SSC CGL 2020 PYQ — Question 13

SSC CGL Tier II - Quant - 18 Nov 2020 • Quantitative Aptitude • Q13

If √x  + 1√x\frac{1}{√x}= 3, then the value of x3 + 1/x3 is:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 322.

 √x  + 1√x\frac{1}{√x}= 3.

On squaring both sides we get,

x + 1/x + 2 = 9

x + 1/x = 7

On cubing both side we get,

x3 + 1/x3 + 3(x + 1/x) = 343

x3 + 1/x3 = 343 - 21

x3 + 1/x3 = 322.