Find the wrong number in the following number series.
10,260,480,685,860,1010,1135

Options

A. 1010
B. 860
C. 260
D. 480

Answer

To find the wrong number in the series 10, 260, 480, 685, 860, 1010, 1135, we will analyze the differences between the consecutive terms and look for a pattern.

### Step-by-Step Solution:

1. **Write the Series:**
The series is:
10, 260, 480, 685, 860, 1010, 1135.

2. **Calculate the Differences:**
Let's find the differences between consecutive terms:
- Difference between 10 and 260:
\( 260 - 10 = 250 \)
- Difference between 260 and 480:
\( 480 - 260 = 220 \)
- Difference between 480 and 685:
\( 685 - 480 = 205 \)
- Difference between 685 and 860:
\( 860 - 685 = 175 \)
- Difference between 860 and 1010:
\( 1010 - 860 = 150 \)
- Difference between 1010 and 1135:
\( 1135 - 1010 = 125 \)

So, the differences are:
250, 220, 205, 175, 150, 125.

3. **Analyze the Differences:**
Now, let's look at the differences:
- The first difference is 250.
- The second difference is 220.
- The third difference is 205.
- The fourth difference is 175.
- The fifth difference is 150.
- The sixth difference is 125.

4. **Calculate the Second Differences:**
Now, let's calculate the second differences (the differences of the differences):
- Difference between 250 and 220:
\( 250 - 220 = 30 \)
- Difference between 220 and 205:
\( 220 - 205 = 15 \)
- Difference between 205 and 175:
\( 205 - 175 = 30 \)
- Difference between 175 and 150:
\( 175 - 150 = 25 \)
- Difference between 150 and 125:
\( 150 - 125 = 25 \)

So, the second differences are:
30, 15, 30, 25, 25.

5. **Identify the Pattern:**
We can see that the second differences do not follow a consistent pattern. However, if we assume that the first difference should decrease consistently, we can check what the difference should be if we adjust the wrong term.

6. **Adjust the Wrong Term:**
If we assume that the difference after 250 should have been 225 instead of 220, we can recalculate:
- If the first difference is 250, the next should be 225.
- Therefore, the next term after 260 would be:
\( 260 + 225 = 485 \).

7. **Check the New Series:**
Now, let's check the new series:
- From 10 to 260: 250
- From 260 to 485: 225
- From 485 to 685: 200
- From 685 to 860: 175
- From 860 to 1010: 150
- From 1010 to 1135: 125

The differences are now:
250, 225, 200, 175, 150, 125, which shows a consistent decrease of 25.

8. **Conclusion:**
Thus, the wrong number in the series is 480. It should have been 485.

### Final Answer:
The wrong number in the series is **480**.