Was the median height of the 25 children in a certain class at least 2 percent greater than the average (arithmetic mean) height of the 25 children?
(1)
The median height of the 25 children was 2 centimetefs greater than their average height.
(2)
The sun of the heights of the 25 children was less than 2,550 centimeters.
A.
Statement (1) ALONE is sufficient but statement (2) alone Is not sufficient.
B.
Statement (2) ALONE is sufficient, but statement (1) alone is not suf ficient.
C.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE Is sufficient.
D.
EACH statement ALONE Is sufficient.
E.
Statements (1) and (2) TOGETHER are NOT sufficient.
A company executive wants to divide the company's n departments into a number of new divisions. How many departments does the company have?
(1)
If each new division is to have 5 departments, 2 departments will be left over.
(2)
If each new division is to have 6 departments, 3 departments vrfl be left over.
A.
Statement (1) ALONE is sufficient but statement (2) alone Is not sufficient.
B.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE Is sufficient.
D.
EACH statement ALONE Is sufficient.
E.
Statements (1) and (2) TOGETHER are NOT sufficient.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
A. Ill only
B. I and II only
C. I and III only
D. II and III only
E. I, II, and III
Christa, Jada, and Yvette were swimming laps at an outdoor swimming pool. Christa planned to swim for Cm minutes at a constant speed and swim a total of t~. laps. Jada planned to swim for Jm minutes at a constant speed and swim a total of Jt laps. Yvette planned to swim for Y,, minutes at a constant speed and swim a total of Yi laps. They started swimming at the same time and stopped swimming at the same time when lightning began to occur. If Christa lost 40% of her planned swimming time, which of the 3 swimmers lost the greatest percentage of her planned laps?
A. Statement (l) ALONE Is sufficient, but statement (2) alone is not sufficient
B. Statement (2) ALONE is sufficient, but statement (1) atone is not sufficient
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient
If n is positive integer, which of the following could be equal to (n+1)3 - (n3+1)3?
A. Option A
B. Option B
C. Option C
D. Option D
E. Option E
When placed on the floor of a room, a rectangular rug that is 5 feet wide and 7 feet long covers all of the floor except for a uniformly 2-foot-wide strip on each side of the rug. What percent of the area of the floor is not covered by the rug?
A. Less than 20%
B. More than 20% but less than 40%
C. More than 40% but less than 60%
D. More than 60% but less than 80%
E. More than 80%
Despite the fact that the seeds of certain tropical trees fall mostly around the parent tree, the seeds that land farther from the parent trees of these species have the greatest chance of germinating. One hypothesis is that the effect is caused by rodents eating a larger number of seeds beside the parent tree than seeds in places farther away, but studies have shown that this is not so.
Which of the following, If true, would most help explain the effect described above?
A. Tree sprouts from seeds must compete for moisture and nutrients with some of the plant life in their immediate vicinity.
B. Some tropical trees have winged seeds that tend to prevent them landing beside the parent trees.
C. Certain tropical tree species are preferentially colonized by some types of mammals.
D. Soil microbes that prey on seeds and other biological material from trees of the tropical species in question tend to be densest near those trees.
E. Some plants emit chemicals that are harmful to nearby seeds of other species.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient
E. Statements (1) and (2) TOGETHER are NOT sufficient.
It is known from cave paintings and other evidence that the hunting people occupying the Bax Cave area in Country X tens of thousands of years ago repeatedly set fire to the surrounding area. Archaeologists hypothesize that because the fires caused later plant growth on the land, the hunters set the fires in order to attract herbivorous prey species. Such actions, they claim, are evidence for the mental capacity to delay gratification for weeks, months, or even years.
Which of the following would it be most useful to determine in evaluating the archaeologists' claim?
A. Whether the Bax Cave area is susceptible to fires caused by lightning strikes
B. Whether remains can be found of hunting tools from tens of thousands of years ago in or near the Bax Cave
C. Whether people occupying the Bax Cave tens of thousands of years ago consumed plants adapted to fire ecologies
D. Whether in the immediate aftermath of fires in the Bax Cave area, animals sought by hunters came to seek prey driven out of dens or other shelters
E. Whether the mental capacity to delay gratification for weeks, months, or even years was exhibited by contemporaries of the people occupying the Bax Cave tens of thousands of years ago
Which of the following does information in the passage most strongly suggest is true?
A. People going to watch a film that is expected to evoke negative emotion are more likely to sit at the front of the theater than at the back.
B. Left-handed people are more likely than others to prefer sitting on the left side of a movie theater to sitting on the right side.
C. Some people gaing to watch a movie, whether comedy, drama, or other genre, prefer sitting on the left side of the theater to sitting on the right side.
D. Students who sit on the left side of a classroom and direct their frontal gaze somewhat to the right receive more visual information from the left side than the right side of their visual field.
E. Ambidextrous people are as likely to prefer sitting on the left side of a movie theater as on the right side.
The passage most clearly indicates that which of the following types of evidence has been cited to support each of the theories mentioned in the first paragraph?
A. The known historical geographical ranges of Indo-European languages
B. Statistical calculations of the likely relationships among Indo-European languages
C. Similarities among the vocabularies of different Indo-European languages
D. Archaeological evidence suggesting when proto-Indo-European split into different Indo-European languages
E. The archeclogically-established migration patterns of ancient peoples who spoke a language ancestral to all Indo-European languages
The passage suggests most strongly that in the presence of certain economic conditions, gray markets will encourage authorized retailers to
A. begin selling higher quality products
B. develop a better relationship with manufacturers
C. compete more intensely with other authorized retailers
D. advertise less frequently
E. abandon trying to attract certain types of customers that they would otherwise try to attract