Question : Directions: In the following question below, some statements are followed by some conclusions. Taking the given statements to be true, even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusions logically follows from the given statements. Statements: All plates are pens. Some pens are pencils. Conclusions: I. All the plates are pencils. II. No plate is a pencil. III. Some pencils are pens.
Option 1: Only I
Option 2: Only II
Option 3: Only III
Option 4: Both I and III
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Correct Answer: Only III
Solution : The Venn diagram is as follows –
Let's analyse the conclusions – Conclusion (I): All plates are pencils – From the above Venn diagram, it is evident that there is no direct relation between plates and pencils. So, no definite relation can be drawn between them. Therefore, this conclusion does not follow. Conclusion (II): No plate is pencil – From the above Venn diagram, it is evident that there is no direct relation between plates and pencils. So, no definite relation can be drawn between them. Therefore, this conclusion does not follow. Conclusion (III): Some pencils are pens – From the above Venn diagram, it is evident that the circles representing pencils and pens overlap each other and have a part of their areas in common. So, this conclusion follows.
So, only conclusion III follows. Hence, the third option is correct.
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Question : Directions: In the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all conclusions and then decide which of the given conclusions logically follows from the given statements. Statements: I. Some cups are plates. II. No cup is a pencil. Conclusions: I. No plate is a pencil. II. Some plates are pencils. III. Some pencils are cups.
Option 3: Both I and II
Option 4: No conclusion follows
Question : Directions: In the following question below, some statements are followed by some conclusions. Taking the given statements to be true, even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusions logically follows from the given statements. Statements: I. Some red are blue. II. Some blue are plates. Conclusions: I. Some red are plates. II. Some plates are red. III. Some plates are blue.
Option 1: Only I and II
Option 2: Only II and III
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 scissors are spoons. All spoons are plates. Conclusions: I. Some plates are spoons. II. Some spoons are scissors. III. Some plates are scissors.
Option 1: All of the conclusions follow
Option 2: Only conclusions II and III follow
Option 3: Only conclusions I and II follow
Option 4: Only conclusions I and III follow
Question : Directions: In the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all conclusions and then decide which of the given conclusions logically follows from the given statements. Statements: Some black are red. Some red are cups. Some cups are plates. Conclusions: I. All black are cups. II. Some black are plates. III. No black is a plate.
Option 1: Both I and II
Option 2: Only III
Option 3: All conclusions follow
Option 4: None follows
Question : Directions: In the following question below, some statements are followed by some conclusions. Taking the given statements to be true, even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusions logically follows from the given statements. Statements: All red are pens. No pen is white. Conclusions: I. No white is a pen. II. No red is white. III. All pens are red.
Option 1: Only I and III
Option 2: Only I and II
Option 3: Only II and III
Option 4: All conclusions follow
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