19.2, 20.6, 17.6, 22.4, 16, 24, 14.4

Options

A. 20.6
B. 24
C. 14.4
D. 17.6

Explanation

To determine the odd one out from the series: 19.2, 20.6, 17.6, 22.4, 16, 24, 14.4, we will analyze the differences between the numbers step by step.

### Step-by-Step Solution:

1. **Identify the Series**:
The given series is:
\[ 19.2, 20.6, 17.6, 22.4, 16, 24, 14.4 \]

2. **Calculate the Differences**:
We will calculate the differences between consecutive terms:
- \(20.6 - 19.2 = 1.4\)
- \(17.6 - 20.6 = -3.0\)
- \(22.4 - 17.6 = 4.8\)
- \(16 - 22.4 = -6.4\)
- \(24 - 16 = 8.0\)
- \(14.4 - 24 = -9.6\)

So, the differences are:
\[ 1.4, -3.0, 4.8, -6.4, 8.0, -9.6 \]

3. **Observe the Pattern in Differences**:
The differences seem to alternate between positive and negative values. Let's analyze the absolute values:
- \(1.4\)
- \(3.0\) (which is \(3.2\) but should be \(3.0\))
- \(4.8\)
- \(6.4\)
- \(8.0\)
- \(9.6\)

We can see that the differences are not consistent in their increments.

4. **Check for Consistency**:
If we observe the differences closely, we can see:
- The first difference is \(1.4\)
- The second difference should ideally follow a pattern, but it deviates.

5. **Identify the Odd One Out**:
The first number \(19.2\) seems to be the one that disrupts the pattern. If we were to adjust it to maintain a consistent difference, we would need \(20.8\) instead of \(20.6\).

6. **Conclusion**:
The odd one out in the series is \(20.6\). It should be \(20.8\) to maintain the pattern.

### Final Answer:
The number that is the odd one out is **20.6**.

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