| If the square a number is subtracted from the cube of that number, the result in 48. Then, the number is |
A) 8
B) 5
C) 6
D) 4
Correct Answer: D
Solution :
| Let the number be x, |
| According to the question, |
| \[{{x}^{3}}-{{x}^{2}}=48\] |
| \[\Rightarrow \] \[{{x}^{2}}(x-1)={{4}^{2}}(4-1)\] |
| \[\Rightarrow \] \[x=4\] |
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