DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 119)

Problem 1 :

The figure above shows a triangular prism whose base is an equilateral triangle with side lengths x and height √3x. If the volume of the prism is 81/4, what is the value of x?

A)  3

B)  4

C)  5

D)  6

Solution :

Problem 2 :

Which is the sum of the measures of the marked angles in the figure above?

A)  1080°

B)  900°

C)  720°

D)  540°

Solution :

Problem 3 :

If 2x + 3y = 11, what is the value of 4^x8^y ?

A)  2¹⁵

B)  2¹¹

C)  2⁹

D)  2⁸

Solution :

Problem 4 :

If x > 4, which of the following is equivalent to the above expression?

Solution :

Problem 5 :

In a certain office, there are c chairs, d desks and e employees. Five desks are not occupied, and all other desks are occupied by exactly one employee. All but two of the employees have two chairs at their desks, and all the other desks, whether they are occupied or not, have one chair. If e > 2, then which of the following expressions is equal to c?

A)  2(d – 5) + e

B)  2(d – e)

C)  2(d – 2)

D)  2e + 3

Solution :

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