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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Correct Answer: Only I and II
Solution : The Venn diagram is as follows –
Let's analyse the conclusions – Conclusion (I): No white is a pen – From the given statements, it is evident that no pen is white. So, from this, it can be concluded that no white is a pen. Thus, this conclusion follows. Conclusion (II): No red is white – From the given statements, all red are pens and no pen is white. So, from this, it can be concluded that no red is white. Thus, this conclusion follows. Conclusion (III): All pens are red – From the Venn diagram, it is evident that some part of the circle that represents pens is outside the circle that represents red. So, from this, it can be concluded that some pens are red. Thus, this conclusion does not follow.
So, only conclusions I and II follow. Hence, the second option is correct.
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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
Option 3: Only III
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: 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 4: Both I and III
Question : Directions: Three statements are given, followed by four conclusions numbered I, II, III, and IV. 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 blue is red. Some green are red. All yellow is green. Conclusions: I. Some yellow are red. II. No yellow is red. III. Some green are blue. IV. No green is blue.
Option 1: Only conclusions I and IV follow
Option 2: Only conclusions I and II follow
Option 3: Only conclusions III and IV follow
Option 4: None of the conclusions 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 teachers are engineers. All clerks are teachers. Conclusions: I. Some engineers are clerks. II. Some teachers are clerks. III. Some clerks are not engineers.
Option 1: Only conclusions I and III follow
Option 3: All of the conclusions follow
Option 4: Only conclusions II 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 conclusions logically follow(s) from the statements. Statements: Some deer are snakes. All deer are tigers. Some wolves are deer. Conclusions: I. Some tigers are not deer. II. Some deer are wolves. III. Some tigers are snakes.
Option 1: Only conclusion III follows
Option 2: Only conclusions II and III follow
Option 3: Only conclusions I and III follow
Option 4: All the conclusions follow
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