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If A, B, C, D, and E are seated in a circle and A is not next to B, which of the

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Question: If A, B, C, D, and E are seated in a circle and A is not next to B, which of the following statements must be true?

Options:

  1. C is next to D
  2. E is next to A
  3. B is next to D
  4. C is not next to E

Correct Answer: B is next to D

Solution: 

Since A is not next to B, it is possible for B to be next to D, making this statement true in some arrangements.

If A, B, C, D, and E are seated in a circle and A is not next to B, which of the

Practice Questions

Q1
If A, B, C, D, and E are seated in a circle and A is not next to B, which of the following statements must be true?
  1. C is next to D
  2. E is next to A
  3. B is next to D
  4. C is not next to E

Questions & Step-by-Step Solutions

If A, B, C, D, and E are seated in a circle and A is not next to B, which of the following statements must be true?
  • Step 1: Understand that A, B, C, D, and E are seated in a circle.
  • Step 2: Recognize that 'not next to' means A cannot be directly beside B.
  • Step 3: Consider the arrangement of the other people (C, D, E) in relation to A and B.
  • Step 4: Realize that since A is not next to B, B can still be next to other people like C, D, or E.
  • Step 5: Conclude that it is possible for B to be next to D, which means the statement can be true in some arrangements.
  • Circular Permutations – Understanding how to arrange objects in a circle and the implications of adjacency.
  • Logical Deduction – Analyzing statements based on given conditions and determining their validity.
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