Question 1If the universal set U = {1,2,3,4,5,6,7,8,9,10}, M = following is equal to (M U N)'? A.(M n N)'B.M' U N'C.M' n N'D.M n N Objective Show full explanation
Question 2Cos(180 - θ) is equivalent to A.cos(θ - 180)B.cosθC.-cosθD.-cos(180 + θ) Objective Show full explanation
Question 3Find the equation of the circle with centre (-1,3) and radius 4 A.x2 + y2 - 6x + 4y = 6B.x2 + y2 + 2x - 6y = 16C.x2 + y2 - 6x + 2y = 16D.x2 + y2 + 2x - 6y = 6 Objective Show full explanation
Question 4Find ${dy}/{dx}$ if y = $3/{√x }$A.-(3/2)x-3/2B.3x-3/2C.(3/2)x-3/2D.(3/4)x-3/2Objective Show full explanation
Question 6A die is tossed twice. What is the probability of obtaining a total of 6 if both numbers are odd? A.1/12B.1/18C.3/36D.1/6 Objective Show full explanation
Question 7If the mean of the numbers a,b,c,d,e is x, find the mean of numbers a + k, b + 2k, c - k, d - 2k, e A.xB.x + kC.x - kD.2x Objective Show full explanation
Question 8Factorize: a2 - b2 + (a + b)2 A.2a2B.2a(a - b)C.2a(a + b)D.2b(b - a) Objective Show full explanation
Question 9Let α and β be roots of quadratic equation x2 + 2x - 3 = 0 then αβ is A.-3B.-2C.2D.6 Objective Show full explanation
Question 10Covert 6910 to a number in base two A.1001101B.1010001C.1000101D.100101 Objective Show full explanation
Question 11The reciprocal of $3/{4/{1/4+1/3}}$ is A.1 2/7B.7/9C.-1 2/7D.-7/9Objective Show full explanation
Question 12The speed of 30 kilometres per minute, expressed in centimetres per second is A.5B.50C.500D.5000 Objective Show full explanation
Question 13Evaluate x if log4 (x + 3)(x - 3) = 2 A.3 or -3B.5 or -5C.5 or -3D.3 or -5 Objective Show full explanation
Question 14Given that a = $1/{2-√3}$, b = $1/{2+√3}$, find the value of $a^2 + b^2$ A.14/37B.7C.14 2√2D.14 Objective Show full explanation
Question 15If the binary operation * is defined as x * y = 2, find 2*(4*5) A.4B.5C.-5D.2 Objective Show full explanation
Question 17Find the value of $∫^{π/2}_0(2π+2cos2x)dx$A.π2 + 1B.π2C.π2 - 4D.π2 + 3 Objective Show full explanation
Question 18The circle 2x2 + 2(y - 3/2)2 = 2 has centre and radius respectively as A.(0, 3/2) and 2B.(0, -3/2) and 1C.(3/2, 0) and 2D.(0, 3/2) and 1 Objective Show full explanation
Question 19The line perpendicular to the straight line y + 3/2x - 1 = 0 has the gradient A.-2/3B.3/2C.3D.2/3 Objective Show full explanation
Question 20Find x if 2x2 = 4(x+4)A.-2 or 4B.-2 or 2C.-4 or 4D.-4 or 2 Objective Show full explanation
Question 21Expressed in partial fraction ${3x}/{x^2-1}≡A/{x-1}-B/{x+1}$. Then A and B respectively is A.-3, 3B.2/3, 2/3C.-3/2, -3/2D.3/2, 3/2 Objective Show full explanation
Question 22A square has perimeter of 40cm. What is its area in cm square? A.80B.1600C.100D.160 Objective Show full explanation