Elements of Mathematics, Engineering Economics, and Basic Engineering Sciences PDF

ELEMENTS OF MATHEMATICS, ENGINEERING ECONOMICS AND BASIC ENGINEERING SCIENCES 1. One nautical mile is equivalent to: A. 5280 ft. B. 6280 ft. C. 1.256 statute mile D.1.854 km 2. 255oC is equivalent to: A. 491oF B. 472oF...

ELEMENTS OF MATHEMATICS, ENGINEERING ECONOMICS AND BASIC ENGINEERING SCIENCES 1. One nautical mile is equivalent to: A. 5280 ft. B. 6280 ft. C. 1.256 statute mile D.1.854 km 2. 255oC is equivalent to: A. 491oF B. 472oF C. 173.67oF D. 109.67oF 3. Which of the following is correct? A. 1 hp = 746 kW B. 1 hp = 0.746 W C. 1 hp = 0.746 kW D. 1 hp = 546 W 4. If equals are added to equals, the sum is equal. A. theorem B. postulate C. axiom D. corollary 5. If a = b and b = c, then a = c. This property of real numbers is known as: A. reflexive B. symmetric C. transitive D. addition 6. If a = b and b = a. This property of real numbers is known as: A. reflexive B. symmetric C. transitive D. multiplication 7. A line segment joining two points on a circle is called: A. arc B. tangent C. sector D. chord 8. An angle greater than straight angle and less than two straight angles is called: A. right angle B. obtuse angle C. reflex angle D. acute angle 9. All circles having the same center but unequal radii are called A. encircle B. tangent circles C. concyclic D. concentric circles 10. A triangle having three sides equal is called: A. equilateral B. scalene C. isosceles D. right 11. In a regular polygon, the perpendicular line drawn from the center of the inscribed circle to any one of the sides is called: A. radius B. altitude C. median D. apothem 12. A quadrilateral with two and only two sides of which are parallel is called: A. parallelogram B. trapezoid C. quadrilateral D. rhombus 13. A polygon with fifteen sides is called: A. dodecagon B. decagon C. pentedecagon D. nonagon 14. A statement the truth of which is admitted without proof is called: A. an axiom B. a postulate C. a theorem D. a corollary 15. A rectangle with equal sides is called: A. rhombus B. trapezoid C. square D. parallelogram 16. The sum of the sides of a polygon is termed as: A. circumference B. altitude C. apothem D. perimeter 17. A line that meets a plane but not perpendicular to it, in relation to the plane, is A. parallel B. collinear C. coplanar D. oblique 18. A quadrilateral whose opposite sides are equal is generally termed as: A. a square B. a rectangle C. a rhombus D. a parallelogram 19. A part of a line included between two points on the line is called: A. a tangent B. a secant C. a sector D. a segment 20. If the edge of a cube is doubled, which of the following is correct? A. the lateral area will be quadrupled C. the diagonal is doubled B. the volume is increased 8 times D. the weight is doubled 21. The section of the sphere cut by a plane through its center is termed as: A. small circle B. incircle C. big circle D. great circle 22. Lines that pass through a common point are called: A. collinear B. coplanar C. concurrent D. congruent 23. In two intersecting lines, the angles opposite to each other are termed as: A. opposite angle B. vertical angles C. horizontal angle D. inscribed angle 24. A normal to a given plane is: A. perpendicular to the plane C. parallel to the plane B. lying on the plane D. oblique to the plane 25. The chord passing through the focus of the parabola and perpendicular to its axis is termed as: A. directrix B. translated axis C. latus rectum D. axis 26. The locus of the point which move so the sum of its distances between two fixed points is constant is called as: A. a parabola B. a circle C. an ellipse D. a hyperbola 27. A tangent to a conic is a line A. which is parallel to the normal C. which passes inside the conic B. which touches the conic at only one point D. all of the above 28. The focus of a point that moves so that its distance from a fixed point and a fixed line is always equal is known as: A. a parabola B. a circle C. an ellipse D. a hyperbola 29. The locus of a point, which moves so that it is always equidistant from a fixed point is known as: A. a parabola B. a circle C. an ellipse D. a hyperbola 30. In polar coordinate system, the polar angle is positive when: A. measured clockwise C. measured in the terminal side of 0 B. measured counterclockwise D. none of these 31. The plane rectangular coordinate is divided into four parts which are known as: A. coordinates B. octants C. quadrants D. axis 32. The rectangular coordinate system in space is divided into eight compartments which are known as: A. quadrants B. octants C. axis D. coordinates 33. A conic section whose eccentricity is greater than one is known as: A. a parabola B. an ellipse C. a circle D. a hyperbola 34. A conic section whose eccentricity is less than one