REE Questionaire 2009 Philippines

8/9/2019 REE Questionaire 2009 Philippines

1/80

ELE

TRICA,t

CNGINCCRING

REVIEWER

2009

20ro


2/80

,

prol.essional

Regulatio,.,

iornn.,irrion

Manila

,ItrGISTERED

ELECT_R|.CAL

ENGTNEERS

Board

Examinarion

Saturday.

August

14,

,201

0

lNsrRucrlo*.ffiffi

ffffi,lffifor

each

or

irre

fouowr".s,lr:ti*s-

Mark

gl4leneins,er

for

sr*

et

p,o"{ded.

ai*

i

a

n}

rJ

ffiT,relTt"m:u**

;'iia;i-ffi;il

l

$6ULTIPT.E

C}IOICE

1.

'l-he'tead

h

a

had

nenc$js

-

A bons

blacr(

Q,

eranhite

and

day

C.

bad

oxkJe

2- Horypany

arams

are

representeij

in

2.50

mor

of

ti2.c?

b4s.0

8.21.7

c.43.e

3. The

ternp.,r,rru

of

p

body

k.-T-o*g

F..FinC

ils

$cperat.rre

in

deg

C.

14r.6

:

-s..ts.o

-

Fiffi:*

D,

32.4

t'

*EI-#[L:,ffi:

bar

is

loaded

in

tensi'ro

uv

"

ro.r.

or

12

kips.

Derermine

rho

normar

slress

A 5.5

8.6

c.2.6

'

t 36:rffi#;ffi{C'#ffi,'il'ffiffii;"

15

mph

":3:bve,

roa


3/80

I.t[,rGl

S'IERED

ELECTRICAL

ENGt

t\tEERS

li;rtrrrday,

August

14,

2010

Board

Examination

1:00

p.m.

--

5.00

p

rn

,.'*gl_N.j;

E&r]{Q_Eli _q

hrq

EslNs

A uEQ

r rrgJrc:La

lii'A

prr:jectile

is

launched

uprward

lrorn

level

ground

at

an

angle

of 60 deg

with

the

horizontal,

lt

lras

an initiat

velocity

of 45

m/s.

How

long

will

it

take,Lrefore

$re

projectile

hits"the ground?

A"

4.1

s

B.

5_B

s

C-\

n.gq

r;

D.

9.Sj

s

l6'

A

container

ship

has a

horizontalcross-sectional

area

of 3C00

sq,

m,

at

the

centee.line.

when

par,y

filled,

the

draft

of

9.2

m is

reac:h.

upon

removal

of

tlre

load

irre

ship

rises

g.o

m what

is the

-.;'rPPreximate

weight

of

the

ship?

l\ssume

salt

water

weigtnt

density

of

f

O 1flrc"

*.

A.

5000

B. 4000

C.

3000

D,}OOO

/

17. Prefix

10^-r5

is

A.

pico

atom

is

A.

13

A.

0.38

cm

21.

A

capillary

tube

of

intemal

radius

0.25

mrn

is

dipped

into

water

of

.

.:.llow,frigh

does

the

water

rise

in

the

tube?

@.

femto

D.5

surface

tension

72

dyneslcnr.

D.

5.88

crn

of

25,000

psi.

Find

the

elongation.

D.

0.65 in

B.

atto

B.

4.66

cnr

C.

nano

c.8

C.

8.22

cm

18.

whgt

is

the demand

branch

circuit

for

4

kw

cooktop

and

two

5 kw

ovens?

A.

7.2

kW

B.

8.0

kW

C.

g.0

k\/V

D.

B.B

kW

ll).

Mediurn

voltage

cable

insulations

is

ratecj

for

volts

or

higher.

4.600

B.

1000 -U r30

D.

2001

20'

A1

atom

of

be;yllium

consists

of

4

prctons,

5

neutrons,

and

4

eleictrons.

The

mass

rrumber

of

this

)

22'

The

annual

amount.of

a series

of

payments

to

be

made

ai

the

end

of

each

of the

next

twelve

vears

is

P

5000'

what

is

the

pregent

worth

of

the

payrnent

,lE

interest

compound

;;;;;,tyi-"rYE

'YEdr

>

,4,.

p

50,000

q)p

37,680

c.

p

61;000

d.

p

o+,eoo

23'

when

oxygen

combines

w1$

an

r:lement

to

form

a compound,

the

resulting

compound

is called

A"

a

salt

B_,)an

oxicJe

C. cxiciation

D.

an

oxalate

24.A

100"

long

aluminum

bar

is

s;ubjected

to

a tensire

stress

(E

=

10

x

10

raised

to

6

ps[

A_

0.025

in

(_l)o.zs

in

C.

0_45

in

25'

A

very

large

conducling

plate

has a

lurface

ct.arge

tlensity.


4/80

NTGISI-ERED

ELECTRICAL

ENGII,IEERS

::i,iiiurday,

August 14,

2A1O

Board

Exanrination

1:00

pr.nr.

-

5:00

p.rn

."i

?'$",4'

man

q-ays

P

15,C00

annually

starling

at the

end

of the

5th

year

until

at

the

encj

of

the

1Oth

year,

5:r

2rC,000

annually

at

the

end

of

the

11th;ear

until at

the

end

of

the

156

year,

ancl

p

35,000

annually

for

the succeeding

5

years.

With

10%

interest,

wlrat

annuity

should

he

pay

lorZ0

yeais

to

scttle

that

amount

equally?

A.

p

16,bs0.26

B"

p

10,625.24

c.

p

14,208.2s

G,

,2,40s.23

\/

3$"-At

what

angle,

in

degrees,

should

a

roaci

be

slantecl

to

prevent

an

automoblle

traveling at

25 m/s

li'';irn

tending

to

slip?

'fhe

radius

of

curvature

is

200

rn.

A.22

B.2O

c. 18 n:,/

9116

31. A

mass

of

5 slugs and

one_of

7_l


5/80

'

.,r

;i

r

il'j'[:Rf;

D

ELECTRICAL ENGINEERS

,::;,ii

:ltj ,, August 14,

2010

Board

Examination

1:00

p.rn.

-

5:00

p.m

:'t

+::,.j.l

HS

481

NG

SCI

E {C ES

AND

ALl,-l

E:D

SU

BJ ECTS

t

l1r-r

qnsity

of

zinc is

455

lb/cu.

ft. Frnd

the

mass

in

grams

of

9.00 cc.

of zinc.

r".

S5.6

B.

56.5

C. 46.5

D.

85.6

l-)

')+..i.'l-he

nrolality

of

a

solutionof

ethyl

alcohol.

CzHsOH,

in water

is

1-54

moUkg.

How many

grams

of

A. 192

r

B.

1BB

,/C'..rt7l

D. 162

'rlj.Ilia.

The exponent

n ls

equalto

1.45

forthe

process.

DetermineJhe

power.

{.

36,58a

hp

B.

39,428

hp

c.

3z,agz

lrp

(

O.}O,ZOa

np

50"

An automobile

of

mass

50

slugs

is'

t6v*1inn

at

30

fl/sec.

The

driver

applies

the

brakes

in such

a

uray

that

the

velocity

decreases

to

zero

according

to ther

relation

v

=

vo

-

k

(t

squarcd),

where

Vo

=

30 fUsec,

k

=

0.30 fUctt..Eec,

ancl

t

is

the

time

in

seconds

after

the Uraies

are

applied.

FinA

tn"

r:)ijrrllant

force decelerating

the automobile,

s seqafter

the

brakes

are

appliec.

A.

--120

tb

B.

_:.140

tb

c)

_1

50

lb

D.

_190

tb

:"''

"*ENDfiT

SIJ.BMIT

THIS

TE{JT

QUESI]ON

SET'TOGETHER

WITIJ

THE

ANSWER

SHEET

TO YOUR

WATCHERS.

BRINGING

THE

TEST

QUESTION

SE-I-OUT

OF

T;.IE

ROOM

WILL

BE

A

GROUND

FOR

DISCIPLINARY

ACTION"


6/80

R[::G

ISTERED

ELE:CTRICAL

ENGI

N L:E

RS

li.:h.rrday,

Augr:st

14,

2010

Board

Examination

1:00

p.m.

