SSC Selection Post 2024 PYQ — Question 72

SSC Selection Post - Higher Secondary Level - 25 June 2024 - Shift 4 • Quantitative Aptitude • Q72

If x+1x=7x+ {{1} \over x}=7, then find the value of x3+1x3x^3+ {{1} \over x^3}.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 322.

x3+1x3x^3+ {{1} \over x^3} = (x+1xx+ {{1} \over x})3 - 3(x+1xx+ {{1} \over x})

⇒ x3+1x3x^3+ {{1} \over x^3} = 73 - 3 × 7 

⇒ 343 - 21 = 322