10 Hard SAT Math Questions (Part - 28)

Question 1 :

The function f is defined by f(x) = 78(0.39)x. For any positive integer n, the value of f(n) is p% less than the value of f(n – 1). What is the value of p?

A)  78

B)  61

C)  39

D)  22 

Answer :

Question 2 :

For which value of a, does the quadratic equation (7x – 8)2 + 9 = a have only one solution?

Answer :

Question 3 :

What is the perimeter of an equilateral triangle with an area of 289√3?

Answer :

Question 4 :

92x - 1,789 = kx - 1,790

In the given equation, k is a positive integer constant greater than 91. The equation has exactly one solution. What is the least possible value of k?

Answer :

Question 5 :

f(x) = ax - b

The exponential function given above passes through points (c, 12) and (2c, 768). What is a possible value of b?

Answer :

Question 6 :

If r = ∛k, for the equation r12a - 9 = k, what is the value of a for which r and k are equal?

Answer :

Question 7 :

4x3 + bx2 - 528x = 0

In the given equation, b is a positive integer constant. Which value could be a solution to the equation?

A)  -13

B)  -12

C)  -6

D)  12

Answer :

Question 8 :

Circle A has the equation (x - 18)2 + y2 = 27. Circle B has the equation (x - 18)2 + (y - m)2 = 50. If Circle B passes through the center of circle A, what is a possible value of m?

A)  3√3

B)  5√2

C)  5√2 - 3√3

D)  5√2 + 3√3

Answer :

Question 9 :

If x2 = j + k and y2 = jm which of the following is equal to (x2 - y2)2 ?

A)  k2 - 2jm + m2 

B)  k2 - 2km + m2 

C)  4j2 - 4jkm + m2

D)  4j2 - 2jkm + k2m2

Answer :

Question 10 :

-x2 + kx - 3,786 = 0

In the given equation, k is a positive integer. If the equation has no real solution, what is the greatest possible value of k?

Answer :

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10 Hard Digital SAT Math Questions (Part - 28)

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