-

5:00

p.m

i . ll

.it

ilI

q8lNq

JclExgEgrA

N

p

a

L

Lt r:

D

s

u

B J

ECrs

4:).

-l'helqnsity

of

zinc

is

455

lb/cu.

ft.

Frnd

the

mass

in

grams

of 9.00

cc.

of

zinc.

/4..

9s.6

B.

56.5

c. 46

5

D.

85.6

\--l

14'The

molality

of a

qolutio,n_o{

ethyt

alcohol,

C2HsoH,

in

water

is 1.S4

lnol/kg.

How

many

grams

of

..

A.

192 r

B.

1BB

:.c)1177

D.

162

4ij'

ilow

much

centripetal

for,ce

is

needed

to

keep

a 160-lb

movirrg

in

a

circle

20

ft in

radius

at

a

velocity

,rf

lr) fUs?

/r"

20

tb

(

B.ys

tb

c.

30

tb

D.40

tb

\_-/

4ri'

1\

um*ill

boy

pumpi

up

.his.

bicycle

tires

on

a

day

r,vhen

the

tenrperature

is

s00

K.

Find

the

tirtnperature

of the

air.in

the

bicycle

purnp

if the

tira

pressurcs

are

to

be

24.5 b/sq.

in.

and

the air

in

the

pump

is

assumed

to be

comprer;sed

adiabati


7/80

illi{i

I srE RED E LEC-rR

lcAL

ENG

I N

E E

lls

P re-Board

Exan rination

lirrr:r;lay,

August

15,

2010

8:00

a.m.

*12_:00

n.n.

i;i.r,;{X&9SLE[$ t

e

E

ru

u

e

p.

Jto

r

ES

s

t

o

1i,I$TRUCTION:

Select

the conect

answer

for

each

of

the

fcllowing

questions.

itark

g y-e,g

insvrbr

for

each

item

by

shading- l1e

box

c.orrespcnding

to

the

retteibflyfur;oic

answer

sheet

providerj.

STRICTLY

No

ERA:}URE$

ALLoWED.

G--p.;ilIll1'o,";

':..

nly.

.

...;i.: ,

..

MULIPI.E

CFIOICE:

:

1,

Find

the

resistance

of 50 m

of

tungsten

(p

=

5.5

x

10{

C-m)

wird

having

a diameter,of

O.B

mm

at

20

tiegree

centigrade.

A"

4"38 r}

@s.+z

o

c.4.s2

0

D.

5.s1

O

2'

A 15 HP.

230

o 1B-0^C

rpm

shunt

mc,tor

has

an

efficiency

oi

90%

at

fullJoad.

The

rr:sistance

of

the

fi*ld

is

440

ohrns.

What

is

the

ftrll-load

armature

current?

A.

54.75

A'

B.

51j26

A

c. {i3.54

A

D.

56.02

A

3.

A

three-phase

w)/e-connecled

wound

rotor

synch:'Jnous

g:nerator

rated

at

10

kvA.

230

v

has

synchronous

reattance

of

1.2

ohms

pe-

phaie

an.J

armaiure

resistance

cf

0.S,

ohrn

per

pnase.

VWtat

is

the

power

factor

such

that

the

voltage

rggrulaiion

at

rutftoao

is zerj?

-

A"

0.837

leading

B. 0.894

terading

-

igh.eOg

tearcting

D.

0.BIT

teading

4"

The

primary

function

of

a fuse

is

to

.

4

open

the

circuit

$

prevent

elxr.essive

currents

C.

protect

tlre

line

.

D.

protect

tlre

appliance

c.27

are

1 ohm,

VZ

H,

$ouer

danrped

D.28

and

Jl2

F.

Detemrine

the

type

of

D.

crltlcally

damped

5.

Three

inductan,ces

L,

=

20.2

mH,

L2

=

20.g

mH

and

L:

=

40.0

rnH

are

connected

in

parallel.

Find

the

equivalentindu,ctance.

^

A

160

mH

($a

*n

c.

o.Bo

mH

D.

Bo

mH

6.

A

balanced

three-phase

source

serves

three

loads;

Load

'l':

24'kW,

0.6

lagging

p.f.

Load

2

: 10

kW.

unity

p.f.

.

Load

3 :

14 kVA,

0.g

leading

p.f-

lf the line-voltage of

the

load

is

209 v rms at 60

Hz, find the

line

cuner _

4143A

B.

13eA

c. 141

A

"@rszn

7

'

fui

equal

number

of

electrons

is

placed

on

two

metal

s;;heres

3.0

cm

apart

ln

air.

l-low

many

"

electrons

are

on,

each

sphere

if the

iesuttant

force

is

< [Ni

A.1.47

x 1011

erectrons

d

i.is;

10r{ erectrons'

B.

1.33

x

101i

etectrons

O.

t.+O

x

tiitn;iil;;;

8'

A

typg

of electronics

communication

in $/hich

only

one

party,transnrits,at

a

time.

A Fullduplex

B.

Hatf

duptex

C. Aic.;m

'

--'"-"'&;i,ilj;_

9'

A

series

circuit

consists

of

lhree

reslstors

R ,

R"

and

Rs

wlrlch

are

connected

to a

24a

vsource.

lf

the.voltage_drop

across

Rr

is

60

\,when

$ie

iunenti-e

e

and

R2:

i.aRr,

wtrat

is

the

ohnric

resistance

FL?

A1s 1 @e

1Q.

The

parameters

for a

parallel

RLC:

circuit

damping

exhlbit

by

tho clrouit.

A normally

damped

B.

under

clamped

1 1'

A

240 v

shunt

rnotor

delivers

30

HP

at

the

shaft

at

1

,120

rpm.

lf

the

motor

has

ah

efficiency

of

85%

at

this

load,

calculate

the

tqlal input

power.

A.2s.7

kw

1po

i rw

@zo.s

rw

D.

2s.1

kw

12'

eonsider

a

system

with

sequence

impedances

of

Z(+)

=

jo.zszr

p.u.,

z(-)

=

j0.20gs

p.u.

and

Z(o;

=

j0'

14

p'u.,

determine

the

fault

current

at

phase

A for

single

line

to

ground

fault at

A.

A.

-j6.4

p.u.

B.

-is

p

u

'

C.

j1r

j.u"

D,

j5

p.u.

I


8/80

I?E:GISTERED

ELEC'TRICAL

ENGINEEIRS

Board

Examination

$unrJay.

August

15, 2010

8:00

a.m.

-

12:00

n.n.

.i*f;$IBlEAt

EIgIIIEBlllclgoFEsistoN{L

suBJECrs

' 3"

T&r,e

ccmn:only

used light

$ensor

in

ar

nEorjerrr

fax

machine

g

fi.re

-@Photo

ttibe

i^

,-h,rm*

,8.

pr.:oto

tr-ansrsicL

'-'

cnarge

cocJDte

devlee

.

D,

iiqlu[c

cirystal,

dis5ela5r

"t4'

A'

her'"metie

rfiotor

cornpressor

has

a rated

load

current

ef

60

A-

wirlat

is

tr:e

e[lorvahle

a.afing

ci

the

5i-arreh

cireuit

cverfo*d

protectior.t

of

al

fuse*?

15'

uetarmine

the

kvA

rating

of

each

:tr11qf.oyer.

in

an

open

derta

bank

serving

a

Salanced

three,

hase

load

of M;gs

kVA

;t

230

v and

g0%

tagging

p.f.

--

-

"l

A. 40

B.

so

-:$n.s

D.

30

1s'

$uppose

that

you

wish

to

fabricate ;a

uniforrn

wire

out

of

1.00

g

of

copper-

tf

the

wlro

ls

to

havo

a

reslstance

of

.0'50

ohm,

atnd lt

all

the

rcpper

is

to

be

used,

whlt^wrlr

6i

thadiameter

of

this

wire?

Resistivity

of.copper

is

1.70

x

10{

o-m.

Mass

o"nsiti[;.;i;

loii;ia;.ure

el

A'

270

mtrcrometers

B.

260

micrometers

c. ziro

riCriii"tlri'"$zeo

rnicrometers

1c;.+

A. 102

-8.

