Directions : In each of the following questions a statement is given, followed by three conclusions. Give answer : Statement : The professor announced in the class that the next periodical examination will be held on 15th of the next month. Assumptions : I. All the students may appear in the examination. II. The college will remain open on 15th of the next month. III. The students can study till 15th of the next month to pass the examination.

The correct answer is: Only II is implicit.

The professor’s announcement that the next periodical examination will be held on the 15th of the next month implies that the college will remain open on that day. This is because the examination cannot be held if the college is closed. However, the announcement does not imply that all the students may appear in the examination or that the students can study till the 15th of the next month to pass the examination. It is possible that some students may be absent on the day of the examination due to illness or other reasons. It is also possible that some students may not be able to complete their studies by the 15th of the next month.

Here are some additional details about each of the assumptions:

• Assumption I: All the students may appear in the examination.
  This assumption is not implicit in the professor’s announcement. It is possible that some students may be absent on the day of the examination due to illness or other reasons.
• Assumption II: The college will remain open on 15th of the next month.
  This assumption is implicit in the professor’s announcement. The examination cannot be held if the college is closed.
• Assumption III: The students can study till 15th of the next month to pass the examination.
  This assumption is not implicit in the professor’s announcement. It is possible that some students may not be able to complete their studies by the 15th of the next month.