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:
A. All shirts are curtains.
B. Some shirts are pens.
C. Some pens are cups.
Conclusions:
I. No cups are shirts.
II. No cups are curtains. III. No curtains are pens.
This is a Syllogism question. We need to analyze the given statements and determine which conclusions logically follow.
Statements:
- A. All shirts are curtains.
- B. Some shirts are pens.
- C. Some pens are cups.
Conclusions:
- I. No cups are shirts.
- II. No cups are curtains.
- III. No curtains are pens.
Analysis:
Let's represent the statements using Venn diagrams. Statement A indicates that the set of shirts is entirely within the set of curtains. Statement B shows an overlap between shirts and pens. Statement C shows an overlap between pens and cups. There is a possibility of overlap between cups, pens, shirts, and curtains.
Conclusion I (No cups are shirts): This is incorrect. Since some shirts are pens (B) and some pens are cups (C), there's a possibility that some cups are also shirts. The Venn diagram doesn't preclude this possibility.
Conclusion II (No cups are curtains): This is also incorrect. Because all shirts are curtains (A), and some shirts are pens (B) and some pens are cups (C), some cups could indirectly be related to curtains through the shirts and pens. The diagrams don't show a complete separation.
Conclusion III (No curtains are pens): This is incorrect. Because some shirts are pens (B) and all shirts are curtains (A), it implies there's an overlap between curtains and pens. Therefore, it's false to say that there are no curtains which are pens.
Therefore, none of the conclusions logically follow from the given statements.
Why other options are incorrect:
- Option 2, 3, and 4 are incorrect because they suggest at least one conclusion follows, while the analysis shows that none do.
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.
