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In the xy-plane, two circles C and R are drawn such that Circle C has its center at the origin and radius equal to 5 and Circle R has its center at (2, 3) and radius equal to 5. Which of the following is the equation of the line that passes through the intersection points of circles C and R?

In the xy-plane, two circles C and R are drawn such that Circle C has its center at the origin and radius equal to 5 and Circle R has its center at (2, 3) and radius equal to 5. Which Leer más…

In the xy-plane, the center of a circle is located at (−8, −11). The point (−8, −8) lies inside the circle, and the point (−11, −7) lies outside the circle. If the circle’s radius is an integer, what is its area?

In the xy-plane, the center of a circle is located at (−8, −11). The point (−8, −8) lies inside the circle, and the point (−11, −7) lies outside the circle. If the circle’s radius is an integer, what is its Leer más…

Given that a straight line in the xy-plane passes through the point (3,48) in the first quadrant and intersects the positive x- and y-axes at points P and Q respectively. Let O designate the origin. Find the minimum value of OP×OQ.

Given that a straight line in the xy-plane passes through the point (3,48) in the first quadrant and intersects the positive x- and y-axes at points P and Q respectively. Let O designate the origin. Find the minimum value of Leer más…

The interior of a rectangular carton is designed by a certain manufacturer to have a volume of x cubic feet and a ratio of length to width to height of 3:2:2. In terms of x, which of the following equals the height of the carton, in feet?

GMAT QUANT Geometry Questions volume . Difficulty: 600 – 700 Level, Geometry, Source: Problem Solving The interior of a rectangular carton is designed by a certain manufacturer to have a volume of x cubic feet and a ratio of length Leer más…

Coins are dropped into a toll box so that the box is being filled at the rate of approximately 2 cubic feet per hour. If the empty rectangular box is 4 feet long, 4 feet wide and 3 feet deep, approximately how many hours does it take to fill the box?

GMAT QUANT Problem Solving Difficulty: 600-700 Level, Geometry, Cube, ratio Coins are dropped into a toll box so that the box is being filled at the rate of approximately 2 cubic feet per hour. If the empty rectangular box is Leer más…

Approximately 90 percent of the volume of a certain cube that is floating in a tank of water is beneath the surface. If 6.4 cubic centimeters of the cube is above the surface of the water, what is the approximate length, in centimeters, of an edge of the cube?

GMAT QUANT Problem Solving, Difficulty: 500 – 600 Level, Geometry VOLUME, CUBE, Percent And Interest Problems, Source: GMAT Prep Approximately 90 percent of the volume of a certain cube that is floating in a tank of water is beneath the Leer más…

The volume of a sphere with radius r is 4/3πrexp3 and the surface area is 4πrexp2. If a special ballon has a volume of 972π cubic centimeters, what is the surface area of the ballon in square centimeters?

GMAT QUANT 3-D Geometry Questions Spheres The volume of a sphere with radius r is 4/3πrexp3 and the surface area is 4πrexp2. If a special ballon has a volume of 972π cubic centimeters, what is the surface area of the Leer más…