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: 1. No bed is a chair. 2. All tables are beds. 3. No cupboard is a bed. Conclusions: I. No table is a chair. II. No cupboard is a table. III. Some beds are tables.
Option 1: Only conclusions I and III follow
Option 2: Only conclusion I follows
Option 3: All of the conclusions follow
Option 4: Only conclusions II and III follow
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Correct Answer: All of the conclusions follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion I: No table is a chair – Because there is a direct negative relation between bed and chair and the table is a part of the bed, therefore, this conclusion is true. Conclusion II: No cupboard is a table – Because there is a direct negative relation between bed and cupboard and the table is a part of the bed, therefore, this conclusion is true. Conclusion III: Some beds are tables – From the Venn diagram, the circle of the table is completely inside the circle of the bed. Therefore, this conclusion is true.
So, all of the conclusions 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: All tractors are roads. No road is a park. No tractor is a vehicle. Conclusions: I. No vehicle is a tractor. II. No tractor is a park. III. Some roads are tractors.
Option 1: All of the conclusions follow
Option 2: Only conclusions II and III follow
Option 3: Only conclusion III follows
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: 1. All teachers are students. 2. All principals are teachers. 3. Some principals are doctors. Conclusions: I. Some students are teachers. II. No student is a doctor. III. Some students are principals.
Option 1: Only conclusions II and III follow
Option 2: All of the conclusions 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(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 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: No card is a picture. Some pictures are frames. No frame is a lens. Conclusions: I. No card is a frame. II. All pictures can never be lenses. III. At least some cards are lenses.
Option 1: Only conclusion II follows
Option 2: All conclusions I, II and III 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 2: Only conclusions I and II follow
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