Question : Directions: Three 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: All c is f. No f is t. All p is c. Conclusions: I. Some t is c. II. No p is t.
Option 1: Only conclusion II follows
Option 2: Only conclusion I follows
Option 3: Neither conclusion I nor II follows
Option 4: Either conclusion I or II follows
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Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some t is c – From the Venn diagram, it is evident that all c is f and no f is t. So, it can be concluded that no c is t. Therefore, this conclusion does not follow. Conclusion (II): No p is t – From the Venn diagram, it is evident that all p is c, all c is f and no f is t. So, it can be concluded that no p is t.
So, the only conclusion II follows. Hence, the first option is correct.
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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.
Option 1: Neither conclusion 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 T is G. All G is H. Conclusions: I. All T is H. II. No G is T. III. All H is G.
Option 1: All conclusions follow
Option 2: Only conclusion III follows
Option 3: Only conclusion I follows
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: No A is B. No C is B. Conclusions: I. Some C is not A. II. Some A is B.
Option 2: 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: Some L is Z. Some L is T. Conclusions: I. All Z is L. II. No T is Z.
Option 1: Only conclusion I follows
Option 2: Both conclusions I and II follow
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: 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
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