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Magoosh The Cyclepaths Bicycle Factory has 300 bicycles in stock. The bicycles are either blue or red, and they come in two sizes: large and small. If 175 of the bicycles are blue, and 140 are large, how many are both blue and large?(1) There 90 small red bicycles.(2) There are twice as many small blue bicycles as there are large red bicycles.
Magoosh A box contains bags of marbles. All of the bags hold the same number of marbles except one bag, which holds one marble more than each of the other bags hold. If the box contains a total of 2001 marbles, how many bags are in the box?(1) The number of bags is between 13 and 23 inclusive(2) There is an even number of bags, and there is an even number of marbles in the bag containing the extra marble.
Magoosh In a certain group, the average (arithmetic mean) age of the males is 28, and the average age of the females is 30. If there are 100 people in the group, how many of them are males?(1) The average age of all 100 people is 28.9 (2) There are 10 more males than there are females.
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Eager to hire the financial analyst with such impressive credentials, it was planned by the hiring manager to offer him a large signing bonus.

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The two-week hunting trip undertaken by twelve-year-old Inuit boys on North Baffin Island is not necessary to the community’s survival, but they are still considered important rites of passage by the Inuits, who have extended the tradition to include young girls.

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The zoo is reviewing a potential exhibit modification to permit diana monkeys to retrieve food from trees instead of being limited to an unnatural metal food trough.

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After prototypes of the company’s power supply system caused a number of fires, the design team promised the implementation of stricter testing procedures as those which were originally promised and to enforce continued maintenance of the potentially hazardous piece of equipment.

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To imprint their personal signature onto a document, many people in ancient Mesopotamia used cylinder seals, each with its own unique pattern or decoration inscribed on its surface.

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The government of Vilaria declared that limitations on the sale of diesel vehicles would continue because no significant improvements to fuel composition occurred in the past year to make the emissions any safer for the environment.

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Sounding, which involved dropping weighted lines into the water and noting when the tension disappeared, was one of the several procedures that was an important role to play in early attempting to map the ocean floor.

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Signals from a cochlear implant are recognized as sound when the brain receives signals directly from the cochlear implant that generates them by stimulating the auditory nerve, implanted directly into the brain.

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Previously, most vehicle manufacturers ignored fuel efficiency in favor of speed and performance. Fuel efficiency was difficult to engineer and manufacturers paid little attention to excessive fuel consumption in developing their designs. This year the most sold vehicle in the United States has been the most fuel efficient one—a certain sign that manufacturers are becoming more concerned with limiting wasteful fuel usage than optimizing a vehicle’s speed.

Which of the following, if true, most seriously weakens the argument above?

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If , which of the following statements must decrease as decreases?

  I.

 II.

III.

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On the circle above with center , the length of arc is . What is the circumference of the circle?

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In the -plane shown, the shaded region consists of all points that lie below the graph of and above the x-axis. Does the point (not shown) lie in the shaded region if ?

(1)

(2)

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A commuter has a total of 40 tokens this month to ride the bus or the subway. Each bus token cost $3. Each subway token cost $2. How many subway tokens does the commuter have?

(1) The average (arithmetic mean) cost of each token the commuter has is $2.25.

(2) The commuter paid a total of $90 for all tokens this month.

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What is the value of ?

(1)

(2)

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What is the area of rectangle ?

(1) Each diagonal of  has length .

(2) The perimeter of  is .

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A rectangular quilt is shown above. The width of the quilt is feet and the quilt's border has uniform width. What are the dimensions of the quilt?

(1) The area of the border is square feet.

(2) The perimeter of the inner rectangle is feet.

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A rectangular rug is a third as long as it is wide. If its area is 45 square feet, then its dimensions in feet are

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