140

A

B.

120

*C,

XOC:i

D. ESA

6sz

c-

153

D.204

I /-

li/lrat

is

the

device

function

number,f

an

ac

circurt

breakef?

A.48

8.50

c.46

1B'

Four

3*c

charges

are

at

the

comers

oj

"

I

m

square.

The

hvo

charges

on

thb

left

eide

of

the

quare

are

positive'

The

two

cfiarge:;

on

the

right

side

ere

negativo.

vllhai

ls

the

field

E(mv/m)

at

the

rcnter

of

e.he

square

wherr

Cr

=

i?

J,."q-

Cr,

Ce and

Cs

all

in

parallel

",$,9

and_Cz

in

series

then

in

parallel

tb C,r

{y9,

TC

a.it

paralletthen

in

series

ro

Ci

P.

Cr,

C2

and

Cr allin

series

2?.

y/fig. :

the

full-toad

efficienry

of a

power

transf


9/80

REGISTERED ELECTRICAI-

ENGI

NEEFIS

Board

Examination

Su*',rclay.

August 15,

2010

B:00

a.m.

-'12:00

n.n.

,ii"{#

TRISAL

ENGINFER

?6.

An ABC

sequence

set of

v.

oltages

feerds

a batanced

three-phase, \rvye-wye

system.

The

line

and

the

load

impedan@s

are

1

+

il

O

and

16

+

j10

ohms.

respecti'vely.

lf

the

ioadvoltage

on

phase

A is

V*

=

1'10 v

rms wttlt

30 dgrees

angle,

determine

the

tine

volltage

of

the input.for

phases

A

and

C.

A.i121.0vmrs

(8.

10s

+i60.5vmrs

c,-10s+J60.svrms

D.-1z1.ovrms

a'l are auxillary transfomrers used

for

nretering

or operation of

auxillary equipment

1g)

ctLnent

tnlnsformers

D.

station

service

transformers

2i).

l\

gain

of

106

tirnes

in

power

is expressed

by,

_

A. 30

dE

'

E.

1200

dB

C. 120

drl

j

-".

:29,

A

200-kVA

irans 'rnner

has an

iron toss

of 1

kW

and

full-load

copper

loss of

2

kW.

Calculate

its

percent

load at

riiaxinrum

efficiency.

A.

86

8.

81

c .76

G

n

'30..A

generating

station-supplies.peak

loads

of

12,000

kW,9,OOO

kW,

and

6;000

klAr.

Catculate

the

rnaximum

ddmand

of

the

station

and the

eneryy

it

supjtiei;

in

a

year

tf

rc'Oiversity

factor

"nO

fti

average annual load

factor ls

1.2

and 0.7.

respee{ivelv. ,

.

"

4

A 32.400

lilv,

19 r976.s00

t$vl-{R

-i'92:.soo

t< v, i37,970,000

t$/HR

'

B. 32,400

klru,

8,279,200I$VHR

D.22,SOO

fiilV,

S,ZiA,Z50

I$VHR

31.

An ele;tric

kettle

rras

marked

500-w,

23Gv

and

was

found

to

take

15

minutes

to bring

1

kg

of water

r

3t

15

"C

to

tlte boiling

pclic

Determhre

the

heat

efficienry

cf the

ketle.

,

.

A.77o/o

.

.

Bi

B1olo

C-

79%

D

.

g3o/o

,e;"'

'

32.'l&ftat

is

the

frequency

of

an altemating

cunent.

if it

reaches

g0"

withinA.167

rns?

/

..

4.25

tlz

B. so

Hz

c.40

Hz

(.9)oo

Hz

33.

The capacitana:

bgtween

any

two cdnductors

of a

three-philse,

three-conductor

cable

is 2

pF.

The

cable

operates

at

11 kV

line

voltage

and

50 HZ.

What

is

tihe

charginQ

cunent

through

the cable

capacitance?

1'A.

6.91

A

B.

4

A

c. 2.31

A

D.

7.98

A

t

',

34. The

per

unil reactdnces

of

a

synchronous generator

arb

Xo

=

1.0,

&n

=

0.35,

and

)Q,,

=

0.2S.

The

generator

supplies

a

1.0

per

unlt

load

at 0.8

power-faclor

lagging.

Cilculate

tire

voltage

behind

the

transient

reactance.

t

A

l.7e

pu

B.

1:24

pu

.

'

C.

1.17

pu

.

@0.625

pu

3$.

An electricat

outlet constructed

so

tlrat moisture

will

not enter

the

enclosum

ls classffied

as

being

and

relays.

A dry

transformers

B. oil

immensed

transformers

A wattirproof

'

B.

nainpnoc,f

.

C.

uatertight.

iJ)oc ce

therproof

D.9CA

D. 940

rpm

..DTea

3$.ln

E

2*VA,

2,3001230,.

1O transformer

the

inon

arid

full-toad

copper

losses

are

respee*ivbly

3S0

.

aM

400

w.

Calcutate

the efficienry

at

hatf

load

g,R

p.f.

lagging.

i

--

A

ss.7%

B.9

.T% i'')bt.ti-

D.

e6.zo/o

-

./

3f-

The synchronous

p3$a1q

per

p-hase

of a

3


10/80

REGISTERED

EIEC.TRICAL

ENGINEE:RS

.$r-rnelay,

August

1li, 2010

Board Examin:rtion

B:00

a.m-

--

12:00

n.n.

40'

trtfhat

is

the rninimum

vatue

of

the

capacitor

needed

to

obtain

resonance

with

r

300

pH

coit

tr:

requencies

between

SOg.ctd

1.sOCl

kHZ?

A.37.6

pF

B\sz.o

nF

c.

83.9

pF

D.

33.e

pF

41'A

completely

transpos$

60.H2

three-phase

tine

hasJlat

horizontal

phase

spacing.with

10

m

etween adJacent

conduciors.

fne

conductcrs

,r"

.:,SSO,,)CO

cmil

eCSH

witn

S4l3

str;anijing

and

ith

GMR

of

0j352o

fL

une

length

is

200

k;.

Deterrnine

lrhe

rirre

irloucti"e

reactarrce

in

ohms

per

'nTl;o.u

,.r_',lro,-

a.

;;,

r))

2oz

rdrrue

rrl

onms

+ '

fl

hycrilulic

turbine

receives

water

from

a

reservoir

at

an

elevation

of

100

meters

above

it.

what

is

,,."\

.-

m*"tsitTum

water

flow

in kg

per s-econd

to

prcCuce

a

steady

turbine

output

of

S0 MW?

7[A.150,247

B.

50,672

C.

so,go6

D.

50,465_-t...

..

vv,evtr

LJ,

CUt

43'

A

1'00

kvA

transformer

is

connectetJ

to the

supply

line

24

hrs a

day.

ln

6

hrs

it delivers

gCI

kw

at

0.9

'

p'f';

for

4

hrs

it

supplies

25

kw

at

0.5

p.f.

and

i.ir

inu

*"t

of

the

day

it

operates

without

load.

lts

ccre

oss

at

rated

voltage

is

1,0o0

watts

and_itr

"opp"i

t"r

roi$l

rrrrio"o-q-;""nii"

t,ogo

watts.

what

is

he

allday

efficiency

of this

transfor,mer?

.\

A"

96.7oi

B.

g0.7ol, c.92.to/a @

no.zx

--"ffi,i:X:11ffi"?Lffi-#"fr:j}il,*"?:1l,lll-

300

an,d

o",,"J,,or,en

120

vorts

is

suddehry

36

H.

/.

{e.

z.s

n

--"6r

o.a

r_r

\o.

o.zs

H

4s.

which

of

the

fonowing

common*31ff;o"o*oonX.

iqnot

found

in

cs?

d

tnductors

g.

Diodes

B.

Resistors

D.

Low

capacitance

capacitors

46'

A

220

volts

single-phase

induction

rnotor

draws

cunent

of

10 amperes

at

0.7s

p.f.

A

capacitor

of

50

o

o

i

T.

",ff$i

"

"

"'r$t:J;[ili"

po*u'

i"to[Uf,mffi

flili#

tH*'

"

"'o'

o'

'17'

what

is

the

force

require'd

to

separate

two

surfaces

with contact area

of

150

sq. cm when the

flux

ensity

is

2

Testa

normal

to

the

surfaces?

