Question 1Find the value of x for which the function f(x) = 3x² - x - 6 is minimumA.-1/6B.-73/12C.1/6D.73/12Objective Show full explanation
Question 2Find the inverse of the matrix $$\begin{pmatrix}3 & 3 \\ 5 & 6 \end{pmatrix}$$A.({{2, -1},{-5/3, 1}})B.({{2, 1},{-5/3, -1}})C.({{2, 1},{5/3, 1}})D.({{-2, -1},{-5/3, 1}})Objective Show full explanation
Question 3What is the solution of $${\frac{x - 5}{x + 3} \lt -1}$$?A.-3 < x < 1B.x < -3 or 3 > 1C.-3 < x < 5D.x < -3 or x > 5Objective Show full explanation
Question 4Find y, if $$\begin{pmatrix}5 & -6 \\ 2 & -7 \end{pmatrix}\begin{pmatrix}x\\ y \end{pmatrix} =\begin{pmatrix}7\\ -11 \end{pmatrix}$$A.8B.5C.3D.2Objective Show full explanation
Question 5P varies directly as Q and inversely as R. When Q = 36 and R = 16, P = 27. Find the relation between P, Q and R.A.P = Q/12RB.P = 12Q/RC.P = 12QRD.P = 12/QRObjective Show full explanation
Question 6If $$\begin{vmatrix}-x & 12 \\ -1 & 4 \end{vmatrix} =-12$$, find x.A.-6B.-2C.3D.6Objective Show full explanation
Question 7Simplify 4√27 + 5√12 - 3√75A.7B.-7C.-7√3D.7√3Objective Show full explanation
Question 8How many sides has a regular polygon whose interior angles is 135° each?A.12B.10C.9D.8Objective Show full explanation
Question 9y varies directly s w². When y = 8, w = 2, find y when w = 3A.18B.12C.9D.6Objective Show full explanation
Question 10If gt² - k - w = 0, make g the subject of the formula.A.k + w / t²B.k - w / t²C.k + w / tD.k - w / tObjective Show full explanation
Question 11a vibrating diving board has a frequency of 25oHz. what is the angular velocity?A.22πrads-1B.20πrads-1C.30πrads-1D.40πrads-1Objective Show full explanation
Question 12given that the gravitational constant is 7×10-11Nm2Kg-2, what is the force of attraction between 106kg mass of copper hanging one meter away from a 103kg mass or iron?A.7×10-20NB.7×10-8NC.7×10-2ND.7×103NObjective Show full explanation
Question 13the area-under a force distance graph representsA.accelerationB.velocityC.powerD.workObjective Show full explanation
Question 14an object of 50kg is released from height of 2m. find the kinetic energy just before it strikes the groundA.250JB.1000JC.10000JD.100000JObjective Show full explanation
Question 15the correct unit of energy density isA.kgm-3s-2B.kgm-1s-2C.kgm3s-2D.kgm2s-2Objective Show full explanation
Question 16which of the following compounds would not produce oxygen on heatingA.NAClO3B.NaNO3C.NaNO2D.AgNO3Objective Show full explanation
Question 17160cm3 of distilled water is added to 40cm3 of 0.5moldm3 H2SO4 solution. what is the concentration of the diluted solutionA.0.4moldm-3B.0.3moldm-3C.0.2moldm-3D.0.1moldm-3Objective Show full explanation
Question 18which of the following is not a physical propertyA.flammabilityB.solubilityC.melting pointD.viscosityObjective Show full explanation
Question 19which of the following statements is true when equilibrium is attained in reversible reactionA.all the products have been formedB.all the reactants have been used upC.the free energy change is negativeD.the rates of forward and backward reactions are equalObjective Show full explanation
Question 20After reflection from the concave mirror, rays of light from the sun converges A.at the radius of curvatureB.at the focusC.beyond the radius of curvatureD.between the focus and radius of curvatureObjective Show full explanation
Question 21The angle at which a projectile must be fired to cover maximum range isA.30°B.45°C.60°D.90°Objective Show full explanation
Question 22A length of wire has a frequency of 255 Hz when stretched by a force of 225 N. If the force increases to 324 N, what is the new frequency of vibration? A.306 HzB.512 HzC.488 HzD.356 HzObjective Show full explanation
Question 23I. Rays of light travel from a less dense medium to a denser medium. II. The Angle of incidence is greater than ciritical angle. III. Rays of light travel from a denser medium to a less dense medium. Which of the statements above are conditions for total internal reflection to occur? A.I & II onlyB.I & III onlyC.II & III onlyD.II onlyObjective Show full explanation
Question 24The characteristic of a vibration that determines its intensity is the A.frequencyB.overtoneC.wavelengthD.amplitudeObjective Show full explanation
Question 25Which of the following pairs of gases are pollutants from car exhaust?A.Nitrogen(II)oxide and Carbon(IV)oxideB.Carbon(IV)oxide and NitrogenC.Carbon(II)oxide and Sulphur(IV)oxideD.Carbon(II)oxide and oxygenObjective Show full explanation
Question 26For a given solute, the concentration of its saturated solution in different solvents are A.the same at the same temperatureB.different at the same temperatureC.the same at different temperatureD.constantObjective Show full explanation
Question 27The number of oxygen molecules present in 16g of the gas is [Avogadro's number = 6.02 &imes; 1023]A.6.02 × 1022B.6.02 × 1021C.3.01 × 1023D.1.51 × 1023Objective Show full explanation
Question 28Consider the reaction represented by the equation: $${N_2O_{4(g)} \equiv 2NO_{2(g)}}$$; ΔH = +x kJmol-1. What happens when the temperature is reduced at equilibrium?A.Concentration of N2O4(g) decreasesB.Concentration of N2O4(g) increasesC.Pressure exerted by the gases increasesD.Pressure exerted by the gases remains constantObjective Show full explanation
Question 29Which of the following gases will diffuse most rapidly?[H = 1.0; C = 12, O = 16, S = 32, Cl = 35.5]A.Cl2B.SO2C.CH4D.C2H6Objective Show full explanation