The positions of the first and the second digits in the number 9 4 3 1 6 8 7 5 are interchanged. Similarly, the positions of the third and the fourth digits are interchanged and so on. Which of the following will be the third to the left of the seventh digit from the left end after rearrangement?

Options

A. 1
B. 4
C. 6
D. 3

Explanation

To solve the problem step by step, let's follow the instructions given in the question:

### Step 1: Understand the rearrangement
The original number is 94316875. We need to rearrange it by interchanging the positions of the digits:
- First and second digits: 9 ↔ 4
- Third and fourth digits: 3 ↔ 1
- Fifth and sixth digits: 6 ↔ 8
- Seventh and eighth digits: 7 ↔ 5

### Step 2: Perform the rearrangement
Let's rearrange the digits according to the instructions:
1. Interchange 9 and 4: **4 9**
2. Interchange 3 and 1: **1 3**
3. Interchange 6 and 8: **8 6**
4. Interchange 7 and 5: **5 7**

Putting it all together, the new arrangement of the digits is:
- 4 9 1 3 8 6 5 7

### Step 3: Identify the seventh digit from the left
Now we need to find the seventh digit from the left in the rearranged number:
- The digits from left to right are: 4, 9, 1, 3, 8, 6, 5, 7
- The seventh digit is **5**.

### Step 4: Find the third digit to the left of the seventh digit
Now, we need to find the third digit to the left of the seventh digit (which is 5):
- Counting left from 5:
- First left: 6
- Second left: 8
- Third left: 3

Thus, the third digit to the left of 5 is **3**.

### Final Answer
The answer to the question is **3**.

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