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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. If team size is 3 then which one of the following can not be a part of the team?
  • a)
    B
  • b)
    A
  • c)
    F
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Direction:At Pioneer Career Kolkata six studentsA, B, C, D, E and Fasp...
Solution:

Given conditions:
- If the team size is less than 4 then D and F cannot be selected together.
- If B is selected then D should also be selected while E should be rejected.
- If A is selected then exactly one from B and C should also be selected.
- If C is selected then E should also be selected while F should be rejected.

We need to form a team of 3 people.

Let's consider the possibilities of team formation:

1. A is selected:
- One from B and C should also be selected.
- Only one more person is needed.
- D and F cannot be selected together.
- E is already rejected if B is selected.
- So, the only possible combination is A, B, and F.
- Therefore, B and F cannot be rejected.

2. B is selected:
- D should also be selected while E should be rejected.
- Only one more person is needed.
- D and F cannot be selected together.
- So, the only possible combination is B, D, and C.
- Therefore, B cannot be rejected.

3. C is selected:
- E should also be selected while F should be rejected.
- Only one more person is needed.
- D and F cannot be selected together.
- So, the only possible combination is C, E, and A.
- Therefore, C cannot be rejected.

4. D is selected:
- Two more people are needed.
- A should be selected along with either B or C.
- E and F cannot be selected together.
- So, the possible combinations are D, A, and B or D, A, and C.
- Therefore, D cannot be rejected.

5. E is selected:
- Two more people are needed.
- A should be selected along with either B or C.
- D and F cannot be selected together.
- So, the possible combinations are E, A, and B or E, A, and C.
- Therefore, E cannot be rejected.

6. F is selected:
- Two more people are needed.
- A should be selected along with either B or C.
- D and F cannot be selected together.
- So, the possible combinations are F, A, and B or F, A, and C.
- Therefore, F cannot be rejected.

Therefore, the only person who cannot be a part of the team of 3 is F. Hence, the correct answer is option C.
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Community 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 case (ii) we can say that F can not be a part of the team.
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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.If team size is 3 then which one of the following can not be a part of the team?a)Bb)Ac)Fd)None of theseCorrect answer is option 'C'. Can you explain this answer?
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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.If team size is 3 then which one of the following can not be a part of the team?a)Bb)Ac)Fd)None of theseCorrect answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 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.If team size is 3 then which one of the following can not be a part of the team?a)Bb)Ac)Fd)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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.If team size is 3 then which one of the following can not be a part of the team?a)Bb)Ac)Fd)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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