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:
Some students are players.
All players are male.
Conclusions:
I. All males are players.
II. Some males are students.
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:
No creative is an employer.
All experts are creative.
All workers are experts.
Conclusions:
I. No employer is an expert.
II. No worker is an employer.
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 actors are choreographers.
All choreographers are producers.
Not a single producer is a director.
Conclusions:
I. Some actors are directors.
II. Not a single actor is a director.
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 :
1. All flowers are tulips.
2. No tulips are whites.
Conclusions :
I. All tulips are flowers.
II. Some tulips are whites.
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 rats are dogs.
Some rats are hens.
Conclusions:
I. Some rats are dogs.
II. Some hens are rats.
