Some blacks are yellow – According to the Venn diagram, it is clear that the circles representing the blacks and yellows intersect and have some part in common. So, some blacks are yellow is a true conclusion.
So, only conclusion II follows. Hence, the second option is correct.
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