Question : Directions: Two statements are given, followed by three conclusions numbered I, II, and III. 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 plums are pomegranates. Some plums are lemons. Conclusions: I. Some pomegranates are lemons. II. No lemon is a pomegranate. III. Some pomegranates are plums.
Option 1: Only conclusion III follows
Option 2: Only conclusion I follows
Option 3: Only conclusions I and III follow
Option 4: Only conclusions I and II follow
Correct Answer: Only conclusions I and III follow
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyze the conclusions – Conclusion (I): Some pomegranates are lemons – From the Venn diagram, it is evident that the circles representing pomegranates and lemons overlap and have some parts of their area in common. Thus, it can be concluded that some pomegranates are lemons. Conclusion (II): No lemon is a pomegranate – From the Venn diagram, it is evident that the circles representing pomegranates and lemons overlap and have some parts of their area in common. Thus, this conclusion does not follow. Conclusion (III): Some pomegranates are plums – From the Venn diagram, it is evident that some parts of the circle representing pomegranates lie inside the circle representing plums while some lie outside. Thus, it can be concluded that some pomegranates are plums.
So, only conclusions I and III follow. Hence, the third option is correct.
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Question : Directions: Two statements are given, followed by three conclusions numbered I, II, and III. 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: No tree is a plum. All pomegranates are trees. Conclusions: I. No pomegranate is a plum. II. No plum is a tree. III. Some trees are pomegranates.
Option 1: All of the conclusions follow
Option 2: Only conclusions II and III follow
Option 3: Only conclusions I and II follow
Option 4: Only conclusions I and III follow
Question : Directions: Three statements are given, followed by three conclusions numbered I, II, and III. 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: Some Sofas are Chair. Some Chairs are Tables. All Tables are Beds. Conclusions: (I) Some Sofas are Tables. (II) Some Chairs are Beds. (III) Some Beds are Sofas.
Option 1: Both Conclusions II and III follow
Option 2: Only Conclusion I follows
Option 3: Both Conclusions I and III follow
Option 4: Only Conclusion II follows
Question : Directions: In this question, 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 follows/follow from the statements. Statements: I. Some rooms are cages. II. Some cages are enclosures. III. All enclosures are houses. Conclusions: I. Some houses are cages. II. All rooms are enclosures.
Option 1: Both conclusions I and II follow
Option 3: Neither conclusion I nor II follows
Option 4: Only conclusion II follows
Question : Directions: Three statements are given followed by three conclusions numbered I, II, and III. 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 D is V. Some S is D. No W is S. Conclusions: I. Some W is not D. II. Some V is S. III. Some D is S.
Option 1: Only Conclusion III follows
Option 2: Conclusions I, II, and III follow
Option 3: Both Conclusions II and III follow
Option 4: Only Conclusion I follows
Question : Directions: Three statements are given, followed by three conclusions numbered I, II, and III. 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 covers are red. II. All red are magazines. III. Some magazines are books. Conclusions: I. Some books are red. II. Some magazines are covers. III. No cover is a book.
Option 2: Both conclusions II and III follow
Option 3: Only conclusion II follow
Option 4: Only conclusion I follow
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