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 surprisingly 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.

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

Hint:

When interpreting logical inference questions, focus only on facts explicitly mentioned in the passage. Do not assume information about other groups unless clearly stated.

Answer 1

The Correct Option is D

Step 1: Recall the given fact.
It is stated that none of the students from the Department of Human Sciences completed the registration process. This means: - All Human Sciences students are ineligible to vote. - Eligible voters must come only from other departments.
Step 2: Examine statement (i).
(i) says: “All those students who would not be eligible to vote in the college elections would certainly belong to Human Sciences.” This is not true, because some students from other departments might also have failed to register, but we don’t have data about that. Hence (i) cannot be inferred with certainty.
Step 3: Examine statement (ii).
(ii) says: “None of the students from departments other than Human Sciences failed to complete the registration process.” We are not told this. Some students in other departments might have failed too. No certainty here.
Step 4: Examine statement (iii).
(iii) says: “All the eligible voters would certainly be students who are not from Human Sciences.” This is true, since Human Sciences students completed no registrations, making them all ineligible. Thus only non-Human Sciences students could be voters. Final Answer: \[ \boxed{\text{only (iii)}} \]