Question 1Find the value of a if the line 2y- ax + 4 = 0 is perpendicular to the line y + 1/4 - 7 = 0 A.-4B.4C.8D.-8 Objective Show full explanation
Question 2find the tangent of the acute, angle between the lines 2x+y=3 and 3x-2y=5 A.-7/4B.7/8C.7/4D.7/2 Objective Show full explanation
Question 3Find the value of P if the line joining (P,4) and(6,-2) is perpendicular to the line joining (2,P) and (-1,3) A.4B.6C.3D.0 Objective Show full explanation
Question 4Find the equation of a line perpendicular to the line 3x+2y+4=0 and passing through the points (5,6) A.3x+2y-27=0B.2x+3y+8=0C.2x-3y+8=0D.3x+2y=-8 Objective Show full explanation
Question 5Two perpendicular lines PQ and QR intercept at (1,-1). If the equation of PQ is x-2y+4=0, find the equation of QR A.x-2y+1=0B.2y+x-3=0C.x-2y-3=0D.2x+y- 1=0 Objective Show full explanation
Question 6Differentiate (2x+5)2 (x-4) with respect to x A.4(25+5)(x-4)B.4(2x+5)(4x-3)C.(2x+5)(2x-13)D.(2x+5)(6x-11) Objective Show full explanation
Question 7Find the slope of the curve y = 2x2 + 5x - 3 at (1, 4) A.9B.7C.6 D.4 Objective Show full explanation
Question 8Find the probability that a number selected random from 20 to 30 is a prime number or a multiple of 3 A.6/11B.4/11C.2/11D.8/11 Objective Show full explanation
Question 9Three numbers a. b and c are in the ratio 3:2:5. The value of [INSERT EQUATION] is A.1/2B.2 1/3C.3/7D.1 Objective Show full explanation
Question 10If 45% of the Nigeria naira (N) is equal to 35% of a foreign currency $, the conversion rate of $ to N is $1= ? A.N7/9B.N12/7C.N22/9D.N26/7Objective Show full explanation
Question 11P is directly proportional to M and inversely proportional to N. If P=9 when M=24 and N=8, find the value of P when M=5 and N=6 A.11/4B.21/2C.33/5D.11Objective Show full explanation
Question 12For what range of values of y is y -1 >4(y+2)? A.y < -3B.y>-3C.2D.-3Objective Show full explanation
Question 13The exterior angles of a quadrilateral are give as x, 2x+5, x+15 and 3x-10. The value of x is A.50°B.52.86°C.60°D.61.43° Objective Show full explanation
Question 14If 4 sin2θ - 3 = 0 the value of 0 for θ, for 0° < θ < 90° is A.30°B.45°C.60° D.90° Objective Show full explanation
Question 15If U = {integers ≤ 20}, X= multiples of 4}, Y= {multiples of 3}, the elements of X' n Y are A.{1, 2}B.{3,6,9,12,15,18}C.{3,6,9,15,18}D.{4,8,16,20} Objective Show full explanation
Question 17A mango fruit drops from a branch 10m above the ground. Just before hitting the ground its velocity is? (g= 10m/s2) A.100m/sB.5√2 m/sC.10√2 m/sD.20√2 m/sObjective Show full explanation
Question 18What volume of substance 'y' with a density of 8.4 x 10^2 kgm-3 will have the same mass as 4.2m-3 of substance 'x' whose density is 7.2 x 10^2 kgm^-3 ? A.1.4m3B.3.6m3C.4.9m3D.5.8m3 Objective Show full explanation
Question 19A pressure cooker saves both time and fuel in cooking because inside the cooker the ........ A.boiling point of water is raisedB.the temperature is evenly nmC.pressure is constantD.volume of steam varies Objective Show full explanation
Question 20Which of the following phenomenon CANNOT be explained by the molecular theory of matter A.expansionB.radiationC.conductionD.evaporation Objective Show full explanation
Question 21A light wave of frequency 5x1014 Hz moves through water which has a refractive index of 4/3. Calculate the wave length in water if the velocity of light in air is 3 x 108m/s. A.4.5 × 10-7mB.6.0 × 10-7mC.1.7 × 106mD.2.2 × 106mObjective Show full explanation
Question 22An isolated conducting sphere whose radius is 6.85cm has a charge 1.250C. How much potential energy is stored in the electric field of the charged conductor?A.100 µJB.101 µJC.103 µJD.104 µJ Objective Show full explanation
