DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 113)

Problem 1 :

At a fast food restaurant, a group of friends orders 5 tacos for x dollars each. The group also orders 7 burgers, each of which has a price double the price of a taco. If the restaurant applies 5% tax to the total cost, which of the following represents the group’s total bill, in dollars?

A)  19x + 0.05(12)

B)  1.05(12x)

C)  1.05(19x)

D)  0.05(12x)   

Solution :

Problem 2 :

In the xy-plane above, a circle with radius 5 has its center at the origin.     Point A lies on the circle and has coordinates (m, n). What is n in terms of θ?

A)  5sin θ

B)  5cos θ

C)  tan θ

D)  5(sin θ + cos θ)  

Solution :

Problem 3 :

Which of the following is equivalent to the above expression?

Solution :

Problem 4 :

If (mx + c)(nx + 3) = 12x² + 5x – 3 for all values of x, where m, n and c are constants, what is the value of m + n?

A)  7

B)  8

C)  12

D)  13

Solution :

Problem 5 :

A computer contains 2 memory cards. Each of them has 8 memory chips and each chip has a capacity of 256 megabytes of memory. How many gigabytes of memory will the computer have in total, if 4 more memory cards are added? (1 gigabyte = 1024 megabytes)

Solution :

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