DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 184)

Problem 1 :

2^{x + 2y} = 16

3^{3x + y} = 81

In the system of equations, what is the value of x?

A)  4

B)  3

C)  4/3

D)  3/4

Solution :

Problem 2 :

(x + y)² – (x – y)² = 72

In the equation above, x and y are positive integers. Which of the following CANNOT be the value of x + y?

A)  9

B)  11

C)  19

D)  24

Solution :

Problem 3 :

P = The average of a and b

Q = The average of b and c

R = The average of c and a

The various averages (arithmetic mean) of two of three numbers a, b and c are calculated and arranged as shown above. If P > Q > R, which of the following is true?

A)  a = b = c

B)  a > b > c

C)  c > b > a

D)  b > a > c

Solution :

Problem 4 :

The graph of y = ax² + 10 is shown in the xy-plane above. If the area of square ABCD is 400, what is the value of a?

Solution :

Problem 5 :

In the figure above, if the measure of ∠ABC is 30°, what is the value of k?

Solution :

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Digital SAT Problems and Solutions (Part - 1)

Digital SAT Problems and Solutions (Part - 2)

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