Question 1Which of the following is the best known semi-conductor? A.carbonB.SeleniumC.Gallium arsenideD.Germanium Objective Show full explanation
Question 2The process of adding impurities to semiconductor is called A.TransmutationB.DopingC.PolarizationD.Hydrolysis Objective Show full explanation
Question 3In the electric motor, which of the following does not apply? A.SpindleB.Fixed carbon brushesC.Powerful magnetic fieldD.Slip rings Objective Show full explanation
Question 4In the A.C. generator, which of the following does not apply? A.Fixed carbon brushesB.SpindleC.Split ringsD.Powerful magnetic field Objective Show full explanation
Question 5Which of the following law is an application of the law of conservation of energy? A.Maxwell's lawB.Lenz's lawC.Faraday's lawD.Fleming's left hand rule Objective Show full explanation
Question 6The induction coil is a device for generating a A.High voltage from low A.C. sourceB.low voltage from high D.C. sourceC.High voltage from a low D.C. sourceD.low voltage from a low A.C. source Objective Show full explanation
Question 7Which of the following pairs of quantities have equivalent units? A.work done and momentsB.Energy and momentumC.strain and Young's modulusD.energy and pressure Objective Show full explanation
Question 9A body starts from rest and moves with an acceleration of 8m/s2 for 10 second, Find the distance during the 8th second A.256mB.196mC.120mD.60m Objective Show full explanation
Question 10One of the limitations of Bohr's model of the atom is that it does not explain A.The stability of the atomB.Variation of the atomic radiusC.The line spectra of hydrogenD.The experiment determination of the atomic radius Objective Show full explanation
Question 11X-rays were discovered by A.Isaac NewtonB.MiehaelFaradayC.Sir J. J. ThompsonD.W. Roentgen Objective Show full explanation
Question 12Natural radio activity was discovered by A.Niel BohrB.Henri BecquerelC.De BroglieD.Rutherford Objective Show full explanation
Question 13The number of atoms of a radioactive substance is initially 8.0 x 1016. If the number reduces to 2.0 x 1016 in 64 minutes. What is the half-life of the substance? A.32minB.16minC.8minD.4min Objective Show full explanation
Question 14During the electrolysis of copper (II) sulphate solution, an ammeter showed a steady current reading of 1.0A for 1/2 hr and 6.6 x 104 kg of copper were liberated. Calculate the % error in ammeter reading, A.12%B.11%C.1.2%D.1.1% Objective Show full explanation
Question 15n electric lamp has the following markings 230V, 250W, How long would it take the lamp to use one kilo watt-hour when connected to a 230V mains? A.8.0hrB.6.0hrC.4.0hrD.2.0hr Objective Show full explanation
Question 16Which of the following statements is correct about a semi-conductor at room temperature A.The valence band is filled and the conduction band is partly filledB.The valence band is completely filled and the conduction band is completely emptyC.The valence band is almost filled and the conduction band is almost emptyD.The valence band is empty and the conduction band is filled Objective Show full explanation
Question 17Which of the following statements is not correct? A.When ebonite rod is rubbed with wool the ebonite rod acquires a negative charge and wool acquires a positive chargeB.When a glass rod is rubbed with silk the glass rod acquires a positive charge while silk acquires a negative chargeC.When fur is rubbed with ebonite rod the ebonite rod acquires a positive charge and fur a negative chargeD.When wool rubbed with an ebonite rod is brought near silk rubbed with a glass rod attraction occurs. Objective Show full explanation
Question 18With the Daniel cell the depolarizer is A.Tetra-oxo-sulphate(IV)acidB.Ammonium chloride solutionC.Copper sulphate solutionD.Manganese (IV) Oxide Objective Show full explanation
Question 19Which of the following arrangements gives the electromagnetic radiation in their ascending order of wavelength? A.Radiowaves, ultravioletrays, x-rays, gamma-raysB.gamma-rays, x-rays, ultra violent rays, radio wavesC.x-rays, gamma-rays, radiowaves, ultraviolent RaysD.ultraviolent rays,y-rays. x-rays, radiowaves Objective Show full explanation
Question 20Which of the following statements is not correct about the astronomical telescope under normal adjustment A.The final image is at infinityB.The principal foci of the objective and eyepiece coincideC.The final image is at principal focus of the eyepieceD.The distance between the lenses is equal to the sum of their focal lengths Objective Show full explanation
Question 21Which of the following colours gives the least separation when white light is dispersed by a triangular glass prism? A.Red and blueB.Yellow and greenC.Orange and indigoD.Green and violet Objective Show full explanation
