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Magoosh	Fifteen points are evenly spaced on the circumference of a circle. How many combinations of three points can we pick from these 15 that do not form an equilateral triangle?
Magoosh	If it takes Bill 8 minutes to peel 30 potatoes, how many potatoes can he peel in one hour?
Magoosh	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?
Magoosh	$${8×10^{40}}\over1×10^{10}$$=
Magoosh	In the game of Dubblefud, red chips, blue chips and green chips are each worth 2, 4 and 5 points respectively. In a certain selection of chips, the product of the point values of the chips is 16,000. If the number of blue chips in this selection equals the number of green chips, how many red chips are in the selection?
Magoosh	How many integers from 1 to 900 inclusive have exactly 3 positive divisors?
Magoosh	A sequence is defined by$$ s_n = (s_{n – 1} – 1)(s_{n – 2})$$ for n > 2,and it has the starting values of$$ s_1 = 2$$ and $$s_4 = 9.$$ All terms are positive. Find the value of $$s_6$$.
Magoosh	$$(2xy^{2})*(7x^{3}y^{3})$$=
Magoosh	If n = 2×3×5×7×11×13×17, then which of the following statements must be true?I. $$n^{2}$$ is divisible by 600 II. n + 19 is divisible by 19III.$$\frac{n+4}{2}$$ is even
Magoosh	In the diagram above, A & B are the centers of the two circles, each with radius r = 6, and ∠A = ∠B = 60°. What is the area of the shaded region?
Magoosh	How many integers between 1 and$$ 10^{21}$$ are such that the sum of their digits is 2?
Magoosh	If x and y are positive odd integers, then which of the following must also be an odd integer?I. $$x^{y+1}$$II. x(y+1)III. $$(y+1)^{x-1} + 1$$
Magoosh	What is the sum of all possible solutions to the equation$$\sqrt{2x^{2}-x-9}=x+1$$ ?
Magoosh	If$$\sqrt{17+\sqrt{264}} $$ can be written in the form $$\sqrt{a}+\sqrt{b}$$ , where a and b are integers and b < a, then a - b =
Magoosh	$$10^{x} + 10^{y} + 10^{z} = n$$, where x, y, and z are positive integers. Which of the following could be the total number of zeroes, to the left of the decimal point, contained in n? I. x + yII. y – zIII. z
Magoosh	If x + \|x\| + y = 7 and x + \|y\| - y = 6 , then x + y =
Magoosh	Two sides of a triangle have length 6 and 8. Which of the following are possible areas of the triangle? I. 2 II. 12 III. 24
Magoosh	Car A and B started at different times from Town X and travel to Town Y on the same route at different constant speeds. Car A was initially behind Car B, but Car A was faster. Car A passed Car B at 1:30 pm. At 3:15 pm, Car A reached Town Y, and at that moment, Car B was still 35 miles away from Town Y. The time Car B took to complete the trip from Town X to Town Y was 25% more than the time that Car A took. What is the speed of Car A?
Magoosh	For how many unique coordinate points (P, Q), such that P and Q are integers, is it true that $$P^{2} - Q^{2} =$$ 1155?
Magoosh	If x is an odd negative integer and y is an even integer, which of the following statements must be true?I. (3x - 2y) is oddII. $$xy^{2}$$ is an even negative integerIII. $$(y^{2} - x)$$ is an odd negative integer