DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 211)

Problem 1 :

In the figure above, measure of ∠ADB = 60°, measure of ∠ACD = 30°, and CD = 10√3. What is the length of AB?

Solution :

Problem 2 :

f(x) = x⁵ + k²x³ + 3kx – 11

In the function above, k is a positive constant. If x – 1 is a factor of f(x), what is the value of k?

Solution :

Problem 3 :

Ashley and Beth drove from city A to city B in exactly 5 hours, not taking rest stops. Ashley drove up to the area located halfway between the two cities at the average speed of 40 miles per hour and then Beth drove the other half at an average speed of 60 miles per hour. How many hours did Beth drive on their trip?

A)  1

B)  2

C)  3

D)  4

Solution :

Problem 4 :

The combined weight of Adam and Bradley is 165 pounds. The combined weight of Bradley and Chris is 185 pounds. The combined weight of Chris and Adam is 175 pounds. How many pounds of does Bradley weigh?

A)  80

B)  85

C)  87.5

D)  92.5

Solution :

Problem 5 :

What is the solution of the equation shown above?

A)  –10

B)  5

C)  10

D)  No solution

Solution :

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