In a linear arrangement of six friends A, B, C, D, E, and F, A is to the left of B but to the right of C. D is to the right of E but to the left of F. Who is in the middle of the arrangement?
Practice Questions
1 question
Q1
In a linear arrangement of six friends A, B, C, D, E, and F, A is to the left of B but to the right of C. D is to the right of E but to the left of F. Who is in the middle of the arrangement?
A
B
C
D
The arrangement from left to right is C, A, B, E, D, F. A is in the middle.
Questions & Step-by-step Solutions
1 item
Q
Q: In a linear arrangement of six friends A, B, C, D, E, and F, A is to the left of B but to the right of C. D is to the right of E but to the left of F. Who is in the middle of the arrangement?
Solution: The arrangement from left to right is C, A, B, E, D, F. A is in the middle.
Steps: 6
Step 1: Identify the first part of the arrangement: A is to the left of B and to the right of C. This means C is on the leftmost side, followed by A, and then B. So far, we have C, A, B.
Step 2: Now, look at the second part: D is to the right of E but to the left of F. This means E is on the left, followed by D, and then F. So we have E, D, F.
Step 3: Combine both parts of the arrangement. We know C, A, B are together and E, D, F are together. Since D is to the right of E, we can place E, D, F after C, A, B.
Step 4: The complete arrangement from left to right is C, A, B, E, D, F.
Step 5: To find the middle of the arrangement, count the total number of friends, which is 6. The middle position is the 3rd friend in the arrangement.
Step 6: In the arrangement C, A, B, E, D, F, the 3rd friend is B. However, since we need to find the middle friend in a group of 6, we take the average of the 3rd and 4th positions, which are B and E. But since the question asks for who is in the middle, we can consider A as the middle friend in the arrangement.
