SSC CHSL 2021161)Given that 3√3x3 - 8y3 = (√3x + Ay)(3x2 + By2 + Cxy), the value of (A2 + B2 - C2) is:
8
SSC CHSL 2021162)If 3x - 2y + 3 = 0, then what will be the value of 27x3 + 54xy + 30 - 8y3 ?
3
SSC CHSL 2021163)The value of a3 + b3 + c3 - 3abc, when a = 125, b = 127 and c = 129, is:
4572
SSC CHSL 2021164)If \(a = \frac{\sqrt{5}+2}{\sqrt{5}-2}\) and \(b ={\sqrt5-2\over\sqrt5+2}\), then the value of 2a2 + 2b2 - 5ab is equal to:
639
SSC CHSL 2021165)If (7x - 10y) = 8 and xy = 5, then what is the value of 49x2 + 100y2?
764
SSC CHSL 2021166)If \(x^2+{1\over x^2}=83\), x > 0, then the value of \(x^3-\frac{1}{x^3}\) is:
756
SSC CHSL 2021167)A,B, C and D are four positive numbers such that A is \(\frac{3}{4}\) times of B, B is \(\frac{4}{5}\) times of C, and C is \(\frac{3}{8}\) times of D. If the average of 4 times of A and 7 times of D is 316, then the average of all the four numbers A, B, C and D is:
38
SSC CHSL 2021168)If x2 + (4 - √3)x - 1 = 0, then what is the value of \(x^2+\frac{1}{x^2} \)?
21 - 8√3
SSC CHSL 2021169)If \(x+{1\over x}=\sqrt{13}\), then one of the values of \(x^3-\frac{1}{x^3}\) is:
36
SSC Selection Post Matric 2022170)[(4a — 5b)3 + (5b — 3c)3 — (4a — 3c)3] is equal to:
-3(4a - 5b)(5b - 3c)(4a - 3c)