"-"

wr

rtqu(

et

(ic

ur

r

.,

A.

10,100

N

B.

15,BoO

N

,@s,soo

ru

D.

35,050

N

48.

At

a 1'lS

kV

subsiation

flre

pT

ratio

s

1C00,ano

the.CT

ratiq

is

1200/5.

The

potentialgoing

into

the

attmeteris

115

volts-

\Altrat

is

the

l.,l t{

indicatea

whurt

th;;tt

-[7.""iJe00

wass?

A

1s0

MW

"

B.

192

rl,ljv

C.,ia

MW

D.

i9.2

t W

49'

t/vhat-is

the

totar

frux

emiffied

by

a

ramp

having

an

intensity.of

s0

canderas?

rif.sta

h

B.

liso

trn'

.

c.

gaiJ*

D..62B

tm

so'

n

+pol"

lap

gonnected.dc

,*

oo*,

an

armature

cunent

of

100

amps

al2o]votts.

The

motor

[Trf#H|ffi.e$,tr

armature

resistance

ir

o.z

o.

E"rJrntu-t[u'[il,"

devetopedi^

r-i-*

n

A.

145

Y\\/

Gt..

-

'\

l. v:

l"ig)

11:

.-0'l

-

''-

i

SI

6'oea

L./

\

.

B. 390

tlqls,il

c.467

h:')t-

-

r.L,

*..END*ir

ca

$IJBMIT

"T}{IS

TEST

QIJESTION

$ET-TOGEIHER

WI]H

THE

ANSWER

SI-IEET

TO

YOUR

TVATCHERS'

BR|f{GING

TtlE

TEST

QUESTION

sEfoui'oF

THE

RooM

wtLL

BE

A GRouND

FoR

ISCIPLINARY

ACTION.

}


11/80

Republic

of the

philippines

Professiona

I

Reg

ulaticrn

iomnrission

I,{anila

RtrGISTERED

fff'CfruCAl,

EIIGINEER

Liccnsure

Exrnnination

$alurday,

Aup 21,

2010

fuTAl}IEMATICS

08:00am.-01:00

p.m.

SET

B

{hlSTRI}Cl'toN:

SeleEt

the correct

answer

for

each

of

tli

following

questions.

M,ark

enlyjbg

fu)$wgl

for

each

itcmlty

shading

the

box

corresponding

to

tb

t.n"r

or"yJ.r;;;L

on

the

answer

she,xt

pneivided-

STRICTLY

No

ERASURES

nlr.owEo.

rse

pencit

ir.

z

,riy.

ptease

do

not

:e,r'#e

ffs"pf*

lag

on

thls

qucslionnalre.

s.tr{

trL,Tt}r

.8,

CTIOIC:E

i.

What

is the

integral

of

cosudu?

A.

sinu

+

C

B.

cosu

+

C

tZ

i

*,'.'

C..

-

sinu

C

({

v-'

D.

secu

-Fl

2-

i 'hat

is

the degrce

ofthe

differenriar

equarion:

I

4;r s*sin.r-x3sln

y=

3x4

uI

tlx'

C.

firurth

4ree

D.

tillh

rlsec

firs

&g


12/80

;--:"

,,;,',;

'

:1'"

F-inrl

the

arsa

of

thc

largest

rectangle

that

can

be

insr;ribed

in

a

semi-circle

of

radius,

10.

,-:_.:

:.

i;,:,;r1

l.?|:ti

c.so

r:l'';

B. 100

'

,.

7,

,'

''

'

i:."

t'.rt;li?it

of

z'l1ro

*

ra'':t)as z approa.rf.?tr_

|uyru,

,

1r'r,+illiTil',o^+

z+

r),,'

z

approa"X.tilllt',L,.

c.

(8r-

76W6s

B.

(-,{

-r

Nn

o.

isi

r

eynn

1,$,

,r{

space

oapsule

weighs

I00 kgs nt

sea ievel.

[t

rvill

b,c

orbitcd

around

the

eart]r

at

a

oonsLut

*trtitudc

of

5,0@

knu. How

long

(hours)

will

it

takc

lhe

satcllitc

to mrike one

odrit?

Assumo

r:arlius

of the caith

is

4,000

miles.

A.

3"Er

c.

224t

B.

4"58

D.

5.&l

3i5"

A

towcr

c,n

a

hill

is

200m away

from

a

mBrL [f

the

brlse of

the

toryer

is 51.91-degrees

and

Its

top

is

58.24

degrecs.

How

trigh is lhe

rower?

A.93.6

m

C.83.6

m

8.51.7m.

D.67-9m

.,

i6.

';/hai

is thc volumc

gencratcd

lyhen

'Ie

a-ea

behveecr),:

3x

+

4

and

y:

x

'is

generated

about

thc:x--axis

A 90n

C" 8O,r

8.70n

D.

60

n;

17. Theequivalent

of 9.5 x

lOto the

9

milcs in

yards.

r

A.

1.672x10 to the

13

C. 1.529r.10 to

the

13

B.

t.ll49xl0 to

the ll

D. 1.582x10

to

the

if

18" if the

lengtlu 2, 3, 5, 7 and

9

;arc

to

be

used to form

a

trianglc.

Wh-at

is the

probabiliry

that

a

**i':#

rormcrl?

c. 3/ro

8.4/l D.

3/s

19. .TwoparticleshavepositionsattimetgiVcnbythcoquations$l=t3=

t,

s2=6tZ-

3.

: :i

,

Fild

their velocitics when

thcy

havc

the

sannc

accchation

A. 2,4 C.

4,

g

B.

.2,9

D.

4,9

20"

tf

19

kilos.of

gold

loses

I

kiio;

and

l0 kilos

of

silver loses

I

kilo

when weigtred'in

water,

'

find r.be

weight

of

gold

in a

bar

of

gold

and

silver

weighing

106

kilos

in

air

and

99

kilos

in

waLcr

?

,

A.76kt1os

/

C.

B4kilos

D. 58 kilos.

55

kilos D. 58 kilos

.-

21" FinC

the

cubc

root

t>f 27.5

by

using

differentials.

a 3.0187

c:3.0186

, 8,3.0184

D.3.0185

22.

At what

point on the

y-axis

does

thc

line segrnent

joining

(1,

l)

and

(9,

7) subtend

t}e

greatest

ang.le?

A.y=3

C.y='4

B.-y:?

D-

y=

5

:

23. Find

thc

area

boun


13/80

.'

.,.ri_

s/he

n

the

second

derivative

of

t1c

cquar.ion

of

a

curve

is

negativcl

lh:

o'*"

at

that

point

is

n**n;r".

in

vhat

direction?

^

. .

^L

^

A.

to

the

Ieft

C.

to

rhe

right

IJ-

dowrwarcl

D'

uPward'

z{,,

A

*:tg

tin

sheJiras

a

wiottr

of

12

ft.

what

is

trre

r"ngolof

the

eqch

side

that

is

to

bs

folded

tr::'

r*iximrrnn

caPacitY'

n

r r'^.-

. A.3

feet

'

B.i.i?",

B.}fwt

.on

has

u.

fo"#i*iTgrqy

+

Cl

+

Dx

+

Ey'f

F:0.

If

27,

The

gencral

sccond degree

cquirilon

llas tne fetrrr

rL\

g'-

ieC

>

0,

the

equation

describes

u

,r"

;"rrJr"

c'

ur

elliPse.

B.

a

parabola

D'

a hYocitola

;1,$..

*\

building

is

to

bc.bracecl

by

nrsans

oru

u"u'io' t;ifi;P*t-

bver

a

wall'

It'the

wall

is 3-

3/8

feot

nign

ana

sta'ds

8 feet

ft;G

[r]iain'"

ru,o

&.Tlrrirtest

bcam

that

can

be

used'

B.

1?_7/8

ft

D.

[1-l/8.&

:.

. r

?,9.

n*t,t'*Jii

*

ny

lhr)

65

n

approaches

zero

n non-negative'

A.

I

"'

;'#il?

