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

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Question: 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?

Options:

Correct Answer: D is to the left of A

Solution:

If A is to the left of B, D cannot be to the left of A without contradicting the arrangement.

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?

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.

Linear Arrangement – Understanding the relative positions of students based on given conditions.
Logical Deduction – Using logical reasoning to determine possible arrangements and contradictions.