SSC CGL 2022211)If (4x+2y)3+(4x−2y)3=16(Ax3+Bxy2), then what is the value of \({1\over 2 }{(\sqrt{A^2 +B^2})}\)?
5
SSC CGL 2022212)If \(x = 4 + \sqrt{15}\) , what is the value of \( \left( {{x^2}\, + \,\frac{1}{{{x^2}}}} \right)\)?
62
SSC CGL 2022213)If a2 + b2 + c2 = 6.25 and (ab + bc + ca) = 0.52, what is the value of (a + b + c), if (a + b + c) < 0?
-2.7
SSC CGL 2022214)If x + y + z = 11, xy + yz + zx = -6, and x3 + y3 + z3 = 1604, then the value of xyz is:
25
SSC CGL 2022215)If a2 + b2 + 49c2 + 18 = 2(b - 28c - a) then the value of (a + b - 7c) is:
4
SSC CGL 2022216)If a + b + c = 6, a2 + b2 + c2 = 32, and a3 + b3 + c3 = 189, then the value of abc - 3 is:
0
SSC CGL 2022217)If x - y + z = 0, then find the value of \(\frac{{{y^2}}}{{2xz}}\, - \,\frac{{{x^2}}}{{2yz}}\, - \,\frac{{{z^2}}}{{2xy}} \)
\(\frac{3}{2}\)
SSC CGL 2022218)If 8k6 + 15k3 – 2 = 0, then the positive value of \(\left( {{\rm{k}}\,{\rm{ + }}\,\frac{1}{{\rm{k}}}} \right)\) is :
\(2\frac{1}{2}\)
SSC CGL 2022219)What is the value of x, if \(5\left( {1 - \frac{x}{5}} \right) - (5 - x) - \frac{1}{{200}}{\rm{of (20 - x) = 0}}{\rm{.08}}\) ?
36
SSC CGL 2022220)If x + y + z = 18, xyz = 81 and xy + yz + zx = 90, then the value of x3 + y3 + z3 + xyz is :
1296