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 classrooms are schools. No school is a park. All houses are parks. Conclusions: I. No house is a classroom. II. No park is a classroom. III. No school is a house.
Option 1: All of the conclusions follow
Option 2: Only conclusion II follows
Option 3: Only conclusion I follows
Option 4: Only conclusion III follows
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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 house is a classroom – Because there is a negative relation between school and park and the classroom is completely inside the school and the house is completely inside the park. Therefore, no house is a classroom is also true. Conclusion (II): No park is a classroom – Because there is a negative relation between school and park and the classroom is completely inside the school. Therefore, no park is a classroom is also true. Conclusion (III): No school is a house – Because there is a negative relation between school and the park and the house is completely inside the park. Therefore, no school is a house is also true.
So, all of the conclusions follow. Hence, the first 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 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: All dates are cashews. All cashews are raisins. Some raisins are almonds. Conclusions: I. All almonds are dates. II. All dates are raisins. III. No cashew is an almond.
Option 1: Only conclusion III follows
Option 2: Only conclusions I and II follow
Option 3: Only conclusions II and III follow
Option 4: Only conclusion II follows
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 sheet is a pillow. Some pillows are blankets. All blankets are rugs. Conclusions: I. Some pillows are rugs. II. All blankets can never be sheets. III. Some rugs are sheets.
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 conclusions logically follow(s) from the statements. Statements: Some dates are weeks. Some weeks are months. All months are years. Conclusions: I. No date is a month. II. Some weeks are years. III. All years can never be dates.
Option 3: Only conclusion II follows
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 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
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