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 T is P. II. All P is L. Conclusions: I. All T is L. II. All L is P. III. Some P is T.
Option 1: Both conclusions II and III follow
Option 2: Both conclusions I and II follow
Option 3: Both conclusions I and III follow
Option 4: All conclusions follow
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Correct Answer: Both conclusions I and III follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): All T is L – From the Venn diagram, it is evident that the circle representing T completely lies inside the circle representing L. So, from this, it can be concluded that all T is L. Thus, this conclusion follows. Conclusion (II): All L is P – From the Venn diagram, it is evident that some parts of the circle representing L lie outside the circle representing P while some lie inside. So, from this, it can be concluded that some L is P. Thus, this conclusion does not follow. Conclusion (III): Some P is T – From the Venn diagram, it is evident that some parts of the circle representing P lie outside the circle representing T while some lie inside. So, from this, it can be concluded that some P is T. Thus, this conclusion follows.
So, both conclusions I and III follow. Hence, the third option is correct.
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Question : Directions: In the following question some statements are given, 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 is R. II.No R is T. Conclusions: I. No T is R. II. No S is T. III. No R is S.
Option 1: All conclusions follow
Option 2: Both conclusions I and III follow
Option 3: Both conclusions II and III 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. All fruits are vegetables. II. All vegetables are almonds. Conclusions: I. Some vegetables are fruits. II. All almonds are vegetables. III. Some fruits are almonds.
Option 2: All conclusions follow
Option 3: Both conclusions I and II follow
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 of the given conclusions logically follows the given statements. Statements: I. Some R is C. II. All R is K. Conclusions: I. All K is R. II. All C is R. III. All C is K.
Option 3: 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 Rice are Salad. II. All Salad are Table. Conclusions: I. Some Rice are Table. II. No Salad is Rice. III. Some Tables are Salad.
Option 2: All 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 H is D. II. All D is M. Conclusions: I. Some M is D. II. Some H is M. III. Some D is H.
Option 1: Both conclusions I and III
Option 2: Both conclusions II and III follow
Option 3: All conclusion follows
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