Reviewer Presentation

8/13/2019 Reviewer Presentation

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Mechanical Engineering

Review Materials: PSME Code
http://www.tupmechanical.com/2009/07/mechanical-engineering-review-materials.htmlhttp://www.tupmechanical.com/2009/07/mechanical-engineering-review-materials.htmlhttp://www.tupmechanical.com/2009/07/mechanical-engineering-review-materials.htmlhttp://www.tupmechanical.com/2009/07/mechanical-engineering-review-materials.html


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1. As a requirement for permit

application, for any installation

involving machine, mechanical equipment,

general layout plan for each floor drawn

should not be less than

a. 1:200

b. 1:500

c. 1:1000d. 1:100


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2. Standard sheet sizes formechanical plans and drawings shall

be based on a width to length ratio

of

a. 1: sqrt (2)

b. 1:sqrt(3)

c. 1:3d. 1:2


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3. For commercial and industrial buildings, workrooms (referring to maintenance shop andmachine room) shall be at least _______ heightfrom floor to ceiling.

a. 3 000 mmb. 2 000 mmc. 5 000 mm

d. 4 000 mm


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4. For guyed steel stacks, the angle between

the stack and guy wireis usually

a. 30

b. 45 c. 60

d. 75
http://en.wikipedia.org/wiki/Guy-wirehttp://en.wikipedia.org/wiki/Guy-wire


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5. It is a heavy wheel which by its inertiaassists in securing uniform motion

of machineryby resisting sudden changes ofspeed.

a. cartwheelb. flywheelc. motor

d. shaft
http://en.wikipedia.org/wiki/Machinehttp://en.wikipedia.org/wiki/Machine


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6. The extension of piston rod passing through astuffing box in the outside area of an enginecylinder, compressor cylinder or pump cylinder.

a. tail rodb. pinc. hub

d. sprocket


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7. Type A sprocket has

a. one hubc. no hubb. two side hubs

d. bolted hubs


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8. The reciprocatingmachine part within a

cylinder is called

a. ram

c. slide mandrelb. plungerd. all of the above
http://en.wikipedia.org/wiki/Reciprocating_enginehttp://en.wikipedia.org/wiki/Reciprocating_engine


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9. Fixed-mounted or movable hood guardscovering the length of run of power chains.

a. coupling guards

c. belt guardsb. chain guards

d. hood guards


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10. A boom type mobile crane mounted on endlesstracks or thread belts.

a. gantry crane

c. locomotive craneb.jib craned. crawler crane
http://en.wikipedia.org/wiki/Gantry_cranehttp://en.wikipedia.org/wiki/Crane_(machine)http://en.wikipedia.org/wiki/Crane_(machine)http://en.wikipedia.org/wiki/Gantry_crane


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11. A mechanical contrivance for raising or

lowering a load.

a. craneb. hoist

c. roped. chain


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12. A horizontal arm for supporting a trolley or fall

blocks which does not change its inclination withthe horizontal.

a. clevis

b. boom

c. hoodd. jib


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14. Two hand signal for crane movement hold both

arms horizontally at sides fully extend and moveupward & return.

a. stop

b. lowerc. hoistd. swing boom


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15. In elevatorsystems, a device designed to stop adescending car or counterweight beyond its lowest

limit of travel.

a. bumper

b. buffer

c. dumbwaiterd. hoist way
http://en.wikipedia.org/wiki/Elevatorhttp://en.wikipedia.org/wiki/Elevator


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16. The minimum factor of safety for suspension

wire rods with 1 500 feet per min (fpm) passengerelevator.

a. 7.6

b. 9.5c. 10d. 11.9


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17. A closed vessel in which steam or vapor isgenerated at a pressure of more than 1.055 kg/cm2

gage by direct application of heat.

a. portable boiler

c. locomotive boiler

b. miniature boilerd. power boiler
http://en.wikipedia.org/wiki/Fire-tube_boilerhttp://en.wikipedia.org/wiki/Fire-tube_boiler


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18. Method of testing boiler integrity that uses x-

rays to generate & record on film the imperfectionsor defects in the boiler tube material & welds.

a. metallurgical replication

c. vacuum testingb. ultrasonic thickness gaugingd. radiographic testing


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19. In the fire protection, class of fire in ordinarycombustible materials such as cloth paper, rubber &

many plastics.

a. Class A

b. Class B

c. Class Cd. Class D


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19. In the fire protection, class of fire in ordinarycombustible materials such as cloth paper, rubber &

many plastics.

a. Class A

b. Class B

c. Class Cd. Class D


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20. An underground formation that containssufficient saturated permeable material to yield

significant quantities of water.

a. aquifer

b. water table

c. porous layerd. well


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21. Pipe color for acetylene.

a. yellow

b. greenc. oranged. red


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22. In metrology, it is a device used to determinewhether the part has been made to the tolerance

required and does not usually indicates a specificdimension.

a. bevels

c. gageb. dial indicatord. trammel
http://en.wikipedia.org/wiki/Dial_indicatorhttp://en.wikipedia.org/wiki/Dial_indicator


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23. In manufacturing, process of making molds for

the plastic and die casting industries.

a. intraforming

c. infiltration

b. swagingd. hobbing


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24. A copper-silicon alloy available in five slightlydifferent nominal compositions for applications

which require high strength, good fabricating, &fusing qualities.

a. inconel

c. everdurb. moneld. babbit


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25. In instrumentation, it is a device whosefunction is to pass on information in an

unchanged form or in some modified form.

