Arrange the numbers into ascending order :
A. 864253 B. 842563
C. 825643 D. 834562
E. 852463 `(1) A, C, B, E, D` `(2) B, D, C, E, A` `(3) C, D, B, E, A` `(4) D, E, C, A, B`

Options

A. A, C, B, E, D
B. B, D, C, E, A
C. C, D, B, E, A
D. D, E, C, A, B

Explanation

To arrange the numbers A, B, C, D, and E into ascending order, we will follow these steps:

**Step 1: Write down the numbers associated with each letter.**
- A = 864253
- B = 842563
- C = 825643
- D = 834562
- E = 852463

**Step 2: Compare the first digits of each number.**
- The first digits are:
- A: 8
- B: 8
- C: 8
- D: 8
- E: 8
Since all numbers start with the same digit (8), we will move to the next digit.

**Step 3: Compare the second digits of each number.**
- The second digits are:
- A: 6
- B: 4
- C: 2
- D: 3
- E: 5
The smallest second digit is 2 (from C), followed by 3 (from D), 4 (from B), 5 (from E), and 6 (from A).

**Step 4: Arrange based on the second digits.**
- The order based on the second digits is:
- C (825643)
- D (834562)
- B (842563)
- E (852463)
- A (864253)

**Step 5: Confirm the order.**
- Now we have C, D, B, E, A. We can check if this order is correct by comparing the full numbers:
- C = 825643
- D = 834562
- B = 842563
- E = 852463
- A = 864253

This confirms that the ascending order is correct.

**Final Answer:**
The correct ascending order is C, D, B, E, A.

**Options:**
- (1) A, C, B, E, D
- (2) B, D, C, E, A
- (3) C, D, B, E, A
- (4) D, E, C, A, B

The correct option is **(3) C, D, B, E, A**.

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