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.
Logical Analysis of Statements
We need to determine if the given conclusions logically follow from the statements.
Statement Analysis
- Statement 1: "All doctors are players." This means the entire group of doctors is included within the group of players.
- Statement 2: "Some players are teachers." This indicates there is an overlap between the group of players and the group of teachers. At least one player is a teacher.
Conclusion Analysis
- Conclusion 1: "Some players are doctors as well as teachers."
- From Statement 1, we know players can be doctors.
- Statement 2 says some players are teachers. However, it does not guarantee that the players who are teachers are the same ones who are doctors. The overlap between players and teachers might exist outside the group of doctors.
- Therefore, we cannot be certain that any player is both a doctor and a teacher.
- Conclusion 2: "All teachers are players."
- Statement 2 only states that *some* players are teachers. It does not provide information about *all* teachers.
- It is possible for there to be teachers who are not players.
- Therefore, this conclusion does not necessarily follow.
Final Determination
Based on the analysis, neither Conclusion 1 nor Conclusion 2 can be logically derived from the given statements.
Result: Neither conclusions 1 nor 2 follows.
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 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.
