Statements:
All kings are bombs.
No parrots are kings.
Conclusions:
(I) Some bombs are not parrots.
(II) Some bombs are kings.
Statement Analysis
We are given two statements:
- Statement 1: All kings are bombs.
- Statement 2: No parrots are kings.
We need to determine if the conclusions logically follow from these statements.
Conclusion Evaluation
Conclusion (I): Some bombs are not parrots.
From Statement 1, we know that the set of 'kings' is entirely contained within the set of 'bombs'.
From Statement 2, we know that the set of 'kings' and the set of 'parrots' are completely separate (they have no members in common).
Since all kings are bombs, and no kings are parrots, it logically follows that the bombs which are kings cannot be parrots. Therefore, there exist bombs that are not parrots. Conclusion (I) follows.
Conclusion (II): Some bombs are kings.
Statement 1 states: "All kings are bombs."
Assuming that the category 'kings' is not empty (which is a standard logical convention for such problems), this statement directly implies that if something is a king, it is also a bomb.
Therefore, the set of kings is a subset of the set of bombs. This means there are bombs that are also kings. Conclusion (II) follows.
Final Decision
Both Conclusion (I) and Conclusion (II) logically follow 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.
