Statements: (i) Some teachers are advocates.
(ii) Some players are teachers.
Conclusions: (I) All players are advocates.
(II) All advocates are players.
(III) Some advocates are teachers.
Then which conclusion follows ?
Logical Reasoning Statements Analysis
This question requires us to analyze two given statements and determine which of the three provided conclusions logically follows from them. This is a typical syllogism problem testing deductive reasoning skills.
Statement Analysis
- Statement (i):
Some teachers are advocates.This statement establishes a relationship between the set of 'teachers' and the set of 'advocates'. It means there is at least one person who belongs to both categories. The overlap is confirmed, but it does not imply that *all* teachers are advocates, nor that *all* advocates are teachers. - Statement (ii):
Some players are teachers.Similarly, this statement establishes an overlap between the set of 'players' and the set of 'teachers'. It means there is at least one person who is both a player and a teacher. This does not provide information about whether *all* players are teachers or *all* teachers are players.
Conclusion Evaluation
Let's examine each conclusion based on the information from the statements:
- Conclusion (I):
All players are advocates.The statements tell us that some players are teachers (Statement ii) and some teachers are advocates (Statement i). However, the teachers who are players might be a completely different group from the teachers who are advocates. There's no information guaranteeing that every player must also be an advocate. Thus, this conclusion does not necessarily follow. - Conclusion (II):
All advocates are players.Similar to Conclusion (I), we only know about an overlap between teachers and advocates. We cannot infer that the entire group of advocates falls within the group of players. This conclusion does not necessarily follow. - Conclusion (III):
Some advocates are teachers.Statement (i) explicitly states, "Some teachers are advocates". In logic, this relationship is symmetric. If "Some A are B" is true, then "Some B are A" is also true. Therefore, if some teachers are advocates, it logically follows that some advocates must be teachers. This conclusion is valid based directly on Statement (i).
Valid Conclusion Identification
By analyzing the implications of the given statements, we find that only Conclusion (III) is logically guaranteed. Conclusions (I) and (II) make claims about entire sets (all players or all advocates) which cannot be supported by the "some" statements provided.
Therefore, the only conclusion that logically follows from the given statements is Only (III).
Important Questions from Conventional Syllogism
In this question, three statements followed by two conclusions numbered I and II have been given. You have to take the given statements to be true even if they seem to be at variance from the commonly facts and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.
Statements: Some flats are apartments.
No apartment is a hall.
Some halls are rooms.
Conclusions: I. At least some rooms are flats.
II. No apartment is a room.
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:
I. Some blue are red.
II. Some green are red.
Conclusions:
I. No blue is green.
II. No red is green.
Given below are two statements, Consider these statements to be true even if they seem factuality absurd, Read the conclusions and then decide which of the given conclusions logically follow(s) from the given statements?
Statements :
1. All vases are flowers.
2. No flowers is a plant.
Conclusions :
1. No vases is a plant.
2. Some plant are vases
In the question two statements are given, followed by three conclusions, I, II and III. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.
Statement 1 : Some cars are scooters.
Statement 2 : All scooters are buses.
Conclusion I : Some scooters are cars.
Conclusion II : Some buses are cars.
Conclusion III : All cars are buses.
In the question below are given three statements followed by two conclusions. You have to take each of the given statements to be true. Read the conclusions and then decide which of the conclusions can be logically derived.
Statements:
Some schools are colleges.
No college is university.
All universities are hospitals.
Conclusions:
I. Some schools are universities.
II. At least some hospitals are colleges.
