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.
Analyzing Syllogism Statements and Conclusions
We need to determine if the given conclusions logically follow from the provided statements.
Statements Analysis
- Statement 1: Some glasses are mugs. (Representation: $G \cap M \neq \emptyset$)
- Statement 2: All mugs are plates. (Representation: $M \subseteq P$)
- Statement 3: No plate is a telephone. (Representation: $P \cap T = \emptyset$)
Conclusions Analysis
- Conclusion 1: Some glasses are plates.
- Conclusion 2: Some mugs are not telephones.
Evaluating Conclusion 1
From Statement 1, we know there's an overlap between 'glasses' and 'mugs'.
From Statement 2, we know that every 'mug' is also a 'plate'.
Therefore, the glasses that are mugs must also be plates. This directly implies that at least some glasses are plates.
Conclusion 1 follows.
Evaluating Conclusion 2
From Statement 2, we know all mugs are plates ($M \subseteq P$).
From Statement 3, we know no plate is a telephone ($P \cap T = \emptyset$).
Since every mug is a plate, and no plate can be a telephone, it must be true that no mug can be a telephone ($M \cap T = \emptyset$).
If no mug is a telephone, it logically follows that some mugs are not telephones (assuming the existence of mugs).
Conclusion 2 follows.
Final Verdict
Both Conclusion 1 and Conclusion 2 logically follow 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 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 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 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 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 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 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
- Consider the following Statements and Conclusions :
Statements : Mohan is a good sportsman.
Sportsmen are healthy.
Conclusions : I. All healthy persons are sportsmen.
II. Mohan is healthy.
Which one of the following is correct? Premises : All metals are grey in colour. Some metals are heavy.
Conclusion: I. All heavy metals are grey in colour.
II. All light metals are not grey in colour.Premises : All film stars are playback singers. All film directors are film stars.
Conclusion: I. All film directors are playback singers.
II. Some film stars are film directors.Premises : All apples are golden in colour. No golden coloured things are cheap.
Conclusion: I. All apples are cheap.
II. Golden coloured apples are not cheap.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.
