Question : If $65 \%$ of $350-? \%$ of $250+40 \%$ of $120=158$, then find the value of?

Option 1: 57

Option 2: 63

Option 3: 47

Option 4: 54

Question : If $k^4+\frac{1}{k^4}=47$, then what is the value of $k^3+\frac{1}{k^3}$?

Option 1: 4.5

Option 2: 54

Option 3: 18

Option 4: 9

Question : If $(a + b + c) = 13$ and $(ab + bc + ca) = 54$, find the value of $\left(a^2+b^2+c^2\right)$.

Option 1: 63

Option 2: 65

Option 3: 61

Option 4: 59

Question : If $x+\frac{1}{x}=2$, then the value of $x^{57}+\frac{1}{x^{57}}$ is:

Option 1: 1

Option 2: –2

Option 3: 0

Option 4: 2

Question : If $x=2-2^{\frac{1}{3}}+2^{\frac{2}{3}}$, then find the value of $x^3-6 x^2+18 x$.

Option 1: 40

Option 2: 33

Option 3: 45

Option 4: 22

Question : If $2p + q = 19$ and $8p^3+q^3=361$, then find the value of $pq$.

Option 1: 56

Option 2: 59

Option 3: 58

Option 4: 57