All practice questions

Sector $S_1$ belongs to a circle with radius $r$ and has a central angle of measure $\theta^\circ$, where $0 < \theta < 360$. Sector $S_2$ belongs to a circle with radius $2r$ and has a central angle of measure $\left(\frac{\theta}{2}\right)^\circ$. Which of the following statements must be true? Select all such statements.

In his 1875 treatise on plant irritability, botanist Wilhelm Pfeffer investigated the mechanisms underlying pulvinar movement in Mimosa pudica and legume leaves. Contrary to the contemporary hypothesis that leaf droop resulted from passive mechanical exhaustion of cellular walls, Pfeffer demonstrated that rapid movement is driven by active, asymmetric changes in turgor pressure within specialized motor organs called pulvini. Specifically, Pfeffer observed that upon mechanical stimulation, parenchymal cells in the abaxial (lower) half of the pulvinus rapidly lose potassium ions and water to surrounding intercellular spaces, causing a sudden loss of cell turgor and volume. Simultaneously, cells in the adaxial (upper) half retain their turgor or undergo slight turgidity increases, creating a differential mechanical tension that forces the leaf downward. Furthermore, Pfeffer established that recovery of upright leaf posture requires an energy-dependent active transport mechanism to re-accumulate potassium ions back into the abaxial cells against a concentration gradient, a process that is significantly inhibited under hypoxic conditions or in the presence of metabolic toxins like cyanide.

According to the passage, which of the following statements regarding leaf movement in Mimosa pudica are explicitly supported? Select all that apply.

Complete the sentence below by filling in the blank with the word that best matches the positive and welcoming tone established in the context.

For over a century, European paleoecology was dominated by the closed-canopy paradigm, which posited that post-glacial Europe prior to early agriculture was covered by an unbroken, dense primeval forest. Proponents of this view relied primarily on pollen diagrams from peat bogs, which showed high proportions of arboreal pollen relative to herbaceous species. However, ecologist Frans Vera recently challenged this orthodox reconstruction, arguing that heavy grazing and browsing by now-extinct or decimated megaherbivores—such as aurochs, wisents, and wild horses—maintained a dynamic, open mosaic of woodlands, scrub, and pastures. Vera suggested that high arboreal pollen percentages were an artifact of wind-pollinated trees over-representing forest cover compared to insect-pollinated or browsed open-habitat flora. While some palynologists have criticized Vera for underestimating the shade tolerance of climax forest species and over-extrapolating from modern wood-pasture analogues, his work has nonetheless forced a fundamental re-evaluation of primeval ecosystem dynamics, demonstrating that herbivore disturbance was an integral driver of landscape architecture rather than a minor, localized factor.

Which of the following best states the primary purpose of the passage?

A study of high-growth technology startups established over the past decade revealed that every company that achieved a valuation exceeding one billion dollars was co-founded by an executive with prior experience in enterprise software. Based on this finding, a venture capital analyst argued that in order to ensure a newly launched biotechnology startup achieves a billion-dollar valuation, the founding team must simply hire a former enterprise software executive.

Which of the following best describes the flaw in the venture capital analyst's reasoning?

Complete the passage below by identifying the words that best maintain contextual tone and connotative coherence across the text.

A historian studying medieval trade notes that during the mid-fourteenth century, merchants in several Mediterranean port cities rapidly shifted from single-entry accounting to complex double-entry bookkeeping. The historian concludes that this shift was caused primarily by the regional introduction of inexpensive rag-based paper, which made maintaining voluminous ledger books financially viable for average merchant houses. Which of the following statements represent necessary unstated assumptions upon which the historian's argument depends? Select all that apply.

Fill in the blank in the sentence below with the word that best completes the passage based on the structural context clues provided.

Complete the passage by filling in each blank with the word that best preserves the logical support and cause-effect relationships established in the text.

