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
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.
