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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.
(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. What could be the strength of team if A and C are always part of the team?
- a)2
- b)None of these
- c)2 or 3
- d)3 or 4
Correct answer is option 'D'. 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...
To determine the possible strength of the team, let's analyze the given conditions step by step:
(i) If the size of the team is less than 4 then D and F cannot be selected together.
- This means that if the team size is 2 or 3, D and F cannot be selected together.
- So, if A and C are always part of the team, the team size would be at least 3.
- Therefore, the minimum possible strength of the team is 3.
(ii) If B is selected then D should also be selected while E should be rejected.
- This condition implies that if B is in the team, D should also be in the team and E should not be in the team.
- Since the question states that A and C are always part of the team, this condition does not affect the minimum team strength of 3.
(iii) If A is selected then exactly one from B and C should also be selected.
- This means that if A is in the team, either B or C should also be in the team.
- Since the question states that A and C are always part of the team, this condition does not affect the minimum team strength of 3.
(iv) If C is selected then E should also be selected while F should be rejected.
- This condition implies that if C is in the team, E should also be in the team and F should not be in the team.
- Since the question states that A and C are always part of the team, this condition does not affect the minimum team strength of 3.
Based on the given conditions, it is clear that the minimum possible strength of the team is 3. However, the question asks for the possible strength, which means there could be other valid team sizes as well.
- Since A and C are always part of the team, the team should have at least A and C, which makes it a minimum of 2 members.
- Additionally, based on the given conditions, D cannot be selected with F, and B cannot be selected without D.
- Therefore, the possible team strengths could be 2 or 3.
Hence, the correct answer is option 'D' - None of these, as the possible team strength could be 2 or 3.
(i) If the size of the team is less than 4 then D and F cannot be selected together.
- This means that if the team size is 2 or 3, D and F cannot be selected together.
- So, if A and C are always part of the team, the team size would be at least 3.
- Therefore, the minimum possible strength of the team is 3.
(ii) If B is selected then D should also be selected while E should be rejected.
- This condition implies that if B is in the team, D should also be in the team and E should not be in the team.
- Since the question states that A and C are always part of the team, this condition does not affect the minimum team strength of 3.
(iii) If A is selected then exactly one from B and C should also be selected.
- This means that if A is in the team, either B or C should also be in the team.
- Since the question states that A and C are always part of the team, this condition does not affect the minimum team strength of 3.
(iv) If C is selected then E should also be selected while F should be rejected.
- This condition implies that if C is in the team, E should also be in the team and F should not be in the team.
- Since the question states that A and C are always part of the team, this condition does not affect the minimum team strength of 3.
Based on the given conditions, it is clear that the minimum possible strength of the team is 3. However, the question asks for the possible strength, which means there could be other valid team sizes as well.
- Since A and C are always part of the team, the team should have at least A and C, which makes it a minimum of 2 members.
- Additionally, based on the given conditions, D cannot be selected with F, and B cannot be selected without D.
- Therefore, the possible team strengths could be 2 or 3.
Hence, the correct answer is option 'D' - None of these, as the possible team strength could be 2 or 3.
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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 all the three available cases A and C can be a member of the team that has strength 2 or 3 or 4
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 all the three available cases A and C can be a member of the team that has strength 2 or 3 or 4
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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.What could be the strength of team if A and C are always part of the team?a)2b)None of thesec)2 or 3d)3 or 4Correct answer is option 'D'. 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.What could be the strength of team if A and C are always part of the team?a)2b)None of thesec)2 or 3d)3 or 4Correct answer is option 'D'. 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.What could be the strength of team if A and C are always part of the team?a)2b)None of thesec)2 or 3d)3 or 4Correct answer is option 'D'. 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.What could be the strength of team if A and C are always part of the team?a)2b)None of thesec)2 or 3d)3 or 4Correct answer is option 'D'. Can you explain this answer?.
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.What could be the strength of team if A and C are always part of the team?a)2b)None of thesec)2 or 3d)3 or 4Correct answer is option 'D'. 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.What could be the strength of team if A and C are always part of the team?a)2b)None of thesec)2 or 3d)3 or 4Correct answer is option 'D'. 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.What could be the strength of team if A and C are always part of the team?a)2b)None of thesec)2 or 3d)3 or 4Correct answer is option 'D'. Can you explain this answer?.
Solutions 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.What could be the strength of team if A and C are always part of the team?a)2b)None of thesec)2 or 3d)3 or 4Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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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.What could be the strength of team if A and C are always part of the team?a)2b)None of thesec)2 or 3d)3 or 4Correct answer is option 'D'. Can you explain this answer?, a detailed solution 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.What could be the strength of team if A and C are always part of the team?a)2b)None of thesec)2 or 3d)3 or 4Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of 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.What could be the strength of team if A and C are always part of the team?a)2b)None of thesec)2 or 3d)3 or 4Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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