Question 1Which of the following statement is true?A.The volumes of similar solids are in the ratio of the cube of their line at dimensionB.The sum of angles in a triangle is four right AnglesC.If two un-parallel lines are transverse by third line, then the corresponding angles must be equal.D.Hero's formula is used for computing Area of a triangle when only one of its side is given.Objective Show full explanation
Question 2Given that the matrix( 6) is Singular, then the value of x isA.10B.8C.12D.14Objective Show full explanation
Question 3Find the area of the curved surface of a cone whose base radius is 3cm and whose height is 4cm in term of πA.24π cm2B.36 πcm2C.9 πcm2D.15 πcm2Objective Show full explanation
Question 4Find the LCM of x2 + x, x2 - 1,x2-XA.x(x+1)(x-2)B.x(x-1)(x+1)C. (x²+1)(x+2)D.(x+1)x2Objective Show full explanation
Question 5Suppose that log y + 3log x=2, express y in terms of xA.y = 2 x2B. y = 52x2C. y = 100/x3D.y = x3/54Objective Show full explanation
Question 6The quadratic equation whose roots are 4 and - 7 isA.x2 + 3x + 28 =0B.x2 - 3x + 28 =0C.x2 -3x - 28 =0D.x2 + 3x - 28=0Objective Show full explanation
Question 7The remainder when f(x) = x3-3 x2 + x - 5 is divided by x + 2 isA.-18B.-22C.-27D.-32Objective Show full explanation
Question 8Solve the equation (0.3)x+1 =(0.7)A.-2.316 B.-3.112C.-1.421 D. -4.314Objective Show full explanation
Question 9Given U={a,b,c,d,e, f, g, h, ij,k,1} as theuniversal set and its subsets as P {a,b,f,g,j,l},Q={b,c,h,j} and R= {a,d,e,f}. PnR isA.{1,k,1}B.{a,f}C.{b,f,g}D.{d, 1}Objective Show full explanation
Question 10Given that tan è =5/12, then the actual value of Sin2è + Cos2è isA.3/12B.12/13C.1D.1/2Objective Show full explanation
Question 11The product of 214 and 23 in base 5 isA.4922 B.237C.428 D.11032Objective Show full explanation
Question 12The sum of 28 terms of the A.P. is,310,17 ...A.1427 B.3816C.4234 D.2730Objective Show full explanation
Question 13The figure above represents a pyramid with square base ABCD of side 5m. OA = OB = OC = OD = 8m. What is the height ON of the pyramid?A.5.37mB.8.14mC.6.35mD.7.18mObjective Show full explanation
Question 14A cone of height 6 cm and base radius 7 cm is placed on top of the cross section of a cylinder of height 10 cm and of the same radius with the cone. Find the volume of the composite figure so formedA.240cm2B.1240cm2C.1624cm2D.1848 cm2Objective Show full explanation
Question 15One interior angle of a regular a polygon is 170°. How many side has the polygon?A.24B.43C.18D.36Objective Show full explanation