1, 4, 27, 16, 25, 36

Options

A. 4
B. 27
C. 16
D. 25

Explanation

To solve the given series: 1, 4, 27, 16, 25, 36, we need to analyze the pattern in the numbers.

### Step 1: Identify the series
The series consists of the following numbers:
- 1
- 4
- 27
- 16
- 25
- 36

### Step 2: Look for patterns
Let's break down the numbers:
- 1 = 1^2
- 4 = 2^2
- 27 = 3^3
- 16 = 4^2
- 25 = 5^2
- 36 = 6^2

### Step 3: Analyze the pattern
From the breakdown, we can see:
- The first number (1) is the square of 1.
- The second number (4) is the square of 2.
- The third number (27) is the cube of 3.
- The fourth number (16) is the square of 4.
- The fifth number (25) is the square of 5.
- The sixth number (36) is the square of 6.

### Step 4: Identify the anomaly
In this series, we notice that the third number (27) is the only one that is a cube (3^3), while all other numbers are squares of their respective integers.

### Conclusion
Thus, the number that does not fit the pattern is 27. The correct sequence should maintain the pattern of squares, and hence, 27 should be replaced with 9 (which is 3^2).

### Final Answer
The number that is wrong in the series is 27.

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