Question
GeneralGeneralGeneral

How many square numbers are there between 0 and 30?

Verified Answer

The square numbers between 0 and 30 are:

1, 4, 9, 16, and 25

These numbers are called perfect squares because they are obtained by multiplying a whole number by itself.

Examples:
• 1 = 1 × 1
• 4 = 2 × 2
• 9 = 3 × 3
• 16 = 4 × 4
• 25 = 5 × 5

The next square number is:
• 36 = 6 × 6

Since 36 is greater than 30, it is not included.

Therefore, the total number of square numbers between 0 and 30 is:

5

Quick Trick for Competitive Exams

To identify square numbers quickly:
• 1² = 1
• 2² = 4
• 3² = 9
• 4² = 16
• 5² = 25
• 6² = 36

Stop once the square exceeds the given limit.

Important Points About Square Numbers

• A square number always has an integer square root.
• Square numbers never end with 2, 3, 7, or 8.
• They are commonly asked in aptitude, reasoning, and numerical ability questions.

Applications of square numbers:
• Geometry
• Algebra
• Competitive exams
• Mental maths calculations