Find the wrong number in the following number series questions.
160,207,260,319,449,518

Options

A. 160
B. 319
C. 207
D. 449

Answer

To find the wrong number in the series 160, 207, 260, 319, 449, 518, we will analyze the differences between consecutive terms and look for a pattern.

### Step 1: Calculate the differences between consecutive terms
1. **Difference between 207 and 160:**
\[ 207 - 160 = 47 \]
2. **Difference between 260 and 207:**
\[ 260 - 207 = 53 \]
3. **Difference between 319 and 260:**
\[ 319 - 260 = 59 \]
4. **Difference between 449 and 319:**
\[ 449 - 319 = 130 \]
5. **Difference between 518 and 449:**
\[ 518 - 449 = 69 \]

### Step 2: List the differences
The differences we calculated are:
- 47
- 53
- 59
- 130
- 69

### Step 3: Analyze the differences for a pattern
Now, let's look at the differences:
- The first difference is 47.
- The second difference is 53 (which is 47 + 6).
- The third difference is 59 (which is 53 + 6).
- The fourth difference is 130 (which does not follow the pattern).
- The fifth difference is 69.

### Step 4: Identify the anomaly
From the pattern, we can see that the differences should increase by 6 each time:
- 47 + 6 = 53
- 53 + 6 = 59
- The next difference should be 59 + 6 = 65.

However, we have 130 instead of 65, indicating that 449 is the wrong term in the series.

### Step 5: Determine the correct term
If we replace 449 with the correct term, we can find it by adding 65 to 319:
\[ 319 + 65 = 384 \]
Thus, the correct term should be 384 instead of 449.

### Conclusion
The wrong number in the series is **449**.

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