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. All G are K. II. Some K are T. Conclusions: I. No T is G. II. No K is T. III All K is G.
Option 1: Neither conclusion follows
Option 2: Both conclusions II and III follow
Option 3: Both conclusions I and II follow
Option 4: Both conclusions I and III follow
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Correct Answer: Neither conclusion follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): No T is G – From the Venn diagram, it is evident that there is no definite relation between G and T. Thus, this conclusion does not follow. Conclusion (II): No K is T – From the Venn diagram, it is evident that the circles representing K and T overlap and have some parts of their area in common. Thus, this conclusion does not follow. Conclusion (III): All K is G – From the Venn diagram, it is evident that some parts of the circle representing K lie inside the circle representing G while some lie outside. Thus, this conclusion does not follow.
So, neither conclusion follows. Hence, the first option is correct.
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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 B are T II. No K is B Conclusion: I. No B is K II. Some T is B III. Some T are K
Option 1: Both conclusions I and II follows
Option 2: All conclusion follows
Option 3: Both conclusions I and III follows
Option 4: Neither conclusion follows
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
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 2: Only conclusion II follows
Option 4: Only conclusion III follows
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. All A is G. II. Some M is G. Conclusion: I. Some G is A. II. Some G is M. III. All M is A.
Option 1: Both conclusions I and III follow
Option 2: Both conclusions I and II follow
Option 3: Only conclusion II follows
Option 4: All conclusions follow
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. All K are M. II. Some K is Z. Conclusions: I. All M are Z. II. All M are K. III. Some M is K.
Option 1: All conclusion follows
Option 2: Neither conclusion follows
Option 3: Only conclusion III follows
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