SSC CPO 2020201)If (5√5x3 – 3√3y3) ÷ (√5x – √3y) = (Ax2 + By2 + Cxy), then what is the value of (3A – B – √15C) ?
-3
SSC CPO 2020202)If x + y + z = 19, x2 + y2 + z2 = 133 and xz = y2, x > z > 0, what is the value of (x - z) ?
5
SSC CPO 2020203)X4 + X-4 = 194, X > 0, then what is the value of X + \(\frac{1}{X}\) + 2 ?
6
SSC CPO 2020204)If a + b + c = 0, then the value of \(\frac{{a^2}}{{bc}} +\)\(\frac{{b^2}}{{ac}} +\)\(\frac{{c^2}}{{ab}} \) is:
3
SSC CPO 2020205)If a2 + b2 = 82 and ab = 9, then a possible value of a3 + b3 is:
730
SSC CPO 2020206)In a school, 5/12 of the number of students are girls and the rest are boys. 4/7 of the number of boys are below 14 years of age, and 2/5 of the number of girls are 14 years or above 14 years of age. If the number of students below 14 years of age is 1120, then the total number of students in the school is:
1920
SSC CPO 2020207)If x + y + z = 19, xyz = 216 and xy + yz + zx = 114, then the value of \(\sqrt {{x^3} + {y^3} + {z^3} + xyz}\) is:
35
SSC CGL 2022208)If (x + 6y) = 8, and xy = 2, where x > 0, what is the value of (x3 + 216y3)?
224
SSC CGL 2022209)If x + y + 3 = 0, then find the value of x3 + y3 - 9xy + 9.
-18
SSC CGL 2022210)Simplify the following expression: \({{{(a^2-4b^2)}^3} + 64 {{(b^2 - 4c^2)}^3} + {{(16c^2 -a^2})^3}} \over {{(a-2b)^3} +{(2b-4c)^3} +{(4c-a)^3}}\)
2(a + 2b) (b + 2c) (4c + a)