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 Pianos are Guitars. Some Guitars are Violins. No Violins are Drums. Conclusions: (I) Some Drums are Guitars. (II) Some Violins are Pianos.
Neither conclusion (I) nor (II) is true.
For conclusion (I), there is no positive link given between Drums and Guitars. The only statement about Drums is "No Violins are Drums", which separates Drums from Violins, but Drums may lie wholly outside Guitars. So "Some Drums are Guitars" is not established.
For conclusion (II), "Some Guitars are Violins" tells us only that part of the Guitars overlap with Violins. Since all Pianos are Guitars but Pianos need not be the very Guitars that are Violins, the Violins may avoid the Piano region entirely. So "Some Violins are Pianos" is not established.
As neither conclusion is forced by the statements, neither is true.
Hence, the answer is that neither conclusion (I) nor (II) is true.
Similar Questions
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 vehicles are trucks.
Some vehicles are lorries.
Some trucks are buses.
Conclusions:
(I) Some vehicles are buses.
(II) Some trucks are lorries.
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 bags are cars.
All aeroplanes are cars.
Conclusions:
(I) Some bags are aeroplanes.
(II) Some cars are aeroplanes.
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 watches are shirts.
All watches are pants.
Some pants are belts.
Conclusions:
(I) Some belts are watches.
(II) Some pants are shirts.
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.
