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Ready4	Three programmers $N$ , $P$ , and $<font color='#FE8080'>Q</font>$ working simultaneously and independently at their respective constant rates, can write 10,000 lines of code in 3 hours. How long does it take Programmer $N$ , working alone at a constant rate, to write all lines of the code? (1) Programmers $N$ and $P$ , working simultaneously and independently at their respective constant rates, can write all lines of the code in 4 hours. (2) Programmers $N$ and $<font color='#FE8080'>Q</font>$ , working simultaneously and independently at their respective constant rates, can write all lines of the code in 6 hours.
OG21 OG20 OG2022	A certain computer company produces two different monitors, P and Q. In 2010, what was the net profit from the sale of the two monitors? (1) Of the company's expenses in 2010, rent and utilities totaled $500,000. (2) In 2010, the company sold 50,000 units of monitor P at $300 per unit and 30,000 units of monitor Q at $650 per unit.
	Mesoporous metals are not indestructible, but their durability is such that they are able to withstand any delivered blow of a force of less than 12 newtons.
Magoosh	In the x-y plane, point (p, q) is a $$\mathbf {lattice}$$ $$\mathbf {point}$$ if both p and q are integers. Circle C has a center at (–2, 1) and a radius of 6. Some points, such as the center (–2, 1), are inside the circle, but a point such as (4, 1) is $$\mathbf {on}$$ the circle but not $$\mathbf {in}$$ the circle. How many lattice points are in circle C?
OG12 OG15	In the figure above, the point on segment PQ that is twice as far from P as from Q is
	Exactly six candidates for mayor received votes according to the graph above. If 200,000 people voted for mayor, how many votes did candidate Q receive?
PREP07 Test 1	In the figure above, points P and Q lie on the circle with center O. What is the value of s ?
PREP07 Test 2	If p, q, r, and s are as shown on the number line above, which of the following products is greatest?
OG18 OG19 OG20 OG2022	In the xy-plane, the origin O is the midpoint of line segment PQ. If the coordinates of P are (r,s), what are the coordinates of Q ?
Magoosh	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 = $$\frac{13}{7}$$
	If $${l}_{1} \\| {l}_{2}$$ in the figure above, is x = y? (1) $$p\\|r$$ and $$r\\|t$$ (2) $$q\\|s$$
Ready4	[GMAT-Math-7213-q] Which of the following inequalities is an algebraic expression for the shaded part of the number line above?
Magoosh	Given that (P + 2Q) is a positive number, what is the value of (P + 2Q)?Statement #1: Q = 2Statement #2:$$P^2$$ + 4PQ + $$4Q^2$$ = 28
	If Q and R denote the nonzero digits of a three-digit number QRR, is QRR divisible by 3?1. RR is divisible by 6.2. RR is divisible by 2.
OG17 OG18 OG19 OG20 OG2022	If $$\frac1 3$$ of the total number of marbles in the three bags listed in the table above are blue, how many marbles are there in bag Q?
OG18 OG19 OG20 OG2022	Company Q plans to make a new product next year and sell each unit of this new product at a selling price of $2. The variable costs per unit in each production run are estimated to be 40% of the selling price, and the fixed cost of each production run are estimated to be $5,040. Based on these estimated costs, how many units of the new product will Company Q need to make and sell in order for their revenue to equal their total costs for each production run?
Ready4	[GMAT-Math-7098-q-GEO] In the figure shown, lines k and m str parallel to each other. Is x = z? (1) x = w (2) y = 180 - w
Ready4	[GMAT-Math-7117-q-GEO] What is the value of $x+y$ in the figure above? (1) w = 95 (2) z = 125
OG18-数学分册	Stations X and Y are connected by two separate, straight, parallel rail lines that are 250 miles long. Train P and train Q simultaneously left Station X and Station Y, respectively, and each train traveled to the other's point of departure. The two trains passed each other after traveling for 2 hours. When the two trains passed, which train was nearer to its destination?(1)At the time when the two trains passed, train P had averaged a speed of 70 miles per hour.(2)Train Q averaged a speed of 55 miles per hour for the entire trip.
OG19-数学分册	Stations X and Y are connected by two separate, straight, parallel rail lines that are 250 miles long. Train P and train Q simultaneously left Station X and Station Y, respectively, and each train traveled to the other's point of departure. The two trains passed each other after traveling for 2 hours. When the two trains passed, which train was nearer to its destination? (1) At the time when the two trains passed, train P had averaged a speed of 70 miles per hour. (2) Train Q averaged a speed of 55 miles per hour for the entire trip.