\t

27,",

2

30.

whrB"'$.

corresponding

clemc.rs

ot' rrvo

ro-Koi,

determinant

are

proportional'-then

the

value

of

the

determinurt

is

C.

one

4)'o:

r)"

unknown

ii.

multiplied

try

the

ratio

^:'"

T'-]:l': r .- o.a:r':i A

3

t-

Fin6

the

area

inside

tlre

cardic'id

{

=

a(l

'+

coso)

and

outside

the

31c1-

a

l':fii

''

,

A

On-;t{

c

,Y^*'

'..),,i.i.

:.

G,

(d4

+"21u:l

D't(2t3)*

,

,

'':

'

;'

32"

whar

is

tbc

urea

enclosett

by

'y

:3x

2

+

2x

+

't'

'1:'2

and'thc

a'16fi'-:--i;j-;

''

a

t

A

'uw

v*v'v'v-

'l

'/

@)

zo

i"

'v

D'

1

8.24

'

33.Asurrlcyof500telcvisionviewcrsproducedthcfollcwingresult''.

285

wiltch

fmtball

garnes

i

lgi

w*tcU

hockeY

ganres

'

:

'

''

It;

;;[ilk'iu'itlgu*"

i

'

r'

;

{5

watch

football

and

basketball

'

ZO

o'ut"tt

football

urd

hwkeY

50

watch

hockcY

and

basketball

;0

il

not

watctttmy

of

thc

three

games'

'

How

many

*"t"h

football

ganles

only?

A.?30

c-

t60

:

r

'

s.

zoo

(fl

rm

3q.

card

is

drarxn

from

an

ordinary

deck

of

52

dds.

Find

thc

probabitity

p$^t

the

card

is

a

face

card

or'heart'

/^

-

^.

I

A.

r/18

[Q itno

:

g.ltSz

Y't'/'

35.

water

&ains

from

a

hemisphericar

basin

of

dianrster

20

inches

at

the

rate

of

3

cu'

in'

per

second-

How

fast

is

thc

watct'*""i'r"tri"*;'fplt*ffi::*""r

is

5

inchcs?

A"

0.48

iry'min

.0.55

in/min

B'

0'g3

irlmin

D'

r

36.

A

sphrerical

balloon

is

belng

inflared

u,

,h:_,,11i10

cu'

fu

per;nin'

At

*te

instant

t'he

radiusi

i:;

15

ft'

at

what

rate

ts

the

surface

area

incrreasing?

y'.'.

6

cu'

fllmin

C14

cu'

fvmin

B-

5

cu"

fllmin

D"

3

cu'

fl/min


14/80

3:l'

Convert

to

cylindricat

coordinate

;system

given

the

rcutalgular

coordinates

(1,

-

l,

.-z)

A.

(l

,45a,,-Z)

C.

.tJi,

(;0o,

_

2)

,

s.

$lT,*450,

-

2)

D.

(t,

_

600,

2)

r

'j

r-i'

A

rectrurglc

is

irucriberl

in

an

equilateral

triangle

t"i,ti,

1j

.*iia.r,

such

that

cine

sides

of

Itrre

ractangle

rests

on

onc

side

oithe

triangle..

(S

zr,os

c

.z3.Ez

,

.

8:22.73

D.

t9.48

it.

rY

*

a^2c'os(jlO)

i.s

thc

equation

of

a

.{-nrsette

.-

@temrris:ute

'

B.

limacon

D.

carclioids

'lii.

lhq .bi:rectors

of

tlre

three

angles

of

a

triangre

rn.urui

u

o,*nro'

caled

the

;

.

4""

circumcentfir

C.

orthocenter

'-

---

-

:--

'I1'

;lipheres

of

the

same

diarneter

are;

piled

in

trrYrorm

oru

py**id

with

a

square

base

until

thcra

is

just

onc

sp-hcre

at

the

top

layer.

If

therc

*"

zs

sp['.r"r

uitrr"Lao*,

hnd the

total

number

of

spheres

in

the

pile.

'

'-

C,

IIO

D.

53

,12,

rinj

the

area

bret*'een

the

witch.y

,=

ga

311a2

+

4n

z)

a,rd

iis

asymptotc.

A.ZIZ

pi

C.

(3/2)a?

pi

t'.$*,34'J*n

orthe

circre

inscribed

in

rhe

ilSf*.i+d

by

the

lines:

Zx*.3y+1ll=0,

3x-2y-(i:0;

U+3yIg:g''

u.

.-,--

B.

,2

t

y2

-

6r-ty:8

fE

,z

*.'i?

y+-ri;r:'s

-

--

Find

thc

rectangrilar

equarion

of

curve

x

=

3

-

t;

y

:

1ij--*

A.

r2-I

+5:A

C. xZ

=

6x+l-7

B.

y2

:

7:t-6

D.

x2

=

..rxy

*

5

An

isoscclcs

trianglc

of

maxirnurn

&rca

is irucribcd in

an,

eilipsc

with

m6jor

ocis

l0

cm

and

minor

rucis

8

crn"

so

tl

9:

base

is parallel

to

the

major

ocis

and

trrr

opEirit"

vertex

on

at

*nd

of

the

minor

a"xis.

Find

the

area

of

Ue triangle.

A.

26

C.

24

B.

25

D.

20

A

numter

whir:h

cannot

be

the

rool.

of

an

integral

rational

iqwition

is

called

a

tsy

transcenclental

number

C.

irrational

numbcrs

.

B.

EuleCs

number

D.

nuural;";b.;

.

I'ttc

charactcristic

is equal

to

the

cx.Donent

of

10, when

tho

nurnbcr

is

wriuen

in

A.

irrational

C..

exponential

B.

scientific

noration

d

logUtf,mic

F'ind

the

area

of

a rriangle

whose

vcrrices

are

l,rcarcdlt

(3"

0,0),

(

0, 4,

0) and(O,0, 6)

,,\.

9.46

c" zt.sr

@

ro.re

a.iz.::,)

Find

the

equation

of

rhe

hyperboia

rvhose

asymptotes

are

y:

*

2x.antl

which

passes

rfuough

$n,3).

.

-

A

A.3r2.-f=e

(d4r2_f=t5

.B"

5x2

-f

,=

)5

n.Uz-.)p:4

FinrJ

the

sum

of

the

coefficients

in

thc

expansion

of

(x

_

3y),r.

A.

64,394

c,

_

5 t254

B.

-

32,768

D.25236

A.

125

8.55

'

,7

',)

44"

,|6,

d'7

48"

49.

50.

***F,Nn*rf*


15/80

Republic

of

the

philippines

,

professional

Regulatlo.,

io*riirrion

I',lanila

ft{-1

fi

}sl

EI{ED

E

l

- Ec) R t

c.,\ L I;N

(;I

N U ti

R r.,i

cr-.r

u

uru

Er:urrirur*

xr

F"{onda1'.

Feb.

15,

201(}

()2:(X)

a.m.-

():i:0t)

p.nr

frlATHEMATI(]S

SET B

NSISUCION:

Selecl

the

conercl

arrswer

for

each

of

[re

fbllorving

questions.

MarL.onlv.he a4srr.el lbr

ear'h*

{lenl

b1's}ratling

the

h|x

cor,responding

to

the

letrer

of your-ioi*"

on

the

ans\yer

sheet

pror.ided.

sTiql{:rLY

No

ERAsi.'lt'ES

A

LLOWED.

LJse pencil

no.

I

only.

ruosc

do

not

witc

oaything

on

this tlu",-

li,t,nnuira

stLiLTIPLE

CHOICE

l'

'4

rectangle

is

irscribed

in

an

equilateral

triangle

rrith

lo

cm

sides,

such thar

one

sides ol'rlrc

recuurgle'rests

on

one

side

of

the

trianglc

Detennile

the

area in

sq

cm. of

the

largest

possrlilc

inscribed

rectangtc.

--

-a

----'

A.

21.(r5

B. 22.71

A. 61pr/7

&

5l?p/5

.-1

l..itltt crrr

'

8.

-1.(ltxt

cin

'

A.

to the

lell

B.

dorrnrrird

A

(2.

{}

B-

(2,31

a 25CI

B.

272

7.

