Question 1Solve the given equation (Log3x)2 - 6Log3x + 9 = 0A.27B.9C.1/27D.81 Objective Show full explanation
Question 2After getting a rise of 15%, man's new monthly salary is #34500. How much pet month did he earns before the increase? A.#36,000B.#29,323C.#30,000D.#39,675 Objective Show full explanation
Question 3The set of value of x and y which satisfies the equations x2 - y - 1 = 0 and y - 2x + 2 = 0 isA.1,0B.1,1C.0,2D.1,2 Objective Show full explanation
Question 5In a regular polygon of n sides, each interior angle is 144°. Find n A.12B.11C.10D.8 Objective Show full explanation
Question 6Given a regular hexagon calculate each Interior angle of the hexagon A.120°B.135°C.60°D.45° Objective Show full explanation
Question 7The lengths of the sides of a right angled triangle are (3x+1)cm, (3x-1)cm and x cm. find x A.2B.6C.12D.18 Objective Show full explanation
Question 8P varies directly as the square of q and Inversely as r lf p = 36, when q = 3 and n = 4. find p when q = 5 arid r = 2 A.125B.200C.100D.90 Objective Show full explanation
Question 9If (x-2) and (x+1) are factors of the expression x3 + px2 + qx + 1, what Is the sum of q? A.2/3B.3C.-3D.0 Objective Show full explanation
Question 10Without using tables, evaluate log42 + log24 - log525A.1/2 B.4 1⁄2C.2D.5Objective Show full explanation
Question 11If the quadratic function 3x2 - 7x + R is a perfect square, find R A.49/24B.49/3C.49/5D.49/12 Objective Show full explanation
Question 12The ratio of the length of two similar rectangular blocks is 2:3, if the volume of the larger block is 351cm3 then the volume of the other block is A.104cm3B.106cm3C.234cm3D.526.5cm3Objective Show full explanation
Question 13Find the area of a regular hexagon inscribed in a circle of radius 8cm A.16√3cm2B.16cm2C.33cm2D.96√3cm2Objective Show full explanation
Question 14Two points A and B both on latitude 60°; S have longitudes 147° and 153°; respectively. Find to the nearest kilometre the distance between A and B measured along the parallel of latitude (take 2πR = 4x104km) where R is the radius of the earth A.28,850kmB.16,667kmC.8,333kmD.6,667km Objective Show full explanation
Question 15Divide the L.C.M. of 48, 64 and 80 by their H.C.F A.60B.48C.30D.20 Objective Show full explanation
Question 16Sodium chloride may be obtained from brine by: A.DecantationB.TitrationC.EvaporationD.Sublimation Objective Show full explanation
Question 17Calculate the percentage mass of magnesium in magnesium phosphate (Mg2P2O7) given the relative atomic mass Mg=24,P=31,O= 16 A.21.6%B.31.7%C.56.5%D.20% Objective Show full explanation
Question 18An organic acid contains by mass 40℅ carbon, 6.67% hydrogen and 53.33% of oxygen. Calculate its empirical formula: A.C2H2O2B.CH2OC.C2H2OD.C4H2OObjective Show full explanation
Question 19The number of protons in the nucleus of an atom is the: A.Atomic number of an elementB.Mass number of an elementC.Molecular mass of an elementD.Empirical formula of an element Objective Show full explanation
Question 20The following scientists contributed to the determination of the structure of the atom except A.J.J. ThomsonB.R.A. MilikanC.ChadwickD.Boyle's Objective Show full explanation
Question 21The motion of a body is simple harmonic if the A.Acceleration is always directed towards a fixed point B.Path of motion is a straight line C.Acceleration is directed towards a fixed point and proportional to its distance from the pointD.Acceleration is proportional to the Square of the distance from a fixed point Objective Show full explanation
Question 22Which of the following is a reason why a Concrete floor feels colder to the bare feet than a mat on the same floor during the raining season? A.mat is a better conductor of heat than the feetB.mat loses heat to the bare feat at a fast,r rate than concrete floorC.mat loses heat to the bare feet while the concrete floor extracts heat from themD.concrete floor is a better conductor of heat than the mat Objective Show full explanation
Question 23Which of the following is NOT a vector quantity? A.MomentumB.ForceC.VelocityD.Temperature Objective Show full explanation
Question 24The motion of the prongs of a sounding turning fork is A.RandomB.RotationalC.TranslationalD.VibratoryObjective Show full explanation
Question 25All the heat generated by a current of 2A passing through a 6Ω resistor for 25 seconds is used to evaporate 5g of liquids at its boiling point. What is the specific latent heat of the liquid? A.60J/gB.120J/gC.300J/gD.360J/g Objective Show full explanation
Question 26One of the functions of turgor pressure to the plant is that of support. This support by turgor is especially important in A.The root of a young seedlingB.The stem of a submerged water plantC.The stem of a young seedlingD.The stem of a tree in the wet season when water is easily available Objective Show full explanation
Question 27Which of the following can be used to compare the rates of transpiration between the upper and lower surfaces of leaves? A.Cobalt chlorideB.Lime waterC.Calcium chloride solutionD.Soda lime Objective Show full explanation
Question 28What is transpiration? A.The loss of water vapour from the leaves of a plantB.The plant's form of respirationC.The rise of water up the stem of a plantD.None of the above Objective Show full explanation
Question 29When is a plant said to be turgid? A.It is plasmolysedB.Its vacuole is filled with isolation thus pushing the cytoplasm against the cell wallC.It is able to increase in size by the entering of more waterD.All of the above Objective Show full explanation
Question 30The production of starch and not glucose is often used as a measure of photosynthesis in leaves becauseA.Starch is more easily detected than glucose in the leavesB.Glucose is always from in photosynthesisC.Starch is always formed in photosynthesisD.Glucose is never formed in photosynthesisObjective Show full explanation