is known as: A. a parabola B. an ellipse C. a circle D. a hyperbola 35. A conic section whose eccentricity is equal to one is known as: A. a parabola B. an ellipse C. a circle D. a hyperbola 36. In polar coordinate system, the distance from a point to the pole is known as: A. polar angle B. x-coordinate C. radius vector D. y-coordinate 37. The curve represented by the equation r = 6 is: A. a parabola B. a line C. an ellipse D. a circle 38. When two lines are perpendicular, the slope of one is: A. equal to the other B. equal to the reciprocal of the other C. equal to the negative of the other D. equal to the negative of the reciprocal of the other 39. The axis of the hyperbola which is parallel to its directrices is known as: A. conjugate axis B. transverse axis C. major axis D. minor axis 40. The axis of the hyperbola through its foci is known as: A. conjugate axis B. transverse axis C. major axis D. minor axis 41. Any equation which, because of some mathematical process, has acquired an extra root is sometimes called a: A. redundant equation B. literal equation C. linear equation D. defective equation 42. A statement that one mathematical expression is greater than or less than another is called: A. inequality C. absolute condition B. non-absolute condition D. conditional expression 43. A relation in which every ordered pair (x,y) has one and only one value of y that corresponds to the value of x is called: A. function B. range C. domain D. coordinates 44. An equation in which a variable appears under the radical sign is called: A. literal equation B. radical equation C. irradical equation D. irrational equation 45. In a proportion of four quantities, the first and the fourth terms are referred to as the: A. means B. denominators C. extremes D. numerators 46. A polygon is ____ if no side, when extended, will pass through the interior of the polygon. A. convex B. equilateral C. isoperimetric D. congruent 47. Which of the following statements are correct? A. All equilateral triangles are similar B. all right triangles are 48. The volume of any solid of revolution is equal to the generating area times the circumference of the circle described by the centroid of the area. This is commonly known as: A. first proposition of Pappus C. Cavalier’s Principle B. second proposition of Pappus D. Simpson’s Rule 49. It is defined as the motion of a rigid body in which a straight line passing through any two particles always remains parallel to its initial position A. translation B. rotation C. plane motion D. kinetics 50. Which of the following is not a vector quantity? A. mass B. torque C. displacement D. velocity 51. The product of force and the time during which it acts is known as:  A. impulse B. momentum C. work D. impact 52. The property of the body which measures its resistance to changes in motion. A. acceleration B. weight C. mass D. rigidity 53. The study of motion without reference to the forces which causes motion is known as: A. kinetics B. dynamics C. statics D. kinematics 54. A branch of physical science that deals with state of rest or motion of bodies under the action of forces is known as: A. mechanics B. kinetics C. kinematics D. statics 55. In physics, work is defined in terms of the force acting through a distance. The rate at which the work is done is called: A. force B. energy C. power D. momentum 56. The point through which the resultant of the distributed gravity force passes regardless of the orientation of the body in space is known as: A. center of inertia B. center of gravity C. center of attraction D. moment of inertia 57. The specific gravity of the substance is the ratio of the density of the substance to the density of water. Another term for specific gravity is: A. specific weight B. unit weight C. relative density D. density 58. The momentum of a moving object is the product of its mass and velocity. Newton’s Second Law of Motion says that the rate of change of momentum with respect to time is: A. power B. energy C. momentum D. force 59. The recorded current value of an asset is known as: A. scrap value B. book value C. salvage value D. present value 60. The ratio of the interest payment to the principal for a given unit of time and is usually expressed as a percentage of the principal is known as: A. investment B. nominal interest C. interest D. interest rate 61. A method of depreciation whereby the amount to recover is spread over the estimated life of the asset in terms of the periods or units of output is called: A. SYD method C. straight line method B. declining balance method D. sinking fund method 62. The interest rate at which the present worth of cash flow on a project is zero, or the interest earned by an investment: A. rate of return B. effective rate C. nominal rate D. yield 63. The