DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 196)

Problem 1 :

57x² + (57 + a)x + ab = 0

In the given equation, a and b are constants. The product of the solutions to the given equation is kab, where k is a constant. What is the value of k?

A)  1/57

B)  1/19

C)  1

D)  57

Solution :

Problem 2 :

If a is 2403% of b + c, and b is 89% of c, what percent of b is a?

Solution :

Problem 3 :

If the graph of the function f(x) = a^x – b passes through the points (c, 9) and (2c, 219), Which of the following could be a value of b?

A)  6

B)  -21

C)  10

D)  -6

Solution :

Problem 4 :

(x + 4)² + (y – 19)² = 121

The graph of the given equation is a circle in the xy-plane. The point (a, b) lies on the circle. Which of the following is the possible value for a ?

A)  -16

B)  -14

C)  11

D)  19

Solution :

Problem 5 :

In the xy-plane, a circle has center C with coordinates (h, k). Points A and B lie on the circle. Point A has coordinates (h + 1, k + √102) and ∠ACB is a right angle. What is the length of AB?

A)  √206

B)  2√102

C)  103√2

D)  103√3

Solution :

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