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Created by Master Student

Quantitative Reasoning Practice Test #2

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If x mod y is the remainder when x is divided by y, then (61 mod 7) - (5 mod 5) =

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If (x + y)2 = (x -y)2, which of the following must be true?

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Which of the following lines is perpendicular to the line 3x - 2y = 16 ?

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If f(g(x)) = 4x2 - 8x and f(x) = x2 - 4, then g(x) =

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If x - 3 = 3(1 - x), then what is the value of x ?

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If a remainder of 4 is obtained when x3 +2x2 - x - k is dividedby x - 2, what is the value of k?

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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 log2m = x and log2n = y, then mn =

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If a circle has a circumference of 16 inches, the area of a sector with a central angle of 4.7 radians is

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Which of the following is a vertex of 16x2 - y2 - 32x - 6y - 57 = 0?

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If f(x) = i, where i is an integer such that i x < i + 1, the range of f(x) is

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If f(x) = - 1, for all x > 0, then f-1(x)

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For f(x) = 3x2 + 4, g(x) = 2, and h = {(1,1), (2,1), (3,2)},

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In a group of 30 students, 20 take French, 15 take Spanish, and 5 take neither language. How many students take both French and Spanish?

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What is the sum of the infinite geometric series ?

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Within a given area code, how many seven-digit numbers are available, given the restrictions that the first three digits cannot be 911 or 411 and the first digit cannot be a 1 or a 0?

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All of the following can be formed by the intersection of a cube and a plane EXCEPT

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If f(x) = logbx and f(2) = 0.231, the value of b is

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If the roots of the equation 2x2 + k = 8x are real, which of the following expresses all the possible values fork?

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If f(x) = x2 - 3x, then f(-3) =

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In ABC, if sin A = and sin B = , sin C =

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The positive zero of y = 3x2 - 4x - 5 is, to the nearest tenth, equal to

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The parabola with the equationhas how many points with (x, y) coordinates that are both positive integers?

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fair cube is one that is labeled with the numbers 1, 2, 3, 4, 5, and 6, such that there is an equal probability of rolling each of those numbers. If Jade rolls two fair cubes at the same time, then what is the probability that the product of the two numbers she rolls will be greater than 18 ?

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If f(x) = ex and g(x) = sin x, then the value of (fg)( ) is

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

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Which of the following has the greatest value?

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What value(s) must be excluded from the domain of ?

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The plane whose equation is 5x + 6y + 10z = 30 forms a pyramid in the first octant with the coordinate planes. Its volume is

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Circle O is centered at (-3, 1) and has a radius of 4. Circle P is centered at (4, -4) and has a radius of n. If circle O is externally tangent to circle P, then what is the value of n ?

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A salad bar has 7 ingredients, excluding the dressing. How many different salads are possible where two salads are different if they don't include identical ingredients?

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How many distinct 3-digit numbers contain only nonzero digits?

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A code consists of two letters of the alphabet followed by 5 digits. How many such codes are possible?

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If the 20th term of an arithmetic sequence is 20 and the 50th term is 100, what is the first term of the sequence?

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Sheila leaves her house and starts driving due south for 30 miles, the n drives due west for 60 miles, and finally drives due north for 10 miles to reach her office. Which of the following is the approximate straight-line distance, in miles, from her house to her office?

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What is the length of the major axis of the ellipse whose equation is 10x2 + 20y2 = 200?

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(x +y + 3)(x + y + 3) =

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Harry had grades of 70, 80, 85, and 80 on his quizzes. If all quizzes have the same weight, what grade must he get on his next quiz so that his average will be 80?

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Which of the following most closely approximates (5.5e4)^2 ?

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What is the area of a triangle with vertices (1,1), (3,1), and (5,7)?