Five friends A,B,C,D and E are standing in a row facing south but not necessarily in the same order.Only B is between A and E, C is immediate right to E and D is immediate left to A. On the basis of the above information,which of the following statements is true?

Options

A. B is to the left of A
B. D is third to the left of E
C. B is to the right of E
D. A is second to the left of C

Explanation

To solve the given problem step by step, we will analyze the information provided and arrange the friends accordingly.

### Step 1: Understand the arrangement
The friends A, B, C, D, and E are standing in a row facing south. This means that when we refer to left and right, we need to visualize it as if they are facing north for easier understanding.

### Step 2: Analyze the clues
1. **Only B is between A and E**: This means that the arrangement can be either A-B-E or E-B-A.
2. **C is immediate right to E**: Since they are facing south, C will be on the left side of E when visualizing it as facing north.
3. **D is immediate left to A**: This means D will be on the right side of A when visualizing it as facing north.

### Step 3: Create possible arrangements
Let's start with the first clue:
- Assume A-B-E arrangement:
- If A is at position 1, B is at position 2, and E is at position 3, then C (immediate right of E) would be at position 4 and D (immediate left of A) would be at position 0, which is not possible.
- If A is at position 3, B is at position 4, and E is at position 5, then C would be at position 6, which is also not possible.
- Therefore, we need to try the second arrangement E-B-A.

Assuming E-B-A:
- E at position 1, B at position 2, and A at position 3.
- Now, C is immediate right to E, so C must be at position 2 (which is not possible since B is already there).
- So, we can try A-B-E arrangement again but with different positions.

### Step 4: Final arrangement
After trying different combinations, we find:
- A at position 3, B at position 4, E at position 5, C at position 2 (immediate right of E), and D at position 1 (immediate left of A).

Thus, the final arrangement from left to right is:
1. D
2. C
3. A
4. B
5. E

### Step 5: Verify the statements
Now, we can check which of the statements is true based on our arrangement:
1. **B is to the left of A**: False (B is to the right of A).
2. **D is third to the left of E**: True (D is at position 1 and E is at position 5, which is 3 positions to the right).
3. **B is to the right of E**: False (B is to the left of E).
4. **A is second to the right of C**: False (A is first to the right of C).

### Conclusion
The only true statement is: **D is third to the left of E**.

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