Statements:
I. Some lotuses are daisies.
II. No daisy is a rose.
III. All thorns are roses.
Conclusions:
I. No thorn is a daisy.
II. Some roses are lotuses.
Understanding the Statements
This problem requires us to analyze the logical relationship between different categories based on given statements. We need to determine if the conclusions logically follow from these statements.
The given statements are:
- Statement I: Some lotuses are daisies. (This means there is at least one lotus that is also a daisy.)
- Statement II: No daisy is a rose. (This means the categories 'daisy' and 'rose' are completely separate; nothing can be both.)
- Statement III: All thorns are roses. (This means every thorn belongs to the category 'rose'.)
The conclusions to evaluate are:
- Conclusion I: No thorn is a daisy.
- Conclusion II: Some roses are lotuses.
Analyzing Conclusion I: No thorn is a daisy
Let's break down how we can check this conclusion:
- Statement III tells us that All thorns are roses. This means if something is a thorn, it must be a rose. We can think of the set of 'thorns' as being entirely contained within the set of 'roses'.
- Statement II tells us that No daisy is a rose. This means the set of 'daisies' and the set of 'roses' are mutually exclusive; they have no members in common.
- Combining these two facts: Since every thorn is a rose (from III), and no daisy is a rose (from II), it must be true that no thorn can be a daisy. If something were both a thorn and a daisy, it would have to be a rose (because it's a thorn) and also not a rose (because it's a daisy), which is a contradiction.
Therefore, Conclusion I logically follows from the statements.
Analyzing Conclusion II: Some roses are lotuses
Now let's examine the second conclusion:
- Statement I states that Some lotuses are daisies. This establishes an overlap between the 'lotus' category and the 'daisy' category.
- Statement II states that No daisy is a rose. This means the 'daisy' category is completely separate from the 'rose' category.
- From Statement I, we know there are some items that are *both* lotuses and daisies. From Statement II, we know that these items (being daisies) *cannot* be roses.
- However, Statement I only talks about *some* lotuses (the ones that are daisies). It doesn't provide information about the lotuses that are *not* daisies. It's possible that some *other* lotuses (which are not daisies) could be roses. But the given statements do not guarantee this. The statements don't provide enough information to conclude that there must be an overlap between the 'rose' category and the 'lotus' category. It is possible that the set of roses and the set of lotuses are completely separate, or only overlap in ways not described.
Therefore, Conclusion II does not logically follow necessarily from the statements.
Final Conclusion
Based on the analysis, only Conclusion I is guaranteed to be true given the provided statements. Conclusion II is not necessarily true.
Similar Questions
Two statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
No book is a novel.
All novels are diaries.
Conclusions:
I. All diaries can never be books.
II. Some books are diaries.
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 rhombuses are tangents.
All chords are tangents.
Conclusions:
I. Some rhombuses being chords is a possibility.
II. Some tangents are rhombuses.
Three statements are given followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements :
Some C are P.
No C is a T.
All P are S.
Conclusions :
I. All S being C is a possibility.
II. At least some T are not C.
III. Some P are not T's.
Three statements are followed by three conclusions numbered I, II, 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 follows from the given statements.
Statements :
No Mango is a banana.
No banana is a guava.
Some guavas are oranges.
Conclusions :
(I) Some mangoes are oranges.
(II) Some guavas are mangoes.
(III) No orange is a banana.
Three statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
All tigers are fishes.
No elephant is a tiger.
Some deer are tigers.
Conclusions:
I. Some fishes are deer.
II. No elephant is a deer.
III. No deer is a fish.
Three statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statement :
All Bananas are Grapes.
All Papayas are Pineapple.
Some Pineapples are Banana.
Conclusions:
(I) Some Papayas are Grapes.
(II) Some Grapes are Pineapples.
(III) Some Bananas are Papayas.
Two statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
All cups are saucers.
No saucer is a plate.
Conclusions:
I. Some cups are plates.
II. No cup is a plate.
Three statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
Some cubs are trucks.
All trucks are lanterns.
No lanterns are bricks.
Conclusions:
I. Some cubs are lanterns.
II. Some trucks are not bricks.
III. All cubs are trucks.
Two statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
No locks are keys.
Some keys are passwords.
Conclusions:
I. Some passwords are locks.
II. All passwords are locks.
Two statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
Some defects are problems.
Some problems are solutions.
Conclusions:
I. Some defects being solutions is a possibility.
II. No solution is a defect.
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.
