Which of the following cannot be the square of a natural number?

Given data

• Options: 1537, 4096, 6241, 7744.

Concept / Approach

• Squares in base-10 cannot end with 2, 3, 7, or 8.
• Recognize known perfect squares to confirm.

Step-by-step reasoning

4096 = 64²6241 = 79²7744 = 88²1537 ends with 7 ⇒ cannot be a perfect square

Common pitfalls

• Assuming any odd ending can be a square; endings 2, 3, 7, 8 are impossible for squares.

Final Answer

1537