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
- Consider the following sentences:
All benches are beds .No bed is a bulb. Some bulbs are lamps.
Which of the following can be inferred?
i. Some beds are lamps.
ii. Some lamps are beds. Given below are two statements followed by two conclusions. Assuming these statements to be true, decide which one logically follows.
Statements:
I. No manager is a leader.
II. All leaders are executives.
Conclusions:
I. No manager is an executive.
II. No executive is a manager.Given below are two statements 1 and 2, and two conclusions I and II.
Statement 1: All entrepreneurs are wealthy.
Statement 2: All wealthy are risk seekers.
Conclusion I: All risk seekers are wealthy.
Conclusion II: Only some entrepreneurs are risk seekers.
Based on the above statements and conclusions, which one of the following options is CORRECT?
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.
