GATE 2023 ES – Question 6
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.
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Show answer and explanation
Correct answer: (D) only (iii)
Explanation
Eligible voters are those who completed registration, and no Human Sciences student did, so every eligible voter is from another department: (iii) holds. Students of other departments may also have failed to register, so (i) and (ii) do not follow.
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