Grouping and Team Formation

Grouping and Team Formation

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Situation Reaction Test

Direction: At Pioneer Career Kolkata six students A, B, C, D, E and F aspire to be a member of organizing team of New Year Party The team should have at least two people with following conditions.
(i) If the size of the team is less than 4 then D and F cannot be selected together.
(ii) If B is selected then D should also be selected while E should be rejected.
(iii) If A is selected then exactly one from B and C should also be selected.
(iv) If C is selected then E should also be selected while F should be rejected.

  1. If the team selected is of the maximum possible size, then who is/are definitely not selected in the team?








  1. View Hint View Answer Discuss in Forum

    Lets consider the different cases here
    Case (i) Teams with 2 members :
    A cannot be a member of any such team as otherwise at least one of B and C must be selected ( From condition (ii) and if B is selected then D also and if C is selected then E also hence in this case number of teams would be more than Possible teams are:
    (B, D), (C, E), (D, E ) AND (E, F)
    Case (ii) Teams with 3 members : Possible teams with 3 members are (A, C, E), (A, B, D), (C, E, D)
    Case (iii) Teams with 4 members : Possible teams with 4 members are (A, B, D, F), (A, C, E, D)
    Team with 5 or 6 members is not possible.

    Correct Option: D

    Lets consider the different cases here
    Case (i) Teams with 2 members :
    A cannot be a member of any such team as otherwise at least one of B and C must be selected ( From condition (ii) and if B is selected then D also and if C is selected then E also hence in this case number of teams would be more than Possible teams are:
    (B, D), (C, E), (D, E ) AND (E, F)
    Case (ii) Teams with 3 members : Possible teams with 3 members are (A, C, E), (A, B, D), (C, E, D)
    Case (iii) Teams with 4 members : Possible teams with 4 members are (A, B, D, F), (A, C, E, D)
    Team with 5 or 6 members is not possible.
    Maximum possible size is 4 then from case (iii) we can say that all of them could be a member of this team.

Direction: 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 :
(i) A team must include exactly one among P, R and S.
(ii) A team must include either M or Q but not both.
(iii) If a team include K, then it must also include L, and vice versa.
(iv) If a team include one among S, U and W then it must also include the other two.
(v) L and N cannot be members of the same team. L and U cannot be members of the same team
(vi) The size of a team is defined as the number of members in the team.

  1. Who cannot be a member of a team of size 3?










  1. View Hint View Answer Discuss in Forum

    On the basis of above given question , we can say that
    A team of size 3 has to have one of the M and Q and one of the P & R. The only other member that can be selected all alone is N

    Correct Option: A

    On the basis of above given question , we can say that
    A team of size 3 has to have one of the M and Q and one of the P & R. The only other member that can be selected all alone is N
    L cannot be selected as K has to be selected with him and then the total member will increase to 4.

  1. Who can be a member of a team of size 5?










  1. View Hint View Answer Discuss in Forum

    Form the above answer M is the one of the options given in question .

    Correct Option: C

    Form the above answer M is the one of the options given in question .Hence , M is the member of a team of size 5 .

  1. What would be the size of the largest possible team?










  1. View Hint View Answer Discuss in Forum

    As per the given above question ,
    Since S, U and W come together but there is no restriction with S hence if S is include the team will have S, U, W, M or Q, N.

    Correct Option: D

    As per the given above question ,
    Since S, U and W come together but there is no restriction with S hence if S is include the team will have S, U, W, M or Q, N.
    This is the above largest possible team with 5 members.

  1. In how many ways a team can be constituted so that the team includes N?










  1. View Hint View Answer Discuss in Forum

    Given in the question ,
    If the team includes N, then it does not include L and K.
    One out of M and Q can be include and one out of P,S and R can be included. If S is a member, so are U and W will also be member.
    So we can select one out of M and Q in 2 ways

    Correct Option: E

    Given in the question ,
    If the team includes N, then it does not include L and K.
    One out of M and Q can be include and one out of P,S and R can be included. If S is a member, so are U and W will also be member.
    So we can select one out of M and Q in 2 ways
    And we can select one out of P, S and R in 3 ways
    Hence total number of ways = 2 x 3 = 6 ways.