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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 B and F are not selected in the team then who should definitely be selected?
  • a)
    C
  • b)
    E
  • c)
    D
  • d)
    A
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...
Explanation:

To determine who should definitely be selected when B and F are not selected, we need to analyze the given conditions and constraints:

(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.

Analysis:

We know that B and F are not selected in the team. Let's consider each option one by one to determine who should definitely be selected:

Option A: C
If C is selected, then E should also be selected while F should be rejected. However, since F is not selected, we cannot select C. Therefore, option A is not correct.

Option B: E
If E is selected, then B cannot be selected as per condition (ii). However, since B is not selected, E can be selected. Therefore, option B is a possibility.

Option C: D
If D is selected, then F cannot be selected as per condition (i). However, since F is not selected, D can be selected. Therefore, option C is a possibility.

Option D: A
If A is selected, then exactly one from B and C should also be selected. However, since B is not selected, we cannot select A. Therefore, option D is not correct.

Conclusion:

From the analysis, we can conclude that when B and F are not selected, the person who should definitely be selected is E. Therefore, option B is the correct answer.
Free Test
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.
Possible teams without B and F are:
From Case (i) (C, E), (D, E)
From Case (ii) (A, C, E), (C, E, D)
From Case (iii) A, C, E, D
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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 B and F are not selected in the team then who should definitely be selected?a)Cb)Ec)Dd)ACorrect answer is option 'B'. Can you explain this answer?
Question Description
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 B and F are not selected in the team then who should definitely be selected?a)Cb)Ec)Dd)ACorrect answer is option 'B'. 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 B and F are not selected in the team then who should definitely be selected?a)Cb)Ec)Dd)ACorrect answer is option 'B'. 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 B and F are not selected in the team then who should definitely be selected?a)Cb)Ec)Dd)ACorrect answer is option 'B'. Can you explain this answer?.
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