Digital SAT Math Questions and Answers (Part - 12)

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Question 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.

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Question 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?

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Question 3 :

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

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Question 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?

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Question 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?

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Question 6 :

The total resistance R, measured in ohms, of a parallel circuit with two resistors is given by

Where R₁ and R₂ are the resistances, in ohms, of the first and second resistors, respectively. In a parallel circuit with two resistors, the first resistor has twice the resistance of the second. The total resistance of the circuit is what fraction of the resistance of the second resistor?

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Question 7 :

In the figure above E and F are the mid points of two sides of a rectangle. If the area of ΔCEF is 10, what is the area of the shaded region?

A) 15

B) 20

C) 25

D) 30

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Question 8 :

The graphs of a linear function f and a quadratic function g are shown in the xy-plane above. If f[g(k)] = 3, what is the value of|k|?

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Question 9 :

Twenty grams of solution P is 10% alcohol and 30 grams of solution Q is 20% alcohol by mass. If these two solutions are mixed together, what is the percent of alcohol in the mixture ?

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Question 10 :

In the figure above, a circle is inscribed in ΔPQR. If PQ = 3 and PR = 4, what is the radius of the circle?

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Question 11 :

On simplification, which of the following is equal to the above expression?

A) x

B) 1/x

C) √x

D) 1/√x

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Question 12 :

On simplification, which of the following is equal to the above expression?

A) 0

B) a

C) 1

D) 1/a

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Question 13 :

The total cost of an internet phone-call is the sum of a basic fixed charge for using the internet and an additional charge for each minute that is used. The total cost of a 20 minute-call is $24 and the total cost of a 35 minute-call is $31.50. What is the total cost, in dollars, of a 40 minute-call?

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Question 14 :

The two triangles in figure above, labeled A and B, each have the same area. The base of triangle B is p percent longer than the base of triangle A, and the height of triangle B is r percent less than the height of triangle A. If p – r = 5, which of the following could be the value of p?

A) 15

B) 18

C) 23

D) 25

Answer :