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
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Correct Answer: Only 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 erasers are pencils – In the Venn diagram, it is clear that the circles that represent erasers and pencils intersect and have a part of their area in common. So, some erasers are pencils is a true conclusion. Conclusion II: All pens are books – In the Venn diagram, it is clear that there is no definite relation between pens and books. Therefore, this conclusion does not follow. Conclusion III: Some erasers are pens – From the Venn diagram, it is evident that some parts of the circle representing erasers lie outside the circle representing pens while some lie inside. So, it can be concluded that some erasers are pens.
So, the only conclusions I and III follow. Hence, the third 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 pencils are colours. II. All colours are paints. III. Some paints are drawings. Conclusions: I. Some pencils are drawings. II. Some paints are colours. III. Some colours are pencils.
Option 1: Only conclusions I and III follow
Option 3: Only conclusions I and II 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 from the statements. Statements: I. All blocks are toys. II. All toys are books. III. All books are stories. Conclusions: I. Some toys are blocks. II. Some blocks are books. III. Some stories are toys.
Option 4: All 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: 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
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 bikes are cars. II. Some cars are trucks. III. All trucks are cycles. Conclusions: I. Some cars are cycles. II. Some cycles are trucks. III. Some bikes are trucks.
Option 1: Only conclusions II and III follow
Option 2: Only conclusions I 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: I. Some pens are books. II. All books are compasses. III. Some compasses are pins. Conclusions: I. Some compasses are pens. II. All compasses are pens. III. Some pins are books. IV. Some compasses are books.
Option 3: Only conclusions I and IV follow
Option 4: Only conclusions III and IV follow
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