Kramer can pack X boxes of cigarettes per minute. If there are Y boxes of cigarettes in one case, How many cases can Kramer pack in 2 hours?
Answer(s): B
Y/X is the time it takes Kramer to fill a case with boxes (in minutes).In two hours there are 120 minutes, so 120/(Y/X) is 120X/Y, and that is the number of cases that Kramer can fill in two hours.
The roof of an apartment building is rectangular and its length is 4 times longer than its width. If the area of the roof is 784 feet squared, what is the difference between the length and the width of the roof?
The area of a rectangle is (length) x (width), let X be the width of the roof 4X2 = 784 X2 = 196 X = 14.The width of the roof is 14 and the length is 56. The difference is (56-14 = 42).
The length of a cube is three times its width and half of its height. If the volume of the Cube is 13,122 Cm cubed. What is the height of the cube?
Answer(s): C
Normalize each dimension to the width of the cube (W).The length is 3 times the width, therefore its 3W, which is half of the height (6W). The volume of the cube is 13,122 = 6W x 3W x W = 18W3 W3 = 729 W = 9.The height of the cube is six times the width, therefore its 54 meters.
The width of a cube is half the length and one third of the height. If the length of the cube is 4 meters, what is the volume of three identical cubes?
Answer(s): A
Normalize all the dimensions to the width. Let the width be X. The length is twice the width, thus 2X.The height is 3 times the width, thus 3X. The volume of the cube is = 6X3.The length is equal to 4 2X = 4 X = 2 Volume = 6 x 8 = 48. The volume of two cubes will be 96.
Two brothers took the GMAT exam, the higher score is X and the lower one is Y.If the difference between the two scores is equal to their average, what is the value of Y/X ?
Answer(s): D
If the difference is equal to the average, then we could write the equation: X – Y = (X +Y)/2. X – 3Y = 0 Y/X = 1/3.
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