|
|
It is known that no more than 7 children will be attending a party. What is the smallest number of cookies that must be brought to the party so that each child receives the same number of cookies?
|
|
|
A group of items was studied to determine whether or not each item possessed characteristic A and whether or not each item possessed characteristic B. Among the items possessing characteristic A,17 items possessed characteristic B while 31 items did not possess characteristic B. If 60 percent of the items did not possess characteristic A, how many items were in the group?
|
|
|
In order to reduce classroom overcrowding while maintaining academic standards, Omega High School last year tested an online physics course with twenty volunteers from the senior class. Although they met with the teacher once a week for lab work, the students attended all lectures and did all their homework via remote computer. All of the students in the online physics course easily passed the statewide physics exam at the end of the school year. Administrators at the high school concluded from this test that all students can learn effectively outside the classroom and decided that Omega High School should offer all of its science courses online.Which of the following, if true, would cast the most doubt on the conclusion drawn above?
|
|
|
A fatal disease caused by the parasite Encarsia formosa and spread by greenhouse whiteflies has already killed 50 percent of the cucumber crops planted on the Redfern farm, the largest cucumber producing farm in the northeastern United States. Trialeurodes vaporariorum kills the larvae of greenhouse whiteflies. In an effort to save the remaining cucumber crops on the farm, plant biologists plan to introduce Trialeurodes vaporariorum to the cucumber fields of Redfern farm.Which of the following, if true about Trialeurodes vaporariorum, provides the strongest evidence that the plan will succeed?
|
|
|
Physicians' associations argue that because only physicians understand the underlying skills that an individual needs in order to practice medicine according to professional standards, these associations should continue to exercise control over the admissions standards of medical schools. Critics reply that in other fields, professional standards are upheld even though professional associations do not control admissions standards for schools.Which of the following, if true, most strongly supports the argument of the physicians' associations against the challenge offered by the critics?
|
|
|
European green crabs are an invasive species which have recently colonized the Northwest coast of North America, among other places. They disrupt ecosystems and prey heavily on native shellfish. However, in Europe, the population of green crabs is kept relatively low by a parasitic barnacle called Sacculina carcini. This barnacle is hardy and could likely be introduced to areas where the European green crab threatens to ruin established ecosystems.Which of the following, if true, most strongly supports the argument that it would NOT be advisable to attempt to eliminate European green crabs from the Northwest coast of North America by introducing to the area the parasitic barnacle discussed above?
|
|
|
At the Cosquer Cave in France, deep sea divers discovered charcoal prints in the shape of hand stencils, thought to be at least 10,000 years old, on the walls of the undersea cave. Analysis of the prints, which appear in a number of different sizes, showed that they had been made with high-pressure charcoal no denser than that comprising the dense walls of the cave itself. However, scientists were unable to replicate the charcoal prints on the walls of the Cosquer Cave, because small pieces of charcoal from the cave walls do not maintain their consistency underwater and the prints were immediately washed away.Which of the following, if true, would, taken together with the information above, provide the best basis for the claim that the prints were in fact charcoal handprints made by people during the Upper Paleolithic era, which ended 10,000 years ago?
|
|
|
In 1886, the paintings of Vincent Van Gogh began to exhibit simple, elegant lines and vivid colors. Art historians explain this change as the incorporation of another culture's artistic tradition and argue on this basis that Van Gogh became interested in Japanese art at this time.Each of the following, if true, provides some support for the art historians' account described above EXCEPT:
|
|
|
What is the maximum number of sheep that Ruben's pen will hold?1. If 8 sheep are removed from the pen when it is$$\frac{2}{3}$$ full, the number of sheep in the pen will decrease by $$\frac{1}{4}$$.2. Currently, there are 12 sheep in the pen.
|
|
|
$${(5^{8}+1){(5^{4}+1)}{(5^{2}+1)}{(5^{2}-1)}}$$=
|
|
|
Which of the following is NOT equivalent to $${49}({a}^{2})={9}({b}^{2})-{4}$$?
|
|
|
If$$ {(2y-5)}^{2}=361$$, which of the following could be the value of y + 2?
|
|
|
Three medical experts, working together at the same constant rate, can write an anatomy textbook in 24 days. How many additional experts, working together at this same constant rate, are needed to write the textbook in 9 days?
|
|
|
What is the sum of the different positive prime factors of 1092?
|
|
|
At a delivery store, seven packages have an average (arithmetic mean) weight of 225 pounds and a median weight of 270 pounds. What is the maximum possible weight, in pounds, of the lightest package?
|
|
|
If the points A, B, and C are distinct, are line segments AB and AC the same length?1. A is the midpoint of the line segment BC.2. Arc BC lies on a particular circle with center A.
|
|
|
If m denotes a number to the left of 0 on the number line such that $$m^{4}$$ is less than$$\frac{1}{81}$$ , then the the reciprocal of $$m^{2}$$ must be
|
|
|
Which of the following inequalities has a solution set that, when graphed on a number line, is a single, finite line segment?
|
|
|
In a survey of 348 employees, 104 of them are uninsured, 54 work part time, and 12.5 percent of employees who are uninsured work part time. If a person is to be randomly selected from those surveyed, what is the probability that the person will neither work part time nor be uninsured?
|
|
|
If a, b, and c are positive integers, with a< b< c on secutive c and b, a, are >(1)$$\frac{1}{a}-\frac{1}{b}=\frac{1}{c}$$(2)$${a}+{c}={b}^{2}-{1}$$
|