lessening of the value of an asset due to the decrease in the quantity available. This refers to the natural resources such as coal, oil, and timber in the forest. A. depreciation B. depletion C. inflation D. incremental cost 64. The method of depreciation where a fixed sum of money is regularly deposited at Compound interest in a real or imaginary fund in order to accumulate an amount equal to the total depreciation of an asset at the end of the asset’s estimated life is known as: A. straight line method C. declining balance method B. SYD method D. sinking fund method 65. The term used to express the series of uniform payments occurring at equal interval of time is: A. compound interest B. annuity C. perpetuity D. depreciation 66. The profit derived from a project business enterprise without consideration of obligations to financial contributors and claim of others based on profit is known as:  A. yield B. earning value C. economic return D. expected yield 67. As applied to capitalized asset, the contribution of the initial cost by periodic changes to operation as in depreciation of the reduction of the depth by either periodic or irregular prearranged program is called: A. amortization B. annuity C. depreciation D. capital recovery 68. The term used to define the loss in the value of an asset due to its use or passage of time is: A. amortization B. depletion C. depreciation D. depression 69. The number of favorable outcomes divided by the number of possible outcomes is: A. permutations B. probability C. combination D. chance 70. Two factors are considered essentially the same if: A. one is merely the negative of the otherC. both of them are negative B. one is exactly the same as the other D. both of them are positive 71. All integer is said to be prime if: A. it is factorable by any value B. it is an odd integer C. it has no other integer as a factor except itself or 1 D. it is an even integer 72. Equations in which the members are equal for all permissible values of unknowns are called: A. a conditional equation C. a parametric equation B. an identity D. a quadratic equation 73. Equation which satisfy only for some values of unknown are called: A. a conditional equation C. a parametric equation B. an identity D. a quadratic equation 74. Those funds that are required to make the enterprise or project a going concern: A. Banking C. working capital B. accumulated amount D. principal or present work 75. Ivory soap floats in water because: A. all matter has mass B. the density of ivory soap is unity C. the specific gravity of ivory soap is greater than that of water D. the specific gravity of ivory soap is less than that of water 76. If the product of the slopes of any two straight lines is negative 1, one of these lines are said to be: A. parallel B. skew C. perpendicular D. non-intersecting 77. When two planes intersect with each other, the amount of divergence between the two planes is expressed by measuring the: A. dihedral angle B. plane angle C. polyhedral angle D. reflex angle 78. The angle which the line of sight to the object, makes with the horizontal, which is above the eye of the observer is called: A.angle of depression B. angle of elevation C. acute angle D. bearing 79. These are product or services that are desired by humans and will be purchased if money is available after the required necessities have been obtained: A. utilities B. necessities C. luxuries D. producer goods and services 80. These are product or services that are required to support human life and activities, that will be purchased in somewhat the same quantity even though the price varies considerably: A. utilities B. necessities C. luxuries D. producer goods and services 81. In complex algebra, we use a diagram to represent a complex plane commonly called: A. Argand diagram B. Venn diagram C. Funicular diagram D. De Moivre’s diagram 82. The graphical representation of the commulative frequency distribution in a set of statistical data is called: A. Ogive B. Histogram C. Frequency polyhedron D. Mass diagram 83. The median of a triangle is the line connecting a vertex and the midpoint of the opposite side. For a given triangle, these medians intersects at a point which is called the: A. orthocenter B. incenter C. circumcenter D. centroid 84. The altitudes of the side of a triangle intersect at the point known as: A. orthocenter B. circumcenter C. centroid D. incenter 85. The angular bisector of the sides of a triangle intersect at the point which is known as: A. orthocenter B. circumcenter C. centroid D. incenter 86. The arc length equal to the radius of the circle is called: A. 1 radian B. 1 quarter circle C. pi radian D. 1 grad 87. A five-pointed star is also known as: A. pentagon B. pentatron C. pentagram D. quintagon 88. A point on the curve