Statement:
All kids are students. Some students are athletes. No athlete is a scholar.
Conclusions:
I. Some kids may be athletes.
II. No kid is a scholar.
Statement Analysis
We need to determine which conclusion logically follows from the given statements.
- Statement 1: All kids are students. (Sets: Kids ⊆ Students)
- Statement 2: Some students are athletes. (Sets: Students ∩ Athletes ≠ ∅)
- Statement 3: No athlete is a scholar. (Sets: Athletes ∩ Scholars = ∅)
Evaluating Conclusion I: Some kids may be athletes
This conclusion suggests a possible overlap between the 'kids' group and the 'athletes' group.
From Statement 1, the 'Kids' set is entirely within the 'Students' set. From Statement 2, there is an overlap between 'Students' and 'Athletes'. It is possible for this overlap area (Students who are Athletes) to also include members of the 'Kids' set.
The statements do not prohibit kids from being athletes. Therefore, the possibility exists.
Conclusion I follows as a possibility.
Evaluating Conclusion II: No kid is a scholar
This conclusion states that there is no overlap between the 'kids' group and the 'scholars' group.
We know kids are students (Statement 1). Athletes and scholars are distinct groups (Statement 3). However, students who are not athletes could potentially be scholars. Since kids are students, a kid might be a scholar, provided they are not an athlete.
The given statements do not provide enough information to definitively say that no kid can be a scholar. A scenario where a kid is a scholar (and not an athlete) is consistent with the premises.
Conclusion II does not necessarily follow.
Final Determination
Only Conclusion I is consistent with the given statements as a possibility.
Therefore, only I follows.
Similar Questions
- Read the following statement carefully and identify the conclusion that follows.
Statement:
All poets are writers. Some writers are critics. No critic is a fool.
Conclusions:
I. Some poets are critics.
II. Some writers are not fools. - Statements: All dancers are artists. No artist is lazy.
Conclusions: I. No dancer is lazy. II. Some lazy are dancers. - Read the following statement carefully and identify the conclusion that follows.
Statement:
All oranges are fruits. No fruit is a vegetable. All vegetables are green.
Conclusions:
I. No orange is green.
II. No orange is a vegetable. - Statements: Some keys are locks. Some locks are doors.
Conclusions: I. Some keys are doors. II. All locks being keys is a possibility. - Read the following statement carefully and identify the conclusion that follows.
Statement:
All musicians are artists. Some artists are dancers. No dancer is blind.
Conclusions:
I. Some artists are not blind.
II. All blind are not dancers. Statements: Some pens are papers. All papers are books. Conclusions: I. Some pens are books. II. All books are pens.
Read the following statement carefully and identify the conclusion that follows.
Statement:
All birds are animals. Some animals are tigers. No tiger is a bird.
Conclusions:
I. Some tigers are birds.
II. Some animals are not birds.
- Statements: All dogs are cats. Some cats are rats. Conclusions: I. Some rats are dogs. II. All dogs are rats.
Read the following statement carefully and identify the conclusion that follows.
Statement:
All pens are blue things. Some blue things are plastic. No plastic is recyclable.
Conclusions:
I. Some pens are plastic.
II. Some blue things are not recyclable.
Read the following statement carefully and identify the conclusion that follows.
Statement:
No apple is blue. All oranges are apples.
Conclusions:
I. No orange is blue.
II. Some apples are oranges.
Important Questions from 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:
Some students are players.
All players are male.
Conclusions:
I. All males are players.
II. Some males are students.
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 creative is an employer.
All experts are creative.
All workers are experts.
Conclusions:
I. No employer is an expert.
II. No worker is an employer.
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 actors are choreographers.
All choreographers are producers.
Not a single producer is a director.
Conclusions:
I. Some actors are directors.
II. Not a single actor is a director.
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 flowers are tulips.
2. No tulips are whites.
Conclusions :
I. All tulips are flowers.
II. Some tulips are whites.
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 rats are dogs.
Some rats are hens.
Conclusions:
I. Some rats are dogs.
II. Some hens are rats.
