Three statements are given, followed by three conclusions numbered I, II, and III. Assuming the statements to be true, decide which of the conclusions logically follow(s): Statements: Conclusions:
No lotus is a daisy.
All lotuses are tulips.
All tulips are sunflowers.
I. All daisies are tulips.
II. Some sunflowers are daisies.
III. No sunflower is a daisy.
Either conclusion II or III follows.
Let's analyze each statement and conclusion to determine which conclusions logically follow:
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Statements:
- No lotus is a daisy.
- All lotuses are tulips.
- All tulips are sunflowers.
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Convert statements into logic:
- No lotus is a daisy: This means there is no direct relationship between lotuses and daisies.
- All lotuses are tulips: Every lotus is a part of the tulip category.
- All tulips are sunflowers: Every tulip is also a sunflower. Hence, lotuses are indirectly sunflowers as well.
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Evaluate each conclusion:
- Conclusion I: All daisies are tulips. This is not necessarily true because the statements do not establish any connection from daisies to tulips.
- Conclusion II: Some sunflowers are daisies. This is possible but not guaranteed since there's no direct link established between sunflowers and daisies.
- Conclusion III: No sunflower is a daisy. Given the statements, particularly that every tulip (including lotuses) is a sunflower and no lotus is a daisy, this conclusion seems plausible but not certain unless proven by a particular rule or model.
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Conclusion:
The statements create a scenario where neither conclusion II nor III can be definitively proven as true without contradicting the logic of circular syllogism:
- For daisies and sunflowers, the statements do not provide a direct relationship.
- Therefore, either Conclusion II "Some sunflowers are daisies" or Conclusion III "No sunflower is a daisy" can follow, but not both simultaneously, and no direct contradiction or confirmation from the statements is given.
Thus, the correct option is: Either conclusion II or III 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. - Read the following statement carefully and identify the conclusion that follows.
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. - 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.
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.
