Statement 1: Some chairs are tables.
Statement 2: All books are tables.
Conclusion 1: Some books are chairs.
Conclusion 2: Some tables are chairs.
Analyzing Statements and Conclusions
We need to determine which conclusions logically follow from the given statements.
Statement Analysis
- Statement 1: Some chairs are tables.
- This implies an overlap between the set of 'chairs' and the set of 'tables'. At least one chair is a table, and at least one table is a chair.
- Statement 2: All books are tables.
- This means the entire set of 'books' is contained within the set of 'tables'.
Conclusion Analysis
- Conclusion 1: Some books are chairs.
- From Statement 2, books are a subset of tables. From Statement 1, some tables are chairs. However, we don't know if the specific subset of tables that are books overlaps with the subset of tables that are chairs. The books could potentially be among the tables that are *not* chairs. Therefore, this conclusion does not necessarily follow.
- Conclusion 2: Some tables are chairs.
- This follows directly from Statement 1 ("Some chairs are tables"), which explicitly states that there is an intersection between tables and chairs.
Logical Deduction
Based on the analysis:
- Conclusion 2 is a direct inference from Statement 1.
- Conclusion 1 is not guaranteed, as the relationship between books and chairs is not explicitly defined or deducible from the given statements.
Final Verdict
Only Conclusion 2 logically follows from the statements.
Similar Questions
Read the given statement and conclusions carefully. Assuming that the information given in the statement is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statement.
Statement:
All reds are black.
Conclusions:
1. Some blacks are red.
2. Some reds are black.
Read the given statements and conclusions carefully. Assuming the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follows from the statements.
Statements:
All benches are bags.
Some bags are pillows.
Some bags are not chairs.
Conclusions:
Some benches are pillows.
Some pillows are chairs.
- Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
1 Some glasses are mugs.
2 All mugs are plates.
3 No plate is a telephone.
Conclusions:
1. Some glasses are plates.
2. Some mugs are not telephones. - Read the given statements and conclusions carefully and decide which of the conclusions logically follow(s) from the statements.
Statements:
1. All doctors are players.
2. Some players are teachers.
Conclusions:
1. Some players are doctors as well as teachers.
2. All teachers are players. - Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follows from the statements.
Statements:
All silk cloths are woollen cloths.
No woollen cloth is a nylon cloth.
Conclusions:
I. No silk cloth is a nylon cloth.
II. All woollen cloths are silk cloths. - Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follows from the statements.
Statements:
Some toffees are candies.
All candies are lollipops.
Conclusions:
I. No lollipop is a toffee.
II. Some lollipops are candies. Read the given statement(s) and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statement(s).
Statements: All eggs are kings. Some kings are tickets.
Conclusion (I): All tickets are eggs.
Conclusion (II): Some eggs are tickets.
Read the given statement(s) and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statement(s).
Statements:
Some apples are baskets. All baskets are drums.
Conclusions:
(I) Some drums are apples.
(II) No drum is an apple.
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statement: All Corns are Cauliflowers. No Cauliflowers are Spinaches.
Conclusion (I): No Spinaches are Corns.
Conclusion (II): Some Spinaches are Corns.
Important Questions from Conventional Syllogism
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
No bank is an office.
All offices are stalls.
Conclusions:
I. No bank is a stall.
II. No stall is a bank.
III. Some stalls are offices.
IV. All the stalls are offices
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
All flowers are beautiful.
Vaidehi is beautiful.
Conclusions:
I. Vaidehi is a flower.
II. Some beautiful are flowers.
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
1. All rugs are blankets.
2. All blankets are pillows.
3. Some blankets are frames.
Conclusions:
I. All pillows are rugs.
II. Some pillows are rugs.
III. All rugs are frames
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
Some fingers are toes.
Some toes are rings.
Some rings are hands.
Conclusions:
I. Some hands are toes.
II. Some rings are fingers.
III. Some hands are fingers.
V. Some fingers are rings.
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
All polygons are angles.
All angles are diagonals.
All cones are cubes.
All cubes are decagons.
No diagonal is a cube.
Conclusions:
I. Some diagonals are polygons.
II. All diagonals are decagons.
III. No polygon is a cone.
IV. Some cubes are angles.
