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Study the following information carefully and answer the questions below.
A team of five is to be selected from amongst five boys A, B, C, D and E and four girls P, Q, R and S. Some criteria for selection are—
●     A and S have to be together
●     P cannot be put with R
●     D and Q cannot go together
●     C and E have to be together
●     R cannot be put with B
Unless otherwise stated, these criteria are applicable to all questions below.
Q. If R be one of the members, the other members of the team are—
  • a)
    PSAD
  • b)
    QSAD
  • c)
    QSCE
  • d)
    SACE
Correct answer is option 'D'. Can you explain this answer?
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If R is selected P cannot be selected, therefore option PSAD is wrong. D and Q cannot go together. So, QSAD is wrong. S and A have to be together. So, QSCE is wrong. Now, the team combination will be SACE
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Criteria for Selection
To solve the problem, we must adhere to the selection criteria given:
- A and S must be together.
- P cannot be with R.
- D and Q cannot be together.
- C and E must be together.
- R cannot be with B.
Understanding the Constraints
1. A and S Together: If A is chosen, S must also be included.
2. P and R: If R is included, P cannot be.
3. D and Q: If D is included, Q cannot be, and vice versa.
4. C and E Together: If C is chosen, E must also be included.
5. R and B: If R is included, B cannot be.
Considering R as a Member
Since R is included, we analyze the options for the remaining four members:
- P cannot be included (due to the rule that P cannot be with R).
- B cannot be included (due to the rule that R cannot be with B).
Thus, we can only select from A, S, C, D, and E.
Forming Valid Combinations
Now, we can explore the valid combinations keeping in mind the criteria:
- If we include A and S (since they must be together), we have:
- A, S (already selected)
- C and E (must be together)
This gives us a valid team: A, S, C, E, R.
The remaining members are not valid due to previous exclusions:
- D cannot be selected as it would exclude Q, but Q is not necessary here.
Conclusion
Thus, the only valid selection that includes R while adhering to all the rules is:
A, S, C, E, R.
This corresponds to option D (SACEC).
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Study the following information carefully and answer the questions below.A team of five is to be selected from amongst five boys A, B, C, D and E and four girls P, Q, R and S. Some criteria for selection are— A and S have to be together P cannot be put with R D and Q cannot go together C and E have to be together R cannot be put with BUnless otherwise stated, these criteria are applicable to all questions below.Q. If R be one of the members, the other members of the team are—a)PSADb)QSADc)QSCEd)SACECorrect answer is option 'D'. Can you explain this answer?
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