Find the wrong number in the following number series questions.
132,156,182,210,240,272,310

Options

A. A)132
B. B)272
C. C)210
D. D)310

Answer

To find the wrong number in the series: 132, 156, 182, 210, 240, 272, 310, we will analyze the pattern in the series step by step.

### Step 1: Identify the terms in the series
The given series is:
- First term: 132
- Second term: 156
- Third term: 182
- Fourth term: 210
- Fifth term: 240
- Sixth term: 272
- Seventh term: 310

### Step 2: Look for a pattern
Let's examine the relationship between the terms. We can express each term as a product of two consecutive integers:
- 132 = 11 × 12
- 156 = 12 × 13
- 182 = 13 × 14
- 210 = 14 × 15
- 240 = 15 × 16
- 272 = 16 × 17
- 310 = 17 × 18

### Step 3: Calculate the expected term
Following the pattern, we can see:
- The next term after 272 (which is 16 × 17) should be:
- 17 × 18 = 306

### Step 4: Identify the wrong term
Now, we compare the expected term with the actual term in the series:
- The expected term is 306, but the term in the series is 310.
- Therefore, 310 is the wrong term.

### Conclusion
The wrong number in the series is **310**.

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