48, 24, 96, 48, 192, ?

Options

A. 76
B. 90
C. 96
D. 98

Explanation

To solve the series: 48, 24, 96, 48, 192, ?, we need to identify the pattern in the series.

### Step-by-Step Solution:

1. **Identify the Pattern**:
- The series alternates between halving a number and multiplying a number by 4.
- Let's break it down step by step.

2. **First Step**:
- Start with the first number: **48**.
- The next number is **24**, which is half of 48.
- Calculation: \( 48 \div 2 = 24 \).

3. **Second Step**:
- Now take **24** and multiply it by 4 to get the next number.
- Calculation: \( 24 \times 4 = 96 \).

4. **Third Step**:
- The next number is **96**. Now, we will halve it to find the next number.
- Calculation: \( 96 \div 2 = 48 \).

5. **Fourth Step**:
- Now take **48** and multiply it by 4 to find the next number.
- Calculation: \( 48 \times 4 = 192 \).

6. **Fifth Step**:
- The last number we have is **192**. Now we will halve it to find the missing number.
- Calculation: \( 192 \div 2 = 96 \).

### Conclusion:
The missing number in the series is **96**.