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: $x$
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: Seven students A, B, C, D, X, Y and Z are sitting in their classroom facing in the southern direction. A and D do not sit together. Z sits second to the left of X. B does not sit with Z. X is fourth to the right of C. A and B are not sitting together. C sits in between D and Y Y sits second to the left of the one who sits second to the left of B. Who sits at the extreme ends?
Option 1: B and D
Option 2: C and Y
Option 3: Z and X
Option 4: A and B
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