Question : If a + b = 6 and ab = 4, then what is the value of a³ + b³?

Option 1: 125

Option 2: 120

Option 3: 144

Option 4: 81

Question : Directions: If 14 A 7 B 3 = 5 and 16 A 4 B 3 = 7, then 39 A 3 B 17 = ?

Option 1: 28

Option 2: 30

Option 3: 34

Option 4: 22

Question : If $a + b + c = 12$ and $ab + bc + ca = 22$, then what is the value of $a^3 + b^3 + c^3 - 3abc ?$

Option 1: 1052

Option 2: 936

Option 3: 924

Option 4: 876

Question : If $\sqrt{a}=3b$, then $\frac{a}{b^2}$ is equal to:

Option 1: $\frac{1}{6}$

Option 2: $6$

Option 3: $\frac{1}{9}$

Option 4: $9$

Question : If $5\tan\theta=4$, then $\frac{5\sin\theta-3\cos\theta}{5\sin\theta+2\cos\theta}$ is equal to:

Option 1: $\frac{2}{3}$

Option 2: $\frac{1}{4}$

Option 3: $\frac{1}{6}$

Option 4: $\frac{1}{3}$