a. programmable logic controller(PLC)

c. pilot light

b. controller

d. relay
http://en.wikipedia.org/wiki/Programmable_logic_controllerhttp://en.wikipedia.org/wiki/Programmable_logic_controller


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PAST MECHANICAL BOARD EXAM

QUESTION: Machine Design Set-1(solutions and answers)
http://www.tupmechanical.com/2009/11/past-mechanical-board-exam-question.htmlhttp://www.tupmechanical.com/2009/11/past-mechanical-board-exam-question.htmlhttp://www.tupmechanical.com/2009/11/past-mechanical-board-exam-question.htmlhttp://www.tupmechanical.com/2009/11/past-mechanical-board-exam-question.htmlhttp://www.tupmechanical.com/2009/11/past-mechanical-board-exam-question.htmlhttp://www.tupmechanical.com/2009/11/past-mechanical-board-exam-question.htmlhttp://www.tupmechanical.com/2009/11/past-mechanical-board-exam-question.htmlhttp://www.tupmechanical.com/2009/11/past-mechanical-board-exam-question.html


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Past Mechanical Engineering Board Exam Question Number 1A 4 inches diameter short shaft carrying 2 pulleys close to the bearingstransmits how much horsepower if the shaft makes 120 rpm.

A.200HP B. 199 HP

C.198 HP D. 202 HP

P = (D3N )/38 -- for mula for short shafts from PSME code

P = (4)3(120)/38

P= 202 HP


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Past Mechanical Engineering Board Exam Question Number 2An instrument that measures the hardness of the work piece in terms of

elasticity.

a. Durometer

b. Scleroscope

c. Mohs's Scale

d. Brinell Tester

Source: Machinerys Handbook


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Past Mechanical Engineering Board Exam Question Number 3A cylindrical tank with 15 in inside diameter contains oxygen gas at 3000psi. Calculate the required wall thickness in (mm) under stress of 25,000

psi.

A.11.44mm B. 22.86mm

C.15.36mm D. 15.86mm

S = PD/2t -- thin walled vessel formula

25000=3000(15)/2t

t=0.9 in x 25.4 = 22.86 mm


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Past Mechanical Engineering Board Exam Question Number 4The minimum clearance allowed for meshing spur gears with a circular

pitch of 0.1571 and diametral pitch of 20. The spur gear has 25 teeth.

A. 0.003578 B. 0.007855

C. 0.007558 D. 0.007585

Clearance = 0.1571/Pd

= 0.1571/ 20

= 0.007855


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Past Mechanical Engineering Board Exam Question Number 5

SAE steel that responds to heat treatment:

A.SAE 1060 B.SAE 1030

C.SAE 1117 D.SAE 1020

The principle is: the more carbon content, the more responsiveto heat treatment the steel would be.


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Past Mechanical Engineering Board Exam Question Number 6The differential of the shear equation is which one of thefollowing:

A. load of the beam B. slope of the elastic curve

C. bending moment of the beam D. tensile strength ofthe beam


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Past Mechanical Engineering Board Exam Question Number 7To reduce cost in the manufacturing of large worm gears the

materials to utilize:

A. alloyed aluminum rim with cast iron spider

B. bronze rim with cast steel spider

C. cast iron rim with bronze spider

D. all of these


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Past Mechanical Engineering Board Exam Question Number 88. The _____ test is used for determining the hardness of metallicmaterials consists in applying a known load to the surface of the

material to be tested through a hardened steel ball of known diameter.

a. Shore

b. Vicker

c. Brinell

d. Rockwell

Source: Machinery's Handbook


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Past Mechanical Engineering Board ExamQuestion Number 9

It is hardening treatment whereby a cast metal isbeing heated to a very temperature thensuddenly subjected to rapid cooling to improvehardness is called:

A. normalizing B. quenching

C. tempering D. annealing

Source: Design of Machine Elements by V. M Faires


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Past Mechanical Engineering Board Exam Question

Number 10Determine the estimated weight of an A-36 steel plate of

size 3/16 x 5 x 15.

A. 515 lbs B. 625 lbs

C. 485 lbs D. 575 lbs

Density of steel = 0.284 Ib/in3

Weight = (3/16) (5x 12) (15 x 12) (0.284) = 575 lbs


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Past Mechanical Engineering Board Exam Question Number 11Split pulley or pulley made of separate section boltedtogether at the rim, the maximum speed should be limitedto about _____% of the maximum speed of solid pulley,

A. 45 to 50% B. 65 to 70%

C. 55 to 60% D. 80 to 90%


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Past Mechanical Engineering Board ExamQuestion Number 12Killed steel is very much associated with:

A. manganese B. phosphorous

C. sulphur D. silicon

Sulfur is the most commonly used deoxidizer for

steels.


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Past Mechanical Engineering Board Exam QuestionNumber 13

It is a measure of the ease with which a crackprogresses through a material from an existingnotch, crack, or sharp corner.

A. Creep Rate

B. Brittleness

C. Notch sensitivity

D. Moh's Scale

Source: Machinery's Handbook


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Calculate the estimated weight of a steel platesize 1/4 x 5 x 8.

A. 480 kg C. 100 kg

B. 186 kg D. 409 kg

Weight = (1/4) (5x 12) (8 x 12) (0.284) = 575 lbs/2.2= 186 kg


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Past Mechanical Engineering Board Exam QuestionNumber 15A type of welding whereby a wire or powder fromthe nozzle of a spray gun is fuse gas flame, arc orplasma jet and the molten particles are projected inform of a spray by means of compressed air or gas.