Find

&e derivatiye

of

cosh

:I4r.

A

-

l2cosh

r4.r

sinh

,lx

'ts.

4cosh

l{r

sinh

-l-r

2l.t{

2

19..18

C

768ptl7

D.

t)6ptl5

('

,.r,1)(ttt

crD

r

l).

I(r,(

i.xt

cnr

r

C.

to tlre nghr

D.

up*'ard

c.

(.t,

t)

D.

(1,2)

D. 23tir

C

3cc'sh

l4x

sinh

4x

D. I2r;osh24.rsinh

4x

c.

s6

D.2l

C.

(n-

lXn-2)

D.

(lf,l[3n^Z

-

3n)

C

t)

I

Find

the'olurne

gent:rated

b-r'rer

or'ing

rrrc

ivea

boundetr

br.r,

'

.r

l.

y

=

8.

-r

=

t)

about dte t'..-sr

'

Arechngular

tro-x

rt,

ith

cn

c)pcn

top

is

to hc

mede

frorri

a

picce

of cardboard

6()

cor.

square

br

curru:_,:

equal

sqrrarcs

litlnr,.:ach

c,OoICr

rttd

lrrrnrns

ull

thur

purtincnt

portions

olthe

carclboard to forn:

rh.,

sides.

Dgtcrrninc

b'culctrl,s

tllc

rrru.,rrrrur.,i

,,.rt,,n,*

cl'thr:

bor.

When

the

sL'ctxd

dcrir

attr

e

ol'thc cquation

of

a

qurvc

is

rrcgatire.

he curr.e at

that.point

rs

cogcii\

r,

in

siru

drecrion'l'

'''-

''>

5-

Find

the.point

of dre

cun'e.

r

=

.l-r

-

x

I

rr.hcre

ilre

cu* aturc

is

masimum

6.

fa

college

basketball

coaclr

hod

3 sorrs

in

a

l

2-plaver

tearn. in hon'

nuuy

\,r" s

can

he

select

rhe

llrsr

5

plal'ers

if

at least

2

of his

sons

i\-ere

inclurled

i

8"

Tlxrorbitofllallef

iCornr;{aroundlhesunisaneJtipscwidrrhcsun&safocusandeccenrricrt-r.e

=

0-9t57.

the

position

rr-hcre

the come i

is

closest

to

the

sun to the

position

n,here

it

is faitlresr

lronr

rhc

sun

is approsimatelr"

J^J6jl

ri

(

l0

the 96 pouer)

rnjle;.

Approximatetyhow

ctose

the

conrer

gers

ro

.

the

sy:r

in million

rniles.

.4.

l3

It).

.r

E

Thrlre are

n

couples

at

a

part)'.

Each

ntan

shrkes

hands

wit-h

everyone

else exo:pt hrs, sr:ouse

N,r

handshakes

talie

place

betn'een

\\'ornen.

l{orv

nranyhandshaJies

talic

place?

(a

a

pol.vrromial

func-

tion

of n)

Ani-t

lB"

n(n-

l)


16/80

ii) .'"1

1r-"

61111,y.

ol'hr:rlllrl

.f

ll

lxrrrgs

on

u

trull

rr

ttlt

llrc

truttont

of

thc painting

6ft aborle

tlru

llot-rr

I

lorr

lhr

fi*rtl thg

rvall

should

l.indsay

whosu

cl'cs

are

50

from

the

floor,

stand

in

order

to

get

d:e best

yicrr'

*flt-ile

pdiniing

(the

besl

vietv

occurs

r+'hen

he

ang.le

of

vision

from

rhe bonom

to

the rop of rhc

parnlrng

ma:timiz.rxl

)'l

A.3n

Ozn

s.zJR

D.2.?5fl

l

'

" ust

before rrudday

rhe

body of an apparent

homicide

victim

is for:1d in a room

thar

is kept

ar

a

constant temperature

of

70oF.At

l2

noon the tenrpcraturr:

of

thc

body is

B{F

and

at

I

P.

M.

it

is

75"F.

Assumc

that

the

temperctue

of

the

bodv

u the

time

oll


17/80

l,l

('lrrborr

cstrlrclctl

Iir)nl

ut)lurciuill

sIrrll

r

-''';:'i:l'#lll;?'"''.,;;;;'i"":

iil'ffi;', li:i:[]';11,il;;fi

radiou'l

r

c

'r(

rs

e

rri"r

tii.

I 6,61

x'r

urus

c'

l'1,735

y

ears

'-

,il1'J,"J];il?:i*''

of

arr

eripse

is

.r

ancr

'-,3;,];lli'Jl1

,,

3

rhe

disrance

riorn

ure

cc,)rer

r(,

A.

7.685

B.

4.J71

C.

(1.0.17

f"5"

r"ind

the

areo

enclosed

b.y

drc

cun.e

lr

= .r=_

".,.

,.rru

A

3/S

sg.

unirs '

-;

B.

u3sq.

unirs

C'

44isq.

unir

26'

water

otoi"l'rtom

a

hemispheric*r

basin.oidS;,{;t:rTL

,i

rhe

rarc

of

3

cu

in. per

seconrr

"Tfif#il"er

reren

i,,i,g

",t,Jie

deprh

oi,*r*

ilfr,.r,or

ts.0.83

i,;;

C.0.7ri

in/min

{?.

kr

resring

";;;;^

kind

or.truck,;r"

ou.r,

*f,g:;::;H:i

is

round

tharzlyoorrhc

rruck

rirrr

t,,

n:Hil1.fi,'*T,:J*11."''''c'ur

ut,,,"oui

oi,r.,r,ii-,

rii,r.r,r;;,;,

rurd

rhe

probabirirl,drar

,rr:rc

5

A.

0.46t3

B.

0.

t652

:9.

A

brig

corrrajns

-l

rc


18/80

l,l

('lrrborr

cstrlrclctl

Iir)nl

ut)lurciuill

sIrrll

r

-''';:'i:l'#lll;?'"''.,;;;;'i"":

iil'ffi;', li:i:[]';11,il;;fi

radiou'l

r

c

'r(

rs

e

rri"r

tii.

I 6,61

x'r

urus

c'

l'1,735

y

ears

'-

,il1'J,"J];il?:i*''

of

arr

eripse

is

.r

ancr

'-,3;,];lli'Jl1

,,

3

rhe

disrance

riorn

ure

cc,)rer

r(,

A.

7.685

B.

4.J71

C.

(1.0.17

f"5"

r"ind

the

areo

enclosed

b.y

drc

cun.e

lr

= .r=_

".,.

,.rru

A

3/S

sg.

unirs '

-;

B.

u3sq.

unirs

C'

44isq.

unir

26'

water

otoi"l'rtom

a

hemispheric*r

basin.oidS;,{;t:rTL

,i

rhe

rarc

of

3

cu

in. per

seconrr

"Tfif#il"er

reren

i,,i,g

",t,Jie

deprh

oi,*r*

ilfr,.r,or

ts.0.83

i,;;

C.0.7ri

in/min

{?.

kr

resring

";;;;^

kind

or.truck,;r"

ou.r,

*f,g:;::;H:i

is

round

tharzlyoorrhc

rruck

rirrr

t,,

n:Hil1.fi,'*T,:J*11."''''c'ur

ut,,,"oui

oi,r.,r,ii-,

rii,r.r,r;;,;,

rurd

rhe

probabirirl,drar

,rr:rc

5

A.

0.46t3

B.

0.

t652

:9.

A

brig

corrrajns

-l

rc


19/80

-J{r

Perl'crrnr

tlrc

indir:atctl

operltrorr

J-v

r

V_

ijf

A.

-'2

I

1..'

ZIJ,

,

,,,,.'\

D.-2tj

D.2t

(-

C.

2()1.?6

:

D.

l{}9.31

1.

__)

I

-

.:

^

-''

-t

^t

wrll rt

lalie

lo

gro$'

Ironl

.'('

i

-\.-ra-

l1 I

r

lJr-

It

(.

I

-

\

3

7.

A

culture

of

bactcria gro\(,s

rvith a constant

of 0.t12

Holv,long

io(),(x)0'l

A.

2(Xr.-15

B.

