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.
Neither I nor II follows
Logical Reasoning: Analyzing Syllogism Statements and Conclusions
This question requires analyzing two statements and determining which of the two given conclusions logically follow from them.
Statements Analysis
- Statement I: Some teaspoons are glasses.
- Statement II: All teddies are teaspoons.
Conclusions Analysis
- Conclusion I: Some teddies are glasses.
- Conclusion II: Some glasses are teddies.
Logical Deduction
Let's represent the sets: D = Teddies, T = Teaspoons, G = Glasses.
- Statement II states that all members of set D are also members of set T (D ⊆ T).
- Statement I states that there is at least one member common to set T and set G (T ∩ G ≠ ∅).
Evaluating Conclusion I (Some teddies are glasses):
From Statement II, we know Teddies are a subset of Teaspoons. Statement I tells us that the Teaspoons set overlaps with the Glasses set. However, the overlap between Teaspoons and Glasses might occur in the part of the Teaspoons set that does not include Teddies. Therefore, it is not guaranteed that any Teddies are Glasses.
Evaluating Conclusion II (Some glasses are teddies):
This conclusion is the converse of Conclusion I. If Conclusion I is not necessarily true, then Conclusion II is also not necessarily true. Just because some Teaspoons are Glasses, and all Teddies are Teaspoons, it doesn't mean any Glasses must be Teddies.
Final Determination
Since the overlap described in Statement I (Teaspoons and Glasses) does not necessarily involve the subset described in Statement II (Teddies), neither Conclusion I nor Conclusion II logically and definitely follows from the given statements.
Similar Questions
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:
All bangles are rings.
Some rings are toys.
Some toys are dolls.
Conclusions:
I. Some rings are bangles.
II. Some dolls are rings.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:
1. Some players are singers.
2. All singers are tall.
3. Some players are strong.
Conclusions:
I. Some players are tall.
II. All players are strong.
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:
All bangles are rings.
Some rings are toys.
Some toys are dolls.
Conclusions:
I. Some rings are bangles.
II. Some dolls are rings.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:
1. Some players are singers.
2. All singers are tall.
3. Some players are strong.
Conclusions:
I. Some players are tall.
II. All players are strong.
