What will come in place of (?) in the following number series problems?
`104," "?," "96," "120," "88," "128`

Options

A. A)112
B. B)96
C. C)116
D. D)120

Answer

To solve the given number series problem, we need to identify the pattern in the series:

**Series:** 104, ?, 96, 120, 88, 128

### Step-by-Step Solution:

1. **Identify the Terms:**
- The first term is 104.
- The second term is missing (let's denote it as K).
- The third term is 96.
- The fourth term is 120.
- The fifth term is 88.
- The sixth term is 128.

2. **Separate the Series:**
- We can observe that the series can be split into two interleaved sequences:
- **First Sequence:** 104, 96, 88
- **Second Sequence:** K, 120, 128

3. **Analyze the First Sequence:**
- The first sequence is decreasing:
- From 104 to 96: 104 - 8 = 96
- From 96 to 88: 96 - 8 = 88
- Therefore, the pattern in the first sequence is a decrease of 8.

4. **Analyze the Second Sequence:**
- The second sequence is increasing:
- From K to 120: K + 8 = 120 (which means K = 120 - 8)
- From 120 to 128: 120 + 8 = 128
- Therefore, the pattern in the second sequence is an increase of 8.

5. **Calculate the Missing Term (K):**
- From the equation K + 8 = 120, we can solve for K:
- K = 120 - 8
- K = 112

6. **Conclusion:**
- The missing term in the series is **112**.

### Final Answer:
The value that comes in place of (?) is **112**.

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