where the second derivative of a function is equal to zero is called: A. maxima B. minima C. point of inflection D. point of intersection 89. The point on the curve where the first derivative of a function is zero and the second derivative is positive is called: A. maxima B. minima C. point of inflection D. point of intersection 90. The area bounded by two concentric circles is called: A. ring B. disk C. annulus D. sector 91. A condition where only few individuals produce a certain product and that any action of one will lead to almost the same action of the others: A. oligopoly B. semi-monopoly C. monopoly D. perfect competition 92. An angular unit equivalent to 1/400 of the circumference of a circle is called: A. mil B. degree C. radian D. grad 93. Any two points along a streamline in an ideal fluid in steady flow, the sum of the pressure, the potential energy per unit volume, and the kinetic energy per unit volume has the same value. This concept is known as the: A. Pascal’s theorem C. Fluid theory B. Bernoulli’s energy theorem D. Hydraulic theorem 94. It is the amount that a willing buyer will pay to a willing seller for a property where each has equal advantage and is under no compulsion to buy or sell. A. fair value B. use value C. market value D. book value 95. The line passing through the focus and perpendicular to the directrix of a parabola is called: A. latus rectum B. axis of parabola C. tangent line D. secant line 96. A sequence of numbers where the succeeding term is greater than the preceeding term is called: A. dissonant series B. convergent series C. isometric series D. divergent series 97. The number 0.123123123…. is A. irrational B. surd C. rational D. transcendental 98. The altitudes of the sides of a triangle intersect at the point known as: A. orthocenter B. circumcenter C. centroid D. incenter 99. When two plane intersect with each other, the amount of divergence between the two planes is expressed by measuring the: A. polyhedral angle B. plane angle C. reflex angle D. dihedral angle 100. What is the point where the second derivative of a function is equal to zero? A. maxima B. minima C. inflection point D. point of intersection 101. It is defined to be the capacity of a commodity to satisfy human want: A. discount B. luxuries C. utility D. necessity 102. Kinematic viscosity in an SI derived unit is described as: A. watt per meter Kelvin C. Pascal-second B. sq. meter per second D. Newton per meter 103. The length of the time during which the property may be operated at a profit is called: A. life B. length of time C. physical life D. economic life 104. The logarithm of 1 to any base is: A. indeterminate B. zero C. infinity D. one 105. A form of summary of assets, liabilities, and net worth: A. balance method B. break-even point C. balance sheet D. production 106. In a cantilever beam with a concentrated lead at the free end, the moment is: A. constant along the beam C. ¼ maximum halfway out on the beam B. maximum at the wall D. maximum at the free end 107. What is the name for the vector that represents the sum of two vectors? A. scalar B. tangent C. tensor D. resultant 108. The worth of property, which is equal to the original cost less depreciation, is known as: A. earning value B. scrap value C. book value D. face value 109. What is the natural logarithm of e to the xy power? A. 1/xy B. 2.718/xy C. xy D. 2.718xy 110.When using net present worth calculations to compare two projects, which of the following could invalidate the calculations? A. mutually exclusive projects C. non-conventional cash flow B. evaluation over different periods D. difference in the magnitude of the projects 111. The loss of weight of a body submerged in a fluid is: A. the proportional to the weight of the body B. proportional to the depth of submergence  C. equal to the weight of the fluid displaced D. independent of the volume of the body 112. Which of the following is a form of business/company ownership? A. partnership B. corporation C. single proprietorship D. a,b, and c 113. What is annuity? A. the future worth of a present amount B. a series of uniform amounts over a period of time C. an annual payment of a loan D. the present worth of a future amount 114. What must two investments with the same present worth and unequal lives have? A. identical salvage value B. identical equivalent uniform annual cash flows C. different salvage values D. different equivalent annual cash flows 115. What is the formula for the straight-line depreciation rate? A. C. B. D. 116. This occurs when a certain product is offered for sale by many vendors or suppliers, and there is no restriction against other vendors from entering the market A. monopoly B. oligopoly C. perfect competition D. inelastic demand 117. It is defined as the capacity