Math_elements3.pptx

LAWS, ETHICS (MISCELLANEOUS ELEMENTS)

To comply with the requirement of the Mechanical Engineering Law on the minimum complement of mechanical engineers, a mechanical plant with a combine prime movers rating of 373 KW must have in its employ the following: a. b. c. d.

1 PME, 1 RME, and 1 CPM 1 RME, 2 CPM 1 PME, 2 RME 1 RME is charge of every shift Note: the plant is operating 3 shifts

ans: B

Mechanical Plant Engineer (MPE) may be allowed to take the licensure examination for PME if

a. He has 4 years practice as MPE b. If he graduated with a BSME degree and has a 4 years c. If he has BSME degree, passed the examinations for RME and has 4 years practice as RME d. None of these

ans: A

The only country that recognizes the mechanical engineering licensure of Filipinos issued by the Professional Regulation Commission and allowed to used the practice as RME a. b. c. d.

America Japan Canada None of these

ans: D

The ratio between the average load and total available capacity a. b. c. d.

Load factor Power factor Demand factor Capacity factor

ans: D

In Roman Numerals, the doorframe written with letter indicates that the number equivalent to the letter is to be multiplied by a. b. c. d.

100 1,000 100,000 1,000,000

ans: C

In Roman Numerals, the bar written above with letter indicates that the number to the letter is to be multiplied by a. b. c. d.

100 1,000 10,000 100,000

ans: C

Indicate the false statement about rules of divisibility. a. The number is divisible by 9 if the sum of its digits is divisible by 9 b. The number is divisible by 12 if it is divisible by 4 and 3 c. The number is divisible by 4 if the number formed by the last 2 digits by the last 2 digits is divisible by 3 d. The number is divisible by 5 if it ends with 5 and 0

ans: C

The base number if the number systen

a. b. c. d.

Index Radix Cologarithm Logarithm

ans: B

What is another name of octal number system? a. b. c. d.

Octonary number system Octenary number system Octonumber system Octonumerals

ans: B

A number system using a plane value or base of 20 a. b. c. d.

Sexagesimal number system Duodecimal number system Bidecimal number system Vigesimal number system

ans: D

A number system using a place value (or base) of 60 a. b. c. d.

Sexagesimal number system Septenary number system Senary number system Sexadecimal number system

ans: A

A number system using a place value (or base) of 10 a. b. c. d.

Decimal number system Denary number system Denary number system All of the above

ans: D

What is the radix of the binary number system? a. b. c. d.

10 16 8 2

ans: D

A number system which needs sixteen symbols, the 10 numerals and the letters A,B,C,D,E and F is called a. b. c. d.

Octal number system Duodecimal number system Vegesimal number system Hexadecimal number system

ans: D

The term “dozen” and “gross” used what number system? a. b. c. d.

Decimal number system Duodecimal number system Vegesimal number system Hexadecimal number system

ans: B

1 gross is equivalent to

a. b. c. d.

10 dozens 144 pieces 5 dozens 100 pieces

ans: B

The number 1 followed by 100 zeros or 10100 is called a. b. c. d.

Centillion Chiliagon Milliagon Google

ans: D

The speed of 10 exponent google or 10google is called

a. b. c. d.

Miligoogle Centigoogle Googleplex Myriad

ans: C

The speed of light is nearly

a. b. c. d.

3 x 105 km/s 3 x 106 km/s 3 x 104 km/s 30,000,000 m/s

ans: A

If deka means 101 and kilo means 103, then 102 is a. b. c. d.

Deci Tera Hector Atto

ans: C

1 cubic meter is equal to 1 _____.

a. b. c. d.

Span Section Scruple Stere

ans: D

The number 1 followed by 15 zeros is known as a. b. c. d.

One billion One trillion One quadrillion One quintillion

ans: C

100 kilograms is equivalent to 1

a. b. c. d.

Ton Quintal Section Stere

ans: B

One section is equal to 1 ______.

a. b. c. d.

Square foot Square meter Square nautical mile Square statute mile

ans: D

One foot is equivalent to how many hands?

a. b. c. d.

2 3 4 5

ans: B

The radius of the Earth’s orbit around the Sun (the average distance between the Sun and Earth) is known as a. b. c. d.

Lightyear Astronomical orbit Astronomical unit Steradian

ans: C

The astronomical unit is approximately equal to a. b. c. d.

100 million km 125 million km 150 million km 175 million km

ans: C

Absolute zero is

a. b. c. d.

