DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 53)

Problem 1 :

In the given figure, four circles, each with radius 4, are tangent to each other. What is the area of the shaded region?

A)  16 - 4π

B)  64 - 4π

C)  64 - 8π

D)  64 - 16π

Solution :

Problem 2 :

A right triangle has legs with lengths of 24 centimeters and 21 centimeters. If the length of this triangle’s hypotenuse, in centimeters, can be written in the form 3√d , where d is an integer, what is the value of d?

Solution :

Problem 3 :

Two data sets of 23 integers each are summarized in the histograms shown. For each of the histograms, the first interval represents the frequency of integers greater than or equal to 10, but less than 20. The second interval represents the frequency of integers greater than or equal to 20, but less than 30, and so on. What is the smallest possible difference between the mean of data set A and the mean of data set B?

A)  0

B)  1

C)  10

D)  23

Solution :

Problem 4 :

A cube is inscribed in a sphere where all the vertices intersect the sphere. The sphere has a radius 6√2. The volume of cube is k√6. What is the value of k?

Solution :

Problem 5 :

What is the area in square units, of the triangle formed by connecting the three points shown?

Solution :

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