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	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.
OG21 OG2022	3P5 $$\frac{+4QR}{8S4}$$ In the correctly worked addition problem shown, P, Q, R, and S are digits. If Q = 2P, which of the following could be the value of S?
	In triangle PQR, the measure of angle P is 30° more than twice the measure of angle Q. What is the measure of angle R?(1) PQ = QR(2) The measure of angle P is 78°.
PREP07 Test 1	In the xy-plane, does the line with equation y = 3x + 2 contain the point (r, s)?(1) (3r + 2 - s)(4r + 9 - s) = 0(2) (4r - 6 - s)(3r + 2 - s) = 0
Ready4	In the $xy$ -plane, point $(<font color='#FE8080'>r</font>, s)$ lies on a circle with center at the origin. What is the value of $<font color='#FE8080'>r</font>^{2} + s^{2}$ ? (1) The circle has radius 2. (2) The point $(\sqrt{2}, -\sqrt{2})$ lies on the circle.
OG12	If r is a constant and $${a}_{n}$$ = rn for all positive integers n, for how many values of n is $${a}_{n} < 100$$ ?(1)$${a}_{50} = 500$$(2)$${a}_{100}+{a}_{105} = 2,050$$
190113 还原机经选题: 文字题&几何	According to the picture, O is the center of the circle, and AC=BO=r. Which of the option describe the relationship between y and x?
OG15 OG16 OG17 OG18	In the xy-plane above, is angle QPR a right angle?(1) Points P and Q have the same x-coordinate.(2) Points P and R have the same y-coordinate.
	If stock is sold three months after it is purchased, the formula above relates p, d, s, and r, where p is the purchase price of the stock, d is the amount of any dividend received, s is the selling price of the stock, and r is the yield of the investment as a percent.If Rose purchased $400 worth of stock received a $5 dividend and sold the stock for $420, for three months after purchasing it, what was the yield of her investment, according to the formula?(Assuming she paid no commissions.)
190207	The radius of the circle O is r. AO is perpendicular to OB. What is the area of the shaded part? 1：∠BAC = 30° 2：∠CAO = 30°
	In the figure shown, line segments QS and RT are diameters of the circle. If the distance between Q and R is $$\frac{8}{\sqrt{2}}$$ , what is the area of the circle?
OG18-数学分册	Three business partners, Q, R, and S, agree to divide their total profit for a certain year in the ratios 2:5:8, respectively. If Q's share was $4,000, what was the total profit of the business partners for the year?
	一共20个球，7个R色，5个B色，8个G色，一次从中拿两个，问的是这两个颜色是B色和G色的概率
	Quadrilateral PQRS has PQ\\RS and QR\\P5. What is the area of PQRS?1.The coordinates of point P are (2.0), and the coordinates of point R are (8,2).2.The coordinates of point S are (6.0).
300难题	Under the agricultural policies of Country R, farmers can sell any grain not sold on the open market to a grain board at guaranteed prices. It seems inevitable that, in order to curb the resultant escalating overproduction, the grain board will in just a few years have to impose quotas on grain production, limiting farmers to a certain flat percentage of the grain acreage they cultivated previously. Suppose an individual farmer in Country R wishes to minimize the impact on profits of the grain quota whose eventual imposition is being predicted.If the farmer could do any of the following and wants to select the most effective course of action, which should the farmer do now?
	R, S, T, and U are points on a line, and U is the midpoint of line segment ST. If the lengths of line segments RS, RT, and ST are 20, 4, and 24, respectively. What is the length of line segment RU?
	An architect is planning to incorporate several stone spheres of different sizes into the landscaping of a public park, and workers who will be applying a finish to the exterior of the spheres need to know the surface area of each sphere. The finishing process costs $92 per square meter. The surface area of a sphere is equal to $$4\pi{r^2}$$Rwhere r is the radius of the sphere.In the table, select the value that is closest to the cost of finishing a sphere with a 5.50-meter circumference as well as the cost of finishing a sphere with a 7.85-meter circumference. Make only two selections, one in each column.
OG18-数学分册	In the rectangular coordinate system above, if $$\bigtriangleup$$ OPQ and $$\bigtriangleup$$ QRS have equal area, what are the coorddinates of point R?(1) The coordinates of point P are (0,12).(2) OP = OQ and QS = RS.
191222	Given that the line AB is tangent with cicle ⊙O at point B, the radius r of ⊙O is 2. What is the area of the shaded area ? 1：OB=AC 2：BC=OB
Ready4	[GMAT-Math-7100-q-GEO] In the rectangular coordinate system above, if ΔOPQ and ΔQRS have equal area, what are the coordinates of point R? (1) The coordinates of point P are (0,12). (2) OP = OQ and QS = RS.