?3().2fi

l.(Xxl

to

I

3ll"

An

isoscelx

righr

triangle

has

its perinreter'l'0.2{?6

fr.

What

is the area

of

the

triangte'l

a{i.

Finri

the

perirneter

ol

tlrc

lar,qest

rectf,ngte

rhat

c.rn be

r;rs;ribed

jn

x/400

+

1y'16

=

l.

A.2n2

B. 4.5

n2

3$.

Evaluale

(

I

+

l) riused

to

thc I0

A.

*2i

B. 32r

A.

4(X)

B.

41.(r

A.

(rl

ll

u.

t2t5t

AI

B.

irrfiiiitv

A.

l,.lt/).

1'uars

B.

l(r,(r

ltl

l

elrs

A. 3r-

-y=

6

8. 2x-

1'=

1

''

C.

i

rt2

-

'

D.'q

fi:-

i"

c.

l2

D.

2i

c

4t6

D.

.lo

41.

Acardisdrawn[r'ornanordirrarydeckartl\\earetottltlratitisred.Whatistheprobabi[ir1

thartlrc

card

is

gr$ter

th:ur

2

but

l*;s

fh"ur ti'l

t.'- :

42.

Er.aluate

tlle

lrrnil

ol'srn r

all

or

cr.r

iL\

n

ri)proaches

z.cro

C.

ii}.(,

D. r l,'J?

('

tt

Dpi

('.

.l.r r

j)

=

2{

D. 2r

-'

:l;'=

18

C.

l-1.71-i

]'uus

D.

5,?(Xlvears

C.r+),.-3

D. .t

'

3'=2

('

'13'

Determir,e

lhe

equation

of the line

tlrrou$r

(3.

.l)

\\hich

l'orrlrs,

rvith

the

pgsirivex

utl

positire.r

a\es.

tlie

triangle

*'irh

the

leasl

arer

A.

{

.r

+

5-r'= JJ

B.

3x

+

4J'=

25

44.

Carbolrestructedfronrurarrcicrliskuil

containcdonir.oll.,-s;\thasmuchradioac.lirer,Casc;rrtr.,,.,

e.\tractcd

lionl

prcsent-da_r'

Lronc.

I'torr

old

is

tlre

skr:ll

ri

i

==

1y.1111g

2;6'1

.1i.

Find

the

equation

of

thc

ralgent

linc

tcr rhe

qraph

grvtn

(.r

,

,,)l

=

x

+

y+

6,

4(r'

The

rectangular

coordinatcs

of a

point

ur'

/square

roor

olS, l

).

The.polar

coQrdfiues

cf.rhis

pornr

are:

,1,.

(-1"

pil.l)

R /? ni/?)

-17.

Find

the radius

olrhe

sphere

rr,hose

equari,rn

is

;rl+

y2*

:2

=

B.:

D.^l

\

'tli. A

bag

contairu

3

u hite balls

urd

5

black

balls.

lf

I

balls

are draun

in

succession

*ifiour

repku;ernenr.

uhat

i:;

tlre

probabiiitr

tirat

both bljls are

black'l

\-

19.

AmcrkstnarthttsT-s'.li,ol-iill

histrrgetr;

\\/l:at

isrhuprobabilrty'ofhittinge.\acrll'-lol'lrisnc\r

lri

shots'l

.,\

()

{)l{:11

('

{)

r)(}li)


20/80

Republic

of the

philippines

ProfessionaI

Regulation

Commission

,

I,,tanila

Ii

fi G

I

S'I:ERED

ELECTR.TCA

L

ENG

I I.r

r:

E rt

r-i

cerrsure

Exarn

rn

;rri,rr

st..'t'B

J"NSItsiicTIoN:

select

the

correct

at)srver

lbr

each

of

rlre

following

quesiions.

Ma.rk

onty

rhg.

rlg$wl

for

each

i"P-

1 $ing

the

box

corrcsponding

t.

rhe

letter

of

your

choir:e,,

rhe,.S\\r.:r.

lre*t

provided'

srlUCit-y'Ndertasunes

At.t-ofEDr.

Use

pe*cil

no.

2

only

.

plau,-e

d,

nrtt

r

ili

uny

lh

ln

g

on

th

is.

t1

uestion

n

a

ir

c:

r'rtrtll-ylpLE

CI{OICE

t.

)

If

the

area

bounde<

by

thc

curvcs

Js

j-r:

,i,r..r

=

0-.1,

=.0

is

revotvecr

ab'ur

r.

(r

Find

the

molnelrt

of

irrerlia

rvitlr

r.csPccl

lo

tlrc

a.xis

ol.,..rrol,,iiu,.,.

.1..

nia5/

t

:o

.

:

,i

,-

^.

l)tat_t)\,

B.

piaSrao

@(p,u:sng,

tf

l9

kilos

of golcl

lose-s

I

kil':

rrrrc

l(r

kilm

ot'illu","

i.rses

r

kilo

rvlrcn

rveighercl

in

\\.,rLl.

find

the

weight

of

gold

irt:t

trar

ol'gokl

;rrrrl

silvcr,,rcigii,,g't06

kilos

in

air

ancl 99

kilo:

irr

tvatef

')

:t

.1"

-.,-

a

'

..\

(Al

76

kilos

(..

:lJ

kitos

B.

55

kitos

I).

SiJ

kikis

The

bisec'tors

o{'rhc

tltrcerttglcs.t':r

rriaugic

r}}cct

itr

l

corrrrnou

calle


21/80

What

is the

area

enclosed

by

y

=

3x

2

4..

l5

R.

24

[;ind

tlre tangent/s

to

the

piu'ab,rla

x

2

A'- x-Y

='

2

B.

3"r

-

2Y

.=

11

ind

the

probability

pthat

the card

is

a

c.

3/tB

1Q

:rsz

D. %

If

an*alloy

containirtg

30ozo

silvcr

is

nrixed

with

u 557o

silver alloy to

gets

800

pound:

ot'

a0%2itll9f.

itow

nruclr

oIeaclr

nrust

I.r-'

used?

(/tJ

480

ol)0%,320

ol'557o'

C.

s00

of

30Zq

300

of 55%

B.

55b

of

300/o,

tso

of sjyi,

D.

200

0f 30a/o\600

0f

55g,0,

Find

the

area

behvee,

the witch,y

=

8a

311p

+

lqzs

.$tQ

its asymptotc.

C. t|/2aZ

ii

D..5i2a2

pi

"''tl';,f$r5;;

;ll

lt:,

e>:Pans i

o,,

or (x

-

8.

3,345,900*'o

y''

r"Cr'

tr"""- 'o'

i

,,.r ?8

alCs

^kt-;f

,-(o

Ji

)

v)

.-.-\

0-{Y)

j'..

-ta.\

(Q'tt-,


22/80

?5.

Findtheequationof theplancpassingtlrrupoints(5,4,

1), (4,.-2,ig)and(0,r:,5)

A.

4x

-

).y,-32

=

9

. il.

x-6y+52=.15

'l,i),

Findthecbordinates

of

the

centroid

of

the

areaenclosecl.tryy.-r-.r2

and

the

y

"

0

about

the x-axis.

A.

(tn,3n)

B.

(1i3,

z5)

C

5.r1'rfy+

z

=

12

@',j,

iy*y-tr.-:zS

O,@,.,{l0r'

D.

(U3,2i3)

'i'/,

If

tbe area

bounded by.y

='.y,

.r

"

2,

arrci

,y

,.

0

is rcvolved

about

,y=

0, find

the

mornent of

'

inr:fiia

of

the.

solid fornred

rvith

respect

to

tlre

axis

of

revolution.

C.

14

pil3

the

y-nai5


23/80

j|).

A

regular

quadrilateral

is

inscribed

in

a cirole

and a

relSular

triangle

is

circ:mscribed

about

it, th*

differeinr:e

belween

these

sides

of'the

polygons

i:;

equal

to 10

cm.

Deter:rnine

the

area

r:f

the

circle.

A.

7451

Et.

