24, 39, 416, 525, 636, 714

Options

A. 39
B. 416
C. 525
D. 714

Explanation

To solve the problem of identifying the wrong number in the series: 24, 39, 416, 525, 636, 714, we can analyze the pattern in the sequence step by step.

### Step 1: Identify the Pattern
First, let's look at the numbers in the series:
- 24
- 39
- 416
- 525
- 636
- 714

We can observe that the first two numbers (24 and 39) can be related to their digits.

### Step 2: Analyze the First Two Numbers
For the first number, 24:
- The first digit is 2 and the second digit is 4.
- We can see that 2 squared (2^2) is 4, which corresponds to the second digit.

For the second number, 39:
- The first digit is 3 and the second digit is 9.
- Here, 3 squared (3^2) is 9, which corresponds to the second digit.

### Step 3: Continue the Pattern
Now, let's check the next numbers:
- For 416:
- The first digit is 4 and the second digit is 1 (not following the pattern).
- For 525:
- The first digit is 5 and the second digit is 2 (not following the pattern).
- For 636:
- The first digit is 6 and the second digit is 3 (not following the pattern).
- For 714:
- The first digit is 7 and the second digit is 1 (not following the pattern).

### Step 4: Identify the Incorrect Number
From our analysis, we see that the pattern of squaring the first digit does not hold for the numbers after 39.

If we apply the pattern correctly:
- The number that should follow 6 (which is 6^2 = 36) should be 749 instead of 714.

### Conclusion
Thus, the wrong number in the series is 714, which should be replaced with 749.

### Final Answer
The wrong number is option D: 714.

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