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Magoosh	How many positive integers less than 100 have a remainder of 2 when divided by 13?
Magoosh	A popular website requires users to create a password consisting of digits only. If no digit may be repeated and each password must be at least 9 digits long, how many passwords are possible?
Magoosh	In how many ways can 16 different gifts be divided among four children such that each child receives exactly four gifts?
Magoosh	The points A(0, 0), B(0, 4a - 5) and C(2a + 1, 2a + 6) form a triangle. If ∠ABC=90°, what is the area of triangle ABC?
Magoosh	In a certain game, you perform three tasks. You flip a quarter, and success would be heads. You roll a single die, and success would be a six. You pick a card from a full playing-card deck, and success would be picking a spades card. If exactly one of these three tasks is successful, then you win the game. What is the probability of winning the game?
Magoosh	A marketer bought N crates of empty cardboard gift boxes. Each crate held Q individual gift boxes, and the lot of N crates was purchases at a wholesale price of W dollars. This marketer will sell collections of J cardboard gift boxes to retailers, at a price of P dollars for each collection. (Note: J is a divisor of Q.) The marketer knows that, when he has sold all the cardboard gift boxes this way, he wants to net a total profit of Z dollars on the entire transaction. What price P for these collections must he charge, to net this profit? Express P in terms of N, Q, W, J, and Z.
Magoosh	In how many different ways can 3 identical green shirts and 3 identical red shirts be distributed among 6 children such that each child receives a shirt?
Magoosh	In the grid of points above, each point has equal vertical & horizontal spacing from the others. A small 45-45-90 triangle is drawn. Counting this triangle, how many triangles congruent to this one, of any orientation, can be constructed from points in this grid?
Magoosh	In Aldebaran Corporation, 35% of the managers have an MBA. If there are 42 managers with MBA, what is the total number of managers?
Magoosh	If AC = BC and CD = DE then, in terms of x, the value of y isNote: Figure not drawn to scale
Magoosh	For a certain cylinder, the diameter equals the height. If every length in this cylinder is decreased by 60%, then to the nearest integer, by what percent does the volume decrease?
Magoosh	If n is an integer, what is the least possible value of n such that $$40,000,000 < 5^{n}$$ ?
Magoosh	x and y are positive integers such that x < y. If$$6\sqrt{6} =x\sqrt{y}$$ , then xy could equal
Magoosh	Which of the following equations is true for all positive values of x and y?
Magoosh	How many four digit numbers have no repeat digits, do not contain zero, and have a sum of digits equal to 28?
Magoosh	If k is an integer and $$121 < k^{2} < 225$$, then k can have at most how many values?
Magoosh	The above 11 x 11 grid of dots is evenly spaced: each dot is separated by one unit, vertically or horizontally, from its nearest neighbors. Drawn in the diagram is a single right triangle with legs of length 2 & 1. How many right triangles, of this particular size and shape, in any orientation, can be formed by three dots from this grid?
Magoosh	$$(30^{30}) × (29^{29}) × (28^{28}) × . . . × (3^{3}) × (2^{2}) × (1^{1}) = N$$What is the highest value of K, such that $$\frac{N}{(125^{K})}$$ is an integer?
Magoosh	This year, a woman has a lucrative one-year position. During this year, she will give a fraction f of her salary to her husband, a private investor, to invest and they will live this year on the remainder. Through investments, her husband can turn each dollar she gives him into 1 + r, which will be deposited in a bank account. Their goal is to save & invest enough money so they can live off this money for two years following the end of the wife's position. Toward this end, they want to choose f such that the amount in the account at the end of the year is twice what they lived off this year. In terms of r, what should f be?
Magoosh	At a certain symphonic concert, tickets for the orchestra level were $50 and tickets for the balcony level were $30. These two ticket types were the only source of revenue for this concert. If R% of the revenue for the concert was from the sale of balcony tickets, and B% of the tickets sold were balcony tickets, then which of the following expresses B in terms of R?