49, 121, 169, 289, 371, 529

Options

A. 529
B. 371
C. 169
D. 121

Explanation

To solve the problem, we need to identify the pattern in the given series of numbers: 49, 121, 169, 289, 371, 529.

### Step 1: Identify the numbers in the series
The numbers in the series are:
- 49
- 121
- 169
- 289
- 371
- 529

### Step 2: Check if the numbers are perfect squares
Let's check if these numbers are perfect squares:
- \(49 = 7^2\)
- \(121 = 11^2\)
- \(169 = 13^2\)
- \(289 = 17^2\)
- \(371\) (we will check this later)
- \(529 = 23^2\)

### Step 3: Identify the prime numbers corresponding to the perfect squares
The perfect squares we have correspond to the following prime numbers:
- \(7\) (for \(49\))
- \(11\) (for \(121\))
- \(13\) (for \(169\))
- \(17\) (for \(289\))
- \(19\) (should be for the number in place of \(371\))
- \(23\) (for \(529\))

### Step 4: Find the missing number
From the pattern, we can see that the prime numbers are:
- \(7, 11, 13, 17, 19, 23\)

The perfect square of \(19\) is:
- \(19^2 = 361\)

### Step 5: Compare with the given series
Now, we compare the number \(361\) with the number \(371\) in the series. It appears that \(371\) is incorrect, and it should be \(361\).

### Conclusion
The number that should be in place of \(371\) is \(361\).

### Final Answer
The number that is wrong in the series is \(371\), and it should be replaced with \(361\).

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