What is the smallest positive integer x such that 120-x is the cube of a positive integer?

What is the smallest positive integer x such that 120-x is the cube of a positive integer?

Quiz

Answer/Solution

5

Steps/Work

Given 130-x is a perfect cube
so we will take 125 = 5*5*5
130-x = 125
x = 130-125 = 5
correct option is C