Free GRE Practice Test

Given that x > 1 and y > 1 such that x² + y² = 25 and xy = 12. Quantity A: (x + y)² Quantity B: 49 Which of the following statements is true?

A graduate school cohort consists of 120 students across three disciplines: 50 in Engineering, 40 in Life Sciences, and 30 in Humanities. On a standardized qualifying exam: • The Engineering students achieved an average (arithmetic mean) score of 84. • The Life Sciences students achieved an average score of 78. • The Humanities students achieved an average score of 90. What was the overall average score for the entire 120-student cohort?

In the xy-coordinate plane, a triangle has vertices at P(0, 0), Q(8, 0), and R(2, 6). A line segment is drawn parallel to the x-axis from point S(1, 3) on segment PR to point T on segment QR, dividing triangle PQR into an upper smaller triangle STR and a lower trapezoid PQTS. What is the area of trapezoid PQTS?

Select the entry for each blank from the corresponding column of choices. Fill all blanks in the way that best completes the text. Although the initial findings of the archaeological expedition were widely celebrated as a groundbreaking revelation, subsequent carbon dating and rigorous stratigraphical scrutiny revealed the artifacts to be remarkably [Blank 1], leading historians to lament that the original excavators had been blinded by their own [Blank 2] expectations.

Select the two answer choices that, when used to complete the sentence, fit the meaning of the sentence as a whole and produce completed sentences that are alike in meaning. The CEO was known for her ________ leadership style; far from consulting her executive team on strategic initiatives, she issued unilateral directives and expected immediate, unquestioning compliance.

Read the passage and answer the question that follows: "For decades, paleoclimatologists posited that the Younger Dryas—an abrupt period of severe cooling approximately 12,900 years ago—was triggered exclusively by a massive breach of North American glacial lakes, which flooded the North Atlantic with low-density freshwater and disrupted the Atlantic Meridional Overturning Circulation (AMOC). However, recent high-resolution ocean sediment cores from the subpolar gyre reveal that significant AMOC weakening preceded the freshwater outburst by several centuries. This chronological discrepancy suggests that while meltwater discharge undoubtedly exacerbated and prolonged the cooling episode, it cannot be considered the singular catalyst that initiated the climatic shift." According to the passage, the author mentions the "chronological discrepancy" primarily in order to:

Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Quantity A: 15% of 80 Quantity B: 80% of 15

Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Quantity A: The number of positive divisors of 48 Quantity B: 9

Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. x^2 = 16 Quantity A: x Quantity B: 4

A retailer marks an item up 40 percent above its cost and later sells it at a 25 percent discount off the marked price. The selling price is what percent above the retailer's cost?

Pipe A can fill an empty tank in 6 hours, and Pipe B can fill the same tank in 12 hours. If both pipes operate together at their constant rates, how many hours will it take to fill the empty tank?

The average (arithmetic mean) of five numbers is 12. When one of the numbers is removed, the average of the remaining four numbers is 10. What is the number that was removed?

A circle has a radius of 6. What is the area of a sector of this circle whose central angle measures 60 degrees?

If 3x - 7 = 2(x + 4), what is the value of x?

A company's annual revenue, in millions of dollars, was as follows: 2021: 40; 2022: 52; 2023: 65; 2024: 78. The revenue in 2024 was what percent greater than the revenue in 2021?

A bag contains 4 red marbles and 6 blue marbles. If two marbles are drawn at random without replacement, what is the probability that both are red?

Select the entry that best completes the text. The politician's speech was so ________ that even her staunchest supporters struggled to recall a single concrete proposal it contained.

Select the entry that best completes the text. Although critics dismissed the novel as derivative on its release, its enduring popularity suggests that their verdict was ________.

Select one entry for each blank from the corresponding column of choices. Fill all blanks in the way that best completes the text. The scientist's (i)________ manner made her an unlikely choice for a public role, yet her (ii)________ explanations of complex topics won over every audience she addressed.

Select the two answer choices that, when used to complete the sentence, fit the meaning of the sentence as a whole and produce completed sentences that are alike in meaning. Unlike her ________ brother, who rarely spoke at family gatherings, Maria was happy to hold forth on any topic.

Select the two answer choices that, when used to complete the sentence, fit the meaning of the sentence as a whole and produce completed sentences that are alike in meaning. The new regulations were intended to ________ the spread of misinformation, yet critics argued they would ultimately have the opposite effect.

Read the passage and answer the question that follows. Historians of science have long credited the printing press with accelerating the Scientific Revolution by allowing identical copies of texts to circulate widely. Yet this account overlooks a subtler effect: standardized diagrams. Before printing, hand-copied illustrations of anatomy or astronomy degraded with each transcription, so that scholars in different cities often debated images that had drifted apart. Printed plates, by contrast, gave distant researchers a shared visual reference, allowing disagreements to be traced to evidence rather than to scribal error. The primary purpose of the passage is to

Read the passage and answer the question that follows. Cities are typically several degrees warmer than the surrounding countryside, a phenomenon attributed chiefly to dark surfaces such as asphalt and rooftops that absorb sunlight. Recent measurements, however, suggest that a shortage of vegetation may matter as much as surface color. Plants cool the air by releasing water vapor, and in several cities, neighborhoods with extensive tree cover were measurably cooler than nearby areas with equally reflective but treeless roofs. Which of the following is most strongly supported by the passage?

A city built a network of protected bike lanes. Over the following two years, the share of commuters traveling by bicycle doubled. City officials concluded that the new lanes caused the increase. Which of the following, if true, most seriously weakens the officials' conclusion?

In a pilot program at one regional office, new claims-processing software reduced the average time to process a claim from 10 days to 6 days. An executive concluded that deploying the software at all of the company's offices will reduce average processing time by about 40 percent company-wide. Which of the following is an assumption on which the executive's conclusion depends?