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# Marco is making z pizzas and will distribute x slices of pepperoni to

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Re: Marco is making z pizzas and will distribute x slices of pepperoni to [#permalink]
Question: In simple words, it is saying that z pizzas, x slices and x/z = integer. Also we are provided with range of x which is 3z< x < 8z so x can take values = 4z, 5z, 6z and 7z. Also z >= 4.

Stmt (1): In simple words, if z be z-2 then also x/(z-2) = integer.
We have to check if only one such case exists for z and x in provided constraints. If it doesn't then it is insufficient by itself.
Let z = 4, then z-2 = 2. Assume x = 4z = 16. In this case x/z and x/(z-2) are both integers.
Let z = 4, then z-2 = 2. Assume z = 6z = 24. In this case too, x/z and x/(z-2) are both integers. Hence insufficient.

Stmt (2): In simple words, if z be z+5 then also x/(z+5) = integer.
We have to check if only one such case exists for z and x in provided constraints. If it doesn't then it is insufficient by itself.
Let z = 5, then z+5 = 10. Assume x = 4z = 20. In this case x/z and x/(z+5) are both integers.
Let z = 5, then z+5 = 10. Assume z = 6z = 30. In this case too, x/z and x/(z+5) are both integers. Hence insufficient.

Stmt (1) and Stmt (2): In simple words, if z be z-2 then also x/(z-2) = integer ALSO if z be z+5 then also x/(z+5) = integer.
This time instead of making cases, see if already taken values of x satisfy both these conditions.
Let z = 5, z-2 = 3 and z+5 = 10. Assume z = 6z = 30. In this case, x/z, x/(z-2) and x/(z+5) are all integers. Hence sufficient.