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: l. All phones are laptops. ll. All pen drives are phones. lll. All pen drives are pens. Conclusions: I. All pens are phones. II. All laptops are pens. III. All pen drives are laptops.
Option 1: Only conclusion III follows
Option 2: Only conclusions I and II follow
Option 3: Only conclusions II and III follow
Option 4: Only conclusions I and III follow
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Correct Answer: Only conclusion III follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): All pens are phones – From the Venn diagram, it is evident that the circles representing pens and phones overlap each other and have a part of their areas in common. So, from this, it can be concluded that some pens are phones. Thus, this conclusion does not follow. Conclusion (II): All laptops are pens – From the Venn diagram, it is evident that the circles representing pens and laptops overlap each other and have a part of their areas in common. So, from this, it can be concluded that some laptops are pens. Thus, this conclusion does not follow. Conclusion (III): All pen drives are laptops – From the Venn diagram, it is evident that the circle representing pen drives is completely overlapped by the circle representing laptops. So, from this, it can be concluded that all pen drives are laptops. Thus, this conclusion follows.
So, the only conclusion III follows. Hence, the first option is correct.
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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 books are pencils. II. Some pencils are pens. III. All pens are erasers. Conclusions: I. Some erasers are pencils. II. All pens are books. III. Some erasers are pens.
Option 1: Only conclusions I and II follow
Option 2: Only conclusions II and III follow
Option 3: Only conclusions I and III follow
Option 4: All conclusions follow
Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: Some laptops are phones. Some phones are capsules. Some capsules are pens. Conclusions: I. Some laptops are capsules. II. Some phones are pens. III. Some pens are capsules. IV. Some pens are phones.
Option 1: Only conclusions II and IV follow
Option 3: Only conclusion I follows
Option 4: Only conclusion III 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 computers are laptops. All laptops are mobiles. Some mobiles are tablets. Conclusions: I. Some mobiles are computers. II. All computers are mobiles. III. Some computers are tablets.
Option 1: Only conclusions II and III follow
Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: Some pens are boxes. No box is a fan. Some pens are fans. Conclusions: I. No pen is a fan. II. No box is a pen. III. Some fans are pens. IV. Some boxes are pens.
Option 1: Only conclusions I and III follow
Option 2: Only conclusions II and IV follow
Option 3: Only conclusions I and II follow
Option 4: Only conclusions III and IV 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 cancers are diseases. II. All tuberculosis is a disease. III. All diseases are curable. Conclusions: I. All tuberculosis is curable. II. Some cancers are tuberculosis. III. All cancers are curable.
Option 2: Only conclusions I and III follow
Option 3: All conclusions follow
Option 4: Only conclusions I and II follow
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