Logical Inference from 'Some Humans' Statement
The question requires identifying a statement that is certainly true if the premise 'Some humans are intelligent' is true. This premise asserts the existence of at least one individual who is both human and intelligent.
Understanding the Premise
- Premise: 'Some humans are intelligent.'
- This statement means there is an overlap between the group of 'humans' and the group of 'intelligent beings'. At least one entity exists that fits both descriptions.
Deriving Conclusions
- The premise 'Some humans are intelligent' can be logically converted. If we know that some members of category A belong to category B, it necessarily follows that some members of category B belong to category A.
- Applying this to the premise: If Some humans are intelligent, then it must be true that Some intelligent beings are humans.
Evaluating Options
- Option 1 ('No human is intelligent') contradicts the premise.
- Option 2 ('All humans are intelligent') is not guaranteed; only 'some' are confirmed.
- Option 3 ('Some non-humans are intelligent') is irrelevant, as the premise focuses only on humans.
- Option 4 ('Some intelligent beings are humans') is the direct and certain logical inference derived from the premise.
Important Questions from Syllogism
Statements:
1. All heroes are winners.
2. All winners are lucky people.
Inferences:
I. All lucky people are heroes.
II. Some lucky people are heroes.
III. Some winners are heroes.
Which of the above inferences can be logically deduced from statements 1 and 2?Human beings are one among many creatures that inhabit an imagined world. In this imagined world, some creatures are cruel. If in this imagined world, it is given that the statement “Some human beings are not cruel creatures” is FALSE, then which of the following set of statement(s) can be logically inferred with certainty?
(i) All human beings are cruel creatures.
(ii) Some human beings are cruel creatures.
(iii) Some creatures that are cruel are human beings.
(iv) No human beings are cruel creatures.- Given below are four statements.
Statement 1: All students are inquisitive.
Statement 2: Some students are inquisitive.
Statement 3: No student is inquisitive.
Statement 4: Some students are not inquisitive.
From the given four statements, find the two statements that CANNOT BE TRUE simultaneously, assuming that there is at least one student in the class. Given below are two statements and four conclusions drawn based on the statements.
Statement 1: Some bottles are cups.
Statement 2: All cups are knives.
Conclusion I: Some bottles are knives.
Conclusion II: Some knives are cups.
Conclusion III: All cups are bottles.
Conclusion IV: All knives are cups.
Which one of the following options can be logically inferred?Given below are three statements and four conclusions drawn based on the statements.
Statement 1: Some engineers are writers.
Statement 2: No writer is an actor.
Statement 3: All actors are engineers.Conclusion I: Some writers are engineers.
Conclusion II: All engineers are actors.
Conclusion III: No actor is a writer.
Conclusion IV: Some actors are writers.
Which one of the following options can be logically inferred?
