In each question, a. number series is given. Only one number is wrong which doesn’t fit in the series. Find out the wrong number
13 22 40 76 152 292 580

Options

A. 40
B. 76
C. 292
D. 152

Answer

To find the wrong number in the series 13, 22, 40, 76, 152, 292, 580, we will analyze the pattern of the series step by step.

### Step 1: Identify the pattern in the series
Let's look at the differences between consecutive numbers:
- 22 - 13 = 9
- 40 - 22 = 18
- 76 - 40 = 36
- 152 - 76 = 76
- 292 - 152 = 140
- 580 - 292 = 288

### Step 2: Analyze the differences
Now, let's observe the differences we calculated:
- The first difference is 9.
- The second difference is 18 (which is 2 times 9).
- The third difference is 36 (which is 2 times 18).
- The fourth difference is 76 (which is not double the previous difference).
- The fifth difference is 140 (which is not double the previous difference).
- The sixth difference is 288 (which is not double the previous difference).

### Step 3: Identify the inconsistency
The pattern we see is that each difference should ideally be double the previous difference. However, starting from the difference of 76, this pattern breaks.

### Step 4: Correct the series
If we assume the correct difference after 76 should be 72 (which is double the previous difference of 36), we can calculate:
- 76 + 72 = 148 (instead of 152).

### Step 5: Determine the wrong number
Thus, the wrong number in the series is 152. The correct number should be 148.

### Conclusion
The wrong number in the series 13, 22, 40, 76, 152, 292, 580 is **152**.

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