In a linear arrangement of seven students, if A is to the left of B, and C is to

Practice Questions

Q1
In a linear arrangement of seven students, if A is to the left of B, and C is to the right of D, which of the following cannot be true?
  1. A is to the left of C
  2. B is to the right of D
  3. D is to the left of A
  4. C is to the right of B

Questions & Step-by-Step Solutions

In a linear arrangement of seven students, if A is to the left of B, and C is to the right of D, which of the following cannot be true?
  • Step 1: Understand the arrangement of students. We have seven students in a line.
  • Step 2: Identify the positions based on the given information: A is to the left of B, which means A comes before B in the line.
  • Step 3: Note the second condition: C is to the right of D, meaning D comes before C in the line.
  • Step 4: Consider the implications of A being to the left of B. This means A must be positioned somewhere before B.
  • Step 5: Now, think about D's position. If D is to the left of A, it would mean D is before A in the line.
  • Step 6: If D is before A, then D would also be before B (since A is before B). This creates a contradiction with the arrangement because it would mean C cannot be to the right of D if D is also before A.
  • Step 7: Therefore, the arrangement where D is to the left of A cannot be true without contradicting the positions of A and B.
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