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 from commonly known facts, read all the conclusions and then decide which of the given conclusions logically follows from the given statements.
Statements:
Some white is yellow.
All yellow is blue.
Conclusions:
I. Some blue is white.
II. Some yellow is white.
Option 1: Only I follows
Option 2: Only II follows
Option 3: Neither I nor II follows
Option 4: Both I and II follow
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Correct Answer: Both I and II follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion I:
Some blue is white – From the Venn diagram, it is evident that the circles representing blue and white overlap each other. So, from this, it can be concluded that some blue is white. Thus, this conclusion follows.
Conclusion II:
Some yellow is white – From the Venn diagram, it is evident that the circles representing yellow and white overlap each other. So, from this, it can be concluded that some yellow is white. Thus, this conclusion follows.
So, both conclusions I and II follow. Hence, the fourth option is correct.
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