3, 15, 35, 63, 99, ….

Options

A. 133
B. 143
C. 153
D. 165

Explanation

To find the next number in the series: 3, 15, 35, 63, 99, we will analyze the pattern in the series step by step.

### Step-by-Step Solution:

1. **Identify the Numbers**: The given series is 3, 15, 35, 63, 99.

2. **Look for Patterns**: We need to find a pattern among these numbers. One approach is to check if these numbers can be expressed as the product of two successive prime numbers.

3. **List of Prime Numbers**: The first few prime numbers are:
- 2, 3, 5, 7, 11, 13, 17, 19, 23, ...

4. **Calculate Products of Successive Prime Numbers**:
- The product of the first two primes (2 and 3) is:
\[ 2 \times 3 = 6 \quad \text{(not in the series)} \]
- The product of the next two primes (3 and 5) is:
\[ 3 \times 5 = 15 \quad \text{(matches the second number)} \]
- The product of the next two primes (5 and 7) is:
\[ 5 \times 7 = 35 \quad \text{(matches the third number)} \]
- The product of the next two primes (7 and 9) is:
\[ 7 \times 9 = 63 \quad \text{(matches the fourth number)} \]
- The product of the next two primes (9 and 11) is:
\[ 9 \times 11 = 99 \quad \text{(matches the fifth number)} \]

5. **Find the Next Pair of Successive Prime Numbers**: The next pair of primes after 9 and 11 is:
- 11 and 13.

6. **Calculate the Product of 11 and 13**:
\[ 11 \times 13 = 143 \]

7. **Conclusion**: The next number in the series is 143.

### Final Answer:
The next number in the series is **143**.

---