Question 22An object weighs 100N on the earth's surface. Find its weight at a point P with orbital radius 2R. [g=10NKe]. A.40.0NB.35.0NC.25.0ND.20.0N Objective Show full explanation
Question 23A gas occupies a volume of 40cm3 at a temperature of 27°C, and a pressure of 80cm Hg. What volume does it occupy at 87°C and pressure of 120cm Hg? A.3200cm3B.320cm3C.32cm3D.3.2cm3Objective Show full explanation
Question 24A block and tackle system is used to lift a load of 20N through a vertical height of 10.5m. If the efficiency of the system is 40%, how much work is done against friction A.310.0JB.300.0JC.290.0JD.200.0J Objective Show full explanation
Question 25Which of the following statements is correct about a short-sighted girl who does not put on glasses? A.She cannot see near objects clearlyB.Rays of light from a distant object arc focused behind her retinaC.Her eyeball is too shortD.Parallel rays of light are focused in front of her retina Objective Show full explanation
Question 26Express 0.0000407 in standard form A.40.7 x 10-6B.4:07x10-5C.4.07x 10-4D.4.07x10-2Objective Show full explanation
Question 27The sum of three numbers in base two is 11101. If the first two numbers are 1011 and 1101 find the third number A.11B.101C.1011D.1111 Objective Show full explanation
Question 28A businessman decided to give 10% discount on all the purchases from his store. How much would a customer pay for a shirt originally marked N540? A.N594.00B.N550.00C.N530.0D. N486.00 Objective Show full explanation
Question 30Simplify Log327 + 2Log39 - Log354A.2 + Log32B.1 - Log3C.2 + -Log32D.4 - Log32Objective Show full explanation
Question 31Express y in terms of x if $$\frac12 log_2 (y +3)=2x$$A.y = 24x - 3B.y = 22x - 3C.y = 24x - 9D.y = 24x + 9Objective Show full explanation
Question 32Without using tables, simplify log93 + log9243 + 2log93A.3B.2C.4D.0 Objective Show full explanation
Question 33Given that p(x) = $$2x^2 + 5x^2 - 9x - 18$$, find the value of p(1) A.1B.5C.-20D.-5 Objective Show full explanation
Question 34Given that Q (X) = [INSERT EQUATION] and Q(1) =6 and Q(-1) =2, determine the value of a and b A.a = 5, b = 3B.a = 3, b = 2C.a = -3, b = -2D.a = -5, b = -3Objective Show full explanation
Question 35P varies directly with R and inversely with the square of Q. P =12 when R=18 and Q=2. Find the constant, K of the variation A.4/3B.8/3C.3/4D.3/8 Objective Show full explanation
Question 36When repaying a loan the number of monthly payment, m. Varies inversely with the amount of each payment N A if the loan can be repaid by 10 monthly payment of N1,350. Find how long it takes to repay the loan with monthly payment of N750 A.100B.90C.10 D.9 Objective Show full explanation
Question 37If(x+3) varies directly as y and x = 3 when y= 12 what is the value of x when y=8? A.1B.AC.-1/2D.-1 Objective Show full explanation
Question 38Find the sum of the first twenty linear sequence 5,9,13, 17... A.1000B.960C.0880D.860 Objective Show full explanation
Question 39The third term of a geometric progression (G.P) is 63 and the fifth term is 567 find the sum of the first six terms of the progression. A.2548B.2448C.2348D.2248 Objective Show full explanation
Question 40Solve the in equality $$\frac m3 + \frac14 > \frac{3m}8$$A.m>-6B.m>6C.m<+16D.m<-6 Objective Show full explanation
Question 41Evaluate the following determinant $$\frac m3 + \frac14 > \frac{3m}8$$A.8B.7C.6D.5 Objective Show full explanation
Question 42In the diagram AB, CD and EF are parallel lines find the value of n A.10°B.40°C.50°D.60° Objective Show full explanation
Question 43Point P,Q and R are located in the sale horizontal plane such that Q is 12 km north of P and R is on a bearing of 270 from P. If [PR]= 6km, calculate with respect to one decimal place [QR] [INSERT DIAGRAM] A.18kmB.13.4kmC.13kmD.10.4km Objective Show full explanation
Question 44 In the diagram above, find the Value of x A.85B.75C.65D.40 Objective Show full explanation
Question 45The Angle of depression of a boat at so from the top of a cliff is 82°. What is the angle of elevation of the top of the cliff from the boat? A.98°B.90°C.88°D.82° Objective Show full explanation
Question 46Given that Sin θ = 5/13, find the value of 2 - Sec2θ/1 + CotθA.1B.144/35C.35/144 D.7/144Objective Show full explanation
Question 47The interior angle of a regular polygon is thrice the exterior angle. How many sides has the polygon. A.9B.8C.7D.6 Objective Show full explanation
Question 48Differentiate with respect to x the function y= (2x+4) (3x-1) A.3x+10B.12xC.12x+5D.12x+10 Objective Show full explanation
Question 50Differentiate with respect to x, y= sin (2x-4) A.4cos(2x -4)B.3cos(2x - 4)C.2cos (2x -4)D.2cos(2x +4) Objective Show full explanation