Students of all the departments of a college who have successfully completed the registration process are eligible to vote in the upcoming college elections. However, by the time the due date for registration was over, it was found that suprisingly none of the students from the Department of Human Sciences had completed the registration process.
Based only on the information provided above, which one of the following sets of statement(s) can be logically inferred with certainty?
(i) All those students who would not be eligible to vote in the college elections would certainly belong to the Department of Human Sciences.
(ii) None of the students from departments other than Human Sciences failed to complete the registration process within the due time.
(iii) All the eligible voters would certainly be students who are not from the Department of Human Sciences.
The question asks to identify which statements can be logically inferred with certainty based on the provided information about college election eligibility and student registration.
Eligibility Criteria Analysis
The core rules are:
- Eligibility to vote requires successful completion of the registration process.
- No students from the Department of Human Sciences completed the registration process.
Statement (i) Evaluation
Statement: "All those students who would not be eligible to vote in the college elections would certainly belong to the Department of Human Sciences."
- Reasoning: Not being eligible means failing to complete registration. While we know no Human Sciences students registered, the information does not exclude the possibility that students from *other* departments also failed to register. Therefore, a student who is not eligible could be from Human Sciences OR from another department that also failed registration.
- Inference: This statement cannot be inferred with certainty.
Statement (ii) Evaluation
Statement: "None of the students from departments other than Human Sciences failed to complete the registration process within the due time."
- Reasoning: The provided text only states that *none* from Human Sciences registered. It gives no information about the registration status of students from other departments. Some might have failed, or all might have succeeded.
- Inference: This statement cannot be inferred with certainty.
Statement (iii) Evaluation
Statement: "All the eligible voters would certainly be students who are not from the Department of Human Sciences."
- Reasoning: Eligible voters must have completed registration. We are explicitly told that *no one* from the Department of Human Sciences completed registration. Therefore, no student from the Department of Human Sciences can be an eligible voter. All eligible voters must come from departments other than Human Sciences.
- Inference: This statement can be inferred with certainty.
Conclusion
Based on the analysis, only statement (iii) can be logically inferred with certainty.
Important Questions from Logical Inferences
- Which of the following statements about languages and dialects is/are CORRECT?
- A person has a plan to climb a hill to reach the hilltop. She observes that there is a sudden rise in the water level in the stream coming down from the hill. From this she concludes that it must be raining heavily on the hilltop. Therefore, she should postpone her expedition to some later time.
Which one or more of the following kinds of inference does this person’s reasoning involve as per the Nyāya view? - Identify the instance(s) of inductive reasoning from the following options.
A recent survey shows that 65% of tobacco users were advised to stop consuming tobacco. The survey also shows that 3 out of 10 tobacco users attempted to stop using tobacco.
Based only on the information in the above passage, which one of the following options can be logically inferred with certainty?A duck named Donald Duck says “All ducks always lie."
Based only on the information above, which one of the following statements can be logically inferred with certainty?
