DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 171)

Problem 1 :

A grove has 6 rows of birch trees 5 rows of mapple trees. Each row of birch trees has 8 trees of 20 feet or taller and 6 trees of shorter than 20 feet. Each row of mapple trees has 9 trees of 20 feet or taller and 7 trees of shorter than 20 feet. A tree from one of these rows will be selected at random. What is the probability of selecting a maple tree, given that the tree is 20 feet or taller?

A)  9/164

B)  3/10

C)  15/31

D)  9/17

Solution :

Problem 2 :

Let f(x) = √x and g(x) = 7x + b. In an xy-plane, if the graph of the function y = f[g(x)] passes through the point (4, 6), then what is the value of b?

A)  8

B)  -8

C)  -25

D)  4 - √7

Solution :

Problem 3 :

x² + y² – 6x – 8y = 0

The equation of a circle in the xy-plane is shown above. What is the area of the circle?

A)  15.7

B)  31.4

C)  62.8

D)  78.5

Solution :

Problem 4 :

In the figure above, AB : BC : CD = 3 : 5 : 2. If the sum of the areas of the shaded region is 13, what is the area of EBC?

A)  13

B)  17

C)  20

D)  25

Solution :

Problem 5 :

K ≤ -6  or  K ≥ 14

Which of the following is equivalent to the expression of inequalities above?

A)  |K + 4| ≤ 10

B)  |K + 4| ≥ 10

C)  |K – 4| ≤ 10

D)  |K – 4| ≥ 10

Solution :

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