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Magoosh
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The average (arithmetic mean) of two numbers is 4x. If one of the numbers is y, then the value of the other number is
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Magoosh
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The price of a pair of sneakers was $80 for the last six months of last year. On January first, the price increased 20%. After the price increase, an employee bought these sneakers with a 10% employee discount. What price did the employee pay?
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Magoosh
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If three primes are randomly selected from the prime numbers less than 30 and no prime can be chosen more than once, what is the probability that the sum of the three prime numbers selected will be even?
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Magoosh
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$${8*10^{40}}\over1*10^{10}$$=
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Magoosh
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How many integers from 1 to 900 inclusive have exactly 3 positive divisors?
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Magoosh
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$$(2xy^{2})*(7x^{3}y^{3})$$=
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Magoosh
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If a and b are positive integers, and %$$(2^{3})(3^{4})(5^{7}) = a^{3}b$$, how many different possible values of b are there?
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Magoosh
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Given that the length of each side of a quadrilateral is a distinct integer and that the longest side is not greater than 7, how many different possible combinations of side lengths are there?
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Magoosh
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Nearly all employees of the factory who have completed their high school diploma have earned their factory safety certificate, having easily completed the eight week training course. The high school graduates who haven't earned the certificate are ones who have evening obligations that have prevented them from taking the course. Overall, though, most of the factory workers have not earned the certificate. If the statements above are true, which one of the following also must be true?
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Magoosh
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A successful clothing department store, in a central downtown location of a certain city, is of a limited size and has grown so much over the past year that it needs to expand. There are a few other slightly larger available retail lots in the downtown regions for sale, but the prices per square foot are quite high. The management finds that cost per square foot of lots in a suburb a few miles from downtown is almost half of that in the downtown region, so they plan to relocate there to save costs. Which of the following, if true, most seriously undermines this plan?
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Manhattan
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If $$8^{x} = 2^{12}$$, what is x?
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Manhattan
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A man runs around a circular track two times. The track has a diameter of 12 meters. How many meters does he run?
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Manhattan
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In the right triangle pictured to the right, what is the value of x?
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Manhattan
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A certain square has sides of length x. If the length of each side is doubled, then which of the following represents the area of the resulting square, in terms of x?
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Manhattan
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What is the units digit of $$(10 ^{4})(4^{ 5})(3^{ 3})?$$
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Manhattan
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What is the average of $$\frac{1}{8},\frac{3}{8},\frac{1}{2}$$ ?
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Manhattan
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Is $$x > 0$$?(1) $$x^2 < 9$$(2) $$x^3 < -8 $$
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Manhattan
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Lindsay can paint $$\frac{1}{x}$$ of a certain room in one hour. If Lindsay and Joseph, working together at their respective rates, can paint the room in one hour, what fraction of the room can Joseph paint in 20 minutes?
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Manhattan
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$$10 ^{5} – 560 $$ is divisible by all of the following EXCEPT:
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Manhattan
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Is $$ x > 0$$?(1)$$ x^2 > 0$$(2) $$x + 2 > 0$$
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