Squares and Cubes for SSC CGL: Learn How to Find Easily

Quantitative aptitude is one of the most scary and time-consuming sections of the SSC CGL exam. If you want to boost your problem-solving skills, then you must learn at least 1-50 squares and cubes for SSC CGL. SSC will not ask you questions about squares and cubes directly in the exam, but you will be required to implement this in some quant questions. Keep memorizing and finding squares and cubes instantly can be tough or time-consuming. To solve this problem, we have provided this blog in which you will find tips to memorize and learn them easily. Along with that, we have provided 1-50 squares and cubes and a calculator by which you can find squares and cubes and their roots of any number.

Basic Concepts of Squares, Cubes, and Their Roots

Here we have provided a basic concept of squares and cubes and their notations.

What is a Square?

The square of a number is the number multiplied by itself. Ex: 5²=5×5=25
Notation: Square of a number 𝑎 is written as: 𝑎²

What is a Square Root?

The square root of a number is a value that, when multiplied by itself, gives the original number. Ex: √25=5
Notation: Square root of a number 𝑎 is written as √𝑎

What is a Cube?

The cube of a number is the number multiplied by itself three times. Ex: 5³=5×5×5=125
Notation: Cube of a number 𝑎 is written as: 𝑎³

What is Cube Root?

The cube root of a number is a value that, when multiplied by itself three times, yields the original number. Ex: ∛27=3

Notation: Cube root of a number 𝑎 is written as ∛a

Difference Between Square and Cube

Squares and Cubes for SSC CGL, Learn from 1 to 50

Here, we have provided the squares and cubes from 1-50 in a table format for your conveinience. You are strongly advised to make a habit of learning at least 10 squares and cubes daily so that you can learn and memorize them easily. Along with that, below we have provided a calculator to find the square and cube, and the square root and cube root of any number.

Calculator to Find Square and Cube & Square Root and Cube Root

Here, we have provided calculators. One is to find the square and cube of any number, and the second is to find the square and cube root of any number.

Tips and Tricks to Learn and Find Square and Cube for SSC CGL

Solving, finding, and memorizing squares and cubes of any number can be difficult or time-consuming, but it can be made easy if you use the tips and tricks that we have provided below. Practice and implement these tips and tricks so that you can prepare them easily.

1. Squaring a number ending in 5:

Formula: (a5)²=a(a+1) followed by 25
Example: 25²=2×3=6, add 25 → 625

2. Near Square Trick:

If you know 30² = 900,
Then:
31²=30²+2×30+1=961 [Formula Used: (a+b)²=a²+2ab+b²]
29²=30²−2×30+1=841 [Formula Used: (a-b)²=a²-2ab+b²]

3. Cube of numbers ending in 1 to 9:

Use known values (e.g., 4³=64)
Memorize cubes of 1–20 for fast access.

4. Use identity:
(a+b)³ or (a−b)³ if the number is near 10, 20, etc.

Formula:
1. (a+b)³=a³+b³+3ab(a+b)
2. (a-b)³=a³-b³-3ab(a-b)
Example: 21³=(20+1)³=8000+3×400×1+3×20×1²+1= 9261

5. Use Flashcards: Create flashcards for better memorization. You are advised to use them in a way that writes a number on one side and writes its square and cube on the other side.

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FAQs: Squares and Cubes for SSC CGL

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