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
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Correct Answer: Only III
Solution : The Venn diagram is as follows –
Let's analyse the conclusions – Conclusion (I): Some red are plates – From the above Venn diagram, it is evident that there is no direct relation between red and plate. So, no definite relation can be drawn between them. Therefore, this conclusion does not follow. Conclusion (II): Some plates are red – From the above Venn diagram, it is evident that there is no direct relation between red and plate. So, no definite relation can be drawn between them. Therefore, this conclusion does not follow. Conclusion (III): Some plates are blue – From the above Venn diagram, it is evident that the circles representing blue and plates overlap each other and have a part of their area 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: 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 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 1: Only I
Option 2: Only II
Option 3: Both I and II
Question : Directions: Two Statements are given followed by two conclusions numbered I and II. 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 pink are black Some blue are pink Conclusions: I. All blue is black II. All pink is black
Option 1: Only conclusion I follows
Option 2: Neither conclusion I nor II follows
Option 3: Only conclusion II follows
Option 4: Either conclusion I or II follows
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: 1. All apples are mangoes. 2. Some bananas are mangoes. Conclusions: I. Some mangoes are bananas. II. Some mangoes are apples. III. No mango is an apple.
Option 1: Only conclusions I and III follow
Option 2: Either conclusion I or III follows
Option 3: Only conclusions I and II follow
Option 4: Only conclusion II follows
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 carpenters are singers. All singers are doctors. Conclusions: I. No doctor is a carpenter. II. Some doctors are singers. III. Some carpenters are doctors.
Option 1: All of the conclusions follow
Option 2: Only conclusion II follows
Option 3: Only conclusion III follows
Option 4: Only conclusions II and III follow
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