|
OG20 OG2022
|
Editorial: Our city's public transportation agency is facing a budget shortfall. The fastest growing part of the budget has been employee retirement benefits, which are exceptionally generous. Unless the budget shortfall is resolved, transportation service will be cut, and many transportation employees will lose their jobs. Thus, it would be in the employees' best interest for their union to accept cuts in retirement benefits.
Which of the following is an assumption the editorial's argument requires?
|
|
OG20 OG2022
|
In emerging economies in Africa and other regions, large foreign banks that were set up during the colonial era have long played a major economic role. These institutions have tended to confine their business to the wealthier of banks' potential customers. But development of these countries' economies requires financing of the small businesses that dominate their manufacturing, farming, and services sectors. So economic growth will be likely to occur if local banks take on this portion of the financial services markets, since __________.
Which of the following completions would produce the strongest argument?
|
|
OG20 OG2022
|
Cognitive scientist: Using the pioneering work of comparative psychologist Gordon Gallup as a model, several studies have investigated animals' capacityfor mirror self-recognition (MSR). Most animals exposed to a mirror respond only with social behavior, such as aggression. However, in the case of the great apes, repeated exposure to mirrors leads to self-directed behaviors, such as exploring the inside of the mouth, suggesting that these animals recognize thereflection as an image of self. The implication of these studies is that the great apes have a capacity for self-awareness unique among nonhuman species.
The cognitive scientist makes which of the following assumptions in the argument above?
|
|
OG20 OG2022
|
Hea Sook: One should not readily believe urban legends. Most legends are propagated because the moral lesson underlying them supports a political agenda. People will repeat a tale if it fits their purpose. They may not deliberately spread untruths, but neither are they particularly motivated to investigate deeply to determine if the tale they are telling is true.
Kayla: But people would not repeat stories that they did not believe were true. Therefore, one can safely assume that if a story has been repeated by enough people then it is more likely to be true.
Kayla's reply is most vulnerable to the criticism that it
|
|
OG20 OG2022
|
Mayor: False alarms from home security systems waste so much valuable police time that in many communities police have stopped responding to alarms from homes whose systems frequently produce false alarms. This policy reduces wastage of police time but results in a loss of protection for some residents. To achieve a comparable reduction in wastage without reducing protection for residents, the council has enacted a measure to fine residents for repeated false alarms.
Which of the following, if true, casts the most doubt on whether the measure enacted by the council will achieve its goal?
|
|
OG19-数学分册
|
Each of the 45 books on a shelf is written either in English or in Spanish, and each of the books is either a hardcover book or a paperback. If a book is to be selected at random from the books on the shelf, is the probability less than $$\frac{1}{2}$$ that the book selected will be a
paperback written in Spanish?
(1) Of the books on the shelf, 30 are paperbacks.
(2) Of the books on the shelf, 15 are written in Spanish.
|
|
OG19-数学分册
|
A small school has three foreign language classes, one in French, one in Spanish, and one in German. How many of the 34 students enrolled in the Spanish class are also enrolled in the French class?
(1) There are 27 students enrolled in the French class, and 49 students enrolled in either the French class, the Spanish class, or both of these classes.
(2) One-half of the students enrolled in the Spanish class are enrolled in more than one foreign language class.
|
|
OG19-数学分册
|
M and N are integers such that 6 < M < N. What is the value of N?
(1) The greatest common divisor of M and N is 6.
(2) The least common multiple of M and N is 36.
|
|
OG19-数学分册
|
If Mel saved more than $10 by purchasing a sweater at
a 15 percent discount, what is the smallest amount the
original price of the sweater could be, to the nearest
dollar?
|
|
OG19-数学分册
|
After 4,000 gallons of water were added to a large
water tank that was already filled to $$\frac{3}{4}$$ of its capacity, the
tank was then at $$\frac{4}{5}$$ of its capacity. How many gallons
of water does the tank hold when filled to capacity?
|
|
OG19-数学分册
|
How many integers between 1 and 16, inclusive, have,
exactly 3 different positive integer factors?
(Note: 6 is NOT such an integer because 6 has
4 different positive integer factors: 1, 2, 3, and 6.)
|
|
OG19-数学分册
|
If d = 2.0453 and $$d^{*}$$ is the decimal obtained by
rounding d to the nearest hundredth, what is the value
of $$d^{*}$$ - d?
|
|
OG19-数学分册
|
A nursery sells fruit trees priced as shown in the chart
above. In its inventory 54 trees are less than 5 feet
in height. If the expected revenue from the sale of its
entire stock is estimated at $2,450, approximately
how much of this will come from the sale of trees that
are at least 5 feet tall?
|
|
OG19-数学分册
|
The annual interest rate earned by an investment
increased by 10 percent from last year to this year. If
the annual interest rate earned by the investment this
year was 11 percent, what was the annual interest rate
last year?
|
|
OG19-数学分册
|
In the figure above, what is the area of triangular
region BCD?
|
|
OG19-数学分册
|
What is the larger of the 2 solutions of the equation
$$x^{2} - 4x = 96$$?
|
|
OG19-数学分册
|
Of the goose eggs laid at a certain pond,$$\frac{2}{3}$$ hatched,
and $$\frac{3}{4}$$ of the geese that hatched from those eggs
survived the first month. Of the geese that survived
the first month, $$\frac{3}{5}$$ did $$\underline{not}$$ survive the first year. If
120 geese survived the first year and if no more than
one goose hatched from each egg, how many goose
eggs were laid at the pond?
|
|
OG19-数学分册
|
Each machine at a toy factory assembles a certain kind
of toy at a constant rate of one toy every 3 minutes.
If 40 percent of the machines at the factory are to be
replaced by new machines that assemble this kind
of toy at a constant rate of one toy every 2 minutes,
what will be the percent increase in the number of
toys assembled in one hour by all the machines at the
factory, working at their constant rates?
|
|
OG19-数学分册
|
Half of a large pizza is cut into 4 equal-sized pieces, and
the other half is cut into 6 equal-sized pieces. If a person
were to eat 1 of the larger pieces and 2 of the smaller
pieces, what fraction of the pizza would remain $$\underline{uneaten}$$?
|
|
OG19-数学分册
|
In a certain learning experiment, each participant had
three trials and was assigned, for each trial, a score of
either -2, -1, 0, 1, or 2. The participant's final score
consisted of the sum of the first trial score, 2 times
the second trial score, and 3 times the third trial
score. If Anne received scores of 1 and -1 for her first
two trials, not necessarily in that order, which of the
following could NOT be her final score?
|