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157
|
There are 10 books on a shelf, of which 4 are paperbacks and 6 are hardbacks. How many possible selections of 5 books from the shelf contain at least one paperback and at least one hardback?
|
|
158
|
If x is to be chosen at random from the set {1, 2, 3, 4} and y is to be chosen at random from the set {5, 6, 7}, what is the probability that xy will be even?
|
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159
|
The function f is defined for each positive three-digit integer n by $$f(n) = 2^{x}3^{y}5^{z}$$, where x, y, and z are the hundreds, tens, and units digits of n, respectively. If m and v are three-digit positive integers such that $$f(m) = 9f(v)$$, then $$m - v$$ =
|
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160
|
If $$10^{50} - 74$$ is written as an integer in base 10 notation, what is the sum of the digits in that integer?
|
|
161
|
A certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales in 1997 were up 7 percent from 1996. If total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio of revenue from car sales in 1996 to revenue from truck sales in 1996 ?
|
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162
|
Becky rented a power tool from a rental shop. The rent for the tool was $12 for the first hour and $3 for each additional hour. If Becky paid a total of $27, excluding sales tax, to rent the tool, for how many hours did she rent it?
|
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163
|
If 4 < $$\frac{7-x}{3}$$, which of the following must be true?
I. 5 < x
II. | x + 3| > 2
Ill. -(x + 5) is positive.
|
|
164
|
A certain right triangle has sides of length x, y, and z, where x < y < z. If the area of this triangular region is 1, which of the following indicates all of the possible values of y?
|
|
165
|
On a certain day, a bakery produced a batch of rolls at a total production cost of $300. On that day,$$\frac{4}{5}$$ of the rolls in the batch were sold, each at a price that was 50 percent greater than the average (arithmetic mean) production cost per roll. The remaining rolls in the batch were sold the next day, each at a price that was 20 percent less than the price of the day before. What was the bakery's profit on this batch of rolls?
|
|
166
|
A set of numbers has the property that for any number t in the set, $$t + 2$$ is in the set. If -1 is in the set, which of the following must also be in the set?
I. -3
II. 1
Ill. 5
|
|
167
|
A couple decides to have 4 children. If they succeed in having 4 children and each child is equally likely to be a boy or a girl, what is the probability that they will have exactly 2 girls and 2 boys?
|
|
168
|
The closing price of Stock X changed on each trading day last month. The percent change in the closing price of Stock X from the first trading day last month to each of the other trading days last month was less than 50 percent. If the closing price on the second trading day last month was $10.00, which of the following CANNOT be the closing price on the last trading day last month?
|
|
169
|
In the figure above, point O is the center of the circle and $$OC =AC= AB$$. What is the value of x ?
|
|
170
|
An airline passenger is planning a trip that involves three connecting flights that leave from Airports A, B, and C, respectively. The first flight leaves Airport A every hour, beginning at 8:00 a.m., and arrives at Airport B $$2\frac{1}{2}$$ hours later. The second flight leaves Airport B every 20 minutes, beginning at 8:00 a.m., and arrives at Airport C $$1\frac{1}{6}$$ hours later. The third flight leaves Airport C every hour, beginning at 8:45 a.m. What is the $$\underline {least}$$ total amount of time the passenger must spend between flights if all flights keep to their schedules?
|
|
171
|
If n is a positive integer and $$n^{2}$$ is divisible by 72, then the largest positive integer that must divide n is
|
|
172
|
A certain grocery purchased x pounds of produce for p dollars per pound. If y pounds of the produce had to be discarded due to spoilage and the grocery sold the rest for s dollars per pound, which of the following represents the gross profit on the sale of the produce?
|
|
173
|
If x, y, and z are positive integers such that x is a factor of y, and x is a multiple of z, which of the following is NOT necessarily an integer?
|
|
174
|
Running at their respective constant rates, Machine X takes 2 days longer to produce w widgets than Machine Y. At these rates, if the two machines together produce $$\frac{5}{4}$$w widgets in 3 days, how many days would it take Machine X alone to produce 2w widgets?
|
|
175
|
A square wooden plaque has a square brass inlay in the center, leaving a wooden strip of uniform width around the brass square. If the ratio of the brass area to the wooden area is 25 to 39, which of the following could be the width, in inches, of the wooden strip?
I. 1
II. 3
Ill. 4
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|
176
|
$$\frac{2\frac{3}{5}-1\frac{2}{3}}{\frac{2}{3}-\frac{3}{5}}$$=
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