0oC 0oF 0R 0K

ans: D

The gravitational constant G is equivalent to ______ N.m2/kg2 a. b. c. d.

6.67 x 10-9 6.67 x 10-10 6.67 x 10-11 6.67 x 10-12

ans: C

1 BTU is equivalent to how many Joules

a. b. c. d.

1054 1045 1036 1064

ans: A

The pressure of 1 torr is equivalent to how many Pascals? a. b. c. d.

100.0 133.3 166.7 200.0

ans: B

1 horsepower is equivalent to how many Watts? a. b. c. d.

764 476 674 746

ans: D

1 electron volt is equivalent to how many Joules? a. b. c. d.

1.603 x 10-19 1.602 x 10-16 1.602 x 10-14 1.602 x 10-12

ans: A

Which is not equivalent to 1 atm?

a. b. c. d.

1.013 x 105 Pa 1.013 bar 14.7 psi 1000 kg/cm2

ans: D

The value of (33)2 is

a. b. c. d.

54 81 243 729

ans: D

The number of board feet in a plank 3 inches thick, 1 foot wide and 20 foot length is a. b. c. d.

60 120 360 720

ans: A

The following type item, which is common to both the fixed and operating cost of an enterprise is a. b. c. d.

Interest Depreciation Taxes Supplies

ans: C

The center of gravity of an isosceles triangle whose height H is on the median line a. b. c. d.

2/3 from the vertex 1/3 H from the vertex 2/3 H from the vertex ¾ H from the vertex

ans: C

The number of the board feet in a plank 2 inches thick, one foot wide and 20 feet long is a. b. c. d.

400 20 40 Power

ans: C

The nearest whole number to the value of 2/3 (700)2/3 is: a. b. c. d.

312 1,243 12,433 54

ans: D

Ninety degrees is equal to

a. b. c. d.

1,500 radians 3.142 rad 1.57 rad 1,000 rad

ans: C

The standard acceleration due to gravity, g is equal to: a. b. c. d.

64.34 ft/sec2 32.2 ft2/sec 980 ft/sec 35.30 km/hr/sec

ans: D

Point “A” in an irregular shaped rotating body is 10 ft. From an instantaneous axis. At the same time instant a point “B” in the body is to have twice the velocity a. b. c. d.

5 ft 240 inches 305 cm 6.2 meters

ans: B

Circular pitch times diametral pitch equals

a. b. c. d.

∏ 1/∏ 1.0 ∏2

ans: A

A general principle in the motion of a body can be stated as follows (F = force, M = mass, V = velocity, ∆ = change, T = time) a. b. c. d.

FT = MV F∆T = MV2 FT = M∆V F∆V = M∆T

ans: C

In mechanics, if mass (M), length (L), and time (T) are selected as primary units, force (F) will have the following equations a. b. c. d.

F = MLT F = MT2L-1 F = MLT-2 F = ML-1T-2

ans: C

For a simple beam supported at each end and which is uniformly loaded a. b. c. d.

The shear at the center of the beam is zero The moment diagram is a straight line The shear at the reaction is a minimum The maximum moment occurs at the reaction

ans: A

The use of carbon in steel

a. b. c. d.

Increases the hardness Increases the ductility Increases the resistance to shock Decreases the resistance to fatigue

ans: A

The loss of the weight of the body submerged in a fluid is a. Proportional to the depth of submergence b. Equal to the weight of the fluid displaced c. Independent of the specific gravity of the liquid d. Proportional to the weight of the body

ans: B

The difference between the book value and the actual lower resale value is a. b. c. d.

Sunk cost Savage value Fixed cost Resale value

ans: A

It occurs when a unique product or service is available only from a single supplier and entry of all other possible suppliers prevented: a. b. c. d.

Inventory Monopoly Competition Profitbility

ans: B

Two triangles are congruent if two angles and the included side of one are equal respectively to two angles and the include side of the other a. b. c. d.

Theorem Corollary Axiom postulate

ans: A

The side opposite the right angle of a right triangle a. b. c. d.

Median Apothem Quadrilateral Hypotenuse

ans: D

A instrument for measuring specific density of fluids a. b. c. d.

Hygrometer Flowmeter Clinometer Hydrometer

ans: D

Output over input

a. b. c. d.

Annuity Efficiency Rate of return Bond

ans: B

The volume of a circular cylinder is equal to the product of its base and altitude a. b. c. d.

Corollary Postulate Axiom Theorem

ans: D

A statement of equality between two ratios:

a. b. c. d.

