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Magoosh
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For a sale, the original retail price of a particular shirt and the original retail price of a particular hat were both reduced by 20 percent. The sale price of the hat is how many dollars more than the sale price of the shirt?(1) The original retail price of the hat was 10 dollars more than the original retail price of the shirt.(2) The original retail price of the hat was 50 percent greater than the original retail price of the shirt.
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Magoosh
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Is ABCD a rectangle?(1) ∠ADC = 90°(2) AD = BC Note: Figure not drawn to scale
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Magoosh
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Metropolitan Concert Hall was half full on Tuesday night. How many seats are in the Hall?Statement #1: If the number of people in the Hall increased by 20% from Tuesday night to Wednesday night, then the Hall would be 60% full on Wednesday night.Statement #2: If 20 more people showed up on Tuesday night, that would have increased the number of people in the Hall by 4%.
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Magoosh
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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.
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Magoosh
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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.
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Magoosh
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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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Magoosh
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Bert has exactly $1.37 of loose change in his pocket, including at least one of each: a penny ($0.01), a nickel ($0.05), a dime ($0.10), and a quarter ($0.25). He reaches into his pocket and pulls out one coin at random. What is the probability that the coin is a nickel?Statement #1: There are exactly seven pennies in his pocketStatement #2: There are exactly three quarters in his pocket
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Magoosh
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If a student is selected at random from Learngood Elementary, what is the probability that the student will be a boy?(1) There are 480 students at Learngood.(2) At Learngood, the ratio of boys to girls is 7 : 5
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Magoosh
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M is a rectangular solid. What is the volume of M?Statement #1: The bottom face of M has an area of 28, and the front face, an area of 35.Statement #2: All three dimensions of M are positive integers greater than one.
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Magoosh
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If Carl is 3 times as old as Bea, how old is Bea?(1) In nine years, Carl will be twice as old as Bea.(2) Six years ago, Carl was 7 times as old as Bea.
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Magoosh
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One number, k , is selected at random from a set of 11 consecutive even integers. What is the probability that
k = 10?(1) The average (arithmetic mean) of the set is zero.(2) The probability that k = 10 is the same as the probability that k = -10.
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Magoosh
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K is a set of integers such thati) if x is in K, then 2x is in Kii) if each of x and y is in K, then x + y is in KIs 15 in K?(1) 1 is in K.(2) 3 is in K.
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Magoosh
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Set K consists of a finite number of consecutive odd integers. If x is the smallest number in K and y is the greatest, then y - x =(1) The average (arithmetic mean) of set K is –36.(2) There are 8 numbers in set K.
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Magoosh
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The numbers a, b, c, and d are all positive, and J = $$\frac{a}{b}$$ and K = $$\frac{c}{d}$$. Is J greater than K?Statement #1: a < b, c < d, and c > aStatement #2: a + 7 = c and b + 4 = d
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Magoosh
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A square and a circle intersect at more than one point. Does the square have more area than the circle?Statement #1: there are exactly four intersection pointsStatement #2: at least two of the intersection points are on vertices of the square
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Magoosh
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In the xy-coordinate system, do any points on line k lie in quadrant III?(1) Line k has y-intercept 2(2) Line k has slope $$\frac {2}{3} $$
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Magoosh
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Q is a cube. What is the volume of the cube?Statement #1: The total surface area of Q is 150 sq. cmStatement #2: The distance from one vertex through the center of Q to the opposite vertex is $$5\sqrt{3}$$
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Magoosh
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 In the diagram above, O is the center of the circle and angle AOB = 144º. What is the area of the circle?
Statement #1: The area of sector AOB is 40% of the area of the circle
Statement #2: Arc ACB has a length of 14$$\pi$$.
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Magoosh
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What is the value of x?Statement #1:$$(x – 5)^2$$=0Statement #2: $$(x – 3)^2$$ = 4
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Magoosh
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 In the diagram above, O is the center of the circle, DC = a and DO = b. What is the area of the circle?
Statement #1: $$a^2$$ – 2ab + $$b^2$$ = 36
Statement #2: a + b = 22
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