A cyclist moves from point X point y 1000 m away on a straight road in 4 minute 30 second after reaching Y she turns around and cycle back 400 m to point Z in 2min what are her average speed and velocties cycling from X to Y from X to Z through Y?

Question : What is $\frac{\left (x^{2}-y^{2} \right)^{3}+\left (y^{2}-z^{2} \right )^{3}+\left (z^{2}-x^{2} \right )^{3}}{\left (x-y \right)^{3}+\left (y-z \right )^{3}+\left (z-x \right)^{3}}?$

Option 1: $\frac{(x+y)(y+z)}{(x+z)}$

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

Option 3: $(x+y)(y+z)(z+x)$

Option 4: $(x+y)(y+z)$

Question : Directions: A person starts from point Z and moves 7 km towards the South. He turns right and moves 5 km, turns right and moves 3 km, then turns right and moves 1 km. He takes a left turn and moves 4 km to reach point X. How much and in which direction does he need to move now to reach point Z?

Option 1: 4 km South

Option 2: 4 km East

Option 3: 4 km West

Option 4: 6 km East

Question : What is the simplified value of $\frac{(x+y+z)(x y+y z+z x)–x y z}{(x+y)(y+z)(z+x)}$?

Option 1: $y$

Option 2: $z$

Option 3: $1$

Option 4: $x$