Statements:
No rugs are lamps.
No doors are rugs.
Conclusions:
(I) No doors are lamps.
(II) Some lamps are doors.
Syllogism Analysis: Statements and Conclusions
This problem requires analyzing the logical relationship between sets based on given statements to determine if conclusions necessarily follow.
Statement Analysis
- Statement 1: \(No rugs are lamps.\) This means the set of 'rugs' and the set of 'lamps' are completely separate; they do not overlap at all.
- Statement 2: \(No doors are rugs.\) This means the set of 'doors' and the set of 'rugs' are also completely separate; they do not overlap.
Conclusion Analysis
We need to see if the conclusions about the relationship between 'doors' and 'lamps' are guaranteed by the statements.
- Conclusion (I): \(No doors are lamps.\) The statements only establish that both 'doors' and 'lamps' are separate from 'rugs'. They do not provide any information about whether 'doors' and 'lamps' overlap or not. It is possible they are separate, but it's also possible they overlap. Therefore, this conclusion does not necessarily follow.
- Conclusion (II): \(Some lamps are doors.\) Similar to conclusion (I), the statements do not give enough information to confirm or deny any overlap between 'lamps' and 'doors'. This conclusion is also not guaranteed. Furthermore, it contradicts conclusion (I), which we already determined is not necessarily true.
Final Determination
Since neither Conclusion (I) nor Conclusion (II) can be logically derived with certainty from the given statements, neither conclusion follows.
Similar Questions
Consider the given statements true and decide which of the given conclusion(s) logically follow(s) from the statements.
Statements:
1. All reds are yellows.
2. Some yellow are not greens.
Conclusions:
1. Some yellow are reds
2. All yellow are greens
Consider the given statements to be true and decide which of the conclusions logically follow(s) from the given statements.
Statement:
All fruits are trees. Some trees are birds.
Conclusions:
1. Some birds are trees.
2. Some trees are fruits.
Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts and decide which conclusion(s) logically follow(s) from the given statements.
Statements:
Some cars are bikes.
All bikes are trucks.
Conclusions:
(I) Some trucks are cars.
(II) All trucks are cars.Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts and decide which conclusion(s) logically follow(s) from the given statements.
Statements:
Some gold are silver.
Some silver are diamonds.
Conclusions:
(I) Some diamonds are gold.
(II) Some silver are gold.Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts and decide which conclusion(s) logically follow(s) from the given statements.
Statements:
Some bulbs are sands.
All bulbs are candles.
Conclusion:
(I) Some candles are bulbs.
(II) No candle is a sand.
Consider the given statement to be true and decide which of the conclusions logically follows (s) from the statements.
Statements:
Some angels are gods.
All living being are gods.
Conclusions:
1. Some gods are angels.
2. Some living beings are gods.Consider the given statement as true and decide which of the given conclusions can definitely be drawn from the given statements.
Statements:
Dhoni is a good batsman.
Batsman are smart.
Conclusions:
1. All smart people are batsman
2. Dhoni is smart.Given below are two statement, followed by two conclusion, I and II. You have to consider the statement to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow(s) from the given statements.
Statement 1: No quadrilaterals are polygons.
Statement 2: All polygons are rhombuses.
Conclusion I: Some rhombuses are quadrilaterals.
Conclusion II: Some rhombuses are polygons.Consider the given statement to be true and decide which of the given conclusions can definitely be drawn from the given statements.
Statements:
Some lawyers are females. Some females are mothers.
Conclusion:
1. Some mothers are females.
2. Some lawyers are mothers.Consider the given statements to be true and decide which of the given conclusions can definitely be drawn from the statements.
Statements:
All sharks are fish. No fish is a snake.
Conclusions:
1. No snake is a shark.
2. No shark is a snake.
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.
