Question : If a + b + c = 1, ab + bc + ca = –1, and abc = –1, then what is the value of a³ + b³ + c³?

Option 1: 1

Option 2: 5

Option 3: 3

Option 4: 2

Question : If $a + b + c = 0$ and $ab + bc + ca = -11$, then what is the value of $a^2+b^2+c^2$?

Option 1: –11

Option 2: 22

Option 3: 0

Option 4: 11

Question : If (a + b + c) = 7 and ab + bc + ca = 12, find the value of a² + b² + c².

Option 1: 29

Option 2: 31

Option 3: 27

Option 4: 25

Question : If a + b + c = 15 and a² + b² + c² = 83 then the value of a³ + b³ + c³ – 3abc:

Option 1: 200

Option 2: 180

Option 3: 190

Option 4: 210

Question : For real $a, b, c$ if $a^2+b^2+c^2=ab+bc+ca$, then value of $\frac{a+c}{b}$ is:

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 0