DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 203)

Problem 1 :

If k = (x + 1)(x - 1)/3 and k ≠ 0, what does 3x² equal in terms of k?

A)  3k

B)  9k

C)  3k + 1

D)  9k + 3

Solution :

Problem 2 :

The average (arithmetic mean) of three positive numbers a, b and c is 15. When the greatest of these numbers is subtracted from sum of the other two, the result is 5. If a < b < c, what is the value of a + b?

A)  20

B)  25

C)  30

D)  40

Solution :

Problem 3 :

The equation above is true for all values of x ≠ 2, where a and b are constants. What is the value of a?

A)  -1/2

B)  2

C)  3

D)  4

Solution :

Problem 4 :

What are the solutions to the equation 3(x – 3)² – 6 = 14?

A)  x = 3 ± √20

B)  x = (3 ± √20)/3

C)  x = 3 ± √20/3

D)  x = 3 ± √60/3

Solution :

Problem 5 :

If the diameter of a cylindrical jar is increased by 100% without altering the volume, by what percent must the height be decreased ?

Solution :

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Digital SAT Problems and Solutions (Part - 1)

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