Algebra – SSC CGL Mock Test 10 Qs | 10 Marks | 5 MinsNo negative markingPlease input correct details for the leaderboard Name Email City 1. If $a^2 + b^2 + c^2 = 6.25$ and $(ab + bc + ca) = 0.52$, what is the value of $(a + b + c)$, if $(a + b + c) < 0$? $\pm$2.8 -2.8 -2.7 $\pm$2.7 None 2. If $a^2 + b^2 = 65$ and $ab = 8$, with $a > b > 0$, then find the value of $a^2 - b^2$. 65 72 60 63 None 3. If $27(x + y)^3 - 8(x - y)^3 = (x + 5y)(Ax^2 + By^2 + Cxy)$, then what is the value of $(A + B - C)$? 11 18 16 13 None 4. If $X^{y^z}=1$, $Y^{z^x}=125$ and $Z^{y^x}=243$ (x, y and z are natural numbers), then what is the value of $9x + 10y - 18z$? 18 12 15 5 None 5. If $x^4+\frac{1}{x^4} = 727$, $x>1$, then what is the value of $\left(x-\frac{1}{x}\right)$? -5 -6 6 5 None 6. If $x^2 + 4y^2 = 53$ and $x - 2y = 5$, then what is the value of $x^3 - 8y^3$? 155 335 85 -85 None 7. Simplify $(x - y + z)^2 - (x - y - z)^2$. 4xz + 4yz 2xz + 2yz 4yz - 4xz 4xz - 4yz None 8. If $a^3 + b^3 = 405$ and $a + b = 9$, then the value of $ab$ is 15 8 10 12 None 9. If $x^2 + \frac{1}{x^2} = 7$, then the value of $x^3 + \frac{1}{x^3}$ where $x > 0$ is equal to: 15 18 12 16 None 10. If $x + y + z = 18$, $xyz = 81$ and $xy + yz + zx = 90$, then the value of $x^3 + y^3 + z^3 + xyz$ is: 1250 1296 1321 1225 None 1 out of 10 Practice SSC CGL Topic wise Mock TestsCrack SSC CGL with Adaptive PracticeAdaptive Practice | Real Time ProgressStart Practice!