of a commodity to satisfy human want A. necessity B. demand C. utility D. none of these 118. The amount received from the sale of an additional unit of a product is termed as: A. marginal cost B. marginal utility C. marginal unit D. marginal revenue 119. An accounting book where the original record of all transactions is ordinarily recorded. A. journal B. credit entry C. debit entry D. transaction record 120. An interest-earning fund in which equal deposits are made at equal intervals of time for The purpose of gradually accumulating a specific sum of money required at some future date. A. amortization B. sinking fund C. annuity D. capitalized cost 121. The decrease in value of a physical property due to the passage of time. A. inflation B. depletion C. recession D. depreciation 122. A leak from a faucet comes out in separate drops. Which of the following is the main cause of this phenomenon? A. gravity B. air resistance C. viscosity of the fluid D. surface tension 123. What is work-in-process classified as? A. an asset B. a liability C. an expense D. owner’s equity 124. Prisms are named according to their____________ A. diagonals B. sides C. vertices D. bases 125. An array of m x n quantities which represent a single number system composed of elements in row and column is known as: A. transpose of a matrix C. co-factor of matrix  B. determinants D. matrix 126. The characteristics is equal to the exponent 10, when the number is written in: A. exponential B. scientific notation C. logarithmic D. irrational 127. It is a polyhedron in which two faces are equal to polygons in parallel planes and the other faces are parallelograms. A. tetrahedron B. prism C. frustum D. prismatoid 128. Terms that differ only in numeric coefficients are known as: A. unequal terms B. unlike terms C. like terms D. equal terms 129. Inelastic collision is collision in which the total kinetic energy after collision is ___________ before collision. A. equal to zero B. equal C. less than D. greater than 130. The property by virtue of which a body tends to return to its original size or shape after a deformation and when the deforming forces have been removed. A. Elasticity B. Malleability C. Ductility D. Plasticity 131. A Plain Geometry, two circular arcs that together make up a full circle are called: A. conterminal arcs B. conjugate arcs C. half arcs D. congruent arcs 132. It represents the distance from the y-axis. A. ordinate B. coordinate C. abscissa D. polar distance 133. At a minimum point, the slope of the tangent line is: A. negative B. infinity C. positive D. zero 134. _________ is a sequence of terms whose reciprocals form an arithmetic progression. A. geometric progression C. algebraic progression B. harmonic progression D. ratio and proportion 135. The logarithm of a number to the base e (2.718281828….) is called. A. Naperian Logarithm C. Mantissa B. Characteristic D. Briggsian logarithm 136. The ratio or product of two expressions in direct or inverse relation with each other is called: A. ratio and proportion C. means B. constant variation D. extremes 137. In any square matrix, when the elements of any two rows are exactly the same, the determinant is: A. zero B. positive integers C. negative integers D. unity 138. We may classify an interest rate, which specifies the actual rate on interest on the principal for one year as: A. Nominal rate B. Rate of return C. Exact interest rate D. Effective rate 139. Two or more equations are equal if and only if they have the same: A. solution set B. degree C. order D. variable set 140. At the point of inflection where x = a, A. f’(a) = is not equal to zero C. f’(a) > 0 B. f’(a) = 0 D. f’(a) < 0 141. Polygons are classified according to the number of: A. vertices B. sides C. diagonals D. angles 142. One joules of work is done by a force of one Newton acting through a distance of:  A. one cm. B. one inch C. one meter D. one foot 143. In a conic section, if the eccentricity e>1, the locus is: A. an ellipse B. a hyperbola C. a parabola D. a circle 144. Kinetic energy equals: A.1/2 mass(velocity) B. mass(velocity) C. mass(acceleration) D. ½ mass(velocity) 2 145. In an ideal gas where p = pressure, V = volume, and T = absolute temperature in degrees Kelvin, which of the following is constant. A. pV/T B. pT/V C. pVT D. p/VT 146. The worth of property which is equal to the original cost less the deprecation: A. scrap value B. earning value C. book value D. face value 147. Intangible assets of a corporation or company. A. dacion-en-pago B. investment C. patents D. equity 148. The logarithm of negative numbers is: A. irrational number B. real numbers C. imaginary numbers D. complex numbers 149. The impulse and momentum principle is mostly useful for solving problem involving: A. velocity acceleration, and