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GMAT考满分·题库

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Ready4

In the figure shown, is inscribed in semicircle . If the length of line segment is and the length of line segment is , what is the length of arc ?

Ready4

The dots on the graph above indicate sale prices (in thousands of dollars) and living area (in square feet) of the most recent 25 home sales in a certain town. How many homes that sold for more than $600,000 had living areas that were less than 3,000 square feet?

Ready4

What is the volume of the cube above?

(1) The surface area of the cube is square inches.

(2) The length of diagonal is .

Ready4

In the figure above, the point is the center of the circle and . What is the value of ?

Ready4

A circular barrel has a band painted around its circumference, as shown above. What is the surface area of the painted band?

(1)

(2) The radius of the barrel is 1 foot.

Ready4

If arc above is a semicircle, what is the length of segment ?

(1)

(2)

Ready4

In the rectangular coordinate system above, if and have equal area, what are the coordinates of point L?

(1) and .

(2) The coordinates of point O are .

Ready4

On the circle above with center , the length of arc is . What is the circumference of the circle?

Ready4

In the figure above, the point  is the center of the circle and . What is the value of ?

Ready4

The figure above shows  inscribed in circle . The length of line segment is and the measure of is . What is the length of arc ?

Ready4

What is the circumference of the circle above with center ?

(1) The perimeter of is .

(2) The length of arc is .

Ready4

When the figure above is cut along the solid lines, folded along the dashed lines, and taped along the solid lines, the result is a model of a pyramid with a base that is a pentagon. What is the sum of the number of edges and the number of vertices of this pyramid?

Press ReleaseIn a finding that may challenge popular notions of body fat and health, researchers at Beth Israel Deaconess Medical Center (BIDMC) have shown how fat cells can protect the body against diabetes. The results may lead to a new therapuetic strategy for preventing and treating type 2 diabetes and obesity-related metabolic diseases, the author says. In the study, the BIDMC researchers pinpointed the fat gene and its effect in mouse models of human obesity and insulin resistance and reported supporting evidence from fat tissue samples from both lean and obese people. "Two things were surprising -- first, that a lone gene could shift the metabolism of the fat cell so dramatically and then, that turning on this master switch selectively in adipose tissue is beneficial to the whole body," said senior author Barbara Kahn MD, the George R. Minot Professor of Medicine at Harvard Medical School and Vice Chair of the Department of Medicine at BIDMC. Twelve years ago, Kahn first demonstrated that fat cells are a master regulator of healthy levels of glucose and insulin in mice and require sugar to do the job.Type 2 diabetes mellitus is now recognized as a metabolic syndrome and although the treatment paradigm has shifted from one that focuses solely on glycemic control to one addressing global cardiovascular risk factors in a particular individual, glycemic control remains one of the key challenges that the physician faces in his daily practice. The practicing physician must be familiar with the basic pharmacology of the various classes of hypoglycemic drugs to ensure its effective and rational use. This is becoming an increasingly complicated task given the rapid pace of progress in diabetes therapy. There is also a need to appreciate the pathophysiology of type 2 diabetes and the concept of insulin resistance and b-cell dysfunction, and how this may influence the choice of therapeutic agents in any particular patient. JournalType 2 diabetes is still not satisfactorily managed anywhere in the world, thereby accounting for the considerable morbidity and mortality from diabetes-related complications. Epidemiologically, the Asia-Pacific region alone accounts for nearly 50% of the world's diabetic patients, 95% or more being type 2 diabetics. Singapore has one of the highest prevalence of diabetes in the region. The National Health Survey of Singapore in 1998 estimated an overall prevalence of 9.0% among adults 18 to 69 years of age, with rates highest among Indians (15.8%) and Malays (11.3%). Diabetes alone is the sixth commonest cause of death, excluding deaths secondary to cardiovascular and renal complications.MagazineType 2 diabetes is still not satisfactorily managed anywhere in the world, thereby accounting for the considerable morbidity and mortality from diabetes-related complications. Epidemiologically, the Asia-Pacific region alone accounts for nearly 50% of the world's diabetic patients, 95% or more being type 2 diabetics. Singapore has one of the highest prevalence of diabetes in the region. The National Health Survey of Singapore in 1998 estimated an overall prevalence of 9.0% among adults 18 to 69 years of age, with rates highest among Indians (15.8%) and Malays (11.3%). Diabetes alone is the sixth commonest cause of death, excluding deaths secondary to cardiovascular and renal complications.
Ready4

In the figure above, the point is the center of the circle and . What is the value of ?

Ready4

If  is the center of the circle above, what fraction of the circular region is shaded?

Ready4

In the figure above,  is the center of the circle and the measure of  is . If the circumference of the circle is  millimeters, what is the length, in millimeters, of arc ?

Ready4

The inside of a rectangular carton is centimeters long, centimeters wide, and centimeters high. The carton is filled to capacity with identical cylindrical cans of vegetables that stand upright in rows and columns, as indicated in the figure above. If the cans are centimeters high, what is the value of ?

(1) Each of the cans has a volume of cubic centimeters.

(2) The area of the base of the rectangular carton is square centimeters.

Ready4

The inside of a rectangular carton is inches long, inches wide, and inches high. The carton is filled to capacity with identical cylindrical cans of soda that stand upright in rows and columns, as indicated in the figure above. If the cans are inches high, what is the value of ?

(1) Each of the cans has a radius of inches.

(2) Six of the cans fit exactly along the length of the carton.

Ready4

The inside of a rectangular carton is centimeters long, centimeters wide, and centimeters high. The carton is filled to capacity with identical cylindrical cans of tomato paste that stand upright in rows and columns, as indicated in the figure above. If the cans are centimeters high, what is the value of ?

(1) Each of the cans has a radius of centimeters.

(2) Seven of the cans fit exactly along the width of the carton.

Ready4

In the table above, what is the least number of table entries that are needed to show the mileage between each town and each of the other six towns?

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