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
The statements below are followed by conclusions labeled I, II and III. 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.
Statements:
All twenty are thirty.
All thirty are forty.
All forty are sixty.
All sixty are seventy.
Conclusions:
I. Some forty are thirty.
II. Some seventy are sixty.
III. No thirty is twenty.The statements below are followed by two conclusions labelled 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.
Statements:
All Strong are animals.
Some animals are Tigers.
All Tigers are Sharp.
Conclusions:
I. Some Strong are Sharp.
II. No Strong is Sharp.The statements below are followed by conclusions labelled I, II and III. 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.Statements:
Some women are weak.
Some weaks are female.
All female are iron.
All iron are gold.Conclusions:
I. Some weaks are iron.
II. Some gold are weaks.
III. Some women are female.
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.Statements:
Some teaspoons are glasses.
All teddies are teaspoons.
Conclusions:
I. Some teddies are glasses.
II. Some glasses are teddies.
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.
Statements:
All bangles are rings.
Some rings are toys.
Some toys are dolls.
Conclusions:
I. Some rings are bangles.
II. Some dolls are rings.
