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A team of three officers must be selected from A, B, C, D, and E. If A is selected, B must also be selected. C and D cannot be selected together. At least one of D or E must be selected. B and E cannot be selected together. Which team can be selected?
  1. B, C, D
  2. B, C, E
  3. A, B, D
  4. None of these
Explanation

Let's check each team against the rules:

Rules:

1. If A is selected → B must also be selected

2. C and D cannot be together  

3. At least one of D or E must be selected

4. B and E cannot be together


B, C, D  

Rule 2: C and D are together → Fails


B, C, E

Rule 4: B and E are together → Fails


A, B, D  

1. A is selected, B is selected → OK  

2. C and D not together → OK  

3. D is selected → OK  

4. B and E not together → OK  


Last verified on 12-07-2026

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