Question 1Which of the following waves is both mechanical and transverse? A.X-rayB.Water-waveC.Sound waveD.Radiowave Objective Show full explanation
Question 2Land and sea breezes may be explained in terms of differential in A.Salient heat of fusionB.specific latent heat of vaporizationC.Latent heat of vaporizationD.Specific heat capacities Objective Show full explanation
Question 3PQ is a uniform metre rule pivoted at 350cm mark. A mass of 50g is then hung at the 150cm mark such that the rule balances horizontally, calculate the mass of the metre rule. A.55.0gB.66.7gC.75.0gD.77.7g Objective Show full explanation
Question 4Which one of the following colour is most likely to produce a photo-electron with the highest kinetic energy. A.RedB.YellowC.BlueD.Green Objective Show full explanation
Question 5Which of the following radiations arrangement are in their ascending order of frequency? A.gamma-rays, x-rays, radio wavesB.radio waves, visible light, x-raysC.gamma-rays, radio waves, x-raysD.Visible light, x-rays, radio waves Objective Show full explanation
Question 6If a broadcasting station sends outwaves of wave length 400m, on what frequency is the station operating? (Velocity of wave=3.0x108ms-1). A.7.5 × 105HzB.7.5 × 106HzC.1.0 × 106HzD.1.0 × 105HzObjective Show full explanation
Question 7The gravitational force on a mass of 1kg at the earth's surface is 10N. Calculate the gravitational force on a satellite of mass 100kg in a circular orbit of radius 2R from the centre of the earth. [R = radius of the earth] A.250NB.220NC.120ND.110NObjective Show full explanation
Question 8Which of the following experiments confirms the existence of quantized energy levels in an atom? A.Rutherford's experimentB.Frank-Hertz experimentC.Einstein's experimentD.Lenard's experiment Objective Show full explanation
Question 9The balanced lengths unknown emf E and Daniel cell of emf, 1.08v are 80.0cm and 48.0cm respectively circuit on a potentiometer circuit. Calculate the unknown emf E A.1.5vB.1.8vC.2.0vD.2.5v Objective Show full explanation
Question 10The emission of electrons due to the application of heat is known as A.High field emissionB.Cold cathode emissionC.Thermionic emissionD.Secondary emission Objective Show full explanation
Question 11Doping a semi-conductor with an impurity A.Decreases the conductivityB.Increases the resistivityC.Increases the conductivityD.Has no effect Objective Show full explanation
Question 12Which of the following serves as a moderator in a nuclear reactor? A.Cadmium rodsB.Boron rodsC.Aluminium rodsD.Heavy water. Objective Show full explanation
Question 13Which of the following statements is are true of liquids and gases? I. Both are fluids II Their particles are in constant motion III. Both are compressible IV. Boyle's law is applicable to both A.I and II onlyB.II onlyC.I and III onlyD.IV only Objective Show full explanation
Question 14Ethanoic acid is found in A.Sour milkB.Sour palmwineC.LemonsD.Crude oil Objective Show full explanation
Question 15Graphite occurs naturally as A.DolomiteB.LimoniteC.PlumbagoD.Chalcago Objective Show full explanation
Question 16Carbon(II)oxide is poisonous to many animals because A.It combines with the oxygen from the airB.It combines reversibly with haemoglobinC.It combines irreversibly with haemoglobinD.It forms oxalic acid in the lungs Objective Show full explanation
Question 18Plaster of Paris (P.O.P) used for making casts in hospitals is A.CaSO4.2H2OB.CaSO4.H2OC.CaSO4.3H2OD.CaSO4.4H2OObjective Show full explanation
Question 19Which of the following compounds of tin is a strong reducing agent? A.SnCI2B.SnCI4C.SnO2D.SnH4 Objective Show full explanation
Question 20Which of the following will not form complexes with zinc? A.AmmoniaB.Trioxonitrate(V)ionsC.Cyanide ionsD.Halideions Objective Show full explanation
