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Created by Master Student

Quantitative Reasoning Practice Test #6

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If f(x) = x + 3 and g(x) =f(5x), g(2) =

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If avaries directly as b and If a = 4 when b = 5, whatis the value of a when b = 10?

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If the ratio of sec x to csc x is 1 : 4, then the ratio of tan x to cot x is

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The menu of a certain restaurant lists 10 items in column A and 20 items in column B. A family plans to share 5 items from column A and 5 items from column B. If none of the items are found in both columns, then how many different combinations of items could the family choose?

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If {(3,2),(4,2),(3,1),(7,1),(2,3)} is to be a function, which one of the following must be removed from the set?

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If 5xy = 2, what is the value of (5xy)5xy?

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If a> b and c > d, which of the following must betrue?

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In terms ofx, what is the average (arithmetic mean) of 4x - 2,x + 2, 2x + 3, and x + 1?

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In triangle ABC, = and = . If angles A, B, and C are opposite sides a, b, and c, respectively, and the triangle has a perimeter of 16, then what is the length of a ?

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Which of the following triplets can be the lengths of the sides of a triangle ?

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If for all nonzero real numbers, for what value of k does f(f(x)) = x ?

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A jeep has four seats, including one driver's seat and three passenger seats. If Amber, Bunny, Cassie, and Donna are going for a drive in the jeep, and only Cassie can drive, then how many different seating arrangements are possible?

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For what value of x is f(x) = 6 + (x-2)2 at its minimum?

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The system of equations given by
2x + 3y = 7
10x + cy = 3
has solutions for all values of c EXCEPT

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Where defined, =

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A central angle of two concentric circles is . The area of the large sector is twice the area of the small sector. What is the ratio of the lengths of the radii of the two circles?

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If a and b are the domain of a function and f(b) < f(a), which of the following must be true?

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If $300 is invested at 3%, compounded continuously, how long (to the nearest year) will it take for the money to double? (If P is the amount invested, the formula for the amount, A, that is available after t years is A = Pe0.03t.)

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What is the value of |6 - 3i| ?

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A parallelogram has angles of measure 45 degrees and 135 degrees. the shorter side of the parallelogram measures 2.83 meters, and the o the r side is 8.83 meters. What is the area of the parallelogram, to the nearest hundredth?

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What is a possible form of the quadratic equation, If the sum of the roots is-1 and the product of the roots is -20?

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How many possible rational roots are there for 2x4 + 4x3 - 6x2 + 15x - 12 = 0?

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If the n (3 + i)(3 - i) =

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A function is said to be even if f(x) = f(-x). Which of the following is not an even function?

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In a plane there are 8 points, no three of which are collinear. How many lines do the points determine?

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If f(x) = (3 - 4)2, then how much does f(x) increase as x goes from 2 to 3 ?

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How many dIf ferent-sized rectangular solids with a volume of 32 cubic units are the re such that each dimension has an integer value?

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In JKL,sin L = ,sin J = , and JK = inches. The length of KL , in inches, is

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Sphere O is inscribed in cube A, and cube B is inscribed in sphere O. Which of the following quantities must be equal?

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Which of the following expresses the range of values of y = g(x), if g(x) = ?

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What is the point of intersection of the line that passes through the points (1,5)and (3,9) and the line perpendicular to that line that passes through the point (0,-2)?

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By how much does the arithmetic mean between 1 and 25 exceed the positive geometric mean between 1 and 25?

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Five boys and 6 girls would like to serve on the homecoming court, which will consist of 2 boys and 2 girls. How many different homecoming courts are possible?

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A parabola with a vertical axis has its vertex at the origin and passes through point (7,7). The parabola intersects line y = 6 at two points. The length of the segment joining these points is

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If 4a2 - 4b = 5 and the n b =

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log2 m = and log7 n = , mn =

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In how many distinguishable ways can the seven letters in the word MINIMUM be arranged, if all the letters are used each time?

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If = , then =

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The liney = -1 intersects the parabola y = x2 - 10x + 24at one point. What is the vertex of the parabola?

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A linem with a slope ofpasses through the points (-4,1) and (1,y). What is the value of y?

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