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Quiz: Puzzle Test-Selection Based-3

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Number of Questions: 3

Question: 1 -

Directions:

Read the data given below to answer the questions:

The director of a B-school wishes to select four members of a faculty-student committee as representatives to meet with the school's board of directors. The faculty-student committee consist exactly four faculty members - K, L, M and N - and four students - P, Q, R and S. The director can select any of the committee members as representatives as long as he observes the following restrictions:

      (i) The group of four representatives must consist of exactly two faculty members and two students.(ii) Either K or L must be one of the representatives, but K and L cannot both be representatives.
      (iii) If P is a representatives, M must also be a representative.
      (iv) If R is a representatives, L cannot be a representative.

Q: If neither Q nor S is a representative, which of the following is the pair of faculty members who must be representatives?

Options:

  1. L and M

  2. L and N

  3. K and M

  4. K and N

    5. Answer:

    K and M
    Solution:

    If neither Q nor S is a representative, P and R are representatives from students. If R is a representative L cannot be a representative.

    Thus, K is one of the representatives from faculty members as either K or L must be one of the representatives. If P is a representative, M must also be a representative.

    Hence, K and M is the pair of faculty members who must be representatives.

Question: 2 -

Directions:

Read the data given below to answer the questions:

The director of a B-school wishes to select four members of a faculty-student committee as representatives to meet with the school's board of directors. The faculty-student committee consist exactly four faculty members - K, L, M and N - and four students - P, Q, R and S. The director can select any of the committee members as representatives as long as he observes the following restrictions:

      (i) The group of four representatives must consist of exactly two faculty members and two students.(ii) Either K or L must be one of the representatives, but K and L cannot both be representatives.
      (iii) If P is a representatives, M must also be a representative.
      (iv) If R is a representatives, L cannot be a representative.

Q: If L is a representative, which of the following can be the order three representatives?

Options:

  1. K, Q, S

  2. N, S, P

  3. M, Q, R

  4. M, Q, P

    5. Answer:

    M, Q, P
    Solution not available.

Question: 3 -

Directions:

Read the data given below to answer the questions:

The director of a B-school wishes to select four members of a faculty-student committee as representatives to meet with the school's board of directors. The faculty-student committee consist exactly four faculty members - K, L, M and N - and four students - P, Q, R and S. The director can select any of the committee members as representatives as long as he observes the following restrictions:

      (i) The group of four representatives must consist of exactly two faculty members and two students.(ii) Either K or L must be one of the representatives, but K and L cannot both be representatives.
      (iii) If P is a representatives, M must also be a representative.
      (iv) If R is a representatives, L cannot be a representative.

Q: If R is a representative and M is not a representative, the group of representatives would be completely determined if it were also true that

Options:

  1. N is a representative

  2. L is not a representative.

  3. S is not a representative.

  4. P is not a representative

    5. Answer:

    S is not a representative.
    Solution:

    If R is a representative, L cannot be a representative. Also, M is not a representative. So, K and N are the representatives from faculty members.

    From (iii), since M is not a representative, so P cannot be a representative from students.

    Thus, either Q or S is the second representative from students.