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 conclusions logically follow the given statements. Statements: I. Some L is M. II. All G is M. Conclusions: I. No G is L. II. No M is L. III. Some M is G.
Option 1: Both conclusions I and II follow
Option 2: Only conclusion II follows
Option 3: Both conclusions I and III follow
Option 4: Only conclusion III follows
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Correct Answer: Only conclusion III follows
Solution : The possible Venn diagram according to the given statement is as follows –
Let's analyse the conclusions – Conclusion I: No G is L – From the Venn diagram, it is evident that there is no direct relation between G and L. So, no definite relation can be drawn. Thus, this conclusion does not follow. Conclusion II: No M is L – From the Venn diagram, it is evident that the circles representing M and L overlap and have some parts of their area in common. So, from this, it can be concluded that some M is L. Thus, this conclusion does not follow. Conclusion III: Some M is G – From the Venn diagram, it is evident that some parts of the circle representing M lie inside the circle representing G while some lie outside. So, it can be concluded that some M is G. Thus, this conclusion follows.
So, the only conclusion III follows. Hence, the fourth option is correct.
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