Earlier when I have created my e-mail-ID, the password was consisting of first 4 prime numbers. Recently when 1 tried to check my emails I got dumbfounded since I could not remember my password exactly. So when I have written 2735, my computer indicated me that no digit is correctly placed. Again I tried 5273, I got the same response. So once again I have writen only 3 as the left most digit for my password it again indicated me that it was wrong. Finally I have taken one more attempt and got the account open. The code of my passward is :

Options

A. a.2537
B. b.7352
C. c.7325
D. d.none of these

Answer

To solve the problem of finding the password consisting of the first four prime numbers based on the clues given, we will follow these steps:

### Step 1: Identify the first four prime numbers.
The first four prime numbers are:
- 2
- 3
- 5
- 7

### Step 2: Analyze the first attempt (2735).
The response was that no digit is correctly placed. This means:
- 2 is not in the 1st position.
- 7 is not in the 2nd position.
- 3 is not in the 3rd position.
- 5 is not in the 4th position.

### Step 3: Analyze the second attempt (5273).
Again, the response was that no digit is correctly placed. This means:
- 5 is not in the 1st position.
- 2 is not in the 2nd position.
- 7 is not in the 3rd position.
- 3 is not in the 4th position.

### Step 4: Analyze the third attempt (3XXX).
The response was that no digit is correctly placed. This means:
- 3 is not in the 1st position (which confirms it cannot be the first digit).

### Step 5: Determine the possible positions for each digit.
From the first two attempts, we can summarize:
- **2** cannot be in positions 1 or 2.
- **3** cannot be in positions 1 or 3.
- **5** cannot be in positions 1 or 4.
- **7** cannot be in positions 2 or 3.

### Step 6: Narrow down the positions.
1. **For 3**: It cannot be in the 1st position (from the third attempt) or the 3rd position (from the first attempt). Thus, it must be in the 2nd position.
2. **For 2**: It cannot be in the 1st or 2nd position. Thus, it must be in the 4th position.
3. **For 5**: It cannot be in the 1st or 4th position. Thus, it must be in the 3rd position.
4. **For 7**: It cannot be in the 2nd or 3rd position. Thus, it must be in the 1st position.

### Step 7: Compile the digits into the password.
From the deductions:
- 1st position: 7
- 2nd position: 3
- 3rd position: 5
- 4th position: 2

Thus, the password is **7352**.

### Final Answer:
The code of my password is: **7352**.

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