DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 121)

Problem 1 :

37% of the items in a box are green. Of those, 37% are also rectangular. Of the green rectangular items, 42% are also metal. Which of the following is closest to the percentage of the items in the box that are not rectangular green metal items?

A)  1.16%

B)  57.50%

C)  94.25%

D)  98.84%

Solution :

Problem 2 :

The table above shows the percent of men and women 60 years and older who were working in a certain factory in the U.S. in the given years. If the rate of increase or decrease every year is constant, which of the following represents the percent of men over 60 who were working in the factory in the year 2015?

A)  26.6

B)  27.2

C)  29.6

D)  30.5

Solution :

Problem 3 :

Mary is making a rectangle whose perimeter is less than 100 inches. If the dimesions are integers, what is the largest possible area for the rectangle in square inches?

A)  600

B)  625

C)  650

D)  800

Solution :

Problem 4 :

In the figure above, AD = √3 and CD = 1. What is the length of AB?

A)  2

B)  3

C)  2√3

D)  3√3

Solution :

Problem 5 :

The number of bacteria in a controlled laboratory environment is defined by the function f(x) = 1000⋅b^x, where x is the time in hours. The graph of f is shown in the xy-plane below.

What is the number of bacteria in 5 hours?

A)  27,000

B)  32,000

C)  40,000

D)  64,000

Solution :

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