All professors are researchers Which of the given conclusions is logically valid and is inferred from the above arguments:
Some scientists are professors
Premises Summary
The core statements (premises) provided are:
- All professors are researchers.
- Some scientists are professors.
Reasoning Process
We can determine the valid conclusion by linking the premises:
- Consider the group defined in the second premise: There exists at least one person who is both a scientist and a professor.
- Apply the rule from the first premise: Since every professor is also a researcher, the individuals identified in the previous step (who are scientists and professors) must necessarily also be researchers.
- Synthesize the information: This establishes that there are individuals who belong to both the category of scientists and the category of researchers.
Inferred Conclusion
Based on this logical deduction, the conclusion that is necessarily true is that some researchers are scientists.
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.