time C. force, velocity, and time B. force, acceleration, and time D. force, velocity, and acceleration 150. The equilibrium temperature that a regular thermometer measures if posed to atmospheric air is: A. dry bulb temperature C. wet bulb temperature C. OC D. dew point 151. On the hoist or load block or some equally visible space of every hoist designed to lift its load vertically shall be legibly marked: A. its electrical voltage C. its rated load capacity B. its brand and model D. its motor horsepower or KW 152. Additional information to prospective bidders on contract documents issued prior to bidding date: A. ascalatory clause B. delicts C. technological assessment D bid bulletin 153. In general triangles the expression (sinA)/a = (sinB)/b = (sin C)/c is called: A. Eulers formula B. Law of cosine C. Law of sine D. Pyhthagorean theorem 154. What type of curve is generated by a point which move in uniform circular motion about an axis, while traveling at constant speed, v, parallel to the axis? A. helix B. spiral of Archimedes C. hypocycloid D. cycloid 155. An angle more than π radian but less than 2π radian is: A. straight angle B. obtuse angle C. related angle D. reflex angle 156. A civil wrong committed by one person causing damage to another person or of his property or reputation: A. tort B. negligence C. material breach D. fraud 157. What is an annuity? A. A series of equal payment at an equal period of time B. The cost of manufacturing a product C. An investment that yields an equal amount of interest each year. D. The over cost per unit production 158. Consist of actual counting or determination of the actual quantity of the materials on hands as of a given date: A. physical inventory B. technological assessment C. material update D. material count 159. The sum of the sides of a polygon: A. perimeter B. square C. hexagon D. circumference 160. A plane closed curve, all points of which are the same distance from a point within, called the center: A. arc B. circle C. radius D. chord 161. One-fourth of a great circle: A cone B. quadrant C. circle D. sphere 162. An artificial expense that spreads the purchase price of an asset or other property over a number of years: A. Depreciation B. Amnesty C. Sinking Fund D. Bond 163. Point that lie in the same plane: A. coplanar B. oblique C. collinear D. parallel 164. Estimated value at the end of the useful life: A. salvage value B economic life C. balance sheet D. compounded annually 165. The study of properties of figures of three dimensions: A. physics B. plane geometry C. solid geometry D. trigonometry 166. The total income equals the total operating cost: A. balance sheet C. in-plane value B. break-even-no-gain-no-lose D. check and balance 167. The volume of a circular cylinder is equal to the product of its base and altitude. A. postulate B. theorem C. corollary D. axiom 168. In finding the distance of two point P1(x1,y1) and P2(x2,y2), the most direct procedure is to use A. the law of cosines C. the translation of the axis B. the slope of the line D. the Pythagorean Theorem 169. In finding the distance between two points P1(r1,Ө1) and P2(r2,Ө2), the most direct procedure is to use: A. the law of cosines C. the translation of the axis B. the slope of the line D. the Pythagorean Theorem 170. It describes the luminous flux incidence per unit area and is expressed in lumens per square meter: A. Luminous intensity B. Illuminance C. Radiance D. Luminace 171. Point of the derivatives, which do not exist (and so equal to zero) are called: A. stationary point B. maximum point C. maximum and minimum point D. minimum point 172. It can be defined as the set of all points in the plane the sum of whose distance from two fixed points is constant: A. circle B. ellipse C. hyperbola D. parabola 173. The moment of inertia of a plane figure: A. is zero at the centroidal axis B. increase as distance of the axis moves farther from the centroid C. decrease as the distance of the axis moves farther from the centroid D. is maximum at the centroidal axis 174. If the equation is unchanged by the substitution of –x for x, its curve is symmetric with respect to the: A. y-axis B. x-axis C. origin D. line 45 degree with the axis 175. Which of the following cannot be an operation of matrices? A. subtraction B. addition C. multiplication D. division 176. The quartile division is a measure of: A. division B. central tendency C. certainty D. dispersion 177. In complex algebra, we use a diagram to represent a complex planer commonly called: A. De Moivre’s Diagram C. Argand Diagram B. Funicula Diagram D. Venn Diagram 178. A marked whereby there is only one buyer of an item for which there are no goods A Monopoly B. Oligopoly C. Oligopsony D. Monopsony 179. Convergent sequence in a series of decreasing