Coaching Notes MATH 3-3 PDF

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1. A parallelogram with oblique triangles and only the opposite sides are equal. A. circle B. pyramid C. rhomboid D. polygon 2. The velocity of a liquid with discharges under a head is equal to the velocity of the body which falls in the same head. A. Lenz law B. Archimedes principle C. Torrecelli’s theorem D. Bernoulli’s principle 3. How much of a 40% solution of alcohol and how much of an 80% solution should be mixed to give 150 liters of a 50% solution? A. 112.5 liters / 37.5 liters B. 121.5 liters / 53.7 liters C. 211 liters / 3.5 liters D. 212 liters / 53.7 liters 4. How much water must be evaporated from the 18 kg of 20% salt solution to produce a 50% solution. A. 2.25 kg B. 5.0 kg C. 7.5 kg D. 10.5 kg 5. A series of numbers having the common ratio A. geometric progression B. arithmetic progression C. harmonic progression D. no answer 6. Find the last term of the series of numbers 2, 5, 8, … to the 8th term. A. 20 B. 21 C. 22 D. 23 – 7. A series of numbers having the common difference. A. harmonic progression B. geometric progression C. arithmetic progression -

D. none of these 8. Neglecting friction head, sum of pressure head, velocity head and elevation head of a point is equal to the sum of pressure head, velocity head and elevation head of another point. A. Archimedes principle B. Lenz law C. Bernoulli’s principle D. Pascal law 9. A body partly or wholly submerged in a liquid buoyed up by a force equal to the weight of the liquid displaced. A. Pascal law B. Archimedes principle C. Pressure D. Charles law 10. The ratio of the peripheral velocity of a jet is called A. speed ratio B. velocity ratio C. peripheral coefficient D. hydrodynamics 11. It is straight line towards a curve approaches but never meets. A. directrix B. major axis C. asymptotes D. conjugate axis 12. It is the rule used for differentiating a function, that is, if z is function of y and y is function of x, then dz/dx = (dz/dx)(dy/dx) A. L. Hospital’s rule B. Chain rule C. Crammer’s rule D. Slide rule 13. Two triangles are congruent if they satisfy _________. A. SAS rule B. ASA rule C. SSS rule D. any of the above 14. The process of plotting points to give rise to the graph of a curve. it includes the use of techniques of

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symmetry, maxima and minima, curvature and asymptote. A. drafting B. curve tracing C. dimensional analysis D. correlation The special type of quadrilateral with two pairs of adjacent sides equal. A. parallelogram B. trapezoid C. rectangle D. kite A series of numbers which are perfect square such as the series ( 1, 4, 9, 16, 25 . . . ) A. Fermat’s numbers B. Euler’s numbers C. Fibonacci’s numbers D. Fourier’s series It is a point on the axis midway between the focus and the directrix of the parabola. A. Vertex B. origin C. latus rectum D. eccentricity The angle between the horizontal and the line of sight to the observed point if the observed point is below the horizontal of the observer. A. angle of elevation B. angle of depression C. angle of inclination D. none of these The highest point of figure with respect to the base or plane of the base. A. apothem B. peak C. apex D. altitude A method of solving linear equations of several unknown simultaneously using determinants or matrices. A. Binomial theorem

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B. Coulomb’s law C. Cramer’s rule D. Chain rule Geometric figures having the identical shape and size. A. similar B. conjugate C. concurrent D. congruent – An equilateral polygon or sometimes known as a regular polygon. A. equigon B. isogon C. perigon D. decagon The base of a number system. A. radius B. radix C. characteristics D. matrix Force acting on a single point. A. coplanar forces B. compressive forces C. concurrent forces D. shearing forces It has the same magnitude as the resultant force, but in opposite direction. A. Couple B. conjugate C. equilibrant D. concurrent The Newton’s first law in motion. A. law of inertia B. law of action and reaction C. law of mass and acceleration D. law of conservation and momentum The rate at which the body or substance either absorbs or produces energy. A. impulse B. momentum C. work D. power -

28. The metric equivalent of Joule is equal to A. newton-meter B. watt-second C. volt-coulomb D. all of the above 29. 20000 PS to hp: A. 17920 B. 19720 C. 17290 D. 19270 30. A rivet in double shear A. is always hand driven B. has twice the strength as a rivet in shear C. has the same strength as a rivet in a single shear D. has four times the strength of a rivet in a single shear 31. The product of n consecutive integers from 1 to n. A. serial B. integral C. differential D. factorial 32. It is the one having all terms of the same degree for polynomials as x³ + x²y +y³ A. identical B. heterogeneous C. homogeneous D. partial 33. The operation of root extraction. A. Evolution B. involution C. revolution D. devolution 34. The chemical most commonly used to spread sedimentation of sewage is A. Lime B. copper sulfate C. sulfuric acid D. ethylene blue 35. Most of the bacteria in sewage are A. Saprophytic B. dangerous