Question 23Choose the correct statement(s) A.resistance is a property of an objectB.resistivity is the property of a materialC.resistance is a property of a materialD.resistivity is the property of an object Objective Show full explanation
Question 24A common flash-light bulb is rated 0.30 A and 2.9 V. If the resistance of the tungsten bulb filament at temperature 20°C is 1.1Ω, find the temperature of the filament when the bulb is on A.1.1 × 107°CB.1.8 × 103°CC.1.5 × 105°CD.1.7 × 102°CObjective Show full explanation
Question 25Thermal energy is produced in a resistor at a rate of 100W when the current is 3.00A. Find the resistance A.11.0ΩB.11.1ohm;C.11.5ohm;D.11.3ohm; Objective Show full explanation
Question 26A straight horizontal length of copper wire has a current of 28 A through it. Find the magnitude of the minimum magnetic field needed to suspend the wire. The linear density of the wire is 46.6g/m A.1.6 × 10-2TB.1.5 × 10-2TC.1.4 × 10-2TD.1.3 × 10-2TObjective Show full explanation
Question 27A series RLC circuit has independence 12mH, capacitance 6&miu; F and resistance 1.5Ω. Find the time when the amplitude of the charge oscillating will be 50% of initial value A.11 msB.10msC.8msD.9ms Objective Show full explanation
Question 28Which of the following pairs illustrate isotopy?A.oxygen and ozoneB.But-I -ene and But-2-eneC.hydrogen and deuteriumD.ortho-hydrogen and para-hydrogen Objective Show full explanation
Question 29A gas occupying an initial volume of 2dm3 is heated and allowed to expand to 6dm3 at constant pressure. The ration of the initial absolute temperature to the final absolute temperature is A.3:1B.1:3C.2:1D.1:2 Objective Show full explanation
Question 30Why are collisions between gas molecules said to be elastic? A.No loss of energy after collisionB.molecules move a part in straight lines after collisionC.total momentum decreases after collisionD.total momentum increases after collision Objective Show full explanation
Question 31Which of the following reactions is accompanied by the second ionization energy of an element? A.Xg → X-g + e-B.Xg → X+g + e-C.X+ → X2+ + e-D.X+ → X- + e-Objective Show full explanation
Question 32How many heat will be liberated if 10 g of hydrogen burns in excess oxygen according to the following thermochemical equation? A.-1430KJB.-2860KJC.-572KJD.-286KJObjective Show full explanation
Question 33Which of the changes determines the spontaneity of a chemical reaction? A.volume of the reactantsB.free energy of the systemC.entropy of the systemD.enthalpy of the system Objective Show full explanation
Question 34Which of the following statements is NOT correct of group (VII) elements? They A.are diatomicB.are good oxidizing agentC.are highly electronegativeD.have relatively low ionization potentials Objective Show full explanation
Question 35Calculate the minimum volume oxygen required for the complete combustion of a mixture of 20cm3 of CO and 20cm3 of H2 A.10cm3B.20cm3C.40cm3D.80cm3Objective Show full explanation
Question 36Calculate the quantity of electricity required to deposit 64.0 g of copper from copper (II) chloride (Cu=64, 1F = 96500C) A.3.09 × 106CB.1.93 × 105CC.9.65 × 104CD.6.18 × 106CObjective Show full explanation
Question 37Which of the reactions of marble with dilute HCl is fastest? A.5g of marble lump at 50°CB.5g of marble lump at 25°CC.5g of marble powder at 50°CD.5g of powder at 257deg; C Objective Show full explanation
Question 38How many political parties were registered for the last general election in Nigeria? A.48B.54C.25D.38 Objective Show full explanation
Question 39When was the IC Judgement between Nigeria and Cameroon delivered A.Oct. 10, 2002B.Sept. 12, 2001C.Sept. 11,1999D.Aug. 14, 2001 Objective Show full explanation
Question 40Which state in Nigeria has the highest number of Local, government Area?A.KatsinaB.BayelsaC.KanoD.SokotoObjective Show full explanation