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WorksheetsMESL Miscellaneous
Total questions: 77
Worksheet time: 39mins
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: Note: the plant is operating 3 shifts
1 PME, 1 RME, and 1 CPM
1 RME, 2 CPM
1 PME, 2 RME
1 RME is charge of every shift
Mechanical Plant Engineer (MPE) may be allowed to take the licensure examination for PME if
He has 4 years practice as MPE
If he graduated with a BSME degree and has a 4 years practice as RME
If he has BSME degree, passed the examinations for RME and has 4 years practice as RME
None of these
The only country that recognizes the mechanical engineering licensure of Filipinos issued by the Professional Regulation Commission and allowed to use the practice as RME
America
Japan
Canada
None of these
The ratio between the average load and total available capacity
Load factor
Power factor
Demand factor
Capacity factor
In Roman Numerals, the doorframe written with letter indicates that the number equivalent to the letter is to be multiplied by
100
1,000
100,000
1,000,000
In Roman Numerals, the bar written above with letter indicates that the number to the letter is to be multiplied by
100
1,000
10,000
100,000
Indicate the false statement about rules of divisibility.
The number is divisible by 9 if the sum of its digits is divisible by 9
The number is divisible by 12 if it is divisible by 4 and 3
The number is divisible by 4 if the number formed by the last 2 digits by the last 2 digits is divisible by 3
The number is divisible by 5 if it ends with 5 and 0
The base number if the number system
Index
Radix
Cologarithm
Logarithm
What is another name of octal number system?
Octonary number system
Octenary number system
Octonumber system
Octonumerals
A number system using a plane value or base of 20
Sexagesimal number system
Duodecimal number system
Bidecimal number system
Vigesimal number system
A number system using a place value (or base) of 60
Sexagesimal number system
Septenary number system
Senary number system
Sexadecimal number system
A number system using a place value (or base) of 10
Decimal number system
Denary number system
Denary number system
All of the above
What is the radix of the binary number system?
10
16
8
2
A number system which needs sixteen symbols, the 10 numerals and the letters A, B, C, D, E and F is called
Octal number system
Duodecimal number system
Vegesimal number system
Hexadecimal number system
The term “dozen” and “gross” used what number system?
Decimal number system
Duodecimal number system
Vegesimal number system
Hexadecimal number system
1 gross is equivalent to
10 dozens
144 pieces
5 dozens
100 pieces
The number 1 followed by 100 zeros or 10 100 is called
Centillion
Chiliagon
Milliagon
Googol
The speed of 10 exponent google or 10 google is called
Miligoogle
Centigoogle
Googleplex
Myriad
The speed of light is nearly
3 x 10 5 km/s
3 x 10 6 km/s
3 x 10 4 km/s
30,000,000 m/s
If deka means 10 1 and kilo means 10 3 , then 10 2 is
Deci
Tera
Hector
Atto
1 cubic meter is equal to 1 _____
Span
Section
Scruple
Stere
The number 1 followed by 15 zeros is known as
One billion
One trillion
One quadrillion
One quintillion
100 kilograms is equivalent to 1
Ton
Quintal
Section
Stere
One section is equal to 1 ______
Square foot
Square meter
Square nautical mile
Square statute mile
One foot is equivalent to how many hands?
2
3
4
5
The radius of the Earth’s orbit around the Sun (the average distance between the Sun and Earth) is known as
Lightyear
Astronomical orbit
Astronomical unit
Steradian
The astronomical unit is approximately equal to
100 million km
125 million km
150 million km
175 million km
Absolute zero is
0 o C
0 o F
0 R
0 K
The gravitational constant G is equivalent to ______ N.m 2 /kg 2
6.67 x 10 -9
6.67 x 10 -10
6.67 x 10 -11
6.67 x 10 -12
1 BTU is equivalent to how many Joules
1054
1045
1036
1064
The pressure of 1 torr is equivalent to how many Pascals?
100.0
133.3
166.7
200.0
1 horsepower is equivalent to how many Watts?
764
476
674
746
1 electron volt is equivalent to how many Joules?
1.603 x 10 -19
1.602 x 10 -16
1.602 x 10 -14
1.602 x 10 -12
Which is not equivalent to 1 atm?
