SSC CGL 2022221)If 2√2x3 - 3√3y3 = (√2x - √3y)(Ax2 - Bxy + Cy2), then the value of (A2 + B2 + C2) is:
19
SSC CGL 2022222)If x + y + z = 18, xyz = 81 and xy + yz + zx = 90, then find the value of \(\sqrt[4]{x^3+y^3+z^3+xyz} \)
6
SSC CGL 2022223)What is the value of p, if 25(3 + 4p) ÷ 12 of 5 - 3 × 8 = 6?
\(17\frac{1}{4}\)
SSC CGL 2022224)If x + y + z = 2, xy + yz + zx = -11, and xyz = -12, then what is the value of x3 + y3 + z3?
38
SSC CGL 2022225)If a + b - c = 5 and ab - bc - ac = 10, then find the value of a2 + b2 + c2.
5
SSC CGL 2022226)If a2 + b2 + 49c2 + 18 = 2(b - 28c - a), then the value of (a - b - 7c) is:
2
SSC CGL 2022227)if \(2 \sqrt{2}x^3- 3 \sqrt{3}y^3\) = \((\sqrt2x-\sqrt3y)\) (Ax2- Bxy+ Cy2), then the value of \(\sqrt {(A^2 + B^2 + C^2)}\) is:
\(\sqrt {19}\)
SSC CGL 2022228)\(\sqrt{x}-{1\over \sqrt{x}}= \sqrt{3}\), then what is the value of \(x^4+\frac{1}{{{x^4}}} \)?
527
SSC CGL 2022229)If a3 + b3 = 218 and a + b = 2, then the value of \(\sqrt {1 - ab}\) is:
6
SSC CGL 2022230)If x + y + z = 7, xy + yz + zx = 8, then what is the value of x3 + y3 + z3 - 3xyz?
175