If (20)³ is subtracted from the square of a number, the answer so obtained is 4321. What is the number?

Correct option is A

Given:

1. $$(20)^3$$​ is subtracted from the square of a number.

2. The result is 4321 .

3. We need to find the number.

Solution:

Let the number be x .

The equation becomes:

​$$x^2 - (20)^3 = 4321$$​

1. Calculate $$(20)^3$$​:

​$$(20)^3 = 20 \times 20 \times 20 = 8000$$​

2. Substitute $$(20)^3$$​ = 8000 into the equation:

​$$x^2$$​ - 8000 = 4321

3. Solve for $$x^2$$​ :

​$$x^2$$​ = 4321 + 8000

​$$x^2$$​ = 12321

4. Find x by taking the square root:

x = $$\sqrt{12321}$$​

x = 111

Final Answer:

The number is 111 .