Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If $P +\frac{1}{P}$ = 5, then what is the value of $P^3 +\frac{1}{P^3}$ ?

Options:

110

95

125

120

Correct Answer:

110

Explanation:

If x + \(\frac{1}{x}\)  = n

then, $x^3 +\frac{1}{x^3}$ = n3 - 3 × n

 

If $P +\frac{1}{P}$ = 5,

The value of $P^3 +\frac{1}{P^3}$  = 53 - 3 × 5 = 110