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Test version X of a soft drink is made up of 1 part syrup and 3 parts carbonated water. Test version Y is made up of 1 part syrup and 2 parts carbonated water. Finally, test version Z is a mixture of X and Y that has a 3:7 ratio of syrup to carbonated water. How many liters of test version X are needed to make 50 liters of test version Z?
What is the sum of x, y, and z?
(1) x : y : z = 3 : 8 : 9
(2) y − x = 20
A deck of 52 red cards contain 26 blank cards and 26 cards each with a letter from A to Z. A deck of 65 blue cards contain 39 blank cards and 26 cards each with a letter from A to Z. If one red card and one blue card are selected at random, what is the probability that both cards will have the same letter?
A certain right triangle has side lengths , , and , where . If the area of this triangular region is , which of the following is the value of ?
[GMAT-Math-7098-q-GEO]
In the figure shown, lines k and m str parallel to each other. Is x = z?
(1) x = w
(2) y = 180 - w
Is wx > y3z?
(1) wx > yz
(2) y = 1