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Magoosh	What is the value of x?(1) $$\sqrt{x^4}=9$$(2) $$\sqrt{x^2}=-x$$
Magoosh	In the 1560 Battle of Okehazama, in which the warlord Imagawa Yoshimoto was defeated and killed, Oda Nobunaga, recognizing that although being outnumbered ten to one, the terrain gave his smaller force a decisive advantage.
Magoosh	If xy = 7 and x - y = 5, then $$x^{2} + y^{2} =$$
Magoosh	If the circle has radius 6, what is the area of the triangle?(1) AC = AB(2) BC = 12
Magoosh	Inverse beta decay, the subatomic interaction by which an electron and a proton are "crushed" into a neutron, the process in which the recoil, on a massive scale of an entire stellar nucleus, pushes out the outer layers of the star in the cataclysmic explosion of a supernova and transforming the stellar nucleus into a neutron star.
Magoosh	What is the remainder when$$ 43^{86}$$ is divided by 5?
Magoosh	If x and y are integers and xy $$\neq$$ 0, is x - y > 0?(1) $$\frac {x}{y}$$ < $$\frac {1}{2}$$(2)$$\sqrt{x^2} = x$$ and $$\sqrt{y^2} $$ = y
Magoosh	Since around 1970, with world population of 3.5 billion, they have doubled it to our current level of over 7 billion in 2012.
Magoosh	What is the units digit of $$18^{47}$$?
Magoosh	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
Magoosh	The more cautious commanders of the Army of the Potomac, such as George McClellan and George Meade, chose to withdraw after costly battles, but commander Ulysses Grant's strategy was the keeping up of pressure on Lee's Confederates even after losing a battle to them, and then he occupied positions between Lee's army and Richmond to invite another open battle.
Magoosh	If $$4^{n} + 4^{n} + 4^{n} + 4^{n} = 4^{16}$$ , then n =
Magoosh	In elucidating and ultimately decrying the various strains of nihilism endemic to his native Russia, the novelist Fyodor Dostoyevsky sought to edify the populace, to lead it away from the evil portended in a philosophy that denied all values.
Magoosh	Is quadrilateral ABCD a square?Statement #1: angle A = angle C = 90ºStatement #2: AB = AD
Magoosh	Every person in a certain group is either a Dodgers fan or a Yankees fan, but not both. The ratio of Yankees fans to Dodgers fans is 5 to 3. If 22 Yankees fans change teams to become Dodgers fans, the ratio of Dodgers fans to Yankees fans will be 1 to 1. How many people are in the group?
Magoosh	The new crime legislation, introduced by Senator Gladstone in response to the Alkaline Scandal, would increase the interconnectedness of police databases, funding for neighborhood watch groups, programs for rehabilitating at-risk youth, and decrease the parole possibilities for violent convicts.
Magoosh	If x and y are positive integers, is $$x^2y^2$$ even ?(1) x + 5 is a prime number(2) y + 1 is a prime number
Magoosh	If $$\frac{3}{4} $$of the number of women working at Company X is equal to $$\frac{2}{3}$$ of the number of men, what fraction of the employees at Company X are women?
Magoosh	Judith and Quincy started with the same amount of money to invest at the beginning of 2012. Judith's investments increased by P percent in the year 2012 and then increased by Q percent in the year 2013. From the start of 2012 to the end of 2013, Quincy's investment increased by R percent. Which one of them had more money by the end of 2013? Statement #1: P + Q < RStatement #2:$$R-P-Q\lt\frac{PQ}{100}$$
Magoosh	She explained she both wants a large house in the city, so that she can make visits the museums regularly, and also a cottage in the mountains, to which she can go on free weekends.