Researchers studying spatial cognition observed that laboratory rats trained to navigate a complex maze exhibited a significant increase in slow-wave neural activity during subsequent sleep compared to control rats that spent an equal duration exploring an open, non-navigational field. Concluding that slow-wave sleep specifically functions to consolidate newly acquired spatial maps rather than serving as general neural recovery from physical exertion, the researchers posited that this elevated slow-wave activity is directly driven by spatial learning.

Which of the following are assumptions upon which the argument depends? Select all that apply.

Complete the passage by filling in each blank with the word that best fits the context based on the elaboration and restatement clues in the sentence.

Complete the sentence below by providing the word that best fits the blank to preserve the contextual tone and connotative valence of the text.

Pair each high-frequency vocabulary word in the left column with its corresponding synonym or near-synonym in the right column.

Passage:
In 1867, Swiss botanist Simon Schwendener proposed the dual hypothesis of lichens, asserting that lichens were not autonomous plants but rather composite organisms consisting of a green alga trapped within a parasitic fungus. Initially met with fierce resistance from traditional lichenologists who viewed the fungal component as a structural tissue of a single plant, Schwendener’s framework gained gradual support as microscopic staining techniques improved. In 1879, German mycologist Heinrich Anton de Bary expanded Schwendener’s concept by coining the term 'symbiosis' to describe the living together of unlike organisms. Crucially, de Bary departed from Schwendener’s strictly antagonistic model of fungal parasitism; instead, de Bary posited a broad spectrum of symbiotic associations, ranging from mutually beneficial mutualism to destructive parasitism. De Bary demonstrated that while certain fungal hyphae absorb nutrients directly from algal cells without causing immediate host death, the algal partner retains photosynthetic capabilities that nourish the fungal matrix.

Which of the following statements regarding nineteenth-century theories of lichen biology is explicitly supported by the passage? Select all that apply.

Consider the following excerpt regarding paleoclimate methodology:

Rather than providing a (i)________ rebuttal to the hypothesis of abrupt climate change during the Younger Dryas, the newly extracted ice core samples offered remarkably (ii)________ evidence; while the isotopic ratios initially appeared to confirm rapid cooling, subsequent trace-gas analyses revealed complex fluctuations that ultimately (iii)________ any definitive conclusion.

Which of the following combinations of terms correctly completes the blanks in the passage?

Dendrochronological analysis of oak panels used by seventeenth-century Dutch master painters demonstrates that all timber imported from the Baltic region between 1620 and 1650 was derived from slow-growing old-growth trees. Oak felled in the Baltic during these three decades consistently exhibits narrow growth rings containing high structural density. Panels crafted from this Baltic oak resist warping significantly better than panels made from domestic Dutch oak. Historical records confirm that Rembrandt van Rijn painted exclusively on wooden panels made from Baltic oak between 1630 and 1645. However, after 1645, trade blockades completely halted Baltic timber shipments to Amsterdam for over ten years.

If the statements above are true, which of the following must also be true on the basis of them?

In her reevaluation of early industrial urban planning, Dr. Aris Thorne challenges the prevailing scholarly consensus that municipal leaders acted out of pure altruism. While acknowledging that newly constructed public parks provided crucial green space for working-class families, Thorne highlights internal memoranda revealing that city officials primarily viewed these spaces as calculated buffer zones to contain urban unrest. Rather than celebrating these civic additions as simple expressions of benevolence, Thorne characterizes the administration's intentions as decidedly pragmatic. Consequently, her analysis portrays the municipal strategy not as a noble crusade for public health, but as a sober exercise in social management.

In the context of the passage, the word 'calculated' as used by Thorne conveys a tone of which of the following?

Even while acknowledging that the early medieval commercial rolls were fraught with missing entries, the economic historian maintained that the surviving tax registers were surprisingly __________, offering a remarkably coherent baseline for regional price inflation.

Which two of the following answer choices, when inserted into the sentence, independently complete the sentence in a way that produces logically equivalent sentences?

Which word best completes the sentence based on the restatement clue provided?

Fill in each blank in the passage below to complete the text in a logically coherent manner.