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The question is based on the information provided below:

From a group of seven people – $\text{J, K, L, M, N, P}$ and $\text{Q}$ – exactly four will be selected to attend a diplomat’s retirement dinner. Selection must conform the following conditions:

  1. Either $\text{J}$ or $\text{K}$ must be selected, but $\text{J}$ and $\text{K}$ cannot both be selected
  2. Either $\text{N}$ or $\text{P}$ must be selected, but $\text{N}$ and $\text{P}$ cannot both be selected
  3. $\text{N}$ cannot be selected unless $\text{L}$ is selected
  4. $\text{Q}$ cannot be selected unless $\text{K}$ is selected

Which one of the following could be the four people selected to attend the retirement dinner?

  1. $\text{J, K, M, P}$
  2. $\text{J, L, N, Q}$
  3. $\text{J, M, N, Q}$
  4. $\text{K, M, P, Q}$

1 Answer

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