Theorem Proportion Valuation Power factor

ans: B

A plane closed curve, all points of which are the same distance from a point within, called the center is a. b. c. d.

Radius Circle Arc Chord

ans: B

Which of the following is the definition of the Joule? a. b. c. d.

A unit of power A Newton meter A kg m/s2 A rate of change of energy

ans: B

What is the equivalent expression for sin2x?

a. b. c. d.

½ sin x cos x 2sin x cos(½ x) (2sin x ) / sec x -2 sin x cos x

ans: C

The series expansion for cos x contains which powers of x? a. b. c. d.

0, 2, 4, 6, 8,. . . 1, 3, 5, 9,. . . 1, 2, 3, 4, 5,. . . ½, 3/2, 5/2, 7/2,. . .

ans: A

All of the following statements about photons are correct, EXCEPT: a. Photons are small quanta of electromagnetic energy b. Energy of photons varies according to E = hf, where h is Planck’s c. Photon energy varies with source intensity, i.e. A bright light source emits photons of lighter energy than a dim source d. Velocity of photons in vacuum is c, the speed of light, 3 x 1010 cm/sec

ans: C

A one-candle power light source radiates luminous flux at the rate of a. b. c. d.

1 lumen 2 lumens ∏ lumens 4∏ lumens

ans: D

A principal sum P is invested at a nominal interest rate r, compounded m times a year, for n years. The accumulated amount at the end of this period will be a. b. c. d.

P(1 + r/m)r P(1 + r/m)n/m P(1 + r/m)m None of these

ans: D

In the formula P = F(1 + i)-n is called the

a. b. c. d.

Sinking fund factor Single payment present worth factor Single payment compound amount factor Capital recovery factor

ans: B

A fund established to produced a desired amount at the end or a given period by means of series of payments throughout the period is called a sinking fund, and is represented by the formula: a. b. c. d.

A = F[i /(1 + i)n - 1] A = P(1 + i)-n A = F{[(1 + i)n – 1]/[i(1 + i)n]} A = F[(1 + i)n/i]

ans: A

Which of the following relationships between compound interest factors is NOT correct? a. Single payment compound amount factor and single payment present worth factor are reciprocals b. Sinking fund factor and uniform series compound amount factor are reciprocals c. Capital recovery factor and sinking fund factor are reciprocals d. Capital recovery factor equals sinking fund factor plus the interest rate

ans: C

In determining the average annual cost of a project, the formula [(P – S)/n] + (P – S)(i/2)[(n + 1)/n] + Si a. Sinking fund depreciation plus interest on the first cost b. Straight line depreciation plus interest on first cost c. Straight line depreciation plus average interest d. Capital recovery with a return

ans: C

An “annuity” is defined as a. Earned interest due at the end of each interest period b. Cost of producing a product or rendering a service c. A series of equal payments occurring at equal periods of time d. Total annual overhead assigned to a unit of production

ans: C

If the sine of angle A is given as K, what would be the tangent of angle A? a. b. c. d.

aK/h hK/a ha/K oK/a

ans: B

In finding the distance, d, between two points, which equation is the appropriate one to use? a. b. c. d.

d = square root [(x1 – x2)2 + (y1 – y2)2] d = square root [(x12 – x22 ) + (y12 – y22 )] d = square root [(x1 – y1)2 + (x2 – y2)2] d = square root [(x2 – x1)2 + (y2 – y1)2]

ans: D

The equation y = a1 + a2X is an algebraic expression for which the following choices? a. b. c. d.

A cosine expansion series Projectile motion Projectile energy A straight line

ans: D

What is the name for a vector that represents the sum of two vectors? a. b. c. d.

Scalar Resultant Tensor Moment

ans: B

What type of curve is generator by a point which moves in uniform circular motion about an axis, while travelling with a constant speed, v, parallel to the axis? a. b. c. d.

A cycloid An epicycloid A hypocycloid A helix

ans: D

All of the following statements about the electron structure of atom are correct, EXCEPT: a. Electrons of highest energy are located in the outer orbitals b. Each orbital can contain one electron c. K, L, M, etc. Shells are designation representing the principal quantum number n = 1, 2, 3, etc. d. Each shell may contain up to n2 orbitals, but not exceeding

ans: B

All of the following are characteristic of waves, EXCEPT: a. Energy of wave varies with the square of its amplitude b. Interference is interaction of waves. The observed effect is based on the principle of superposition c. Wave frequency changes on entering a medium where the velocity of propagation is changed d. Diffraction, or bending of a wave, occurs arround the edges of obstacles.

ans: C