11)

If a + b + c = 8 and ab + bc + ca = 2, then what is the value of a³ + b³ + c³ - 3abc?

SSC Selection Post Matric 2022

A)

547

B)

449

C)

452

D)

464

12)

If x - y = 4 and x³ - y³ = 316, y > 0, then the value of x² - y² is:

SSC Selection Post Matric 2022

A)

24

B)

32

C)

48

D)

40

13)

If a + b + c = 8 and ab + bc + ca = 11, then what is the value of \(\left(\frac{a^2+b^2+c^2-3abc}{4}\right)\)?

SSC Selection Post Matric 2022

A)

56

B)

60

C)

62

D)

65

14)

If a + b = \(3\over4\) and ab = \(\frac{1}{8}\), then the value of a⁴ + b⁴ + ab³ + ba³ is:

SSC Selection Post Matric 2022

A)

\(\frac{27}{128}\)

B)

\(\frac{9}{256}\)

C)

\(\frac{27}{256}\)

D)

\(\frac{9}{64}\)

15)

If x² + y² + z² + 26 = 2(4x + y + 3z), then find the value of x + y + z.

SSC Selection Post Matric 2022

A)

8

B)

2

C)

6

D)

4

16)

If \(x+{1\over x}= 1 -\sqrt2\), then find the value of \(x^3+{1\over x^3}\). 

SSC Selection Post Matric 2022

A)

\(4 - 2 \sqrt2\)

B)

\(2 - \sqrt2\)

C)

\(2\sqrt2 - 4\)

D)

\(4 + 2 \sqrt2\)

17)

If \(x+{1\over x}=5\), then find the value of \(x^2+{1\over x^2}\).

SSC Selection Post Matric 2022

A)

22

B)

10

C)

20

D)

23