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: I. All cats are tigers. II. All tigers are lions. III. Some tigers are dogs. Conclusions: I. All cats are lions. II. Some dogs are lions.
Option 1: Neither conclusion I nor II 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): All cats are lions – From the Venn diagram, it is evident that the circle representing cats is completely overlapped by the circle representing lions. So, from this, it can be concluded that all cats are lions. Thus, this conclusion follows. Conclusion (II): Some dogs are lions – From the Venn diagram, it is evident that the circles representing dogs and lions overlap and have a part of their area in common. So, from this, it can be concluded that some dogs are lions. Thus, this conclusion follows.
So, both conclusions I and II follow. Hence, the second 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 follows the statements.
Statements: Some Ants are Bats. Some Bats are Cats. Conclusions: I. Some Ants are Cats. II All Bats can never be Cats.
Option 1: Neither conclusion I nor II follow.
Option 2: Only conclusion I follows.
Option 3: Only conclusion II follows.
Option 4: Both conclusions I and II follow.
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 papers are chair. Some chairs are ground. All cats are ground. Conclusions: I. Some cats are chairs. II. Some chairs are not paper.
Option 1: Only conclusion II follows
Option 4: Neither conclusion I nor 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 red are birds. II. All birds are dogs. Conclusion: I. Some birds are dogs. II. Some dogs are not red.
Option 2: Both conclusions I and II follows
Option 4: Neither conclusion 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 trolleys are baskets. II. Some briefcases are trolleys. Conclusions: I. All briefcases are baskets. II. Some baskets are briefcases.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Neither conclusion I nor II follows
Option 4: Both conclusions I and II follow
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. Some apples are fruits. II. All fruits are mangoes. Conclusions: I. Some apples are mangoes. II. All mangoes are fruits.
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