11)

If 8k⁶ + 15k³ – 2 = 0, then the positive value of \(\left( {{\rm{k}}\,{\rm{ + }}\,\frac{1}{{\rm{k}}}} \right)\) is :

SSC CGL 2022

A)

\(8\frac{1}{2}\)

B)

\(2\frac{1}{8}\)

C)

\(2\frac{1}{2}\)

D)

\(8\frac{1}{8}\)

12)

What is the value of x, if \(5\left( {1 - \frac{x}{5}} \right) - (5 - x) - \frac{1}{{200}}{\rm{of (20 - x) = 0}}{\rm{.08}}\) ?

SSC CGL 2022

A)

24

B)

9

C)

18

D)

36

13)

If x + y + z = 18, xyz = 81 and xy + yz + zx = 90, then the value of x³ + y³ + z³ + xyz is :

SSC CGL 2022

A)

1225

B)

1250

C)

1321

D)

1296

14)

If 2√2x³ - 3√3y³ = (√2x - √3y)(Ax² - Bxy + Cy²), then the value of (A² + B² + C²) is:

SSC CGL 2022

A)

16

B)

19

C)

11

D)

18

15)

If x + y + z = 18, xyz = 81 and xy + yz + zx = 90, then find the value of \(\sqrt[4]{x^3+y^3+z^3+xyz} \)

SSC CGL 2022

A)

10

B)

9

C)

6

D)

12

16)

What is the value of p, if 25(3 + 4p) ÷ 12 of 5 - 3 × 8 = 6?

SSC CGL 2022

A)

\(17\frac{1}{4}\)

B)

\(15\frac{1}{3}\)

C)

69

D)

72

17)

If x + y + z = 2, xy + yz + zx = -11, and xyz = -12, then what is the value of x³ + y³ + z³?

SSC CGL 2022

A)

42

B)

36

C)

38

D)

40

18)

If a + b - c = 5 and ab - bc - ac = 10, then find the value of a² + b² + c².

SSC CGL 2022

A)

5

B)

45

C)

40

D)

15

19)

If a² + b² + 49c² + 18 = 2(b - 28c - a), then the value of (a - b - 7c) is:

SSC CGL 2022

A)

2

B)

3

C)

4

D)

1

20)

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:

SSC CGL 2022

A)

\(\sqrt {17}\)

B)

\(\sqrt {11}\)

C)

\(\sqrt {19}\)

D)

\(\sqrt {21}\)