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C. parasitic D. pathogenic One of the two types of non-material nuclear radiation is A. gamma radiation B. transmutation radiation C. Walton radiation D. betatron radiation If you wished the temperature distribution within a room to be as even as possible, you would blow hot air into the room near the A. Floor B. ceilings C. walls D. door Which is not a qualification for an applicant for ME Board Examination? A. Certified Plant Mechanic B. Holder of BSME degree C. At least 18 years of age D. A citizen of the Philippines The maximum power rating of mechanical works or plant that can be tended or operated by a certified plant mechanic is A. 37.3 kW B. 298.4 kW C. 223.8 kW D. 119.9 kW The most important factor in determining high temperature behavior of an alloy is A. dispersion B. ionization C. crystallization D. composition With regards to corrosion of metals, passivation is the process that A. inhibits further deterioration B. intensifies deterioration C. alters the grain size of the metal D. changes metal composition

42. At relatively high temperatures and low rates of strains, structures will perform better if their material is A. coarse grained B. fine grained C. behavior is independent of grain D. none of the above 43. Intermittent sand filters are primarily used to A. oxidized putrescible matter B. supply fertilizers to farmers C. remove solids from sewage D. neutralize sludge 44. The gas from sludge digestion tanks is mainly composed of A. nitrogen B. carbon dioxide C. methane D. oxygen 45. Quantity of chlorine in parts per million required to satisfactorily chlorinate sewage is usually A. 125 - 150 B. 0 – 25 C. 65 - 90 D. 30 - 50 46. Ratio of oxygen available to the oxygen required for stabilization of sewage is called A. concentration factor B. relatives stability C. oxygen – ion concentration D. bacterial stability factor 47. In the design of grit chambers A. maximum velocity of flow is 1 ft/s B. baffles are essential C. temperature is an important factor D. retention period should be at least 30 min. 48. The greatest unit pressure the soil can continuously withstand A. bearing strength B. yield point C. ultimate strength D. point of rupture

49. An equation in which a variable appears under a radical sign A. Irrational equation B. Radical equation C. Irradical equation D. Literal equation 50. The logarithm of 1 to any base is A. infinity B. indeterminate C. zero D. one 51. All circles having the same center but unequal radii are called A. concentric circles B. encircles C. concyclic D. tangent circles 52. A plane closed curve, all points of which are the same distance from a point within called the center is A. arc B. radius C. circle D. chord 53. A statement of equality between two ratios A. power factor B. evaluation C. proportion D. theorem 54. A polygon with fifteen sides A. nonagon B. decagon C. pentedecagon D. dodecagon 55. The first derivative of kinetic energy with respect to time A. force B. momentum C. work D. power 56. The point where the second derivative of function is equal to zero

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A. inflection point B. minima C. point of intersection D. maxima Linear momentum is a product of mass and velocity and this can be expressed also as a function of A. force, time B. force, velocity C. force, displacement D. force, acceleration The name of a vector representing the sum of two vectors A. tangent B. resultant C. scalar D. tensor A curve generated by a point which moves in uniform circular motion about an axis while traveling with a constant speed parallel to the axis. A. epicycloid B. helix C. cycloid D. Spiral of Archimedes The tendency of a liquid surface to contract A. surface tension B. air resistance C. gravity D. viscosity of fluid Measure of fluid resistance when acted upon by an external force A. Viscosity B. density C. flash point D. tackiness An instrument for measuring high temperature gases. A. Pyrometer B. ammeter C. odometer D. anemometer A rectangle with equal sides A. rectangle

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B. square C. rhombus D. trapezoid The base unit for mass in the SI system of measurement A. Newton B. hyls C. kilogram D. Joule Absolute viscosity is a derived unit describe as A. Pascal – second B. Newton per meter C. square meter per second D. Watt per meter Kelvin Property of the body which measures its resistance to change in motion. A. acceleration B. mass C. rigidity D. weight Chemical method of feedwater treatment which uses calcium hydroxide and sodium carbonate as reagents. A. demineralization process B. lime soda treatment C. thermal treatment D. ion exchange treatment Date of the signing of the new Mechanical Engineering law A. February 12, 1998 B. February 21, 1998 C. February 15, 1998 D. February 28, 1998 If equals are added to equals, the sum are equal. A. Theorem B. postulate C. axiom D. corollary A straight line perpendicular to one of two parallel planes is perpendicular to the other also A. Theorem B. postulates

