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.
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
Correct Answer: Only conclusions I and II follow
Solution : The possible Venn diagram according to the given statement is as follows –
Let's analyse the conclusions – Conclusion I: Some laptops are mobiles – From the Venn diagram, it is evident that the circles representing laptops and mobiles overlap and have some parts of their area in common. So, from this, it can be concluded that some laptops are mobiles. Thus, this conclusion follows. Conclusion II: Some mobiles are laptops – From the Venn diagram, it is evident that the circles representing mobiles and laptops overlap and have some parts of their area in common. So, from this, it can be concluded that some mobiles are laptops. Thus, this conclusion follows. Conclusion III: All mobiles are laptops – From the Venn diagram, it is evident that the circles representing mobiles and laptops overlap and have some parts of their area in common. So, from this, it can be concluded that some mobiles are laptops. Thus, this conclusion does not follow.
So, the only conclusions I and II follow. Hence, the first 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.
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
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: All coffees and milkshakes are teas. None of the coffees are milkshakes. Conclusions: I. Some coffees are milkshakes. II. Some teas are coffees. III. Some milkshakes are teas.
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
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 1: Both conclusions I and II follow
Option 2: Both conclusions II and III follow
Option 3: Only conclusion II follow
Option 4: Only conclusion I follow
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