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 J is Y. II. No X is Y. Conclusions: I. Some X is not Y. II. Some J is not X.
Option 1: Neither conclusion follows
Option 2: Both conclusions I and II follow
Option 3: Only conclusion I follows
Option 4: Only conclusion II follows
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Correct Answer: Both conclusions I and II follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion I: Some X is not Y – From the Venn diagram, it is evident that there is a negative relation between Y and X. Therefore, no X is Y. Since no X is Y, then some X will not be Y either. Thus, this conclusion follows. Conclusion II: Some J is not X – From the Venn diagram, it is evident that no Y is X and all J is Y. Therefore, no J is X. Since no J is X, then some J will not be X either. Thus, this conclusion follows.
So, both conclusions I and II follow. Hence, the second 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. No X is S. II. All J are X Conclusions: I. Some S are not X. II. Some J are not S. III. Some J are not X.
Option 1: Both conclusions I and III follow
Option 3: Neither conclusion follows
Option 4: Only conclusion I follows
Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: I. Some X are B. II. Some Y are X. Conclusions: I. Some B are Y. II. Some B are X. III. Some X are Y.
Option 1: Only conclusions II and III follow
Option 2: Only conclusion II follows
Option 3: Only conclusion III follows
Option 4: Only 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 conclusions logically follow the given statements. Statements: I. No J is K. II. Some K is L. Conclusions: I. Some K is J. II. Some L is J.
Option 1: Both conclusions I and II follow
Option 2: Neither conclusion follows
Option 3: 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: I. All B is M. II. Some J is B. Conclusions: I. Some M is not B. II. No J is M.
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 M are N. II. Some X are M. Conclusions: I. Some X are not N. II. Some N are not M.
Option 2: Only conclusion I follows
Option 3: Both conclusions I and II follow
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