निम्नलिखित में कितने 3 ऐसे हैं जिनसे ठीक पहले 9 है परंतु ठीक बाद में 5 नहीं हैं -
9 3 4 5 9 3 6 4 3 9 3 3 5 3 9 5 3 9 3 7 5 7 5 9 3 9 5

Options

A. 5
B. 4
C. 3
D. 2

Answer

To solve the problem, we need to find how many times the number 3 appears in the given sequence such that it is immediately preceded by the number 9 and not immediately followed by the number 5.

### Step-by-Step Solution:

1. **Identify the Sequence**:
The given sequence is:
```
9 3 4 5 9 3 6 4 3 9 3 3 5 3 9 5 3 9 3 7 5 7 5 9 3 9 5
```

2. **Look for the Pattern**:
We need to find instances of the number 3 that are directly preceded by 9. This means we will look for the pair "9 3".

3. **Check Each Occurrence**:
- Starting from the beginning of the sequence, we will check each number:
- **First 9**: `9 3` (valid, check next number)
- **Next number after 3**: 4 (not 5, valid)
- **Next 9**: `9 3` (valid)
- **Next number after 3**: 6 (not 5, valid)
- **Next 9**: `9 3` (valid)
- **Next number after 3**: 3 (not 5, valid)
- **Next 9**: `9 3` (valid)
- **Next number after 3**: 5 (not valid, skip)
- **Next 9**: `9 3` (valid)
- **Next number after 3**: 7 (not 5, valid)
- **Next 9**: `9 3` (valid)
- **Next number after 3**: 5 (not valid, skip)
- **Next 9**: `9 3` (valid)
- **Next number after 3**: 5 (not valid, skip)

4. **Count the Valid Occurrences**:
- From our checks, we found the following valid occurrences:
- 1st occurrence: `9 3` (valid)
- 2nd occurrence: `9 3` (valid)
- 3rd occurrence: `9 3` (valid)
- 4th occurrence: `9 3` (valid)
- 5th occurrence: `9 3` (valid)

Thus, there are **5 valid occurrences** of 3 that are preceded by 9 and not followed by 5.

### Final Answer:
The number of 3's that are preceded by 9 but not followed by 5 is **5**.

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