Question 21Methane and paraffin wax are very similar in many ways. The main reason why they differ chemically is that A.One is a gas and one is a solidB.On complete combustion their products differC.One is a Hydro carbon and one is a carbohydrateD.They come from different sources Objective Show full explanation
Question 22A body A moves north wards with a velocity of 5kms-1, and another body B moves in a direction N60°E with a velocity of 4kms-1. Calculate the magnitude of the velocity of A relative to B. A.2.5 kms-1B.3.5 kms-1C.4.6 kms-1D.8.5 kms-1Objective Show full explanation
Question 23A metal sphere falling freely in a long measuring cylinder containing a liquid is under the influence of: A.Conservative forces onlyB.Non-conservative forces onlyC.Both conservative and non-conservative forcesD.Neither a conservative nor non-conservative force Objective Show full explanation
Question 24A body is projected with initial velocity of 60ms-1 through an inclination of 30° to the horizontal, calculate the magnitude of the resultant velocity after 2 seconds [g=10ms-2] A.37ms-1B.10√5 ms-1C.20ms-1D.10√37ms-1Objective Show full explanation
Question 25A binary operation * Is defined on R, the set of real numbers by x * y = √xy for all x, y ΣR. If x * (2* 8) = 6 find x A. 2B.4C.9D.10 Objective Show full explanation
Question 26Find the remainder when the polynomial f(x)= 2x2 - 5x - 5 is divided by 2x+1 A.-7B.-11/2C.-9/2D.-2 Objective Show full explanation
Question 27The common ratio of the exponential sequence (G.P) log x, logx2, log x4, ..... is A.xB.2C.log xD.log 2 Objective Show full explanation
Question 28Solve the equation log2 (x - 1) + log2 (x +2) = 2 A.x= 0 or 1B.x = 1 or 2C.x = 2 or 3D.x = 1/2 or 0 Objective Show full explanation
Question 29Express 2 Cos (60 + θ)° in terms of Cos θ and Sin θ A.Cos θ + √3Sin θB.√3Cos θ - Sin θC.Cos θ - √3Sin θD.√3Cos θ + Sin θObjective Show full explanation
Question 30The minimum point on the curve y = x2 - 6x + 5 is at A.(1,5)B.(-3, -4)C.(3,-4)D.(-3,-4) Objective Show full explanation
Question 31Which of the values of the variables x, (i) x=0, (ii) x = -3 (iii) x=9, Satisfy the inequalities 0 < x + 3 < 2/x-1 A.(i), (ii), (iii)B.(ii),(iii) onlyC.(iii)onlyD.(ii)only Objective Show full explanation
Question 32Three numbers x, y and z are connected by the relationship y = 4x/9 + 1 and z = 4y/9 + 1. If x=99, find z A.61/3B.20C.21D.1764/9 Objective Show full explanation
Question 33Find the missing numerator $$\frac5{x + 1} - \frac3{1 - x} + \frac{7x + 1}{x^2 - 1} = \frac {?}{x + 1}$$A.-1B.x-1C.3(1-5x)D.1 Objective Show full explanation
Question 34Solve for x and y $$\begin{pmatrix}1 & 1 \\3 & 1\end{pmatrix}\begin{pmatrix}x & 1 \end{pmatrix} = \begin{pmatrix}4 & 1 \end{pmatrix}$$A.x = 3, y=8B.x = 8, y =3C.x = 3,y=-8D.x= 8,y= -3 Objective Show full explanation
Question 36Solve the following inequality (x - 3)(x-4) ≤ 0 A.3 ≤ x ≤ 4B.3 < x < 4C.3 ≤ x < 4D.3 < x ≤ 4Objective Show full explanation
Question 37What is the total surface area of a closed cylinder of height 10cm and diameter 7cm? (Take π =22/7) A.77cm2B.227cm2C.297cm2D.274cm2 Objective Show full explanation
Question 38Calculate, correct to one decimal place. the standard deviation of the numbers -1, 5, 0, 2 and 9. A.7.2B.6.6C.3.6D.3.2 Objective Show full explanation
Question 39The probability of an event P is 3/4 while that of another event Q is 1/6, if the probability of both P and Q is 1/12. What is the probability of either P or Q? A.1/96B.1/8C.5/6D.11/12 Objective Show full explanation
Question 40How many moles of oxygen are produced when 20 moles of water is decomposed? A.5B.10C.15D.20 Objective Show full explanation