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.
Statements Analysis
We are given two statements:
- Statement 1: All silk cloths are woollen cloths. (Let Silk be S, Woollen be W. This means $S \subseteq W$).
- Statement 2: No woollen cloth is a nylon cloth. (Let Nylon be N. This means $W \cap N = \emptyset$).
Conclusion I Reasoning
Conclusion I states: No silk cloth is a nylon cloth ($S \cap N = \emptyset$).
From Statement 1, we know that the set of silk cloths is entirely contained within the set of woollen cloths ($S \subseteq W$).
From Statement 2, we know that the set of woollen cloths and the set of nylon cloths have no overlap ($W \cap N = \emptyset$).
Since all silk cloths are woollen cloths, and no woollen cloth is a nylon cloth, it logically follows that no silk cloth can be a nylon cloth. Therefore, Conclusion I is valid.
Conclusion II Reasoning
Conclusion II states: All woollen cloths are silk cloths ($W \subseteq S$).
Statement 1 says, "All silk cloths are woollen cloths" ($S \subseteq W$). This means the category 'silk' is a subset of 'woollen'. It does not state the reverse, that 'woollen' is a subset of 'silk'. For example, there could be woollen cloths that are not silk.
Therefore, Conclusion II does not logically follow from the statements.
Final Decision
Only Conclusion I logically follows from the given 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. 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 1: Some chairs are tables.
Statement 2: All books are tables.
Conclusion 1: Some books are chairs.
Conclusion 2: Some tables are chairs. - 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:
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.
