Are all of the numbers in a certain list of 20 numbers equal?

1. The sum of all the numbers in the list is 100.
2. The sum of any 5 numbers in the list is 25.

If Set R = {223, 225, 227, 229, 231, 233, 235, 237}, and Set S is formed such that it contains exactly 6 distinct numbers that are members of Set R, what is the standard deviation of the numbers in Set S?

1. The average (arithmetic mean) of the numbers that are members of Set S is equal to the average of the numbers that are members of Set R.
2. Set S does not contain 223.

If QR = 10, what is the area of the triangular region PQR above?

1. $PS=SR=5$
2. $PQ=PR$

If n is a positive integer and $m=6.2*{10}^n$, what is the value of m?

1. $6*{10}^3<m<5*{10}^5$
2. $m^2=3.844*{10}^9$

Last year, a company sold six types of products, each a telephony product or a home appliance. The table above shows the annual revenue from each product as a fraction of the company's total annual revenue. If the company's telephony products generated revenue in excess of $\frac{1}{2}$ of the total annual revenue, is Product 3 a telephony product?

1. Product 1 and Product 6 are telephony products.
2. Product 2 and Product 5 are not telephony products.

What is the median duration of a client engagement, billed in weeks, to the nearest week, at a particular company?

1. Exactly 30 percent of the client engagements last 4 or more weeks.
2. Exactly 40 percent of the client engagements last 2 or fewer weeks.

If u and v are positive, is $\frac{u}{v}$ less than 1?

1. ${\left(uv\right)}^2>1$
2. $u-v>0$

What percent of the female residents of a particular county own a driver's license?

1. Of the owners of a driver's license resident in the county, 25 percent are female.
2. Of the non-owners of a driver's license resident in the county, 25 percent are male.

How many females are members of both the Spanish club and the French club?

1. There were 21 females present at a joint meeting of the members of the Spanish and French clubs, and the only members absent were male.
2. The Spanish club has 14 female members and the French club has 9 female members.

While it is true that effects of disease have been overlooked, the ancient kingdom of People X began to collapse because of the violence, not the new diseases brought by explorers. This much is evident from the fact that the kingdom first fell in the south, in the region under attack by explorers, and only later in the northern part of the kingdom.

Which of the following, if true, would most strengthen the argument above?

If the city goes on polluting the air at present rates, air quality and visibility over the city will begin to suffer, rainwater may be polluted, and the city will contribute to the global problem of greenhouse emissions. Taxing every polluting commercial establishment per volume of polluted air or per particulate volume of greenhouse emissions will induce businesses to reduce the amount of pollution they emit; this charge will therefore protect the city's air.

Which of the following is an assumption made in drawing the conclusion above?

In the face of consumer demands, many agricultural companies in this country have stopped growing genetically modified strains of some of their crops and resumed growing unmodified strains of those crops. Clearly, less genetically modified produce is being farmed in this country as a result of this switch than would have been farmed if those companies had continued to produce the genetically modified variants.

Which of the following, if true, most strengthens the argument above?

The value of gold has crashed; will it ever return to its previous high within the next year? Even at around $60, the value of gold is still up over 100 percent since it matched its last all-time high in the low $30 range just two months ago. One trend is clear, at $60 or at $250, the ecosystem of watching and trading gold continues to expand. Within the next year, without a doubt, more portfolios will include gold, more companies will be created to serve people who consider trading gold, and more people will buy gold. Clearly, it can be concluded that gold will go up.

In the argument given, the two portions in boldface play which of the following roles?

Which of the following most logically completes the argument?

A particular computer virus frequently infects personal computers through an email message. Even though virus-scanning software installed on a computer is designed to identify and alarm the user of a virus infection on that computer shortly after it occurs, this particular virus is rarely observed by virus-scanning software. This fact, however, does not mean that the computer's security systems have blocked installation of the virus, because _______________.

The founders of a new company believe they have developed a new standard of DVD that will display movies at far higher fidelity than any existing standard. While they recognize that the benefits of the new technology may not be sufficient to induce the entire market to adopt the new player and disc formats, they predict that the format will be worth the cost of adoption in commercial venues that show movies on large screens, where the improvement in quality would be quite noticeable.

Which of the following, if true, would most weaken the conclusion drawn above?

Which of the following most logically completes the passage?

In cars, airbags provide good protection for the chest and head, but little or no protection for legs. A study of injuries resulting from car accidents showed that a large proportion were caused by blows to the legs. Therefore, if air bags protected this area, the risk of serious injury in car accidents would be greatly reduced, especially since _______________.

Given that, recently, the founders of startup company Zeddifreddo have confirmed that they are in the late stages of discussion of an acquisition offer from another company, other potential acquirers of the company, who had suspected that Zeddifreddo's business performance was mostly hype and not a product of sound financials, have taken interest in making their own acquisition offers. They figure that, if Zeddifreddo's current potential acquirer has reached late stages of an acquisition discussion without having withdrawn its bid, that the acquirer must have had a chance to audit Zeddifreddo's financial position and has found it to be sound. Such reasoning might be hasty, however, since potential acquirers of a startup have been known to overlook that company's financial soundness and favor the acquisition on other grounds, however ill-advised such a position may be.

In the argument given, the two boldfaced portions play which of the following roles?

Recycled plastic lumber is a building material made from plastic bottles and other plastic waste. Unlike traditional lumber, it won't rot or absorb water, and it is highly resistant to insect damage, so it is well-suited for marine and outdoor applications. Recycled plastic lumber is worth considering as an alternative to traditional lumber for most building projects, with the exception of interior residential projects.

Which of the following, if true, most helps to explain the exception noted above?

Last year the rate of unemployment was 8.2 percent, but this year it has been 7 percent. We can conclude that unemployment is on a downward trend and the rate will be even lower next year.

Which of the following, if true, most seriously weakens the conclusion above?

The design of an ancient pyramid suggests that the population who built the structure had developed the solar calendar. The exterior walls of the partly ruined pyramid consist of four successive stairways, and if a platform at the top of the structure is imagined as a single step atop four stairways of 91 steps each, the total number of steps corresponds to the number of days in the year according to the solar calendar.

Which of the following, if true, most strongly supports the hypothesis?