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Magoosh
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If x and y are positive integers, is y a prime number?(1) xy is a prime number.(2) $$y^2$$ is even.
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Magoosh
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A box contains red and blue balls only. If there are 8 balls in total, how many red balls are in the box?(1) If two balls are randomly selected without replacement, the probability that both balls are red is $$\frac{5}{14}$$(2) If two balls are randomly selected without replacement, the probability is $$\frac{15}{56}$$ that the first ball is red and the second ball is blue.
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Magoosh
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If x and y are positive integers, is x - y > $${x+y}\over{2}$$ ?(1) y < x(2) x < 2y
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Magoosh
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Is x > 0?(1) $$({x+y})^2$$ < $$({x-y})^2$$(2) x + y < x - y
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Magoosh
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What is the value of x?(1) $$\sqrt{x^4}=9$$(2) $$\sqrt{x^2}=-x$$
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Magoosh
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 In the circle above, chord AC = 85. What is the area of the circle?Statement #1: ∠ABC = 90°Statement #2: AB = 51 and BC = 68
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Magoosh
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What is the value of $$x^2-y^2$$?(1) x + y = 16(2) x - y = 0
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Magoosh
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What is the value of x - y?(1) $$x^2-y^2\over{x+y}= 6$$(2) $$x^2-2xy+y^2= 36$$
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Magoosh
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Is x > 2?
(1) x is positive
(2) $$x^2> 9$$
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Magoosh
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 In the diagram above, coordinates are given for three of the vertices of quadrilateral ABCD. Does quadrilateral ABCD have an area greater than 30?Statement #1: point B has an x-coordinate of 4Statement #2: quadrilateral ABCD is a parallelogram
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Magoosh
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 Is $$\Delta$$ABC an isosceles triangle?(1) AD = DC(2) The area of$$\Delta$$ABD equals the area of $$\Delta$$BDC
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Magoosh
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 Points P, Q, R, S, and T all lie on the same line. The larger circle has center S and passes through P and T. The smaller circle has center R andpasses through Q and S. What is the ratio of the area of the larger circle to the area of the smaller circle?Statement #1: ST:PQ = $$\frac{5}{2}$$Statement #2: RT:PR = $$\frac{13}{7}$$
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Magoosh
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Is$$ x^2 > y^2$$?(1) x + y < 0(2) x - y < 0
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Magoosh
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A, B, R and S are four positive numbers. Does AS = BR? Statement #1: $$\sqrt{A^2+B^2}=\sqrt{R^2+S^2}$$Statement #2: In the x-y plane, the line through (A, B) and (R, S) goes through the origin
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Magoosh
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Rachel drove the 120 miles from A to B at a constant speed. What was this speed?Statement #1: If she had driven 50% faster, her new time would have been $$\frac{2}{3}$$ of her original time.Statement #2: If she had driven 20 mph faster, she would have arrived an hour sooner.
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Magoosh
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If x and y are integers and xy $$\neq$$ 0, what is the value of$$x^{-2y} \over{y^{2x}}$$?(1) x + y = 0(2) xy = $$\frac{y}{x}$$
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Magoosh
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If x and y are integers and$$ xy\neq 0$$, what is the value of $$\frac{x}{y}$$ ?(1)$$ x^2 + y^2 = 2xy$$（2)$$ 2x^2 + x - 2xy - y = 0$$
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Magoosh
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Is a positive?Statement #1:$$ a^6 > a$$Statement #2:$$ a^5 > a$$
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Magoosh
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If x is an integer, what is the value of x ?
(1) $$x^2 - 4x + 3 < 0$$
(2) $$x^2 + 4x +3 > 0$$
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Magoosh
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Is p $$\gt$$ q?Statement #1:$$ p^2$$ >$$ q^2$$Statement #2: $$ p^3$$ >$$ q^3$$
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