Question 1Solve the equation 6x2-7x-5 = 0A.x=1/3 or 2 1/2B.x=1/3 or 2 1/2C.x=-1/2 or 1 2/3 D.x=1/3 or 2 1/2Objective Show full explanation
Question 2lf logax = p, express x in terms of a and p A.x = a - pB.x = paC.x = apD.x = p - aObjective Show full explanation
Question 3At what point does the straight line y = 2x-1 intersect the curve y = 2x2 + 5x - 1?A.(-2, -3) and (1/2, 2)B.(-1/2, 0) and (2, 5)C.(1/2, 2) and (1, 3)D.(l ,3) and (2,5). Objective Show full explanation
Question 4What value of g will make the expression 4x2 - 18xy + g a perfect square? A.9B.9y2/4C.81y2/16D.81y2/4 Objective Show full explanation
Question 5If sin Ɵ = 1/2 and cos Ɵ = -√3/2 what is the value of Ɵ? A.150°B.30°C.90°D.120' Objective Show full explanation
Question 6what is the probability that 3 customers waiting in a bank will be served in the sequence of their arrival at the bank?A.1/6B.1/3C.1/2D.2/3 Objective Show full explanation
Question 7lf U = {1,2,3,4,5,6} P = {3,4,5}, Q = {2,4,6} and R = {1,2,3,4}, list the elements of {P U Q}' n RA.{1,2,3,4,5,6}B.{1,2,3,4}C.{1}D.{1,2} Objective Show full explanation
Question 8Given log102.5 = 0.3979. evaluate log1025 + 2log10250 A.3.1937B.4.1937C.5.1937D.6.1937 Objective Show full explanation
Question 9Given that log p = 2log x + 3log q which of the following expresses p in term of x and q? A.p = 2r + 3qB.p = x2 - q2 + q3C.p = x2q3D.p = x3 + q2Objective Show full explanation
Question 10Differentiate the function f(x) = cos2x A.-2sin2xB.-2cos2xC.2sinxD.2cosxObjective Show full explanation
Question 11Solve without using tables log5(62.5) - log5(1/2) A.3B.4C.5D.8 Objective Show full explanation
Question 12What is the solution of the equation log42a + log4(a - 1) = 1A.-1 or 2B.-3 or 2C.-2 or 3D.2 or 3 Objective Show full explanation
Question 13Convert the speed 90km per hour of a car to metres per second A.1.5m/sB.2.5m/sC.25m/sD.15m/s Objective Show full explanation
Question 14if the price of a litre of petrol increases from 430.00k to 559.00k. what is the percentage increase in the cost of a litre of petrol? A.9%B.30%C.34%D.39% Objective Show full explanation
Question 15Two numbers are chosen at random from three numbers 1, 2, 3. Find the probability that the sum of the two numbers is not odd. A.2/3B.1/2C.1/3D.1/6 Objective Show full explanation
Question 16The organs that will be most used by giant African rats in finding their way underground habitats are the A.vibrissaeB.NostrilsC.eyesD.tails Objective Show full explanation
Question 17The increasing order of the particle size in the following soil types is A.clay --->sand --->gravelB.silt--->sand--->clay —>gravelC.clay--->silt --> sand ---> gravelD.silt --->clay --->grave Objective Show full explanation
Question 18The causative agent of bird flu is a A.protozoanB.virusC.BacteriumD.fungus Objective Show full explanation
Question 19Which of the following is an example of parasitism? A.fungi growing on a dead tree branchB.a squirrel living in an abandoned nest of a birdC.mistletoe growing on an orange treeD.cattle egrets taking ticks from the body of cattle. Objective Show full explanation
Question 20A crucible of 5gm weighed 10gm after filling with fresh soil. It is then heated in an oven at 100°C for 1 hour. After cooling in a desiccators the weight was 8gm. The percentage of water in the soil is A.480%B.60%C.20%D.40% Objective Show full explanation
Question 21The type of protective adaptation exhibited by the animal zebra is A.disruptive colourationB.flash colourationC.Counters hadingD.warning colouration Objective Show full explanation
Question 22In mammals, the organ directly on top of the kidney is the A.thyroidB.adrenal glandC.pancreasD.prostale Objective Show full explanation
Question 23The photosynthetic pigments include A.chlorophyll and carotenoidsB.chloplasts and cytochromesC.melanin and haemoglobinD.carotenods and haemoglobin Objective Show full explanation
Question 24Monocot stems differ from dicot stems in that monocots have A.no cambiumB.no pithC.fewer vascular bundlesD.phloems with parencyma Objective Show full explanation
Question 25The opening and closing of the stoma are regulated by A.transpirationB.RespirationC.diffusionD.osmosis Objective Show full explanation
Question 26When the base current of a common-emitter transistor is kept at zero, it operates in the A.active-on regionB.breakdown regionC.saturation regionD.cut off region Objective Show full explanation
Question 27One of the properties of gamma ray is that they are A.negatively chargedB.MassiveC.neutralD.positively charged. Objective Show full explanation
Question 28The theory of electronic conduction in solids, which satisfactorily explains the properties of conductors, insulator and semiconductors is A.particle theoryB.band theoryC.group theoryD.string theory Objective Show full explanation
Question 29A certain manufacturer wishes to make an n-type semiconductor. Which materials would he select for dropping? A.Arsenic and antimonyB.Aluminium and indiumC.Boron and antimonyD.Helium and boron Objective Show full explanation
Question 30The battery connection that permits current to flow across a p-n.junction is called A.AmplificationB.RectificationC.Forward biasedD.Reverse biased Objective Show full explanation
Question 31An engine of a car of power 80kw moves on a rough road with a velocity of 32m/s The force required to bring it to rest is A.2.50 × 106NB.2.50 × 103NC.2.56 × 106ND.2.80 × 103NObjective Show full explanation
Question 32The correct unit of energy density is A.kgm-3s-2B.kgm-1s-1C.kgm-3s2D.kgm2s-2Objective Show full explanation
Question 33The main purpose of the transformer in an a.c radio set is to A.Increase power to the radioB.Convert energy from a, to d.cC.Step down the voltageD.Step up the voltage Objective Show full explanation
Question 34When an a.c. voltage is applied to capacitor, no power is consumed because the current A.And voltage are 180° out of phaseB.And voltage are in phaseC.Lags behind the voltage by 90°D.Leads the voltage by 90° Objective Show full explanation
Question 35An object placed 10cm from a concave mirror of focal length 5cm would have its imageA.at infinityB.10cm from the focusC.at the centre of curvatureD.half the radius of curvatureObjective Show full explanation