The statements below are followed by two conclusions labeled I and II. Assuming that the information in the statements is true, even if it appears to be at variance with generally established facts, decide which conclusion(s) logically and definitely follow(s) from the information given in the statements. Statement 1 : All shells are skins. Statement 2 : No skins are cats. Conclusion I : No shells are cats. Conclusion II : Some skins are shells.
Both I and II follow
Logical Reasoning: Statements & Conclusions Analysis
This solution analyzes logical statements about shells, skins, and cats to determine the validity of given conclusions.
Analyzing the Statements
Statement 1: All shells are skins.
- This implies the set 'shells' is a subset of the set 'skins'.
Statement 2: No skins are cats.
- This implies the sets 'skins' and 'cats' are disjoint.
Evaluating Conclusion I: No shells are cats
Reasoning:
- Since all 'shells' are within the 'skins' set (Statement 1), and the 'skins' set is entirely separate from the 'cats' set (Statement 2), it must be true that 'shells' are also separate from 'cats'.
- Therefore, Conclusion I logically follows.
Evaluating Conclusion II: Some skins are shells
Reasoning:
- Statement 1, "All shells are skins," directly means that any existing shell is necessarily a skin.
- This establishes that the 'skins' category includes the 'shells' category.
- Therefore, it is true that at least some skins are shells. Conclusion II logically follows.
Overall Findings
Both Conclusion I and Conclusion II are valid deductions based on the provided statements.
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.