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C. axiom D. corollary Sum of the sides of a polygon. A. hexagon B. circumference C. perimeter D. square A quadrilateral whose opposite sides are equal. A. Parallelogram B. triangle C. median D. trapezoid The PSME code 1993 defines the five grades of Commercial Fuel Oils and also provide specifications for underground and above ground Oil Storage Tanks such as for maximum capacity of 1100 gallons. The tank thickness of the metal shall be A. Number 12 gage B. Number 14 gage C. Number 16 gage D. Number 18 gage Kinematic viscosity is an SI derive unit described as A. Pascal second B. watt per meter Kelvin C. square meter per second D. Newton per meter Locus of points on a side which rolls along a fixed line. A. Cycloid B. cardioid C. epicycloid D. hypocycloid A specimen is subjected to a load. When the load is removed, the strain disappears. The material is A. ductile B. elastic C. plastic D. at high modulus of elasticity Study of motion without reference to the forces which causes motion. A. Kinematics B. Hydrodynamics

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C. Statics D. Aerodynamics A cantilever beam with a concentrated load at the free end, the moment is A. maximum at the wall B. constant along the beam C. maximum at the free end D. maximum at midspan The loss weight of a body submerged in a fluid is A. equal to the weight of the body displaced B. independent of the volume of the body C. proportional to the weight of the body D. none of the above A line segment joining two points on a circle A. sector B. chord C. arc D. tangent It is defined as the motion of a rigid body in which a straight line passing through any two of its particle always remains parallel to its initial position A. Rotation B. Plane motion C. Translation D. Kinematics Foaming is caused by A. Chemicals B. scales C. hard water D. soft water High alkalinity water in a boiler causes A. pitting B. fire cracks C. corrosion D. caustic Priming is caused by A. too much blowdown B. cold feedwater C. low hardwater D. load swings -

85. A thermodynamic system which undergoes a cyclic process during a positive amount of work is done by the system. A. heat pump B. heat engine C. reversed rankine cycle D. reversible - irreversible process 86. Amount of heat needed to raise the temperature of 1 pound of that substance one degree Fahrenheit is A. BTU B. Specific heat C. Relative heat D. Latent heat 87. The study of the condition of air and moisture in the atmosphere. A. Thermodynamics B. Atmospherics C. Gas dynamics D. Psychrometrics 88. The gage used to measure 0.001 to 1 atmosphere pressure A. Bourdon B. Mercury manometer C. Water manometer D. Metallic diagram 89. Water in an open glass at a room temperature is A. saturated liquid B. compressed liquid C. liquid with quality is zero D. liquid with quality is unity 90. Which of the process where work is zero A. isopiestic B. isometric C. isentropic D. polytropic 91. In an internal combustion engine, the stroke that discharges gas inside the cylinder A. power B. intake C. compression D. exhaust -

92. An adiabatic process with no work done is A. Throttling B. isobaric C. isometric D. isothermal 93. In a system, the sum of internal energy and the product of pressure and volume is A. entropy B. enthalpy C. work D. heat 94. Force on a submerged area A. weight B. fluid pressure C. fluid force D. density 95. Hydraulic power is expressed in whp in English units. In SI it is expressed in A. hp B. wkw C. kwh D. whp 96. One English hp is 746 watts. In SI, one metric hp is A. 736 watts B. 746 watts C. 756 watts D. 760 watts 97. One mechanical hp is equivalent to A. 16 boiler hp B. 14.51 boiler hp C. 13.15 boiler hp D. 24 boiler hp 98. One mm of hg is equivalent to A. 13.33 kPa B. 3.313 kPa C. 0.1333 kPa D. 1.333 kPa 99. Which of the following does not belong to the group? A. Class A Fire - fire caused by light combustible material like paper and wood

B. Class B Fire - fire caused by oil and other hydrocarbon C. Class C Fire - fire caused by electrical fire D. Class D Fire - fire caused by LPG100. What is the color of steam pipe? A. red B. green C. silver gray D. violet 101. Color for water pipes A. Green B. orange C. violet D. ultra red 102. An increase in heat enthalpy of a substance when it undergoes a change of phase at constant pressure and temperature. A. heat of fusion B. heat of crystallization C. heat of vaporizationD. heat of transformation 103. The ideal reversible Carnot Cycle revolves four basic processes. They are A. two isentropic B. all isentropic C. all isothermal D. two isentropic and two isothermal 104. The origin of the energy conservation equation used in flow system. A. 1st law of thermodynamics B. 2nd law of thermodynamics C. Newton’s 2nd law of motion D. Newton’s 1st law of motion 105. Coefficient of friction for dry surfaces A. does not depend on the material B. depends on the material and on the finish condition of the surface C. depends only on the finish condition of the surface D. depends on the composition of the material only 106. For an existing boiler installation the lowest of safety permissible shall be:

