DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 113)
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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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