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
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Correct Answer: None of the conclusions follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some yellow is red – From the Venn diagram, there is no definite relation between yellow and red. Therefore, this conclusion is false. Conclusion (II): No yellow is red – From the Venn diagram, there is no definite relation between yellow and red. Therefore, this conclusion is false. Conclusion (III): Some green are blue – From the Venn diagram, there is no definite relation between green and blue. Therefore, this conclusion is false. Conclusion (IV): No green is blue – From the Venn diagram, there is no definite relation between green and blue. Therefore, this conclusion is false.
So, none of the conclusions follow. Hence, the fourth option is correct.
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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: Some curtains are pillows. No pillow is a bedsheet. Some curtains are bedsheets. Conclusions: I. No curtain is a bedsheet. II. No pillow is a curtain. III. Some bedsheets are curtains. IV. Some pillows are curtains.
Option 1: All conclusions follow
Option 2: Both conclusions II and III follow
Option 3: Both conclusions III and IV follow
Option 4: Both 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(s) from the statements. Statements: No toy is beautiful. Some beautiful are actresses. All actresses are rich. Conclusions: I. No toy is rich. II. Some actresses are beautiful. III. Some actresses are rich.
Option 1: Only conclusions II and III follow
Option 2: Only conclusions I and III follow
Option 3: All the conclusions follow
Option 4: 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(s) from the statements. Statements: Some telescopes are periscopes. Some telescopes are microscopes. Some telescopes are kaleidoscopes. Conclusions: I. Some kaleidoscopes are telescopes. II. Some microscopes are kaleidoscopes. III. Some microscopes are telescopes.
Option 1: Only conclusion III follows
Option 3: Only conclusions II and III follow
Option 4: All 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: 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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