DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 88)

Problem 1 :

In the figure above, 2b = 3c and the area of the shaded region is ⅖ the area of the rectangle. What is the slope of line ℓ ?

Solution :

Problem 2 :

In the figure above, which quadrants contain the points (x, y), that satisfy the condition 2x/y = -1?

A)  II only

B)  II and IV only

C)  I and III only

D)  I, II, III and IV only

Solution :

Problem 3 :

The figure above shows the graph of the function f(x) = x² - k. Points A and B lie on the graph of the function and the vertices of the rectangle ABCD. If AB = 6 and the area of rectangle ABCD is 20, what is the value of k?

Solution :

Problem 4 :

The mean tire pressure of the cars at Dealer A is equal to the mean tire pressure of the cars at Dealer B. However, while the standard deviation of the tire pressures of the cars at Dealer A is 2.5 psi (pounds per square inch), the standard deviation of the tire pressures of the cars at Dealer B is 1.2 psi. Which of the following must be true?

A)  The mean tire pressure of the cars at Dealer A is 1.3 psi less than the mean tire pressure of the cars at dealer B.

B)  The median tire pressure of the cars at Dealer A is 1.3 psi less than the median tire pressure of the cars at dealer B.

C)  The median tire pressure of the cars at Dealer A is 1.3 psi greater than the median tire pressure of the cars at dealer B.

D)  The tire pressures of the cars at Dealer A are more variable than the tire pressures of the cars at dealer B.

Solution :

Problem 5 :

The base of a cylinder has a circumference of 5π. The height of the cylinder is 4. What is the volume of the cylinder?

A)  20π

B)  25π

C)  40π

D)  50π

Solution :

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