225, 196, 169, 144, 121, 80

Options

A. 80
B. 121
C. 169
D. 196

Explanation

To solve the problem, we need to identify the pattern in the given series: 225, 196, 169, 144, 121, 80.

**Step 1: Identify the numbers in the series.**
The series consists of the following numbers:
- 225
- 196
- 169
- 144
- 121
- 80

**Step 2: Check if the numbers are perfect squares.**
Let's check if these numbers are perfect squares:
- 225 = 15²
- 196 = 14²
- 169 = 13²
- 144 = 12²
- 121 = 11²
- 80 is not a perfect square.

**Step 3: Identify the pattern.**
From the above, we can see that the first five numbers (225, 196, 169, 144, 121) are perfect squares of consecutive integers starting from 15 down to 11:
- 15² = 225
- 14² = 196
- 13² = 169
- 12² = 144
- 11² = 121

**Step 4: Determine the next number in the series.**
Following the pattern, the next number should be the square of the next integer, which is 10:
- 10² = 100

**Step 5: Compare with the last number in the series.**
The last number in the series is 80, which does not fit the pattern we have established. Instead, it should be 100.

**Conclusion: Identify the wrong number.**
Thus, the wrong number in the series is 80, and it should be replaced with 100.

**Final Answer:**
The wrong number in the series is 80.

---