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 tapes are glue.
Some glue are paints.
All paints are computers.
Conclusions:
I. Some tapes are paints.
II. All glue are paints.
III. Some glue are computers.
Logical Reasoning: Syllogism Analysis
Statement Analysis
We are given three premises to assume as true:
- Premise 1: Some tapes are glue. (This means there is an overlap between the set of tapes and the set of glue.)
- Premise 2: Some glue are paints. (This means there is an overlap between the set of glue and the set of paints.)
- Premise 3: All paints are computers. (This means the set of paints is entirely contained within the set of computers.)
Conclusion Analysis
Let's evaluate each conclusion based on the premises:
-
Conclusion I: Some tapes are paints.
- From Premise 1, some tapes overlap with glue.
- From Premise 2, some glue overlaps with paints.
- However, the overlap between tapes and glue does not necessarily overlap with paints. There's no guarantee that any tapes are paints.
- Therefore, Conclusion I does not necessarily follow.
-
Conclusion II: All glue are paints.
- Premise 2 explicitly states "Some glue are paints," not all.
- Therefore, Conclusion II contradicts Premise 2 and does not follow.
-
Conclusion III: Some glue are computers.
- From Premise 2, we know that there exists at least one glue that is also a paint (Some glue are paints).
- From Premise 3, we know that every paint is a computer (All paints are computers).
- Therefore, the glue that is a paint must also be a computer. This means some glue are computers.
- Conclusion III logically follows from Premises 2 and 3.
Final Decision
Only Conclusion III logically follows from the given statements. This corresponds to Option 4.
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.
