Three statements are followed by three conclusions numbered I, II and III. You have to consider these statements to be true, even if they seem to be at variance with commonly known facts. Decide which of the given conclusions logically follow(s) from the given statement. Statements: All lamps are lanterns. All lanterns are torches. All torches are candles. Conclusions: (I) Some candles are lamps (II) All lanterns are lamps (III) No lantern is a lamp
This is a syllogism question. Let's analyze the given statements and conclusions:
Statements:
- All lamps are lanterns.
- All lanterns are torches.
- All torches are candles.
We can represent these statements using Venn diagrams:
Imagine three circles representing lamps, lanterns, and torches. The 'lamps' circle is entirely inside the 'lanterns' circle. The 'lanterns' circle is entirely inside the 'torches' circle. The 'torches' circle is entirely inside the 'candles' circle.
Conclusions:
- (I) Some candles are lamps
- (II) All lanterns are lamps
- (III) No lantern is a lamp
Analysis of Conclusions:
- Conclusion I: This is TRUE. Since all lamps are lanterns, and all lanterns are torches, and all torches are candles, it follows that some candles are lamps. The smallest circle (lamps) is entirely within the largest circle (candles).
- Conclusion II: This is FALSE. The statement "All lanterns are torches" does not imply that all lanterns are lamps. The lamps circle is a subset of the lanterns circle, not the other way around.
- Conclusion III: This is FALSE. This contradicts the first statement "All lamps are lanterns".
Therefore, only conclusion I follows logically from the given statements.
Why other options are incorrect:
- Option 2: Incorrect because only Conclusion I is true.
- Option 3: Correct. Only Conclusion I follows.
- Option 4: Incorrect because Conclusion I follows.
Final Answer: Only conclusion I follows
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.
