Question 1Find the value of k if y-1 is a factor of y² + ky - 6 A.-6B.-4C.0D.1Objective Show full explanation
Question 2A binary operation · is defined by x · y = xy. If x · 2 = 12 - x, find the possible values of x.A.3, 4B.3, -4C.-3, 4D.-3, -4Objective Show full explanation
Question 3Evaluate the inequality $${\frac x2 + \frac34 \le \frac{5x}6 - \frac7{12}}$$A.x ≥ 4B.x ≤ 3C.x ≥ -3D.x ≤ -4Objective Show full explanation
Question 4The operation * on the set R of real numbers is defined by x*y = 3x + 2y, find 3 * -1A.9B.-9C.6D.-6Objective Show full explanation
Question 5The 4th term of an A.P is 13 while the 10th term is 31. Find the 24th term.A.89B.75C.73D.69Objective Show full explanation
Question 6Find the equation of a line which passes through the points (1, -1) and (3, 2).A.2x - y - 9 = 0B.2y + 3x - 5 = 0C.2x + y + 9 = 0D.2y - 3x + 5 = 0Objective Show full explanation
Question 7Factorise 2y² - 15xy + 18x²A.(2y - 3x)(y + 6x)B.(2y - 3x)(y - 6x)C.(2y + 3x)(y - 6x)D.(3y + 2x)(y - 6x)Objective Show full explanation
Question 8Find the factors of 2x² + 5x - 3A.(x - 2)(x - 3)B.(2x - 1)(x + 3)C.(x + 3)(x + )D.(x - 2)(2x - 1)Objective Show full explanation
Question 9What is the common ratio of the G.P. (√10 + √5) + (√10 + 2√5) + ...?A.√2B.√5C.3D.5Objective Show full explanation
Question 10Find the value of $$\begin{vmatrix}0 & 3&2 \\ 1 & 7&8\\0&5&4 \end{vmatrix}$$A.-12B.10C.-1D.-2Objective Show full explanation
Question 11how many moles of zinc deposited by passing 3F of electricity through a solution of ZnSO4? {1F=96500C}A.1.5 molesB.2.3 molesC.3.4molesD.0.15molesObjective Show full explanation
Question 12the colours seen in a rainbow are due to ............A.polarizationB.absorptionC.refractionD.interferenceObjective Show full explanation
Question 14the operation of moving car-coil galvanometer is based on ............A.electromagnetic inductionB.magnetic effect of electric currentC.force on a carrying conductor in a magnetic field D.electrochemical effectObjective Show full explanation
Question 16what is hydroxide ion concentration (OH) in a solution of sodium hydroxide of pH 10.0?A.10-B.10-4 C.10-3 D.10-1 Objective Show full explanation
Question 17the reagent that removes CO2 from mixture of CO2 and N2 is A.aqueous potassium hydroxideB.alkaline pyrogallolC.concentrated H2SO4D.calcium oxideObjective Show full explanation
Question 19in operating X-ray tube, a high p.d is applied between the cathode and the anode for the purposeA.heating the cathodeB.producing a stream of electronsC.concentrating electrons on the targetD.accelerating the electrons to a very high energyObjective Show full explanation
Question 20a current of 100mA passes through conductor for 2 minutes. the quantity of electricity transported isA.200B.50cC.12cD.0.02cObjective Show full explanation
Question 21at what frequency would a 10H inductor have a reactance of 2000ΩA.π/200HzB.π/100HzC.100πHz/πHzD.100πHzObjective Show full explanation
Question 22a transformers has primary coil with 500 turns and a secondary coil with 2500 turns. when the voltage input to the primary coil is 120V, the outputA.6000vB.600vC.240vD.60vObjective Show full explanation
Question 23which of the following is not associated with direct current (D.C)A.a dry cellB.a moving coil galvanometerC.a transformerD.a lead acid accumulatorObjective Show full explanation
Question 24a moving coil galvanometer has a full scale deflection of 3A equivalent to 30° deflection. the sensitivity of the instrument is A.0.1°B.10°C.33°D.90°Objective Show full explanation
Question 25a projectile is launched from the ground levels with a velocity of 10ms-1 at an angle of 15° to the horizontal. calculate its rangeA.17.32mB.8.66mC.5mD.2.50mObjective Show full explanation
Question 26what is the best method for obtaining pure solventsA.evaporationB.filtrationC.distillationD.sublimationObjective Show full explanation
Question 27a substance that gives a yellow residue when heated isA.ZnCO3 B.PbCO3C.CuCO3D.Na2SO4Objective Show full explanation
Question 28which of the following substances can be used to identify waterA.Na2SO4B.CuCO3C.Na2CO3D.CuSO4Objective Show full explanation
Question 29the force responsible for holding the moon in orbit around the earth against gravitational pull of the earth isA.centrifugalB.rotationalC.reactionD.centripetalObjective Show full explanation