Mathematics Terminologies and ME Codes, Cheat Sheet of Engineering Mathematics

Reviewer on Engineering Mathematics Terminologies with Mechanical Engineering Codes

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2018/2019

Available from 02/21/2023

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MATHEMATICS, ENG’G ECONOMICS AND PSME LAWS
1. An economic study is made of the total annual cost (C) for a series of alternative investments
(P) for a given project. If C is plotted as the ordinate versus P, most desirable investment occurs
when.
a. dC/dP = 1
b. dC/dP = 0
c. dC/dP = Co
d. dC/dP = +1
2. The following cost item which is common to both fixed and operating cost of an enterprise, is
a. interest
b. depreciation
c. taxes
d. supplies
3. The center gravity of an isosceles triangle whose height h is on the median line.
a. 2/3 h from the vertex
b. 2/3 h from the base
c. 1/3 h from the vertex
d. 1/3 h from the vertex
4. To comply the requirement of the Mechanical Engineering Law on the minimum compliment
of mechanical engineers, a mechanical plant with a combined prime movers rating of 373 kw
must have in its employ the following:
a. 1 PME , 1 Rme and 1 CPM
b. 1 PME and 2 RME
c. 1 RME and 2 CPM
d. 1 RME in-charge every shift
5. Before an RME may be allowed to take the licensure examinations for PME, he must have an
active practice of
a. 5 years
b. 4 years
c. 3 years
d. 6 years
6. Mechanical Plant engineer (MPE) may be allowed to take the licensure examinations for PME
if_______________
a. he has 4 years of active as a MPE
b. he graduated with a BSME degree and 4 years as an RME
c. he has a BSME degree, passed the examinations for RME and 4 years as RME
d. none of these
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MATHEMATICS, ENG’G ECONOMICS AND PSME LAWS

