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Created by Master Student

Quantitative Reasoning Practice Test #4

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A recent survey reported that 60 percent of the students at a high school are girls and 65 percent of girls at this high school play a sport. If a student at this high school were selected at random, what is the probability that the student is a girl who plays a sport?

2 / 40

If f(x) = x2 - 10 and g(x)= 4x + 3, what is f(g(2))?

3 / 40

In the function g(x) = A[sin (Bx + C)] + D, constants are represented by A, B, C, and D. If g(x) is to be altered in such a way that both its period and amplitude are increased, which of the following constants must be increased?

4 / 40

When 3x3 + 2x2 + 2x + kis divided by x + 2, the remainder is 4. What is the value ofk?

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If a1 = 3 and an = n + an-1, the sum of the first five terms is

6 / 40

In Titheland, the first 1,000 florins of any inheritance are untaxed. After the first 1,000 florins, inheritances are taxed at a rate of 65%. How large must an inheritance be, to the nearest florin, in order to amount to 2,500 florins after the inheritance tax?

7 / 40

If f(x) =|x| + 10, for which of the following values of x does f(x) = f(-x) ?

8 / 40

e point (5, -10) is at a distance of 26 from point Q, and the point (2, -10) is at a distance of 25 from Q. Which of the following could be the coordinates of Q ?

9 / 40

If logy 2 = 8, then y =

10 / 40

In how many ways can a committee of four be selected from nine men so as to always include a particular man?

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Mary spends40% of her monthly earnings on rent and 10% of the remaining amount on entertainment. If she spends \$800 for rent, how much does she use for entertainment?

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If f(x, y) = for all x, y, f(a, b) = 15, f(b, c) = 20, and f(a, c) = 10, which of the following could be the product of a, b, and c ?

13 / 40

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

14 / 40

If a1 = 5 and find a3.

15 / 40

If a - x = 12, b - y = 7, c - z = 15, and a + b + c = 50, then x + y + z =

16 / 40

At a dance competition, each of six couples must compete against the other five couples in a dance-off three times before the winning couple can be declared. How many such dance-offs will occur?

17 / 40

The area bound by the relation |x| + |y| = 2 is

18 / 40

If a geometric sequence begins with the terms , 1, ? ? ? , what is the sum of the first 10 terms?

19 / 40

Which statement is true for the set of numbers {6, 7, 11, 6, 8}?

20 / 40

Take 6 less than a number n. If you raise this result to the 5th power, it is equal to 32. What is the value of n?

21 / 40

The length of the segment joining the points with coordinates (-2,4) and (3,-5) is

22 / 40

|x - y| + |y - x|

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If pointA(3,5) is located on a circle in the coordinate plane, and the center of the circle is the origin, which of the following points must lie outside this circle?

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If the point (5, 2) is reflected across the x-axis, then what are the coordinates of the resulting point?

25 / 40

If f(x) = and g(x) = + 1, then f(g(2.3)) =

26 / 40

If 2x + y = 2y - x, the n y =

27 / 40

Suppose Find the magnitude of

28 / 40

The number of employees who work at Company A increased by 18% during the year2003. During 2004, the number of employees increased by 26%. What was the approximate percent of increase, to the nearest percent, in employment over the two-year period?

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If a varies directly as b2, and a = 14 when b = 2, then what is the value of a when b = 5 ?

30 / 40

If 25percent of a certain number is 36, what would 40 percent of the same number be?

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Students in a certain research program are either engineers or doctoral candidates; some students graduate each year. In a certain year, no doctoral candidates graduate. Which of the following statements must be true?

32 / 40

Joan and Grant are shopping at the deli for lunchmeat. If Joan buys 3 pounds of bologna for \$2.80 per pound, and Grant buys 2 pounds of pastrami for \$1.80 per pound, then what is the average (arithmetic mean) price per pound of all the lunchmeat they buy?

33 / 40

If 3x3 - 9x2 + Kx - 12 is divisible by x - 3, then K =

34 / 40

If = 6.25, then x could equal which of the following?

35 / 40

For what value(s) of x, 0 < x < , is sin x < cos x?

36 / 40

If the second term in an arithmetic sequence is 4, and the tenth term is 15, what is the first term in the sequence?

37 / 40

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

38 / 40

If x < |x| and x2 + 2x - 3 = 0, then 2x + 4 =

39 / 40

Of the 850 stores in Noel-Bentley County, 250 have alarm systems and 450 have guard dogs. If 350 stores have neither alarm systems nor guard dogs, then how many stores have both alarm systems and guard dogs?

40 / 40

A rubber ball is dropped from a height of 10 meters. If the ball always rebounds the distance it has fallen, how far, in meters, will the ball have traveled at the moment it hits the ground for the fourth time?