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 truck is a bus. Some buses are cars. Conclusions: I. No bus is a truck. II. All cars are trucks. III. Some cars are buses.
Option 1: Conclusions I, II, and III follow
Option 2: Both conclusions II and III follow
Option 3: Both conclusions I and II follow
Option 4: Both conclusions I and III follow
Correct Answer: Both conclusions I and III follow
Solution : The possible Venn diagram according to the statement is as follows –
Let's analyse the conclusions – Conclusion I: No bus is a truck – From the Venn diagram, it is evident that there is a negative relation between a truck and a bus. So, from this, it can be concluded that no bus is a truck. Thus, this conclusion follows. Conclusion II: All cars are trucks – Since no bus is a truck and some cars are buses. So, all cars can never be trucks. Thus, this conclusion does not follow. Conclusion III: Some cars are buses – From the Venn diagram, it is evident that the circles representing cars and buses overlap and have some parts of their area in common. So, it can be concluded that some cars are buses. Thus, this conclusion follows.
So, both conclusions I and III follow. Hence, the fourth 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 drums are bells. All whistles are bells. Conclusions: I. Some drums are whistles. II. Some bells are drums. III. Some bells are whistles.
Option 1: Both conclusions II and III follow
Option 2: Conclusions I, 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: I. All knives are guns. II. Some bullets are knives. Conclusions: I. Some guns are bullets. II. No bullet is a gun. III. Some guns are knives.
Option 2: Both conclusions I and III follow
Option 3: Conclusions I, II and III follow
Option 4: Both conclusions I and II 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
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 bags are pens All pencils are pens Conclusions: I. Some pens are bags II. All bags are pencils III. Some pens are pencils
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 3: Only conclusion II follow
Option 4: Only conclusion I follow
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