A. electro-slug building B. plasma-arcwelding

C. electro-beam welding D. metal spraywelding

Source: PSME Code


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Heating of metal above the criticaltemperature and then cooling slowly usuallyfurnace to reduce the hardness and improve

the machinability is called:

A. normalizing B. tempering

C. annealing D. quenching


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Past Mechanical Engineering Board Exam QuestionNumber 17

Accident prevention is:

A. an association of employers, organization andindividuals

B. a job of a safety engineer

C. the foreman's responsibility just as much asproduction

D. the responsibility of top management

Accident prevention is everybodys responsibility.


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Past Mechanical Engineering Board ExamQuestion Number 19Commonly utilized/cheapest shaft materialavailable in the market with carbon cont 0.28

to 0.34% C.

A. SAE 4140 B. SAE 1030

C. SAE 1117 D. SAE 4130


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Past Mechanical Engineering Board Exam QuestionNumber 2020. Continuing changes in dimensions of a stressed

material over time is called ____.

A. Aging

B. Embrittlement

C. Creep

D. Deformation

Source: Machinerys Handbook


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1. A steel rod 40 mm in diameter 800 mm long cannotextend longer than 41.5 mm. Find the maximum allowableload it can carry in Newtons. E for steel is 200 GPa.A. 471240B. 600000

C. 188495D. 712440

Solution:Y=PL/EA

P=YEA/LP=1.5mm (200000N/mm2)(3.1416)(40mm)^2/(4)(800mm)P=471240N


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2. A simply supported beam 3m long has a loadof 3KN 1 m from the left support. Calculate themaximum moment.

Mmax=Fab/LMmax=3KN(1m)(2m)/3mMmax=2KN-m

A. 2.25 kN-mB. 2.0 kN-mC. 4.5 kN-mD. 6.0 kN-m


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3. Calculate the maximum deflection of a 12 m beamwith fixed ends if the load applied on it is 3KNlocated at its center. (I=4,200,000 E=200 GPa).

Y=PL^3/192EIY=3000N (12,000 mm) ^3/192 (200,000N/mm2)(4,200,000mm4)Y=32.14 mm

A. 128.6 mmB. 32.14 mmC. 0.17 mmD. 0.27 mm


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4. A 40mm short shaft has is rotating at 300RPM. Calculatethe power capacity.For short shafts: (PME Code)P=D^3*N/38P-in hp

D-inchesN-rpmP= (40/25.4) ^3(300)/38P=30.83hp (0.746hp/kw)P=23 KW

A. 30.83 kWB. 23 kWC. 16.34 kWD. 10.93 kW


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ANSWERS to Mechanical

Engineering Board Exam

Questions in FLUID MECHANICS
http://www.tupmechanical.com/2010/02/answers-to-mechanical-engineering-board.htmlhttp://www.tupmechanical.com/2010/02/answers-to-mechanical-engineering-board.htmlhttp://www.tupmechanical.com/2010/02/answers-to-mechanical-engineering-board.htmlhttp://www.tupmechanical.com/2010/02/answers-to-mechanical-engineering-board.htmlhttp://www.tupmechanical.com/2010/02/answers-to-mechanical-engineering-board.htmlhttp://www.tupmechanical.com/2010/02/answers-to-mechanical-engineering-board.html


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1. In fluid mechanics, it is the ratio of the areaof the vena contracta to the area of thesmaller pipe.

Answer: A. Contraction coefficient


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2. When the Reynolds number of a fluid flowis 3500, the flow isAnswer: C. Intermediate between turbulent

or laminar (corrected)


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2. When the Reynolds number of a fluid flowis 3500, the flow isAnswer: C. Intermediate between turbulent

or laminar (corrected)


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4. It is the common name for the rattlingnoise heard inside the pipe as a result theinstantaneous rise in the fluid pressure.

Answer: C. Water hammer


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5. It is flow pattern where a fluid flows inconcentric circles with no radial flow.Answer: B. Vortex


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6. In an open channel flow (open channelrefers to flows with free surface), what is theoptimum channel shape for maximum flow

rate?Answer: C. Semi-circular


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7. Which factor(s) affects the flow regime(laminar or turbulent) of a fluid in a pipe?Answer: D. Both a and b


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8. The greatest contributor to the head lossesin pipes is

Answer: C. Length of pipe


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9. What will happen to the buoyant force ifthe density of the liquid is decreased?Answer: B. decrease


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10. For a partially immersed body, the pointat which the line of action of the buoyancyforce cuts the vertical centre line of the

floating body in the displaced position isknown as theAnswer: B. metacenter


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Answers to Statistics andProbability Part 1:

Mechanical Engineer Board

Exam Review
http://www.tupmechanical.com/2010/10/heres-solution-and-answers-to-me-board.htmlhttp://www.tupmechanical.com/2010/10/heres-solution-and-answers-to-me-board.htmlhttp://www.tupmechanical.com/2010/10/heres-solution-and-answers-to-me-board.htmlhttp://www.tupmechanical.com/2010/10/heres-solution-and-answers-to-me-board.htmlhttp://www.tupmechanical.com/2010/10/heres-solution-and-answers-to-me-board.htmlhttp://www.tupmechanical.com/2010/10/heres-solution-and-answers-to-me-board.htmlhttp://www.tupmechanical.com/2010/10/heres-solution-and-answers-to-me-board.htmlhttp://www.tupmechanical.com/2010/10/heres-solution-and-answers-to-me-board.html


