10 Hard SAT Math Questions (Part - 41)

Question 1 :

Right rectangular prism X is similar to right rectangular prism Y. The surface area of right rectangular prism X is 58 square centimeters cm (cm²), and the surface area of right rectangular prism Y is 1,450 cm². The volume of right rectangular prism Y is 1,250 cubic centimeters (cm³ ). What is the sum of the volumes, in cm³, of right rectangular prism X and right rectangular prism Y?

Answer :

Question 2 :

In the given equation, k is a constant. The equation has exactly one real solution. What is the value of 4k?

Answer :

Question 3 :

In triangle ABC, ∠B is right angle, measure of ∠A is 30°, the length of hypotenus is 20√3 units and the area of triangle can be written as a√b, where a and b are positive integers and also not perfect squares. What is the value of a + b?

Answer :

Question 4 :

72x² – (18p + 9q)x + 64p = –32q

In the given equation, p and q are positive constants. The product of the solutions to the given equation is n(2p + q), where n is a constant. What is the value of n?

Answer :

Question 5 :

In the xy-plane, the graph of y = g(x) is the result of translating the graph of y = f(x) down 3 units and to the left by 5 units. If the function f is defined by f(x) = (x – 3)² + 1, which equation defines the function g?

A)  g(x) = (x – 8)² – 2

B)  g(x) = (x + 2)² – 2

C)  g(x) = (x – 8)² + 4

D)  g(x) = (x + 2)² + 4

Answer :

Question 6 :

In the figure shown, point B lies on line segment DF, point E lies on line segment AC, line segments AB and DE intersect at point W, and line segments BC and EF intersect at point X. The measure of angle ∠A is 40°, the measure of angle ∠C is 60°, the measure of angle ∠D is 68°, and the measure of angle ∠FBC is 72°. What is the measure, in degrees, ∠AED?

Answer :

Question 7 :

A clothing store sells a certain jacket for 20% more than its suggested retail price. Using a rewards card, a customer is able to purchase the jacket for 25% less than what the store sells it for. The customer's purchase price is what percent of the jacket's suggested retail price?

A)  80%

B)  84%

C)  90%

D)  95%

Answer :

Question 8 :

If p : q is equal to √(p - x²) : √(q - x²), then which of the following is equal to x²?

A)  p/(p + q)

B)  q/(p + q)

C)  pq/(p - q)

D)  pq/(p + q)

Answer :

Question 9 :

If 5^a = 6^b = 30^–c, what is the value of 1/a + 1/b + 1/c?

Answer :

Question 10 :

The ratio of radii of two circles is 2 : 5 and the area of the first circle is 36π. Which of the following is the area of the second circle?

A)  5π

B)  25π

C)  125π

D)  225π

Answer :

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