numbers or when the succeeding term is ______ than the proceeding term. A. ten times more B. greater C. equal D.lesser 180. If the second derivative of a curve is equal to the negative of the equation of that same curve, the curve is: A. a cissoid B. a paraboloid C. a sinusoidal D. an exponential 181. A line which is perpendicular to the x-axis has a slope equal to: A. zero B. either C. one D. infinity 182. It is a characteristic of a population which is measurable: A. frequency B. distribution C. sample D. parameter 183. According to the law, “The force between two charges varies directly as the magnitude of each change and inversely as the square of the distance between them.” A. Law of Universal Gravitation C. Coulomb’s Law B. Newton’s Law D. Inverse Square Law 184. In an ellipse, the chord which contains a focus and a line perpendicular to the major axis is: A. latus rectum B. minor C. focal width D. conjugate axis 185. This form of business ownership is a legal entity possessing many of legal powers of individuals. It can hold title to property, sue and be sued in its own name. It is called: A. corporation B. company C. general partnership D. individual proprietorship 186. The balance sheet is a statement showing the financial status of the company at a given time. Which of the following statement is not a part of a balance sheet? A. liabilities B. asset C. cost of goods sold D. net worth 187. Refers to the cost of merchandise which includes freight and insurance cost: A. freight-on-board B. sunk cost C. debentures D. book valve 188. A fund into which annual deposit of A are made in order to accumulate fund F at n years  in the future: A. Amortization B. Annuity C. Deprecation D. sinking fund 189. Cash money credit necessary to establish and operate an enterprise: A. funds B. capital C. liabilities D. assets 190. The act of charging two or more buyers or sellers different prices for the same product where the elasticity of supply or demand at each price level differs among market, is known as: A. Price optimization B. Price discrimination C. Price manipulation D. 191. A formal organization of producers within an industry forming a perfect collision purposely formed to increase profit and block newcomers from the industry is termed as: A. Oligopoly B. Monopoly C. Price leadership D. Cartel 192. A situation at which rival firms drive prices down through attempts to undercut each other’s prices is called: A. Price war B. Price discrimination C. Price leadership D. Oligopolistic monopoly 193. The price that the quantity per unit time that the buyers want to buy is just equal to the quantity the sellers want to sell is called: A. Break-even-price B. Equilibrium price C. Minimum price D. Maximum price 194. The length of time during which a property is capable of performing the function for which it was designed and manufactured, is termed as: A. Economic life B. Life span C. Eternal life D. Physical life 195. It is distinct legal entity, separate from the individuals who own it and which can engage in practically any business transaction which a real person can do: A. Partnership B. Single proprietorship C. Corporation D. Competition 196. How many faces have an icosahedron? A. 16 B. 18 C. 20 D. 22 197. Which of the following cannot be a probability? A.1 B. 0 C. 1/e D. 0.43434343 198. Each of the faces of a regular hexahedron is a: A. Square B. Triangle C. Hexagon D. Circle 199. Infinity minus infinity is: A. infinity B. zero C. indeterminate D. none of these 200. Any number divided by infinity is equal to: A. 1 B. infinity C. zero D. indeterminate 201. The term in between any two terms of an arithmetic progression is called: A. Arithmetic mean B. Median C. Middle termD. Mean 202. An arc length, which is equal to the radius of the circle, is called: A. 1 degree B. 2п radians C. 1 radians D. 1 п radians 203. Polygons with all interior angles less than 180O is called: A. Concave polygon B. Convex polygon C. Acute polygon D. Supplemental polygon 204. If every element of a column (or row) of a square matrix is multiplied by m, the determinant of the matrix will be: A. unchanged B. multiply by m C. it depends D. none of these 205. Any number multiplied by__________ equals unity A. infinity B. itself C. its reciprocal D. zero 206. Calorie is the amount of heat required to increase the temperature of ___________ of water by one degrees Celsius; A. 1 kg. B. 1 lb. C. 1 mg. D. 1 gram 207. In probability theory, the set of possible outcomes of an experiment is termed as: A. a sample space C. a set of random variable B. a set of random events D. a fuzzy set 208. What is not true for the differential equation y’ + y/x 2 = 1/x2? A. it is linear B. it is homogenous C. it is separable D. it can be solved using the integrating factor e-1/x 