In formal expository and academic prose, what is the primary communicative function of a thesis statement placed in the introductory paragraph?
Lingua Portuguesa Verbal Reasoning
Question · Easy
Consider the sentence: 'Embora as condições climáticas fossem adversas, os agricultores concluíram a colheita com êxito.' Which semantic relationship is established by the subordinate conjunction 'Embora'?
Which of the following Portuguese words was formed through composition by agglutination (composição por aglutinação), in which the fusion of the elements caused phonological loss in at least one of them?
According to the normative grammar of Portuguese verbal agreement (concordância verbal), which sentence correctly handles a partitive subject followed by a plural specification?
Question · Medium
In standard Portuguese, the verb 'assistir' in the sense of 'to witness' or 'to watch' exhibits which syntactic transitivity and prepositional regency?
Which of the following sentences exhibits the correct application of pronominal proclisis (próclise) triggered by a grammatical attractor?
Identify the figure of speech (figura de estilo) present in the classic literary line: 'Amor é fogo que arde sem se ver; é ferida que dói e não se sente' (Luís de Camões).
In the complex sentence 'O diretor da faculdade confirmou que as pautas finais serão publicadas amanhã', what syntactic role does the subordinate clause perform relative to the main clause?
Question · Hard
Select the option that correctly distinguishes the paronymous pair 'eminente' and 'iminente' in Portuguese.
Which of the following represents an instance of cataphoric reference (referência catafórica) in textual cohesion?
In the synthetic passive voice construction (voz passiva sintética) with the particle 'se', which sentence is grammatically correct according to standard concord rules?
In which of the following sentences does the word 'que' function strictly as a relative pronoun (pronome relativo)?
According to the rules of Portuguese graphic accentuation (acentuação gráfica), why do the words 'saúde', 'país', and 'ruído' receive acute accents?
Read the statement: 'O reitor lamentou que os recursos laboratoriais ainda sejam insuficientes.' What presupposition (pressuposição) is logically embedded in this utterance?
According to the normative regency of the verb 'preferir' in Portuguese, which construction is standard and correct?
Which verb form correctly completes the conditional hypothetical sentence: 'Se o governo universitário _____ mais vagas, muitos candidatos qualificados _____ admitidos.'
Examine the coordinate sentence: 'O trânsito em Luanda estava caótico; contudo, chegámos a tempo para a prova.' What type of syndetic coordination is marked by the connector 'contudo'?
Which of the following phrases employs the word 'ouro' in a strictly connotative (figurative) sense?
Which of the following sentences contains an authentic example of a euphemism (eufemismo)?
According to the rules of nominal agreement (concordância nominal), which sentence is fully correct when an adjective qualifies multiple nouns of different genders?
In the sentence 'A construção do novo campus universitário exigiu vultosos investimentos públicos', what syntactic function does 'do novo campus universitário' perform?
Under what syntactic condition is the use of mesoclisis (mesóclise) strictly required in standard written Portuguese?
In the analysis of argumentative text structure, what is the role of a rebuttal (refutação)?
Which cohesive discourse marker correctly expresses a relationship of logical conclusion in formal Portuguese?
What is the primary stylistic and pragmatic benefit of nominalization (nominalização) in scientific and academic discourse?
Given the quadratic function f(x) = -2x² + 8x - 3, what are the coordinates of its vertex V(x_v, y_v) and the nature of this extremum?
Matematica Quantitative Reasoning
In an arithmetic progression (AP), the 3rd term is 11 and the 7th term is 27. What is the sum of the first 20 terms of this progression?
What is the exact sum of the infinite convergent geometric series: S = 12 + 4 + 4/3 + 4/9 + ... ?
If log_2(x) + log_2(x - 6) = 4, what is the real solution for x?
Solve for x in the exponential equation: 9^x - 4 · 3^x + 3 = 0.
Given that sin(θ) = 3/5 and θ is in the second quadrant (π/2 < θ < π), what is the exact value of cos(2θ)?
What is the complete set of solutions for the trigonometric equation 2 cos²(x) - 3 cos(x) + 1 = 0 in the interval [0, 2π)?
Calculate the limit: lim (x -> 3) [ (x² - 9) / (√(x + 1) - 2) ].
What is the equation of the tangent line to the curve f(x) = 2x³ - 5x + 4 at the point where x = 1?
For the function f(x) = x³ - 6x² + 9x + 2, determine the x-coordinate of the inflection point (ponto de inflexão) and the concavity behavior.
A committee of 4 members is to be chosen from a group of 6 professors and 4 students. If the committee must contain exactly 2 professors and 2 students, how many distinct committees can be formed?
An urn contains 5 red balls, 4 blue balls, and 3 green balls. Two balls are drawn successively without replacement. What is the probability that both drawn balls are blue?
In a right-angled triangle ABC with hypotenuse BC = 10 cm and leg AB = 6 cm, what is the length of the altitude (altura relativa à hipotenusa) drawn from vertex A to hypotenuse BC?
A solid right circular cylinder has a base radius of 3 cm and a height of 8 cm. What is its total surface area in terms of π?
What is the equation of the straight line passing through the point P(2, -3) that is perpendicular to the line r: 2x - 4y + 5 = 0?
Find the center C(h, k) and radius R of the circle whose equation is x² + y² - 4x + 6y - 12 = 0.
According to the Polynomial Remainder Theorem (Teorema do Resto / D'Alembert), what is the remainder when P(x) = 2x³ - 3x² + 4x - 5 is divided by (x - 2)?
For the complex number z = 1 + i√3, what is its trigonometric (polar) form z = r(cos θ + i sin θ) and its value raised to the 6th power (z⁶)?
What is the determinant of the 3x3 matrix M = [[1, 2, 1], [0, 3, 2], [1, 1, 2]]?
Solve the linear system of equations: { x + y + z = 6 ; 2x - y + z = 3 ; x + 2y - z = 2 }. What is the value of the ordered triple (x, y, z)?
What is the coefficient of x⁴ in the binomial expansion of (x + 2)⁶ according to Newton's Binomial Theorem?
According to Viète's formulas (Relações de Girard), what are the sum (S) and product (P) of the roots of the cubic polynomial P(x) = 2x³ - 6x² + 8x - 10 = 0?
What is the maximal real domain (domínio real) of the function f(x) = √((x - 2) / (5 - x))?
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