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 1: Both conclusions II and III follow
Option 2: Both conclusions I and III follow
Option 3: Conclusions I, II and III follow
Option 4: Both conclusions I and II follow
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): Some guns are bullets – From the Venn diagram, it is evident that the circles representing guns and bullets intersect and have some parts of their area in common. Thus, it can be concluded that some guns are bullets. Conclusion (II): No bullet is a gun – From the Venn diagram, there is no negative relation between bullet and gun. Thus, this conclusion doesn't follow. Conclusion (III): Some guns are knives – From the Venn diagram, it is evident that some parts of the circle representing guns lie inside the circle representing knives while some lie outside. Thus, it can be concluded that some guns are knives.
So, both conclusions I and III follow. Hence, the second 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 2: Conclusions I, II and III follow
Option 3: Both conclusions I and II follow
Option 4: Both 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: 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: 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: 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
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
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