Question : The LCM of two prime numbers x and y (x > y) is 533. The value of 4y – x is:

Option 1: 18

Option 2: 11

Option 3: 23

Option 4: 21

Question : $\left(4 x^3 y-6 x^2 y^2+4 x y^3-y^4\right)$ can be expressed as:

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

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

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

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

Question : The linear equation such that each point on its graph has an ordinate four times its abscissa is:

Option 1: $y+ 4x= 0$

Option 2: $y = 4x$

Option 3: $x = 4y$

Option 4: $x+ 4y= 0$

Question : If $\left(5 \sqrt{5} x^3-3 \sqrt{3} y^3\right) \div(\sqrt{5} x-\sqrt{3} y)=\left(A x^2+B y^2+C x y\right)$, then the value of $(3 A+B-\sqrt{15} C)$ is:

Option 1: 8

Option 2: 5

Option 3: 3

Option 4: 12

Question : If $x^4+x^2 y^2+y^4=133$ and $x^2-x y+y^2=7$, then what is the value of $xy$?

Option 1: 8

Option 2: 12

Option 3: 4

Option 4: 6