209. If the second derivative of the equation of a curve is equal to the negative of the equation of the same, the curve is: A. sinusoidal B. a tangent C. a conic section D. an exponential 210. To cut a right circular cone in order to reveal a parabola, it must be cut: A. perpendicular to the axis of symmetry B. at any acute angle to the axis of symmetry C. parallel to the element of a cone and intersecting the axis of symmetry D. parallel to the axis of symmetry 211. To find the angle of a triangle, given only length of the sides, one would use: A. the laws of cosine C. the law of sine B. the law of tangent D. the inverse square law 212. The parabola y = x2 + x + 1 opens: A. to the right B. to the left C. upward D. downward 213. The path of the projectile is: A. a parabola B. an ellipse C. a part of a circle D. a hyperbola 214. What is a possible outcome of an experiment called? A. a sample space B. a random point C. an event D. a finite set 215. The family of curves which intersect a given family of curves at an angle less than 90O are called: A. orthogonal trajectories C. isogonal trajectories B. intersecting curves D. acute angle 216. A series of numbers which are perfectly square numbers (1,4,9,16,…) is called: A. Fourier series B. Fermat’s number C. Euler’s number D. Fibonacci Number 217. A sequence of numbers where every term is obtained by adding all the preceding terms such as 1, 5, 14, 30,….. is called: A. triangle number B. pyramidal number C. tetrahedral number D. Euler’s number 218. “Equal volume of all gases under the same conditions of temperature and pressure contain the same number of molecules”. This hypothesis is promptly known as: A. Daltons hypothesis C. Debye-Sear’s hypothesis B. Avogadro’s hypothesis D. Compton’s hypothesis 219. The ratio of the triaxial stress, to the change on volume at equal stress in all directions is: A. Modulus of flexure C. Bulk modulus of elasticity B. Modulus of rapture D. Coefficient of restitution 220. According to the law of Johannes Kepler, “The orbit of satellite is an ellipse, the radius of vector sweeps equal areas in equal interval of time and the square of the periods of revolution with respect to both satellite and planet is proportional to the cubes of their mean distance from each other. “The shape of the ellipse depends upon its: A. Eccentricity C. Apogee and perigee B. Length of latera recta D. Ascending and descending nodes 221. This implies to the resistance to shock or difficulty of breaking and expresses the work per unit volume required to fracture a material. A. Toughness B. Malleability C. Hardness D. Ductility 222. The reciprocal of bulk modulus of elasticity of any fluid is called: A. Compressibility B. Volume strain C. Volume stress D. Shape factor 223. A line perpendicular to the x-axis has a slope of: A. Zero B. Unity C. Infinity D. None of these 224. The locus of points generated when a circle is made to roll externally along a circumference of another circle. A. Cissoids of Diocles B. Folium of Descartes C. Epicycloid D. Cardoid 225. This law states that “When the use of one of the factors of production is limited, either in increasing cost or absolute quantity, a point will be reached beyond which an increase in the variable factor will result in less than proportionate increase in output.” A. Law of Supply and Demand C. Law of Gravity B. Law of Diminishing Return D. Law of Diminishing Utility 226. If the roots of an equation are zero, then they are classified as: A. Trivial solution B. Extraneous roots C. Conditional solution D. Hypergolic solution 227. A complex number associated with a phase-shifted sine wave in polar form whose magnitude is in RMS and angle is equal to the angle of the phase-shifted sine wave is known as: A. Argand’s number B. Imaginary number C. Phasor D. Real numbers 228. “The resultant of the external force applied to an object composed of a system of particles, is equal to the vector summation of the effective force acting on all particle”. This principle is known as: A. Archimedes Principle C. D’Alembert’s Principle B. Bernoulli’s Principle D. Gauss-Jordan Principle 229. It is a surface generated by moving a straight line ( called the generator ) which is always parallel to a fixed line and which always intersect a fixed plane curve ( called the directrix ) is: A. Cylindrical surface C. Spherical surface B. Locus of a point D. Paraboloid 230. The space diagonal of a cube ( the diagonal joining two non-coplanar vertices ) is 6 m. The total surface area of the cube is:  A. 60 B. 66 C. 72 D. 78 231. The difference between the present worth and the worth at some future time is: A. Discount B. Profit C. Credit D. Debit 232. In raw data, the term, which occurs mostly frequently, is known as: A mean B. Median C. Mode D. Quartile