DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 135)

Problem 1 :

Two right circular cylinders A and B have the same volume. The radius of cylinder A is 20% longer than the radius of cylinder B. Which of the following statements correctly describes the relationship between the heights of the two cylinders?

A)  The height of cylinder B is 14% greater than the height of cylinder A.

B)  The height of cylinder B is 20% greater than the height of cylinder A.

C)  The height of cylinder B is 24% greater than the height of cylinder A.

D)  The height of cylinder B is 44% greater than the height of cylinder A.

Solution :

Problem 2 :

Lianna plays a card game in which she gets 5 points for every red card she draws, but loses 10 points for every black card she draws. By the end of the game, Lianna drew 7 times as many red cards as black cards for a final total of 75 points. How many red cards did she draw during the game?

Solution :

Problem 3 :

In the figure above AB, BC, CD, DE and EA are line segments. What is the value of x + y?

Solution :

Problem 4 :

In the figure above, points A, B and D lie on the same line. If AB = 18, BE = 8 and DE = 6, what is the value of sin A?

Solution :

Problem 5 :

The difference between two numbers is 30. One of the numbers, x, is 20% less than the other number. What is the value of x?

Solution :

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