Question : If $\small x+3y-\frac{2z}{4}=6, \; x+\frac{2}{3}(2y+3z)=33$ and $\frac{1}{7}(x+y+z)+2z=9,$ then what is the value of $46x+131y$?

Option 1: 414

Option 2: 364

Option 3: 384

Option 4: 464

Question : What is the equation of the line perpendicular to the line $2x+3y=-6$ and having y-intercept 3?

Option 1: $3x-2y=6$

Option 2: $3x-2y=-6$

Option 3: $2x-3y=-6$

Option 4: $2x-3y=6$

Question : If $(2x-y)^{2}+(3y-2z)^{2}=0$, then the ratio $x:y:z$ is:

Option 1: $1 : 3 : 2$

Option 2: $1:2:3$

Option 3: $3:1:2$

Option 4: $3:2:1$

Question : If $\frac{3–5x}{2x}+\frac{3–5y}{2y}+\frac{3–5z}{2z}=0$, the value of $\frac{2}{x}+\frac{2}{y}+\frac{2}{z}$ is:

Option 1: 20

Option 2: 5

Option 3: 10

Option 4: 15

Question : The length of the base of an isosceles triangle is $2x-2y+4z$ and its perimeter is $4x-2y+6z$. Then the length of each of the equal sides is:

Option 1: $x+y$

Option 2: $x+y+z$

Option 3: $2(x+y)$

Option 4: $x+z$