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.
Only I and II follow
Syllogism Reasoning: Statement Analysis
This solution analyzes logical reasoning statements and their corresponding conclusions to determine which ones logically and definitely follow.
Analyzing the Given Statements
The provided information is:
- Statement 1: Some women are weak.
- Statement 2: Some weaks are female.
- Statement 3: All female are iron.
- Statement 4: All iron are gold.
Evaluating Each Conclusion
We assess each conclusion based on the rules of logical deduction:
Conclusion I: Some weaks are iron.
- Consider Statement 2 ("Some weaks are female") and Statement 3 ("All female are iron").
- If a group possesses the characteristic 'female', and all 'female' things possess the characteristic 'iron', then the 'weak' individuals who are 'female' must also possess the characteristic 'iron'.
- Thus, it is logically necessary that Some weaks are iron.
- Conclusion I follows.
Conclusion II: Some gold are weaks.
- From Statement 2 ("Some weaks are female") and Statement 3 ("All female are iron"), we deduce that "Some weaks are iron".
- From Statement 3 ("All female are iron") and Statement 4 ("All iron are gold"), we deduce that "All female are gold".
- Now, using Statement 2 ("Some weaks are female") and the deduction "All female are gold", we can conclude that "Some weaks are gold".
- The statement "Some gold are weaks" is logically equivalent to "Some weaks are gold".
- Thus, it is logically necessary that Some gold are weaks.
- Conclusion II follows.
Conclusion III: Some women are female.
- Statement 1 ("Some women are weak") and Statement 2 ("Some weaks are female") indicate possible overlaps involving the category 'weak'.
- However, these statements do not guarantee that the 'women' group must overlap with the 'female' group. The 'weak' category could connect 'women' and 'female' in separate instances without direct connection between 'women' and 'female'.
- Therefore, Conclusion III does not necessarily follow.
Final Determination
Based on the logical analysis, only Conclusions I and II necessarily follow 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 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.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
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 dancers are talented.
Some girls are dancers.
Conclusions:
I. Some girls are talented.
II. All talented are girls.
III. All girls are talented.
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 directors are actors.
No actor is a producer.
All choreographers are directors.
Conclusions:
I. No choreographer is producer.
II. Some actors are choreographers.
III. No director is a producer.
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 follows from the statements.
Statements:
All lemons are plums.
All plums are dates.
Some dates are mangoes.
Conclusions:
I. Some lemons are mangoes.
II. Some mangoes are plums.
III. All lemons are dates.
IV. Some mangoes are dates.
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 cards are postcards.
Some cards are envelopes.
All envelopes are copies.
Conclusions:
I. Some copies are envelopes.
II. Some postcards are copies.
III. Some cards are copies.
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 employees are tax-payers.
Some employees are farmers.
Some farmers are doctors.
Conclusions:
I. No farmer is a tax-payer.
II. Some farmers are tax-payers.
