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
The statements below are followed by conclusions labeled I, II and III. Assuming that the information in the statements is true, even if it appears to be at variance with generally established facts, decide which conclusion(s) logically and definitely follow(s) from the information given in the statements.
Statements:
All twenty are thirty.
All thirty are forty.
All forty are sixty.
All sixty are seventy.
Conclusions:
I. Some forty are thirty.
II. Some seventy are sixty.
III. No thirty is twenty.The statements below are followed by two conclusions labelled I and II. Assuming that the information in the statements is true, even if it appears to be at variance with generally established facts, decide which conclusion(s) logically and definitely follow(s) from the information given in the statements.
Statements:
All Strong are animals.
Some animals are Tigers.
All Tigers are Sharp.
Conclusions:
I. Some Strong are Sharp.
II. No Strong is Sharp.The statements below are followed by conclusions labelled I, II and III. Assuming that the information in the statements is true, even if it appears to be at variance with generally established facts, decide which conclusion(s) logically and definitely follow(s) from the information given in the statements.Statements:
Some women are weak.
Some weaks are female.
All female are iron.
All iron are gold.Conclusions:
I. Some weaks are iron.
II. Some gold are weaks.
III. Some women are female.
The statements below are followed by two conclusions labeled I and II. Assuming that the information in the statements is true, even if it appears to be at variance with generally established facts, decide which conclusion(s) logically and definitely follow(s) from the information given in the statements.Statements:
Some teaspoons are glasses.
All teddies are teaspoons.
Conclusions:
I. Some teddies are glasses.
II. Some glasses are teddies.
The statements below are followed by two conclusions labeled I and II. Assuming that the information in the statements is true, even if it appears to be at variance with generally Established facts, decide which conclusion(s) logically and definitely follow(s) from the Information, Given in the Statements.
Statements:
All bangles are rings.
Some rings are toys.
Some toys are dolls.
Conclusions:
I. Some rings are bangles.
II. Some dolls are rings.
