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:
I. Some L are G.
II. All M are L.
Conclusion:
I. All L are M.
II. Some G are not M.
III. No M is G.
Option 1: Both conclusions I and II follow
Option 2: No conclusion follows
Option 3: Both conclusions I and III follow
Option 4: Both conclusions II and III follow
Correct Answer: No conclusion follows
Solution :
According to the given statements, the Venn diagram is given below –
Let's analyse the conclusions –
Conclusion (I):
All L are M – It is clearly shown in the diagram all M are L which means M is a part of L. But all L are M is not true as M is the part of L. So, the conclusion I doesn't follow.
Conclusion (II):
Some G are not M – It is clearly shown in the diagram that circles of M and G don't touch each other as there is no definite relation given between them. So, conclusion II doesn't follow.
Conclusion (III):
No M is G – It is clearly shown in the diagram that the circles of M and G don't touch each other as there is no definite relation given between them. So, conclusion III doesn't follow.
So, neither of the conclusions follows. Hence, the second option is correct.
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