Aspire Faculty ID #16502 · Topic: NIMCET 2009 · Just now
NIMCET 2009

After months of talent searching for an administrative assistant to the president of the college the field of applicants had been narrowed down to five (A, B, C, D and E). It was announced that the finalist would be chosen after a series of all day group personal interviews. The examining committee agreed upon the following procedure. 1. The interviews will be held once a week. 2. Three candidates will appear at any all day interview session. 3. Each candidate will appear at least once. 4. If it becomes necessary to call applicants for additional interviews, no more than one such applicant should be asked to appear the next week. 5. Because of a detail given in the written applications, it was agreed that whenever candidate B appears, A should also be present. 6. Because of travel difficulties, it was agreed that C will appear for only one interview.
 
At the first interview, the following candidates appear: A, B, and D. Which of the following combinations can be called for the interview to be held the next week?

Solution

C appears only once → allowed now

If B appears → A must appear

Only one repeated candidate allowed

Only CDE satisfies all conditions.

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