In the following number series a wrong number is given ,Find out that wrong number .
10,11,24,75,303,1525,9156

Options

A. 24
B. 1525
C. 75
D. 303

Answer

To identify the wrong number in the series 10, 11, 24, 75, 303, 1525, 9156, we will analyze the pattern of the series step by step.

### Step 1: Analyze the pattern
We will look for a pattern in the series. The first number is 10.

### Step 2: Calculate the next number
From 10 to 11:
- \(10 \times 1 + 1 = 11\)

### Step 3: Calculate the next number
From 11 to 24:
- \(11 \times 2 + 2 = 24\)

### Step 4: Calculate the next number
From 24 to 75:
- \(24 \times 3 + 3 = 75\)

### Step 5: Calculate the next number
From 75 to 303:
- \(75 \times 4 + 4 = 300 + 4 = 304\)

### Step 6: Identify the discrepancy
We expected the next number after 75 to be 304, but the series lists it as 303. Therefore, 303 is the wrong number.

### Step 7: Continue checking the pattern
From 303 to 1525:
- \(304 \times 5 + 5 = 1520 + 5 = 1525\) (This is correct)

From 1525 to 9156:
- \(1525 \times 6 + 6 = 9150 + 6 = 9156\) (This is also correct)

### Conclusion
The wrong number in the series is **303**. The correct number should be **304**.

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