Question : A toffee company prepares toffee of two different flavours X and Y. The bar graph below expresses the production of two flavours over 4 years.

What is the difference between the average production of flavour X in 2017 and 2018 and the average production of flavour Y in 2019 and 2020?

Option 1: 6000 packs

Option 2: 6400 packs

Option 3: 7500 packs

Option 4: 7000 packs

Question : The graphs of the equations 7$x$ + 11$y$ = 3 and 8$x$ + $y$ = 15 intersect at the point P, which also lies on the graph of the equation:

Option 1: 2$x$ + $y$ = 2

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

Option 3: 3$x$ + 5$y$ = 1

Option 4: 3$x$ + 2$y$ = 3

Question : The third proportional of the following numbers $(x-y)^2, (x^2-y^2)^2$ is:

Option 1: $(x+y)^3(x-y)^2$

Option 2: $(x+y)^4(x-y)^2$

Option 3: $(x+y)^2(x-y)^2$

Option 4: $(x+y)^2(x-y)^3$

Question : Simplify the given expression.
$y+2 x-[(y-(y-x+y)-(x+y)+y]-2 y$

Option 1: $-y$

Option 2: $-2x$

Option 3: $y$

Option 4: $2x$

Question : The third proportional to $\left(x^2-y^2\right)$ and $(x-y)$ is:

Option 1: $(x -y)$

Option 2: $\frac{x-y}{x+y}$

Option 3: $\frac{x+y}{x-y}$

Option 4: $(x + y)$

Question : The factors of $x^2+4 y^2+4 y-4 x y-2 x-8$ are:

Option 1: $(x-2 y-4)(x-2 y+2)$

Option 2: $\left(x^2-2 y-4\right)\left(x^2-2 y+2\right)$

Option 3: $(x+2 y-4)(x+2 y+2)$

Option 4: $\left(x^2-2 y-4\right)\left(x^2+2 y+2\right)$