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: Some colleges are schools. No ground is a college. Conclusions: I. No college is a ground. II. No school is a college. III. Some schools are colleges.
Option 1: Only conclusions II and III follow
Option 2: Only conclusions I and II follow
Option 3: Only conclusions I and III follow
Option 4: All of the conclusions 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): No college is a ground – From the Venn diagram, it is evident that there is a negative relation between college and ground. Thus, it can be concluded that no college is ground. Conclusion (II): No school is a college – From the Venn diagram, it is evident that the circles representing schools and colleges overlap and have some parts of their area in common. Thus, this conclusion does not follow. Conclusion (III): Some schools are colleges – From the Venn diagram, it is evident that the circles representing schools and colleges overlap and have some parts of their area in common. Thus, it can be concluded that some schools are colleges.
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: All photographs are newspapers. Some photographs are computers. Conclusions: I. Some computers are photographs. II. Some computers are newspapers. III. Some newspapers are photographs.
Option 1: Only conclusions I and II follow
Option 2: Only conclusions I and III follow
Option 3: All of the conclusions follow
Option 4: Only conclusions II and III follow
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: Some mobiles are tablets. All tablets are laptops. Conclusions: I. Some laptops are mobiles. II. Some mobiles are laptops. III. All mobiles are laptops.
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: 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: I. All keys are locks. II. No door is a lock. Conclusions: I. Some locks are doors. II. Some locks are keys. III. No key is a door.
Option 1: Both conclusions I and II follow
Option 2: Conclusions I, II, and III follow
Option 3: Both conclusions II and III follow
Option 4: Both 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: 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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