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 S are R. II. No Z is S. Conclusions: I. Some S are not Z. II. Some R are not Z. III. No R is S
Option 1: Both conclusions I and II follows
Option 2: Both conclusions I and III follows
Option 3: Neither conclusion follows
Option 4: Only conclusion I follows
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Correct Answer: Both conclusions I and II follows
Solution : According to the given statements, the Venn diagram is given below.
Let's analyse the conclusions – Conclusion (I): Some S are not Z – From the above diagram, it is clear that the cross sign shows that no S is Z if no S is Z is true it is obvious that some S are not Z. So, this conclusion follows. Conclusion (II): Some R are not Z – From, the above diagram it is clear that S is a part of R and no S is Z is given. Now the part of R which is S is also not Z. So, this conclusion follows. Conclusion (III): No R is S – From, the above diagram it is clear that all S are R and some R are S. From the positive statement we can't draw a negative conclusion. So, this conclusion doesn't follow.
So, only conclusions I and II follow. 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 conclusions logically follow the given statements. Statements: I. All Z is Y. II. Some Y is B. Conclusions: I. Some B is not Z. II. Some Y is not Z. III. Some Z is Y.
Option 1: Both conclusions II and III follow
Option 2: Both conclusions I and III follow
Option 3: Only conclusion III 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 of the given conclusions logically follows the given statements. Statements: I. All A is Y. II. No Z is A. Conclusions: I. All Y are A. II. Some Y is A. III Some A is Z.
Option 1: Neither conclusion follows
Option 2: All conclusion follows
Option 3: Only conclusion II follows
Option 4: Both conclusions I 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. All R is M. II. Some S is R. Conclusions: I. Some R is S. II. Some M is not R. III. Some R is M.
Option 1: Only conclusion II follows
Option 3: All conclusions follow
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: 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 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. 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 2: Both conclusions I and II follow
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