Universidade Mandume Ya Ndemufayo (UMN) University Entrance Examination — Exames de Acesso

In medical cytology, which cellular organelle contains acid hydrolase enzymes responsible for the intracellular degradation of macromolecules, phagocytosed pathogens, and worn-out cellular organelles (autophagy)?

• ALysosome (Lisossomo)
• BRibosome (Ribossomo)
• CEndoplasmic reticulum (Retículo endoplasmático)
• DCentrosome (Centrossomo)

During the transcription phase of eukaryotic protein synthesis, which enzyme is primarily responsible for synthesizing pre-messenger RNA (pre-mRNA) by reading the DNA template strand in the 3' to 5' direction?

• ADNA Polymerase III (DNA Polimerase III)
• BRNA Polymerase II (RNA Polimerase II)
• CDNA Ligase (DNA Ligase)
• DReverse Transcriptase (Transcriptase reversa)

In trigonometry, what is the exact general solution for the equation cos(2x) = 1/2 in radians?

• Ax = +- pi/3 + 2*k*pi, where k is an integer in Z
• Bx = pi/4 + k*pi, where k is an integer in Z
• Cx = +- pi/6 + k*pi, where k is an integer in Z
• Dx = pi/12 + k*pi, where k is an integer in Z

What is the molar concentration (molarity) of a solution prepared by dissolving 11.7 g of sodium chloride (NaCl, molar mass = 58.5 g/mol) in sufficient distilled water to make a total volume of 500 mL of solution?

• A0.20 mol/L
• B0.80 mol/L
• C0.10 mol/L
• D0.40 mol/L

Calculate the standard enthalpy of combustion (Delta_H_c) of methane gas according to the thermochemical equation: CH4(g) + 2 O2(g) -> CO2(g) + 2 H2O(l). Given standard enthalpies of formation: Delta_H_f(CH4) = -75 kJ/mol, Delta_H_f(CO2) = -394 kJ/mol, and Delta_H_f(H2O_l) = -286 kJ/mol.

• A-891 kJ/mol
• B-966 kJ/mol
• C+891 kJ/mol
• D-605 kJ/mol

In Portuguese syntax, identify the grammatical function of the underlined pronoun in: 'O médico entregou-[lhe] o relatório clínico do paciente.'

• AObjeto direto (Direct object)
• BObjeto indireto (Indirect object)
• CComplemento nominal (Noun complement)
• DAdjunto adnominal (Adnominal adjunct)

Evaluate the limit of the rational function as x approaches infinity: lim (x -> +infinity) (5x^3 - 2x + 7) / (2x^3 + 4x^2 - 1).

• A+infinity
• B0
• C5/2 (2.5)
• D7/-1 (-7)

Find the local extrema of the polynomial function f(x) = x^3 - 6x^2 + 9x + 2.

• ALocal maximum at (3, 2) and local minimum at (1, 6)
• BLocal maximum at (0, 2) and local minimum at (4, -2)
• CLocal minimum at (2, 4) and no local maximum
• DLocal maximum at (1, 6) and local minimum at (3, 2)

A projectile is launched from ground level with an initial velocity of v0 = 50 m/s at an angle of 30 degrees above the horizontal (sin 30 = 0.50, cos 30 = 0.866). Assuming g = 10 m/s^2 and neglecting air resistance, what is the maximum vertical height H_max reached by the projectile?

• A31.25 m
• B62.50 m
• C125.0 m
• D15.62 m

What is the geographic feature 'Fenda da Tundavala' located near Lubango in Huíla Province?

• AA limestone cave system beneath the Humpata plateau
• BA dramatic natural escarpment at the western edge of the Humpata plateau overlooking the…
• CA rift valley containing seasonal wetlands east of Lubango
• DA volcanic caldera in the Serra da Chela

In human neuroanatomy, which part of the central nervous system controls vital autonomic involuntary reflexes such as cardiac rhythm, vasomotor tone, respiration, swallowing, and vomiting?

• ACerebellum (Cerebelo)
• BCorpus callosum (Corpo caloso)
• CMedulla oblongata (Bolbo raquidiano / Bulbo)
• DPrimary motor cortex of the frontal lobe (Córtex motor primário)

In structural mechanics and statics, what is the condition for a rigid body to remain in complete static equilibrium in a two-dimensional plane?

• AThe horizontal and vertical force sums must be zero, but the net torque may be nonzero
• BThe net torque must be zero, but the resultant external force may be nonzero
• CThe resultant force and resultant moment must be constant and equal nonzero values
• DThe vector sum of all external forces must equal zero (Sigma F = 0) AND the sum of all ex…

Solve the exponential equation in real numbers: 3^(2x + 1) - 10 * 3^x + 3 = 0.

• Ax = -1 and x = 1
• Bx = 0 and x = 2
• Cx = 1 and x = 3
• Dx = -1 and x = 0

What is the molar solubility (s) of silver chloride (AgCl) in pure water at 25 degrees C, given its solubility product constant Ksp = 1.0 * 10^-10 (AgCl(s) <=> Ag+(aq) + Cl-(aq))?

• A1.0 * 10^-10 mol/L
• B1.0 * 10^-5 mol/L
• C0.5 * 10^-5 mol/L
• D1.0 * 10^-20 mol/L

A particle with an electric charge q = +2.0 * 10^-6 C moves at a speed v = 5.0 * 10^4 m/s perpendicular (theta = 90 degrees) to a uniform magnetic field of B = 0.40 T. What is the magnitude of the magnetic Lorentz force acting on the particle?

• A0.40 N
• B4.0 N
• C0.040 N (4.0 * 10^-2 N)
• D0.004 N

Which historic accords established a framework for a ceasefire, the creation of unified Angolan Armed Forces (FAA), and the holding of Angola's first multiparty general elections?

• AAcordo do Alvor
• BProtocolo de Lusaka
• CMemorando de Luena
• DAcordos de Bicesse (Bicesse Accords)

In balancing redox equations in acidic aqueous solution, how many electrons (e-) are transferred in the reduction half-reaction of dichromate ion to chromium(III) ion: Cr2O7^2- + 14 H+ + n e- -> 2 Cr^3+ + 7 H2O?

• A6 electrons
• B3 electrons
• C2 electrons
• D14 electrons

In Portuguese grammar, which of the following sentences correctly utilizes the subjunctive mood (modo subjuntivo) to express uncertainty or hypothesis in the past?

• ASe os médicos tinham chegado a tempo, o diagnóstico foi concluído.
• BSe os médicos tivessem chegado a tempo, o diagnóstico teria sido concluído com precisão.
• CCaso os médicos chegaram a tempo, concluirão o diagnóstico.
• DQuando os médicos tinham chegado, realizaram a cirurgia.

What is the product of the complex numbers z1 = 2 + 3i and z2 = 4 - i in standard algebraic form (where i^2 = -1)?

• A8 - 3i
• B5 + 10i
• C11 + 10i
• D11 - 10i

Which pre-colonial central Angolan kingdom, located in the central plateau (Huambo/Bié) and renowned for extensive long-distance caravan trade across Central Africa, was ruled by King Ekuikui II in the late 19th century?

• AReino do Congo
• BReino da Matamba
• CReino de Kasanje
• DReino do Bailundo (Mbalundu)