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 Q is M. II. All O is M. Conclusions: I. Some O is not Q. II. All M is Q.
Option 1: Both conclusions I and II follow
Option 2: Only conclusion II follows
Option 3: Only conclusion I follows
Option 4: Neither conclusion follows
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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): Some O is not Q – From the diagram, it is evident that there is no direct relation between O and Q. So, this conclusion does not follow. Conclusion (II): All M are Q – From the Venn diagram, it is evident that some parts of the circles representing M lie outside the circle representing Q. So, it can be concluded that some M is Q.
So, neither conclusion follows. Hence, the fourth 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: All P is W. No O is W. Conclusions: I. Some O are not P. II. All W is O.
Option 1: Neither conclusion follows
Option 2: Only conclusion I follows
Option 3: Only conclusion II follows
Option 4: Both conclusions I and II 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 of the given conclusions logically follows the given statements. Statements: All R is P. All R is Q. Conclusions: I. No P is Q. II. No R is P.
Option 1: Neither conclusion (I) nor (II) follows
Option 2: Only conclusion (II) follows
Option 3: Both conclusions (I) and (II) follow
Option 4: Only conclusion (I) follows
Question : Directions: Two Statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: I. All P is Q. II. All R is Q. Conclusion: I. All Q is R. II. All P is R.
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: All A is M. No M is B. Conclusions: I. Some M is A. II. Some B is M. III. Some A is B.
Option 1: Both conclusions I and III follow
Option 2: Both conclusions II and III follow
Option 4: Only conclusion II 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: All N is K. All K is P. Conclusions: I. Some P is not K. II. No P is N.
Option 1: Only conclusion II follows
Option 2: Both conclusions I and II follow
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