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1. In how many ways can you arrange a group of 5girls and 3 boys in 7 vacant chairs?Solution:The total number of persons to be seated is 8 and

the number of chairs is only 7.When words denoting arrangement are used, itmost likely pertains to permutations.So, the formula to be used is permutation of 8 taking7 at a time.

n = 8, r = 7, nPr, then use your calculator or thisformulanPr = n!/(n-r)! = 8!(8-1)!=40320 permutations orarrangementsA. 40320


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2. How many 3-digit numbers can you make outof the numbers 1 to 5 without repetition?Solution:Since the number varies as you rearrange the

digits (example 1342 is different from 1423), thenthis problem is about permutation.So, the formula is the permutation of 5 numberstaken 3 at a time.n = 5, r = 3, nPr; use your calculator or thisformula: nPr = n!/(n-r)!nPr = 5!/(5-3)!=60 permutationsC. 60


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3. There are 2 white, 3 red, and 4 blue balls inside a basket. Ifthree balls are drawn randomly in succession withoutreplacement, what is the probability that the first ball is white,and the next two balls are blue?Solution:

The probability that the first ball is white is Pw = 2/(2+3+4)=2/9The probability that the second ball is blue isPb1=4/8 =1/2; we changed the denominator since the totalnumber of balls has been reduced.The probability that the last ball drawn is blue again isPb2 = 3/7; we reduced the total to 7 and the number of availableblue is down to 3.The probability that all this happen in correct succession is:Pwbb = (2/9)(1/2)(3/7)=1/21D. 1/21


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4. What is the mode of the followingnumbers: 54, 45, 75, 60, 65, 65, 60, and 57?Solution: the mode of a given set of numbers

is the most frequent number; in this casethose numbers are 65 and 65, both occurringtwice.

D. 60 and 65


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5. From the given numbers on question number4, what is the median?Solution:The media is the number that divides the upper

and the lower half of the samples.To find the media, arrange the data in ordereither increasing or decreasingIn this case: 45 54 57 60 60 65 65 75;Since the number of samples is 8 (even), we haveto get the average of the two middle samplesMedian = (60+60)/2 = 60B. 60


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6. From the given numbers of questionnumber 4, what is the variance?Solution: variance is the measure of how

much does the samples deviate from themean or average. Variance (^2) is given bythe formula ^2= [(x-ave)^2/(n-1)] or useyour calculator

Average = 60.125^2= [(x-ave)^2/(n-1)] = 77.84A. 77.84


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7. Seven boys are to be seated around a circulartable. How many arrangements can be made?Since no indication as to the number of seats

available, lets assume that it is equal to thenumber of boys, 7Again, this is a permutation problem, but thistime, in circular arrangementThe formula for circular permutation is given bynPr (cyclic) = (n-1)!So, nPr (cyc) = (7-1)! = 720D. 720

8 In how many ways can you arrange 3 boys and 4 girls in a


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8. In how many ways can you arrange 3 boys and 4 girls in a7-seater bench supposing that the four girls want to beseated together?Solution:

Since one group wants to be together, then we will useconditional permutation techniques.In this case, because the girls cant be separated, lets treatthe girls group as one person or block.The permutation of the boys and the group of girlstherefore has the total number of n= 4, that is 3 boys plus 1girls block.The number of arrangement possible is given by nPr =4P4=24Remember though, that the girls can be rearranged as longas they are together, therefore, the total permutation

inside the girls block is nPr = 4P4=24.Combining the two permutations we have nPr (total) = (24)(24) = 576C. 576


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10. From question number 9, what is theprobability that you will either be late or scoldedby your boss?Solution:

This is an OR condition (the condition is valid ifonly when one of the two conditions happened)and is not mutually exclusive (meaning the twooutcomes may happen at the same time: beinglate and being scolded)The formula to be used is: Paorb = Pa+Pb Pa&bPaorb = 0.35+0.15-(0.35)(0.15)=0.4475Paorb = 44.75%C. 44.75%


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ME Board Reviewer: Math,

Algebra, Computation (ANSWER

and SOLUTION)

1. Which of the following is the solution set of the equation
http://www.tupmechanical.com/2010/10/me-board-reviewer-math-algebra.htmlhttp://www.tupmechanical.com/2010/10/me-board-reviewer-math-algebra.htmlhttp://www.tupmechanical.com/2010/10/me-board-reviewer-math-algebra.htmlhttp://www.tupmechanical.com/2010/10/me-board-reviewer-math-algebra.htmlhttp://www.tupmechanical.com/2010/10/me-board-reviewer-math-algebra.htmlhttp://www.tupmechanical.com/2010/10/me-board-reviewer-math-algebra.html


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x2-2x-15 = 0Solution:Think of factors of the last digit that when subtracted givesthe coefficient of the middle termIn this case, -15 can only be (3, -5), (-3, 5), (15, -1) or (-15, 1).Among these factors, (3, -5) is the only one whose sum willbe equal to -3. So the solution set of the equation will beX-5=0; x1 = 5X+3=0; x2 = -3

Alternative Solution:By trial and error (best when using your calculator), try eachchoices and see which among them when substituted to xwill make the equation true, that is, x2-2x-15 equals zero.

