DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 212)

Problem 1 :

5(x + 2)² – 15 = 45

Which of the following is a value of x that satisfies the equation above?

A)  4

B)  –2 + 2√3

C)  –2 – 2√2

D)  2 + 2√2

Solution :

Problem 2 :

In the xy-plane above, lines ℓ and m are perpendicular to each other at point P. If the graph of line m intersects the x-axis at point (-4, 0), what is the area of ΔPQR?

A)  84

B)  72

C)  42

D)  36

Solution :

Problem 3 :

In the figure above, circles O and P are tangent to line line ℓ and are tangent each other. If the radii of circles O and P are 4 and 9 respectively, what is the area of quadrilateral OPQR?

A)  39

B)  78

C)  108

D)  156

Solution :

Problem 4 :

If a and b are positive integers and 8(2^4a) = 2^2b/2³, what is b in terms of a?

A)  a + 1

B)  a + 2

C)  2a + 1

D)  2a + 3

Solution :

Problem 5 :

There are two different means, the arithmetic, A = (a + b)/2, and the harmonic, H = 2ab/(a + b). If the arithmetic mean is equal to harmonic mean, which of the following must be true?

A)  a = 0 and b = 0

B)  ab = 0

C)  a = 1 and b = 1

D)  a = b

Solution :

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Digital SAT Problems and Solutions (Part - 1)

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