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Question of the Day
K, L, M, N, P, Q, R, S, U and W are the only ten members in a department. There is a proposal to form a team from within the members of the department, subject to the following conditions:

  • A team must include exactly one among P, R, and S.

  • A team must include either M or Q, but not both.

  • If a team includes K, then it must also include L, and vice versa.

  • If a team includes one among S, U, and W, then it must also include the other two.

  • L and N cannot be members of the same team.

  • L and U cannot be members of the same team.

  • The size of a team is defined as the number of members in the team.

  • What could be the size of a team that includes K?
    (1) 2 or 3
    (2) 2 or 4
    (3) 3 or 4
    (4) Only 2
    (5) Only 4

    Solution
    As K is included, L is included. So, N and U cannot be included. As U is not included, S and W are not included. One out of M and Q and one out of P and R will be included.
    Thus, the team will include: K, L, (M or Q) and (P or R).

    Hence, option 5.

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