B. (5, -3)


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2. The next term in the progression 2, 8, 32, 128is Solution:The progression above is a Geometricprogression since there is a common ratio (r). Inthis case, the common ratio is 4 and the nextterms are obtained by multiplying the previousterm by 4. So, next to 128 will be 128X 4 = 512

C. 512


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3. Solve for x in the equation 3 lnx = 8Solution:Using properties of logarithm: nlna = lna^nIn this case, lnx^3=8

By making both sides an exponent of e (Eulersnumber), we can cancel the ln.e^(lnx^3)=e^8x^ 3 = e^8x= e^ (8/3)

A. e^ (8/3)


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4. If x + y = 1 and x2+y2=2. Find x4+y4Solution:Squaring both sides of x+y =1 we get (x+y) ^2=1^2;x2+2xy+y2=1;

But x2+y2=2 so 2+ 2xy=1 or xy=-1/2;Square both sides, 4x2y2=1; x2y2=1/4Lets square both sides of x2+y2=2; (X2+y2) ^2=2^2then x4+2x2y2+y4 = 4;But x2y2=1/4 so, x4+y4+2(1/4) =4

Solving the equation will give us X4 +y4 =7/2

D. 7/2


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5. If lnx=5 and lny=2, lnx3/lnx4Solution:Using properties of logarithm; lnx3=3lnx and

lny4=4lnySo lnx3/lny4 will be 3lnx/4lny = 3(5)/4(2) =15/8

B. 15/8


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6. Joan can type the whole document in 3 hrs. On theother hand, James, being new to the job can typethe same document in 5 hours. If they worktogether, how long can they finish 2 documents?

Solution:rate of Joan 1/3; rate of James 1/5Rate=no job/time time = no of job/rateIf they work together, their rate will be addedt= 2 jobs/ (1job/3hrs+1job/5hrs)

t=3.75 hours

D. 3.75 hrs


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7. Three numbers are in the ratio 1: 2: 4. Find thenumbers if their sum is 42.Solution:add the ratios 1+2+4 = 7

Divide the sum of the numbers by the sum of theratio; 42/7=6Multiply 6 by each ratio. The numbers will be 6,12, and 24

A. 6, 12, 24


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8. Find the sum of the coefficients in theexpansion of (5x-4)^5Solution:

To find the sum of the coefficients of anexpansion, just replace the variable by 1 inthe expression.In this case, (5x-4) ^5; [(5(1)-3] ^5=32

D. 32


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9. Evaluate the expression log 3+ log 2+ 4log7Solution:use your calculator

Note: When theres no base mentioned, it isautomatically considered to be 10.

D. 4.16


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10. The sum of the infinite geometric progressionis 3 and the common ratio is 1/3. What is the firstterm?Solution:

For an infinite Geometric progression, the sum isgiven by the formula S=a1/r where S is the sumand r is the ratio.In this case, the Sum and the ratio were given sousing the formula we can get the first term.a1=Sr; a1=9(1/3) =3

A. 3


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MECHANICAL BOARDEXAM REVIEW:

ENGINEERING ECONOMY
http://www.tupmechanical.com/2010/06/mechanical-board-exam-review.htmlhttp://www.tupmechanical.com/2010/06/mechanical-board-exam-review.htmlhttp://www.tupmechanical.com/2010/06/mechanical-board-exam-review.htmlhttp://www.tupmechanical.com/2010/06/mechanical-board-exam-review.htmlhttp://www.tupmechanical.com/2010/06/mechanical-board-exam-review.htmlhttp://www.tupmechanical.com/2010/06/mechanical-board-exam-review.html


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1. It is the quantity of production when theincome equals total cost.a. Satiation point

b. Breakeven pointc. Optimal production pointd. Point of production


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2. The length of time required to recover thefirst cost of an investment.a. Break-even period

b. Payback periodc. Return of investment periodd. Payout period


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3. Common term for the certificate ofindebtednessa. Stock

b. Loanc. Bondd. Mortgage


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4. It represents ordinary share in ownership ofthe corporations capital without specialguarantees of return.

a. Preferred stockb. Special stockc. Common stock

d. Stock option


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5. A type of bond where the name of theowner is recorded in the books of thecorporation. Interests are periodically sent to

him without claim action.a. Coupon bondb. Registered bond

c. Bond paperd. Corporate bond


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6. A type of business organization where twoor more persons associate to engage for abusiness.

a. Single proprietorshipb. partnershipc. Cooperative

d. Corporation


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7. A type of business organization which is adistinct legal entity capable of businesstransactions like a real person.

a. Cooperativeb. Single proprietorshipc. Corporation

d. Partnership


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8. In a partnership type of business, what willhappen if one of the owners dies?a. The partnership will continue

b. The partnership will continue as long as thedead member has been replaced.c. The partnership automatically dies

d. The partnership will become corporation.


