GATE Electrical 2023 | GA Question: 6

Question

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?

1. All those students who would not be eligible to vote in the college elections would certainly belong to the Department of Human Sciences.
2. None of the students from departments other than Human Sciences failed to complete the registration process within the due time.
3. All the eligible voters would certainly be students who are not from the Department of Human Sciences. 

 

• A. (i) and (ii) 
• B. (i) and (iii)
• C. only (i) 
• D. only (iii)

Answer 1

The passage mentions two key points:

1. Students who have successfully completed the registration process are eligible to vote in the upcoming college elections.
2. None of the students from the Department of Human Sciences had completed the registration process.

Given these points, we can logically infer that none of the students from the Department of Human Sciences are eligible to vote in the college elections because they didn't complete the registration process. This means that all the eligible voters, by necessity, must be students who are not from the Department of Human Sciences.

In other words, if you didn't complete the registration process, you are not eligible to vote. Since no students from the Department of Human Sciences completed the registration process, they are not eligible to vote. Therefore, all eligible voters must belong to departments other than the Department of Human Sciences.

Let’s clarify each option.

"All those students who would not be eligible to vote in the college elections would certainly belong to the Department of Human Sciences."

This statement is not correct based on the information provided in the passage. While it is true that no students from the Department of Human Sciences completed the registration process, we cannot infer with certainty that all students who would not be eligible to vote belong to this department. There could be other reasons for ineligibility, such as not meeting academic or other criteria, which are not mentioned in the passage.

"None of the students from departments other than Human Sciences failed to complete the registration process within the due time."

Based on the information provided in the passage, we cannot definitively conclude whether students from departments other than Human Sciences completed the registration process on time or not. The passage only mentions the status of students from the Department of Human Sciences and does not provide information about other departments.

Therefore, this statement cannot be logically inferred from the passage.

“All the eligible voters would certainly be students who are not from the Department of Human Sciences.”

Based on the information provided in the passage, where it is stated that none of the students from the Department of Human Sciences completed the registration process, we can logically infer that all eligible voters (those who completed the registration process) would certainly be students who are not from the Department of Human Sciences.

So, the statement "All the eligible voters would certainly be students who are not from the Department of Human Sciences" is indeed correct and can be logically inferred from the information given in the passage.

Correct Answer: D