  1. An economic study is made of the total annual cost (C) for a series of alternative investments (P) for a given project. If C is plotted as the ordinate versus P, most desirable investment occurs when. a. dC/dP = 1 b. dC/dP = 0 c. dC/dP = Co d. dC/dP = +
  2. The following cost item which is common to both fixed and operating cost of an enterprise, is a. interest b. depreciation c. taxes d. supplies
  3. The center gravity of an isosceles triangle whose height h is on the median line. a. 2/3 h from the vertex b. 2/3 h from the base c. 1/3 h from the vertex d. 1/3 h from the vertex
  4. To comply the requirement of the Mechanical Engineering Law on the minimum compliment of mechanical engineers, a mechanical plant with a combined prime movers rating of 373 kw must have in its employ the following: a. 1 PME , 1 Rme and 1 CPM b. 1 PME and 2 RME c. 1 RME and 2 CPM d. 1 RME in-charge every shift
  5. Before an RME may be allowed to take the licensure examinations for PME, he must have an active practice of a. 5 years b. 4 years c. 3 years d. 6 years
  6. Mechanical Plant engineer (MPE) may be allowed to take the licensure examinations for PME if_______________ a. he has 4 years of active as a MPE b. he graduated with a BSME degree and 4 years as an RME c. he has a BSME degree, passed the examinations for RME and 4 years as RME d. none of these
  1. The only country that recognizes the mechanical engineering license of Filipinos issued by the Professional Regulation Commission and allowed to use the license in their country is______ a. America b. England c. Japan d. none of these 8. A statement of equality between two ratios a. valuation b. theorem c. power factor d. proportion
  2. The side opposite the right angle of a right triangle a. quadrilateral b. apothem c. hypotenuse d. median
  3. A plane close curve, all points of which are the same distance from a point within, called the center is a. chord b. circle c. arc d. radius
  4. Two triangles are congruent if two angles and the included side of one arc equal respectively to two angles and the included side of the other a. axiom b. postulate c. corollary d. theorem
  5. The volume of a circular cylinder is equal to the product of its base and altitude a. postulate b. corollary c. theorem d. axiom
  1. The ratio of the annual revenues to the annual expenses a. benefit-to-cost-ratio b. income ratio c. rate of return d. cost sales
  2. The reciprocal of 20 is a. 0. b. 20 c. 0. d. 0.
  3. A rectangle with equal sides a. rhombus b. trapezoid c. rectangle d. square
  4. The sum of the sides of a polygon a. circumference b. perimeter c. square d. hexagon
  5. A tax on imports a. import tariffs b. import quote c. value added tax d. capital account
  6. A line that meets a plane but is not perpendicular to it, in relation to the plane a. parallel b. collinear c. coplanar d. oblique
  7. Which is not a qualification of an applicant for ME board examination a. he must be holder of BSME degree b. he must be a citizen of the Philippines c. he must be at least 18 years old d. he must be a Certified Plant Mechanic
  1. Those funds that are required to make the enterprise or project a going concern a. banking b. accumulate account c. working capital d. principal or present worth
  2. The length of time during which the property may be operated at a profit a. length of time b. economic life c. physical life d. life
  3. Worth of the property as shown in the accounting records of an enterprise a. fair value b. market value c. use value d. book value
  4. Cost of things that are neither labor or materials a. construction cost b. expenses c. labor cost d. investments
  5. Kind of obligation which has no condition attached a. analytic b. gratuitous c. private d. pure
  6. Gross profit, sales less cost of goods sold as a percentage sales is called a. profit margin b. gross margin c. ROI d. price earnings
  1. The intercept form for algebraic straight line equation is a. a/x + y/b = 1 b. y = mx + b c. Ax +By + C = 0 d. x/a + y/b = 1
  2. The sum of the squares of the sine and cosine of angle. a. 0 b. 1 c. 2 d. 3
  3. The logarithm of a negative number is a. irrational number b. imaginary number c. real number d. complex number
  4. In general triangles the expression (sinA)/a = (sinB)/b = (sinC)/c is called a. the law of sines b. Eulers formula c. law of cosines d. Pythagorean theorem
  5. Is a rational expression usually the sum of several variable terms known as monomials. a. monomial b. polynomial c. binomial d. none of these
  6. The coefficients of the expansion can be determined quickly from a. trapezoidal rule b. Newton’s law c. PASCAL’s triangle d. none of these
  7. _________ of signs determined the maximum number of positive real roots that a polynomial will have by counting the number of sign several. a. Simson’s rule b. L Hospital rule c. Descartes’ rule d. none of these
  1. The base for common logarithm is a. 10 b. 0 c. 100 d. none of these
  2. Napierian logarithm is a. 0 b. 10 c. 2. d. none of these
  3. Is used to transform a proper polynomial fraction of two polynomials into a sum of simpler expressions. a. synthetic division b. partial fraction c. factoring d. non of these
  4. A set of linear equation with no simultaneous solution known as a. consistent system b. inconsistent system c. dependent systems d. none of these
  5. The _______ form is a shorthand method of writing a complex number in rectangular form. a. cis b. bis c. fis d. non of dis
  6. _________ should be used when the numerator and denominator of the expression both approaches zero or both approach infinity. a. Simpson’s rule b. L’ Hospitals rule c. Decarte’s rule d. none of these
  7. A _________ is the matrix that remains when selected rows or columns are removed from the original matrix. a. matrix b. sub-matrix c. determinant d none of these
  1. The solid angle has units of a. radians b. degrees c. steredians d. none of these
  2. Is the horizontal coordinate a. ordinate b. abscissa c. coordinate axis d. none of these
  3. Is a straight line that is approach but not intersect by the curve line a. asymptote b. coordinate c. parallel d. none of these
  4. Is a closed figure whose surface is convex everywhere. a. convex hull b. concave hull c. null d. none of these
  5. The hyperbola is the locus of points such that difference in distance from the two foci is. a. a b. 2a c. 4a d. none of these
  6. Is the ratio of semi-major and semi-minor axis a. ellipse ratio b. parabolic ratio c. aspect ratio d. none of these
  7. All of the following are usually considered variable cost except a. cost of miscellaneous supplies b. payroll benefit cost c. income taxes d. janitorial service expense
  1. All of the following are usually considered fixed cost except a. rent b. interest on loans c. direct labor cost d. property taxes
  2. Conic sectors which are neither ellipse, parabola or hyperbola a. spiral conic b. genetix conic c. degenerate conic d. cardoid conics
  3. A polygon having all angles are equal is known as a. equiangular polygon b. equilateral polygon c. pentagon d. decagon
  4. Another term for rhombus is known as a. diamond b. dichotomy c. cyclic quadrilateral d. bi-rectangular
  5. A triangle whose three sides are equal is called a. equilateral b. scalene c. acute d. obtuse
  6. All of the following are standard cash flows except a. single payment b. uniform series c. derivative d. exponential gradient
  7. Angular units use in the sexagesimal system is called a. mili measure b. grad c. degree d. radian
  1. An index of short term paying ability is called a. receivable turnover b. profit margin ratio c. current ratio d. acid-test-ratio
  2. Modes of extinguishing obligation when creditor abandon his right to collect a. condonation b. forfeiture c. debt cancellation d. liquidated damages
  3. Cash money credit necessary to established and operate an enterprise a. funds b. assets c. capital d. liabilities
  4. Intangible assets of a corporation or company a. investment b. equity c. dacion-en-pago d. patents
  5. A civil wrong committed by one person causing damage to another person or his property of reputation a. tort b. negligence c. material brench d. fraud
  6. A fund into which annual deposits of A are made in order to accumulate fund F at N years in the feature a. amortization b. depreciation c. annuity d. sinking fund
  1. Points that lie on the same plane a. coplanar b. oblique c. parallel d. collinear
  2. Kind of obligation which has no condition attached a. analytic b. pure c. gratuitous d. private
  3. Estimated value at the end of the useful life a. salvage value b. compounded annually c. economic life d. balance sheet
  4. What is work in process classified as a. a revenue b. a liability c. an expose d. an asset
  5. The PRC accredited national for mechanical engineers a. ASME b. PSME c. PAMEE d. PICE
  6. All circles having the same center but with unequal radii are called a. tangent circles b. unequal circles c. eccentric circle d. concentric circle
  1. Is the mathematical statement of equality. a. variable b. constant c. equation d. none of these
  2. Equations that are written in terms of variables. a. trigonometric equations b. algebraic equations c. geometric equations d. none of these