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9. It is the decrease in value of a property dueto the passage of time.a. Degradation

b. Depletionc. Depressiond. Depreciation


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10. It is the length of time during which aproperty may be used for profit.a. Useful life

b. Physical lifec. Fiscal lifed. Economic life


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Answers to Statistics and

Probability Part 1:

Mechanical Engineer Board

Exam Review
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1. In how many ways can you arrange a group of 5girls and 3 boys in 7 vacant chairs?Solution:The total number of persons to be seated is 8 and

the number of chairs is only 7.When words denoting arrangement are used, itmost likely pertains to permutations.So, the formula to be used is permutation of 8 taking7 at a time.n = 8, r = 7, nPr, then use your calculator or thisformulanPr = n!/(n-r)! = 8!(8-1)!=40320 permutations orarrangementsA. 40320


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2. How many 3-digit numbers can you make outof the numbers 1 to 5 without repetition?Solution:Since the number varies as you rearrange the

digits (example 1342 is different from 1423), thenthis problem is about permutation.So, the formula is the permutation of 5 numberstaken 3 at a time.n = 5, r = 3, nPr; use your calculator or this

formula: nPr = n!/(n-r)!nPr = 5!/(5-3)!=60 permutationsC. 60


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3. There are 2 white, 3 red, and 4 blue balls inside a basket. Ifthree balls are drawn randomly in succession withoutreplacement, what is the probability that the first ball is white,and the next two balls are blue?Solution:The probability that the first ball is white is Pw = 2/(2+3+4)=2/9The probability that the second ball is blue isPb1=4/8 =1/2; we changed the denominator since the totalnumber of balls has been reduced.The probability that the last ball drawn is blue again isPb2 = 3/7; we reduced the total to 7 and the number of availableblue is down to 3.

The probability that all this happen in correct succession is:Pwbb = (2/9)(1/2)(3/7)=1/21D. 1/21


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4. What is the mode of the followingnumbers: 54, 45, 75, 60, 65, 65, 60, and 57?Solution: the mode of a given set of numbers

is the most frequent number; in this casethose numbers are 65 and 65, both occurringtwice.

D. 60 and 65


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5. From the given numbers on question number4, what is the median?Solution:The media is the number that divides the upper

and the lower half of the samples.To find the media, arrange the data in ordereither increasing or decreasingIn this case: 45 54 57 60 60 65 65 75;Since the number of samples is 8 (even), we have

to get the average of the two middle samplesMedian = (60+60)/2 = 60B. 60


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6. From the given numbers of questionnumber 4, what is the variance?Solution: variance is the measure of how

much does the samples deviate from themean or average. Variance (^2) is given bythe formula ^2= [(x-ave)^2/(n-1)] or useyour calculator

Average = 60.125^2= [(x-ave)^2/(n-1)] = 77.84A. 77.84


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7. Seven boys are to be seated around a circulartable. How many arrangements can be made?Since no indication as to the number of seatsavailable, lets assume that it is equal to the

number of boys, 7Again, this is a permutation problem, but thistime, in circular arrangementThe formula for circular permutation is given bynPr (cyclic) = (n-1)!

So, nPr (cyc) = (7-1)! = 720D. 720


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8. In how many ways can you arrange 3 boys and 4 girls in a 7-seater bench supposing that the four girls want to be seatedtogether?Solution:Since one group wants to be together, then we will useconditional permutation techniques.In this case, because the girls cant be separated, lets treat thegirls group as one person or block.The permutation of the boys and the group of girls therefore hasthe total number of n= 4, that is 3 boys plus 1 girls block.The number of arrangement possible is given by nPr = 4P4=24Remember though, that the girls can be rearranged as long as

they are together, therefore, the total permutation inside thegirls block is nPr = 4P4=24.Combining the two permutations we have nPr (total) = (24) (24) =576C. 576


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9. The probability that you will arrive late is 35% andthe probability that you will scolded by your boss is15%. What is the probability that you will be bothlate and scolded by your boss?Solution:The problem doesnt mention that the cause ofbeing scolded is caused by you being late. With thatwe can treat those two events as independent fromeach other.The probability that the two independent events willhappen can be obtained by getting the product ofeach probabilities.Pa&b = (Pa)(Pb) = (0.35)(0.15)=0.0525 = 5.25%A. 5.25%


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10. From question number 9, what is theprobability that you will either be late or scoldedby your boss?Solution:

This is an OR condition (the condition is valid ifonly when one of the two conditions happened)and is not mutually exclusive (meaning the twooutcomes may happen at the same time: beinglate and being scolded)

The formula to be used is: Paorb = Pa+Pb Pa&bPaorb = 0.35+0.15-(0.35)(0.15)=0.4475Paorb = 44.75%C. 44.75%


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Board Exam Review: ME

Laws Questions
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1. Prior to Republic Act 8495, what lawgoverns the practice of mechanicalengineering the Philippines?

a. Republic Act No. 5124b. Commonwealth Act No. 294c. Commonwealth Act No. 293d. Republic Act No. 2934


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2. If the rated scores of an examinee in aboard exam are 85, 82, and 48 in Math,Power, and Design subjects respectively

(average: 72.85%), what will be the overallresult?a. Passb. Fail

c. Removal examd. Deferred


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3. Which of the following is NOT a qualificationfor being a member of the Board of MechanicalEngineering (BME)?a. Must be at least thirty-five (35) years of age

b. Naturalized or born Filipino citizenc. Has never been convicted of any offenseinvolving moral turpituded. A Professional Mechanical Engineer with avalid professional license and an active

practitioner as such, for not less than ten (10)years prior to his appointment


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4. A foreign mechanical engineer may only beallowed to practice mechanical engineering inthe Philippines if his country also allows

Filipino mechanical engineers practice undersimilar provisions like those in RA8495. Thispolicy is also known asa. Foreign Reciprocity

b. Foreign Reciprocalityc. Foreign engineer exchanged. Foreign affairs


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5. According to RA 8495, where will thebudget to implement MechanicalEngineering Law come from?

