In 2008, Company A had a total profit of $220 million. If half of the customers who switched to Company A were responsible for half of the profit for Plan X, how much did those customers contribute per person toward Company A’s profit for the year?

All of the students in a certain class are either 7 or 8 years old. 80 percent of the students are boys and 25 percent of the girls are 8 years old. If there are an equal number of 7-year-olds and 8-year-olds, and x percent of the students in the class are boys who are 7 years old, what is x?

The circumference of a circle is 4π. Which of the following values can be the area of a rectangle inscribed in the circle?
Indicate all possible values.

The half-life of a certain radioactive substance is 6 hours. In other words, if you start with 8 grams of the substance, 6 hours later you will have 4 grams. If a sample of this substance contains x grams, how many grams remain after 24 hours?

If r < 0 and 0 < pq/r < 1, which of these must be true?

Indicate all possible values.

A manufacturer’s gross profit on an item was 20 percent of the cost of the item. If the manufacturer increased the selling price of the item from $60 to $65, while kept the cost of the item same, then the manufacturer’s profit on the item after the price increase was what percent of the cost of the item?

Quantity A: The x-coordinate of point Q

Quantity B: -1

x is a positive odd integer

Quantity A: (-3)^x

Quantity B: -(2^2x)

Select the two answer choices that, when used to complete the sentence, fit the meaning of the sentence as a whole and produce complete sentences that are alike in meaning.

Although scientific progress leads to constant revision of ideas, one observation that has remained _____ over the years is that there are a lot of insects in the world: some 950,000 species have been identified.

Select the two answer choices that, when used to complete the sentence, fit the meaning of the sentence as a whole and produce complete sentences that are alike in meaning.

Anne Carson’s book Nox is, very deliberately, _____ literary object—the opposite of an e-reader, which is designed to vanish in your palm as you read on a train.

For each blank select one entry from the corresponding choices along the row. Fill all blanks in the way that best completes the text.

His grandmother’s house was always a bedlam of porcelain figurines, collector’s spoons, and other (i) __________ doodads. But it hardly would have been (ii) __________ to tell her that he thought her choice of décor was vulgar; in fact, he had to think (iii) _________, because the avaricious youth was gunning for a big birthday present from her.

Blank (i): (A) tacky, (B) vitreous, (C) grizzled

Blank (ii): (D) tactful, (E) rancorous, (F) doting

Blank (iii): (G) amicably, (H) tactically, (I) duplicitously

The Green Peas Grocery Store in the remote wealthy enclave of Luxville charges more than the Green Peas Grocery Store in Oak City charges for the same items. Clearly, on any given item, the Green Peas grocery franchise is taking advantage of its location in Luxville to reap higher profits on that item.

In evaluating the argument, it would be most useful to compare

Downtown Greensborough is a major financial center, in which many citizens either drive or rely on public transportation to get to work. This setup has led up to a spate in the number of pedestrians who have been struck and killed by vehicles. In an effort to curb the number of pedestrian-related fatalities, Greensborough has installed speed reduction signs at the six city intersections in which the highest numbers of fatalities have occurred in the last year. The Greensborough city government predicts that the number of pedestrian fatalities will significantly decrease once the speed reduction signs have been installed.

Which of the following, if true, most strengthens the validity of the conclusion?

The Malbec grape, originally grown in France, has become the main varietal in Argentina. This is surprising because most Malbec grown in Argentina is grown at high altitudes, whereas the Malbec grape once was grown at low altitudes. Therefore, Argentinian winegrowers should grow the Malbec grape at low elevations.

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

At the atomic scale, all matter exhibits properties commonly associated with both waves and particles. The classic experiment that demonstrates wavelike properties is the double-slit experiment, first performed by Thomas Young at the beginning of the 19th century. If a beam of light passes through two narrow slits and is projected onto a screen behind the slits, a pattern of light and dark fringes can be observed. The explanation for this is based on an analogy with ripples in water. If we drop two stones some distance apart, the ripples start to interfere with each other, sometimes amplifying when two crests or troughs meet, sometimes canceling when a crest meets a trough. A similar explanation holds for interference effects with visible light; the two slits act as independent sources in the same way as do the stones in water. This experiment provided convincing evidence in support of Christiaan Huygens’s wave theory of light, which eventually supplanted the older particle theory of Isaac Newton. However, in the 20th century, Einstein showed that Newton was not entirely wrong. His analysis of the photoelectric effect showed that light could behave as a particle as well as a wave. Surprisingly, electrons, which we tend to think of as particles, also demonstrate interference effects, showing that they too are waves as well as particles.

Based on the passage, what would we expect the light fringes in Young’s experiment to represent?

At the atomic scale, all matter exhibits properties commonly associated with both waves and particles. The classic experiment that demonstrates wavelike properties is the double-slit experiment, first performed by Thomas Young at the beginning of the 19th century. If a beam of light passes through two narrow slits and is projected onto a screen behind the slits, a pattern of light and dark fringes can be observed. The explanation for this is based on an analogy with ripples in water. If we drop two stones some distance apart, the ripples start to interfere with each other, sometimes amplifying when two crests or troughs meet, sometimes canceling when a crest meets a trough. A similar explanation holds for interference effects with visible light; the two slits act as independent sources in the same way as do the stones in water. This experiment provided convincing evidence in support of Christiaan Huygens’s wave theory of light, which eventually supplanted the older particle theory of Isaac Newton. However, in the 20th century, Einstein showed that Newton was not entirely wrong. His analysis of the photoelectric effect showed that light could behave as a particle as well as a wave. Surprisingly, electrons, which we tend to think of as particles, also demonstrate interference effects, showing that they too are waves as well as particles.

1. Which of the following best summarizes the findings of Young’s experiment, as described in the passage? ​