Find the wrong term in the following number serie questions.
110,156,210,282,342,420,506

Options

A. A)342
B. B)282
C. C)110
D. D)420

Answer

To find the wrong term in the series: 110, 156, 210, 282, 342, 420, 506, we can follow these steps:

### Step 1: Identify the Pattern
Let's analyze the given series to find a pattern. We will check if there is a multiplication pattern or a formula that can be applied to the terms.

### Step 2: Check Each Term
1. The first term is **110**. We can express this as:
\[ 10 \times 11 = 110 \]
2. The second term is **156**. We can express this as:
\[ 12 \times 13 = 156 \]
3. The third term is **210**. We can express this as:
\[ 14 \times 15 = 210 \]
4. The fourth term is **282**. We can express this as:
\[ 14 \times 16 = 224 \text{ (incorrect)} \]
5. The fifth term is **342**. We can express this as:
\[ 17 \times 18 = 306 \text{ (incorrect)} \]
6. The sixth term is **420**. We can express this as:
\[ 20 \times 21 = 420 \]
7. The seventh term is **506**. We can express this as:
\[ 22 \times 23 = 506 \]

### Step 3: Identify the Incorrect Term
From the calculations, we can see that the fourth term (282) does not follow the pattern established by the other terms. The correct term should be:
\[ 16 \times 17 = 272 \]
Thus, the wrong term in the series is **282**.

### Conclusion
The wrong term in the series is **282**.

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