1.013 x 10 5 Pa
1.013 bar
14.7 psi
1000 kg/cm 2
The value of (3 3 ) 2 is
54
81
243
729
The number of board feet in a plank 3 inches thick, 1 foot wide and 20-foot length is
60
120
360
720
The following type item, which is common to both the fixed and operating cost of an enterprise is
Interest
Depreciation
Taxes
Supplies
The center of gravity of an isosceles triangle whose height H is on the median line
2/3 from the vertex
1/3 H from the vertex
2/3 H from the vertex
¾ H from the vertex
The number of the board feet in a plank 2 inches thick, one foot wide and 20 feet long is
400
20
40
Power
The nearest whole number to the value of 2/3 (700) 2/3 is:
312
1,243
12,433
54
Ninety degrees is equal to
1,500 radians
3.142 rad
1.57 rad
1,000 rad
The standard acceleration due to gravity, g is equal to:
64.34 ft/sec 2
32.2 ft 2 /sec
980 ft/sec
35.30 km/hr/sec
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
5 ft
240 inches
305 cm
6.2 meters
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
5 ft
240 inches
305 cm
6.2 meters
Circular pitch times diametral pitch equals
∏
1/∏
1.0
∏ 2
A general principle in the motion of a body can be stated as follows (F = force, M = mass, V = velocity, ∆ = change, T = time)
FT = MV
F∆T = MV 2
FT = M∆V
F∆V = M∆T
In mechanics, if mass (M), length (L), and time (T) are selected as primary units, force (F) will have the following equations
F = MLT
F = MT 2 L -1
F = MLT -2
F = ML -1 T -2
For a simple beam supported at each end and which is uniformly loaded
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
The use of carbon in steel
Increases the hardness
Increases the ductility
Increases the resistance to shock
Decreases the resistance to fatigue
The loss of the weight of the body submerged in a fluid is
Proportional to the depth of submergence
Equal to the weight of the fluid displaced
Independent of the specific gravity of the liquid
Proportional to the weight of the body
The difference between the book value and the actual lower resale value is
Sunk cost
Savage value
Fixed cost
Resale value
It occurs when a unique product or service is available only from a single supplier and entry of all other possible suppliers prevented:
Inventory
Monopoly
Competition
Profitability
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
Theorem
Corollary
Axiom
Postulate
The side opposite the right angle of a right triangle
Median
Apothem
Quadrilateral
Hypotenuse
An instrument for measuring specific density of fluids
Hygrometer
Flowmeter
Clinometer
Hydrometer
Output over input
Annuity
Efficiency
Rate of return
Bond
The volume of a circular cylinder is equal to the product of its base and altitude
Corollary
Postulate
Axiom
Theorem
A statement of equality between two ratios:
Theorem
Proportion
Valuation
Power factor
A plane closed curve, all points of which are the same distance from a point within, called the center is
Radius
Circle
Arc
Chord
Which of the following is the definition of the Joule?
A unit of power
A Newton meter
A kg m/s^2
A rate of change of energy
What is the equivalent expression for sin2x?
½ sin x cos x
2sin x cos(½ x)
(2sin x) / sec x
-2 sin x cos x
The series expansion for cos x contains which powers of x?
0, 2, 4, 6, 8, . . .
1, 3, 5, 9, . . .
1, 2, 3, 4, 5, . . .
½, 3/2, 5/2, 7/2, . . .
All of the following statements about photons are correct, EXCEPT:
Photons are small quanta of electromagnetic energy
Energy of photons varies according to E = hf, where h is Planck’s
Photon energy varies with source intensity, i.e. A bright light source emits photons of lighter energy than a dim source
Velocity of photons in vacuum is c, the speed of light, 3 x 10^10 cm/sec
A one-candle power light source radiates luminous flux at the rate of
1 lumen
2 lumens
∏ lumens
4∏ lumens
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
P(1 + r/m)^r
P(1 + r/m)^(n/m)
P(1 + r/m)^m
None of these
In the formula P = F(1 + i)^-n is called the
Sinking fund factor
Single payment present worth factor
Single payment compound amount factor
Capital recovery factor
A fund established to produce 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 = 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]
Which of the following relationships between compound interest factors is NOT correct?
Single payment compound amount factor and single payment present worth factor are reciprocals
Sinking fund factor and uniform series compound amount factor are reciprocals
Capital recovery factor and sinking fund factor are reciprocals
Capital recovery factor equals sinking fund factor plus the interest rate
In determining the average annual cost of a project, the formula [(P – S)/n] + (P – S) (i/2) [(n + 1)/n] + Si
Sinking fund depreciation plus interest on the first cost
Straight line depreciation plus interest on first cost
Straight line depreciation plus average interest
Capital recovery with a return
An “annuity” is defined as
Earned interest due at the end of each interest period
Cost of producing a product or rendering a service
A series of equal payments occurring at equal periods of time
Total annual overhead assigned to a unit of production
If the sine of angle A is given as K, what would be the tangent of angle A?
aK/h
hK/a
ha/K
oK/a
In finding the distance, d, between two points, which equation is the appropriate one to use?
d = square root [(x1 – x2)^2 + (y1 – y2)^2]
d = square root [(x1^2 – x2^2) + (y1^2 – y2^2)]
d = square root [(x1 – y1)^2 + (x2 – y2)^2]
d = square root [(x2 – x1)^2 + (y2 – y1)^2]
The equation y = a1 + a2X is an algebraic expression for which the following choices?
A cosine expansion series
Projectile motion
Projectile energy
A straight line
What is the name for a vector that represents the sum of two vectors?
Scalar
Resultant
Tensor
Moment
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 cycloid
An epicycloid
A hypocycloid
A helix
All of the following statements about the electron structure of atom are correct, EXCEPT:
Electrons of highest energy are located in the outer orbitals
Each orbital can contain one electron
K, L, M, etc. Shells are designation representing the principal quantum number n = 1, 2, 3, etc.
Each shell may contain up to n^2 orbitals, but not exceeding
All of the following are characteristic of waves, EXCEPT:
Energy of wave varies with the square of its amplitude
Interference is interaction of waves. The observed effect is based on the principle of superposition
Wave frequency changes on entering a medium where the velocity of propagation is changed
Diffraction, or bending of a wave, occurs around the edges of obstacles.
