|
163
|
If $$4 < \frac{7 - x}{3}$$, which of the following must be true?I. 5 < xII. |x + 3| >2III. - (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.-3II.1III.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 involves three connecting flight 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 Airpoort C every hour, beginning at 8:45 a.m. What is the 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 $$\frac5 4$$ 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. 1II. 3III. 4
|
|
176
|
$${2\frac{3}{5}-1\frac{2}{3}}\over{\frac{2}{3}-\frac{3}{5}}$$=
|