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:
I. Some mangoes are not red.
II. All reds are raw.
III. Some raw are mangoes.
Conclusions:
I. Some mangoes are not raw.
II. Some red are not mangoes.
III. All raw are red.
Option 1: Only conclusion I follows
Option 2: Only conclusions II and III follow
Option 3: Only conclusions I and III follow
Option 4: No conclusion follows
Correct Answer: No conclusion follows
Solution : The possible Venn diagram, according to the given statements is as follows–
Let's analyse the conclusions –
Conclusion I:
Some mangoes are not raw – There is no direct or definite negative relation between mango and raw. So, this conclusion does not follow.
Conclusion II:
Some red are not mangoes – From the Venn diagram, it is evident that some mangoes are not red but there is no negative relation of red with mangoes. Thus, the given conclusion cannot be drawn. So, this conclusion does not follow.
Conclusion III:
All raw are red – From the Venn diagram, it is evident that some parts of the circle representing raw lie inside the circle representing red while some lie outside. So, this conclusion does not follow.
So, no conclusion follows. Hence, the fourth option is correct.
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