Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusion logically follows the given statements.
Statements:
I. Some fan are table.
II. All fan are kite.
Conclusions:
I. Some kite are table.
II. All table are fan.
III. All kite are fan.
Analyzing Fan, Table, Kite Statements and Conclusions
We are given two statements and three conclusions. We need to determine which conclusions logically follow from the statements, assuming the statements are true.
Given Statements:
- I. Some fan are table.
- II. All fan are kite.
Analyzing Conclusions:
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Conclusion I: Some kite are table.
From statement I, we know there's an overlap between 'fan' and 'table'. From statement II, we know that all 'fan' are also 'kite'. Therefore, the 'fan' that are 'table' must also be 'kite'. This means there is an overlap between 'kite' and 'table'. Thus, Conclusion I logically follows.
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Conclusion II: All table are fan.
Statement I only states that 'Some fan are table'. It does not provide information about *all* tables. There could be tables that are not fans. Thus, Conclusion II does not logically follow.
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Conclusion III: All kite are fan.
Statement II states 'All fan are kite'. This means the set of 'fan' is a subset of the set of 'kite'. It does not imply the reverse, that 'all kite are fan'. There could be kite that are not fan. Thus, Conclusion III does not logically follow.
Based on the analysis, only Conclusion I logically follows from the given 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.
