Perfect Square Numbers Between 50 and 60:
- In order to find the perfect square numbers between 50 and 60, we need to determine if any of the numbers within this range are perfect squares. A perfect square is a number that is the square of an integer. For example, 9 is a perfect square because it is the square of 3 (3 * 3 = 9).

Step 1:
- We start by finding the square roots of 50 and 60 to determine the range of integers that could potentially be perfect squares within this range.

Square root of 50:
- The square root of 50 is approximately 7.07.
- This means that the integers between 1 and 7 could be potential perfect squares within the range of 50 and 60.

Square root of 60:
- The square root of 60 is approximately 7.75.
- This means that the integers between 1 and 7 could be potential perfect squares within the range of 50 and 60.

Step 2:
- We square each integer between 1 and 7 to determine if any of them fall within the range of 50 and 60.

Square of 1:
- The square of 1 is 1, which is not within the range of 50 and 60.

Square of 2:
- The square of 2 is 4, which is not within the range of 50 and 60.

Square of 3:
- The square of 3 is 9, which is not within the range of 50 and 60.

Square of 4:
- The square of 4 is 16, which is not within the range of 50 and 60.

Square of 5:
- The square of 5 is 25, which is not within the range of 50 and 60.

Square of 6:
- The square of 6 is 36, which is not within the range of 50 and 60.

Square of 7:
- The square of 7 is 49, which falls within the range of 50 and 60.

Step 3:
- Based on our calculations, we have determined that the only perfect square number between 50 and 60 is 49.

Final Answer:
- The correct answer is option C, which states that there is no perfect square number between 50 and 60.