Statements:
Some tables are chairs.
Some chairs are beds.
All beds are wardrobes.
Conclusions:
I. No table is a wardrobe.
II. All tables are wardrobes.
Syllogism Reasoning: Statements and Conclusions
This question involves logical reasoning, specifically a type of problem known as a syllogism. We are given three statements that we must assume are true, even if they seem unusual. Our task is to determine which of the two provided conclusions logically follow from these statements.
Analyzing the Statements
Let's break down the information given in the statements:
- Statement 1: Some tables are chairs. This means there is at least one table that is also a chair. There might be tables that are not chairs, and chairs that are not tables.
- Statement 2: Some chairs are beds. This means there is at least one chair that is also a bed. There might be chairs that are not beds, and beds that are not chairs.
- Statement 3: All beds are wardrobes. This means every single bed is also a wardrobe. If something is a bed, it must be a wardrobe. A wardrobe might exist that is not a bed.
Evaluating the Conclusions
Now, let's examine the conclusions based on the statements:
Conclusion I: No table is a wardrobe.
Does this conclusion necessarily follow? Let's see. We know that some tables are chairs (Statement 1) and some chairs are beds (Statement 2). We also know all beds are wardrobes (Statement 3).
Consider the chairs that are tables (from S1) and the chairs that are beds (from S2). These two groups of chairs might be completely separate. Even if they weren't, the connection doesn't force a direct relationship (or lack thereof) between tables and wardrobes.
It's possible for the group of chairs that are tables to also overlap with wardrobes. For example:
- Let's say Chair A is a table (S1).
- Let's say Chair B is a bed (S2).
- All beds are wardrobes (S3), so Chair B (being a bed) is also a wardrobe.
This setup doesn't prevent Chair A (the table-chair) from also being a wardrobe. We could imagine a scenario where a table is a chair, that same chair is also a bed, and therefore it is a wardrobe. In such a case, "No table is a wardrobe" would be false.
Since we can find a situation where a table *could* be a wardrobe (even indirectly through chairs and beds), the conclusion "No table is a wardrobe" does not logically follow with certainty.
Conclusion II: All tables are wardrobes.
Does this conclusion necessarily follow? Let's analyze. We know some tables are chairs (S1). We don't know anything about tables that are *not* chairs. Statement 1 only tells us about a portion of tables and chairs.
Even for the tables that *are* chairs, we cannot guarantee they are wardrobes. A table could be a chair (S1), but that chair might not be a bed (S2), and therefore it doesn't necessarily fall under the category of wardrobes (S3).
For example, consider a table that is a chair, but this chair is not a bed. Since it's not a bed, Statement 3 (All beds are wardrobes) doesn't apply to it. This table-chair might not be a wardrobe at all.
Because we know only *some* tables are chairs, and the link to wardrobes is indirect and partial, we cannot conclude that *all* tables must be wardrobes. Therefore, the conclusion "All tables are wardrobes" does not logically follow.
Final Determination
Based on the analysis, neither Conclusion I nor Conclusion II can be definitively proven true using only the provided statements. There are possible scenarios consistent with the statements where each conclusion could be false.
Thus, the correct option is that neither conclusion logically follows.
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.