a. Local Budgetb. Foreign fundingc. National Budgetd. From members of PSME


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6. A plant with rated capacity 500 kW requires with 3shiftsa. At least one(1) registered mechanical engineer orProfessional Mechanical engineer for all three shifts

b. At least two(2) registered mechanical engineer orProfessional Mechanical engineer for all three shiftsc. At least three(3) registered mechanical engineer orProfessional Mechanical engineer, one per shiftd. At least four (4) registered mechanical engineer orProfessional Mechanical engineer, one per shift plusone (1) as a buffer


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7. Who has the power to revoke or suspendlicense to practice mechanical engineering inthe Philippines?

a. Any PSME officialb. Board of Mechanical engineeringc. PSME president and chairmand. PRC chairman


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8. An applicant who fails to pass theexamination for the third time shall beallowed to take another examination only

after the lapse of ____a. Two yearsb. Six monthsc. One year and six mothsd. One year


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9. In addition to the administrative sanctions

imposed under RA8495 any person who violates

any of the provisions of this Act and its rules and

regulations shall, upon conviction be penalize bya fine of not less _______ nor more than Two

hundred thousand pesos (P200,000.00).a. 50, 000 pesos

b. 75, 000 pesosc. 100, 000 pesos

d. 150, 000 pesos


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10. Minimum requirement in teachingmechanical engineering subjects inuniversities and colleges in the Philippines

a. Doctoral Degree related to mechanicalengineeringb. Masters Degree in Mechanical Engineeringc. Registered Mechanical engineer

d. Graduate of Mechanical engineeringcourse


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Mechanical Engineering

Review Question: Mechanics

(Answers and Solutions)
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1. A 20kg block is resting in a horizontal surface.Calculate the force required to move it if thecoefficient of static and dynamic friction are 0.75and 0.6 respectively.

Solution:F= (COF) NN=W=mg= (20kg) (9.81m/s2)F= 0.75 (20) (9.81) ; use static COF if the body is

at restF= 147.15 N (B)

2. A 100kg object is sliding over a surface with static and dynamic coefficient of friction values of 0.5 and 0.3respectively. If the initial velocity of the object is 10m/s, how long will it travel before it completely stops?Solution:


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FBD

Assuming dynamic equilibrium:

Summation of horizontal force:REF-Fr=0REF=FrREF= (W/g) (a)Fr= (COF) (N)

Summation of Vertical forces:

N=W(W/g)(a)=(COF)(N)a/g=COFa= (COF) (g)

Note: Use dynamic COF value since the body is already in motion.

a=0.3 (9.81) = 2.943 m/s2a=-2.943 (negative, because the body is decelerating)

Using the rectilinear motion equation:V^2= v0^2+2aSS= (V2-v02)/ (2a)

Since the final velocity is zeroS= (0-10) ^2/ (2) (-2.943)S=16.989 m (A)


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3. A 1kg ball is tied at the end of a 1.5m long rope andthen rotated at the speed of 100 RPM. Calculate thetension on the rope.

F=ma;a=v^2/r (normal acceleration for revolving bodies)v= (pi)(D)(N)/60=2pirN/60v=2(3.1416)(1.5)(100/60)v=15.708 m/sa= (15.708)^2/1.5a=164.5 m/s2F=1(164.5)F=164.5 N (D)


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5. A missile is fired from North Korea and istargeted towards South Korea. If the distancebetween the two countries is 100km and thefiring angle is 45 degrees, at what velocity should

the missile be fired to reach its target? Assumenegligible air resistance.

From projectile derived equations:

Range=v0^2 (sin2X)/g100000m= (v0^2) (sin(90)/(9.81m/s2)V0=990.45 m/s (C)


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6. Calculate the polar moment of inertia of a30 cm diameter circular board.

J=(pi)D^4/32J=(pi) (30 cm) ^4/32J=(3.1416)25312.5 cm^4J=79521.6 cm^4


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7. A 20mm thick, 50 cm in diameter wheel madeof cast iron (density: 6.0kg/cu m) starts rotatingfrom rest and in 1 minute, attained an angularspeed of 200 RPM. Calculate the angular

acceleration in rad/s2?= (- 0)/t0=0 (from rest)=200 rev/min (1min/60s) (2pi rad/rev)

= 20.944 rad/s = (20.944 rad/s)/ (60s) =0.349 rad/s2 (B)


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8. A 2kg ball starts rolling down from the topof a 100m-high hill towards the plains.Calculate the final speed of the ball when it

reaches the foot of the hill. Assume negligiblefriction.

V^2=v0^2+2as; a=g=9.81m/s2

V^2=0+2(9.81) (100)V=44.294 m/s (D)


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10. A 2kg object with a velocity of 10m/s hits a3kg object at rest, sticks with it and movetogether in the same direction. Find the resultingvelocity.

Conservation of momentum

m1v1+m2v2= (m1+m2) (v)

v= (m1V1+m2v2)/ (m1+m2)v= (2kg (10m/s) +3kg (0))/ (2kg+3kg)v = 4m/s (C)


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Mechanical EngineeringReview Questions: Materials

and Heat Treatment Part
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1. A term referring to steels that has beendeoxidized completely.a. Rimmed Steel

b. Killed steelc. Deoxidized steeld. Cold steel

Rimmed steels are incompletelydeoxidized.


