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GMATLA-PS-4

A gardener is going to plant 2 red rosebushes and 2 white rosebushes.  If the gardener is to select each of the bushes at random, one at a time, and plant them in a row, what is the probability that the 2 rosebushes in the middle of the row will be the red rosebushes?


GMATLA-PS-3

A circular mat with diameter 20 inches is placed on a square tabletop, each of whose sides is 24 inches long.  Which of the following is closest to the fraction of the tabletop covered by the mat?


GMATLA-PS-2

If n is the product of the integers from 1 to 20 inclusive, what is the greatest integer k for which 2k is a factor of n?


GMATLA-PS-1

Acertain roller coaster has 3 cars, and a passenger is equally likely to ride inany 1 of the 3 cars each time that passenger rides the roller coaster.  If a certain passenger is to ride the rollercoaster 3 times, what is the probability that the passenger will ride in eachof the 3 cars?


OG2017Q-PS-176 | OG2018Q-PS-176

$$\frac{2\tfrac{3}{5}-1\frac{2}{3}}{\frac{2}{3}-\frac{3}{5}}=$$


OG2017Q-PS-175 | OG2018Q-PS-175

A square wooden plaque has a square brass inlay in the center, leaving a wooden strip of uniform width around the brass square. If the ratio of the brass area to the wooden area is 25 to 39, which of the following could be the width, in inches, of the wooden strip?

I. 1

II. 3

III. 4


OG2017Q-PS-174 | OG2018Q-PS-174

Running at their respective constant rates, Machine X takes 2 days longer to produce w widgets than Machine Y. At these rates, if the two machines together produce ~$5 \over 4$~ w widgets in 3 days, how many days would it take Machine X alone to produce 2W widgets?


OG2017Q-PS-173 | OG2018Q-PS-173

If x, y, and z are positive integers such that x is a factor of y, and x is a multiple of z, which of the following is NOT necessarily an integer?


OG2017Q-PS-172 | OG2018Q-PS-172

A certain grocery purchased x pounds of produce for p dollars per pound. If y pounds of the produce had to be discarded due to spoilage and the grocery sold the rest for s dollars per pound, which of the following represents the gross profit on the sale of the produce?


OG2017Q-PS-171 | OG2018Q-PS-171

If n is a positive integer and n2 is divisible by 72, then the largest positive integer that must divide n is


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