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Exactly four students are to attend a workshop. They are to be chosen from a group of seven eligible students: three boys F, G, H and four girls J, K, M, and N. The four are to be chosen according to the following conditions? (i) If either G or H attends the workshop, then other must also attend. (ii) J and K cannot both attend the workshop. (iii) G and M cannot both attend the workshop. Which of the following could be the group attending the workshop?
  1. G, J, M, N
  2. F, G, H, M
  3. F, K, M, N
  4. None of these
Explanation

Check all 3 against the rules:

Rules:

1. G and H must go together

2. J and K cannot be together

3. G and M cannot be together

F, K, M, N = VALID

No G, so Rule 1 and 3 are not triggered

Only K is there (not J), so Rule 2 is fine.

Correct answer is F, K, M, N


Last verified on 20-10-2026

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