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2. Because of physical or chemical changes,some metals lose their ductility. What termrefers to this process?

a. Embrittlementb. Hardeningc. Red shortnessd. Cold shortness


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3. This is a property of some materials thatenables them to accommodate hugedeformation without breaking/rupture.

a. Malleabilityb. Plasticityc. Ductilityd. Toughness


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4. A type of cast iron in which most of theCarbon is chemically combined with iron.a. Nodular Cast

b. White Cast Ironc. Pig Irond. Gray Iron


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5. Substances that wear other substancesthat is softer than itself.a. Abrasive

b. Corrosivec. Sandpaperd. Sandstone


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6. An aluminum ore.a. Hematiteb. Magnetite

c. Corundumd. Bauxite


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7. The most commonly used material forsprings.a. Hard Drawn

b. Stainless Steelc. Chrome-Vanadiumd. Music wire


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8. The referring to the brittleness of steelwhile it is red hota. Cold Shortness

b. Hot shortnessc. Red shortnessd. White Shortness


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9. Materials that has the same properties inall directions.a. Isotropic materials

b. Homogeneous materialsc. Heterogeneous materialsd. Orthotropic materials


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Answers to Board Exam ReviewQuestions: Power Elements
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1. It is an apparatus used to obtain thevolumetric chemical composition of thegaseous by-products of combustion.

a. Bourdon Gageb. Orsat analyzerc. Manometerd. Calorimeter


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2. A term used to refer to a concrete foundationformed by continuous pouring of cement andletting the entire mass dry as one unit.

a. Composite foundationb. Reinforced concrete foundationc. Foundation

d. Monolithic foundation


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3. In power plants, if you want to measuresmall differences in pressures, what is thebest instrument to use?

C. Manometer a. Bourdon gage

b. Sphygmomanometer

c. Manometerd. Orsat analyzer


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4. Which of the following is not a majorfunction of air-conditioning?

a. Control the temperatureb. Control the humidityc. Control the air movement

d. Control the mass of air in the space


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5. This material is used to seal the piston rodto prevent leakage from the pump.

a. sealb. Packingc. Shield

d. Glue


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6. You want to know the grindability of coal,what apparatus you should use?

a. Hardgrove apparatusb. mortar and pestlec. hammer

d. shovel


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7. It is a straight line that indicates therelationship between steam consumptionand the turbo-generator load.

a. Saturation lineb. Super heated linec. Willans lined. Williams line


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8. The period of time for one half of the massof radioactive material to disintegrate.

a. Lifeb. Curiec. Becquereld. Half life


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9. In power plant engineering, what do youcall the power intended to be available evenunder emergency situations.

a. Firm powerb. Prime powerc. Cold reserve

d. Hot reserve


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10. In nuclear power plants, what do you callthe enclosure usually made of concrete orlead that absorbs any leakage of radiationfrom the reactor?

a. Thermal shieldb. Biological shield

c. Geiger shieldd. Radioactive barrier


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Materials and Heat

Treatment Board Exam

Review
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3. Annealing in such a way that some or all ofthe carbon is precipitated as graphite.

a. Graphitizingb. Spheroidizingc. Age Hardeningd. Precipitation Hardening


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4. It is used to designate the relatively softcentral portion of certain hardened toolsteels.

a. Coreb. Nucleusc. Centrod. Heart


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5. It is the prolonged heating of a metal at aselected temperature.a. Annealing

b. Temperingc. Age hardeningd. Soaking


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6. In heat treatment process, it is the criticalor transformation point at which pearlitestructure is transformed into austenite

structure.a. Recalescence pointb. Decalescence pointc. Incandescence point

d. Phosphorescence point


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7. A case- hardening process whereby steel isheated in a carbon rich environment.a. Nitriding

b. Carbonitridingc. Carburizingd. Carbonizing


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8. A term used to refer to the product of theblast furnace and is made by the reduction ofiron ore.

a. Pig ironb. Cast Ironc. Nodular Cast irond. Wrought Iron


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9. It is a type of steel that owes its distinctiveproperties chiefly to the carbon it contains.a. Carburized Steels

b. Alloy Steelsc. Carbon steelsd. Cast Steel


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10. It is the deterioration of a material or itsproperties due to its chemical reaction withthe environment.

a. abrasionb. wearc. corrosiond. galling


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1. A reserve generating capacity that is inoperation but not in service.A. Hot reserve


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2. Another term for Lower Heating Value(LHV).C. Net Calorific Value


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3. In a refrigeration system, it controls theflow of refrigerant manually.C. Gate Valve


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4. The ratio of the dynamic depression headto the total head of a pump.A. Cavitation factor


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5. A device used to determine the water levelin the boiler.D. Gauge cock


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6. A device in the fuel system that mixesgasoline with air.A. Carburetor


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8. Which of the following is true in pH value?C. pH 7 represents neutral value


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9. Reversible adiabatic expansion is atconstantC. Entropy


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10. The temperature at which vapor startsforming above the surface of liquid fuels.B. Flash point


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1. A term referring to the process of clearingexhaust gases by forcing into it a current ofair which provides clean air for the next

compression stroke of the engine.A. Scavenging


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3. A large pipe or drum into which a group ofboiler is connected.B. header


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4. An ideal gas undergoes an isothermalcompression, the enthalpy therefore,D. Remain the same


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6. Which of the following is NOT a unitmeasure of viscosityD. Degree Baume


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7. Energy from the random motion ofmolecules within the bodyC. Heat


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8. Term referring to the ignition of air fuelmixture in the intake of the exhaust manifoldA. Backfire


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10. Internal combustion engine works on thefollowing engines EXCEPTD. Rankine


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Documents

Reviewer Presentation