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?
Practice Questions
1 question
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?
A is to the left of C
B is to the right of D
D is to the left of A
C is to the right of B
If A is to the left of B, D cannot be to the left of A without contradicting the arrangement.
Questions & Step-by-step Solutions
1 item
Q
Q: 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?
Solution: If A is to the left of B, D cannot be to the left of A without contradicting the arrangement.
Steps: 7
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.
