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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.
Q. Which of the following could never be part of same team
  • a)
    A & D
  • b)
    B & C
  • c)
    D & F
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Direction:At Pioneer Career Kolkata six studentsA, B, C, D, E and Fasp...
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.
From the available 3 cases we can say that B and C can never be together.
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Community Answer
Direction:At Pioneer Career Kolkata six studentsA, B, C, D, E and Fasp...
C) C, E, F
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Direction:At Pioneer Career Kolkata six studentsA, B, C, D, E and Faspire 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 isless than 4 then D and Fcannot be selected together.(ii) IfBis selected thenDshould also be selected whileEshould be rejected.(iii) IfAis selected then exactly one fromB and Cshould also be selected.(iv) IfCis selected thenEshould also be selected whileFshould be rejected.Q.Which of the following could never be part of same teama)A & Db)B & Cc)D & Fd)None of theseCorrect answer is option 'B'. Can you explain this answer?
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