A, B, C, D, and E are standing in a line. If A is not at either end and B is to the left of C, which of the following must be true?

1 question

1 item

Q: A, B, C, D, and E are standing in a line. If A is not at either end and B is to the left of C, which of the following must be true?

Solution: Since A is not at either end and B is to the left of C, D must be to the right of A.

Steps: 7

Step 1: Identify the positions available for A, B, C, D, and E. There are 5 positions in total.
Step 2: Since A is not at either end, A can only be in positions 2, 3, or 4.
Step 3: B must be to the left of C, which means B can be in positions 1, 2, or 3, and C can be in positions 2, 3, 4, or 5.
Step 4: If A is in position 2, then B can only be in position 1, and C can be in position 3, 4, or 5.
Step 5: If A is in position 3, then B can be in position 1 or 2, and C can be in position 4 or 5.
Step 6: If A is in position 4, then B can be in position 1, 2, or 3, and C can only be in position 5.
Step 7: In all scenarios, D must be placed in a position to the right of A, since A cannot be at the ends.