A. 3.0 B. 3.5 C. 4.0 D. 4.5 107. Ratio between the average load and total available capacity. A. capacity factor B. load factor C. demand factor D. diversity factor 108. Ratio between the average load and the peak load. A. load factor B. use factor C. demand factor D. capacity factor 109. Ratio between the actual demand load to the connected load. A. use factor B. demand factor C. capacity factor D. utilization factor 110. The new Mechanical Engineering law which was signed last February 12, 1998 is known as A. RA 8491 B. RA 8495 C. RA 8499 D. RA 8492 111. Under the provision of PSME code 1993, what is the color symbol for air piping? A. silver gray B. green C. light blue D. red 112. Which of the following is the basis of Bernoulli’s law of fluid flow? A. Fouriers law B. principle of mass conservation C. continuity equation D. principle of energy conservation – 113. Which of the following is not a unit of work? A. Dyne -

B. work C. watt - second D. Newton - meter 114. What condition exists in an adiabatic throttling process? A. variable enthalpy B. constant enthalpy C. constant entropy D. volume constant 115. Specific gravity of a substance is the ratio of its density to the density of A. mercury B. water C. gas D. air 116. Instrument used in determining the specific gravity of any substance A. hydrometer B. westphal balance C. psychrometer D. all of the above 117. The weight of the column of air above the earth’s surface. A. aerostatic surface B. air pressure C. atmospheric pressure D. wind pressure 118. Gas being heated at constant volume A. isentropic B. adiabatic C. isobaric D. isometric 119. A process that has no heat transfer A. reversible B. adiabatic C. polytropic D. isometric 120. Heat normally flowing from a high temperature body to a low temperature body wherein it is impossible to convert heat without other effects is: A. 1st Law of Thermodynamics

B. 3rd Law of Thermodynamics C. 2nd Law of Thermodynamics D. Zeroth Law 121. Form of energy associated with kinetic energy of the random motion of large number of molecules. A. Heat B. heat of fusion C. kinetic energy D. enthalpy 122. At what temperature are two temperature scales, degrees Celsius and Fahrenheit equal? A. - 20 deg C B. - 40 deg C C. - 30 deg C D. 40 deg C 123. Turboeject engine thrust is produced by: A. thrust reaction of the turbine blading B. ram effect of the intake fuel C. additional weight of the injected fuel D. acceleration of the cases through the engine 124. A process in which water vapor is added to the air stream by adiabatic evaporation A. evaporative cooling B. sensible cooling C. humidifying D. none of above 125. Each miniature boiler shall be provided with a blow off connection not less than 12.7 min. iron size in direct connection with the A. lowest water space B. 5 mm above the lowest water space C. side of the lowest water space D. none of the above 126. Where ground water or surface water are used for feed water, water hardness of 0 – 10 ppm shall be considered an alkalinity A. ph 10 to ph 11 B. ph 9 to ph 10 C. ph 8 to ph 9 D. ph 8 to ph 10 127.

128. The resistance that a fluid offers to flow as a consequence of its internal friction forces is called ______. A. Viscosity B. Pour point C. Viscosity index D. Lubricity 129. The level of solubility of refrigerants in an oil is a function of temperature and ______. A. Viscosity B. Dielectric strength C. Pour point D. None of the above 130. The rate at which the viscosity of an oil changes as its temperature changes is called _______. A. Viscosity B. Pour point C. Viscosity index D. Floc point 131. Oil foaming is a consequence of _______ A. Oil temperature B. Refrigerant solubility C. Refrigerant pressure D. Oil viscosity 132. Reducing refrigerant migration during the off cycle _____ oil foaming. A. Increases B. Decreases C. Has no effect on D. Varies 133. Which of the following strategies will reduce oil foaming in a system? A. Pump-down cycle B. Oil additives C. Crank case heaters D. All of the above 134. Which of the following oils is not normally used with HFC refrigerants A. Polyalphaolefin B. Naphtalenes C. Alkylbenzenes

D. Polyglycols 135. An electric device used to reduce foaming in a crankcase is a ______ A. Solenoid valve B. Check valve C. Crankcase heater D. All of the above 136. The lowest temperature at which an oil can flow is called _______. A. Viscosity B. Pou...