5741

,'.'l0,

ilin


24/80

$lepublic

of

the

philippines

Professional

Regulation

Commission

Mani[a

REGISTEREDELECTRICALENT3TNEERTNG

BoardExamination

Sahrrday,

August

21,

ZA1O.

ry*,e %

e;rl/Gr/VE

Erf

ril

C-

t

"*,

"g,

il;

;;r.fiG;;

r,

rF{sTRU(iloN:

seloci

the

coract

anslver

forgacfr

of

tho

fo[owing

questions.

Ma'k

onrv

oDo

slErer

for

each

itarn

by

shadins

ul9

br;

;;;;;il#s,;,,-#ffi

ffi

iilr

r;rroice

n

rhe

an-swor

sheer

provid"dT.

aTRtA.[i"ij6'LnusuRES

ALLowED.

use

fl,t

U

LnpLE

"rtrtrlno.

2 onty.

p/oaso

da n

o

t

m

a

*

or

wri

t

a

;

r

rO;;;;

;;;;r;#;;.

l.

What

prefx

refers

to

10

to

the

negativo

15b. power?

A

s[o

i'

r"

o

-/

c'

Pico

D.

nano

a

point

objr:ct

as

foilows:

100

N

at

170"

and

100

N

at

500.

Fincl

their

C.

173.2

N

at

-1600

D.

173.2 N

at20o

1:00

p.m.-

5:00

p.m.

sl]-t'*

A

area

is

144

srt-

ft. ancl

the

2"

Two

forces

act

on

rosultant

(4t

tooNar

1to"

E)

aEA lr

-..,-o.

twllor

tlC

s

s'

&

lhe

instarlt

the

.traffic

light

turns

green,

an

automobite

that

has

been

waiting

at

an

htersoctbn

stsrts

alpad

wifi

;

*ni"nt

accereration

of-o-rusec/see.

At

ths

samo

instant

a

ruck'

traveiins

yg:

?l*lly."r*rty

or so

ru"*

;;r&L

ano pas$s

the

auromobire.

Howar

beycnd

its

starting

point

wi, rne

auiomouira

overtake

the

truck?

A

250

fi

tu(J|((

.

R

td;i

e.

lsort

(d)soo

rr

4'

A

10o

kg

woighl

rosts

on.

a

30


25/80

.*i'to'

A steelwiro

10.m long

hanging

Vertically

supports'a

tensile

load.of 2,ooo

N.

Neglecilng the

wolght

oI

the u'fre,

determino

tho

roquirod

dianreter

if ths

stress

in

not

to exceed

140 Mpa

anci

tho

totblekrngauon

is

nol

to

exceed

s mm.

Assume

ti

,,

200

Gpa.

\*,\i

l?.

A-stgel

cylinclrirxl

tank weighs

35

kg

vdth

sp.gr

of

7.87

contains

a

4.Liter

of liquid urith alernsity

o{

997 kdm.,What

is

the

total

mass

ol

the

tank?

fr

il[3

;

l:[3

Dr'&r,of

,-.\

\4

L9

A blc,ck

of

aluminum

weighs

0.2.4525

N in

air.

What

udll

be

the

tension in

a

string thai"

srj$pencs

the

b'lock

when

the

block

is

totally submergecl

int wale(l

The

density

of aluminum

is

2700

kg/m3.

A.

0.1s44

N

c.

0.44s{i

N

VO

=

Sb

-

9- : J:-:'

D.

0

s361 N

{b

\T#-i(

.

0.1455

|.1

14.

At a

height

of

10,000

m

above

sezr

level,-atmospheric

prerisure

is about

210

mm of

lig.

What

is

tho resultartt

normal

force

on

a 600

cm2

winbow

of

an airl:lane

flying

at

this height wlren

the

hydrostatic

condition

ancl

a

pressure

insicJe

the

plane

of

76ir

mm oi H

and

densit-y

of nrercury

is

13,6C0

kg/rn&?

A.

s.7kN

c.4.4kN

T=O.z4.S/j_

. 3.4

KN

D.

2.6

kN

,4"

5.24

mm

B" 4.26

mnr

11.

A hollow

sterel

chimnoy

20

m

of

hot

e.rhsust

gas.

What

q

=

11

x10-o

por"C

A

160C

g.

" 260C

17.A

siram

engino

operales

between

thsrmal

officiency?

A. 27%

,g)

49%

C.

4.04

nrm

D,

5.05

mm

high subjected

to

lncrousa

iln

[ongth

of 3.5 mm

dus ter

passage

Is'the

temperaturc

cheng*

on the

steel

.chimney?

Assume

c. 120C

o"

2?'c

15C'C

and

550"C.

Wlrat

is

ils

'theoretical

maximum

c. 73o+_

D.

95%

).

?:,)

r--

6

z

,t)

15. The

Froucie

number is

a ratio

A-

of

two

irrational

prime

number,,;

B.

proportional

to

the

coefficient of heat transfer

dividerC

by

ihe

thermal

conduCJvity

C.

proportionalto

the'specifii

heat

a constant

prossuro

di,ridod

by the

thermalconductivity

.JP)

proportirrnal

to

the

velociiy

dividecl

by the

squsrB

root


26/80

19.

\l/hat

is ths

coefficient

of

perforrnance

of

a

-'J0

"F Bnd

-190"F?

A.

*{].5

8.

0.5

Carnot

refril;oration

cycle

operating

betvieen

c.

1.06

@r.so.

'

,..87

t:.iji

l

\..',,".

20'

in

1993'

a

cortain.country

consurnption

energy

(in

MegaBru)

from

various

oources

wB$

ts

ollows:

coal,

18.1;

oii,

32.1;

natuial

gas,20.2;

hydro,2.9;

and

nuclear,2.g:.Calculate

in

Megawatthours

th'e

totil

elec*ric

energy

that

coukJ

be

produced

from these

so*(Es,

ssuming 8n

BverElge

power-prant

r:onversion

effidoncy

otir.zs.

rA-

,\5.44

^

..,.

b/+.ss

,

I:

i#

22..ehemical

symbol

of

Sodiunr

Oxide.

;\.

Nao

vruvs'

ri:

i'i;i.sqj,*n,,

?cay,tc(g;r;E4

e

il:fl

Y:ffi[frry5or.

?3.

Whieh

of

the followilrg is

the formula:

for

acetic

acid?

A.

COOH

^-'^..

ts.

cH2cooH

c'

cHrcH:llooH

@

cHrco,)H

-+

tsuka,

(yiqg*-

)

c.Un,

,,

r

'

acid

'-

*:;;

ffi

il'

H

rffi.l'rl:

ffi

f ,.

:,""

"n

d

hyd.s

:

r,.:.yr#i

r,

:,J

rJ'

znc

is

rodur-d

onry

D-

Zncis

ier,ucod

and

hvdrogen

is oxidized

25'

what

is

the

mass

in

grants

of

1

liter,s

of

carbon

monoxide

(co)

at

staiidard

temperaiuro

and

ressuro?

The

MW

of

CO

is

2g

g/nrole.

At

STp.

.l

mole

of

o-.,

^oc

a*a3+_

-

..-..

-_

litgnS?

:

,

; ::: -;_

.;.

=,,j

.:iun

i.,i.

rupigs

a

Voaliml,

Oi

_iJ.d

I

l.

Ortnvert

SO"F

to

oC.

A.

2dc

ri.

12tC

@

1.2s g.

8.

1.35 g

c.

1rc

D.

10PC

C.

1.45

g

D.

1.20

g

2ti'

A

droplet

of

mercury

has

a

radius

of

0.5

mm.

How

many

mercuu

atoms

are

in

the

croplet?

For

Hg:

MW

=

20?

I$tsmotand

sp.gr.

=

13.6

A.

2'l

.23

xl 017

G

.

21

.23

xt 0ro

$1,

23.21

x1010

D.

23.21

xj0r

i27.

Given:

r

=

distanoe

between

the particle

in

Angstrom,

V(r)

=

LennarC-Jonnes

potential,

6,

delta

=

finite

distance

at

which

inter''particle

is

zlro,

e,

signra

=

depth

of

potential

well.

what

is

tho

potentiat

in tarrns

of sigma?

'

-' --r"

A.

0.163

r

c.

0.0163

r

cr-A-{.0163

E

D.

_c.163

L

?B'

ln

a

tilraticn

proce$s,

suppos6

that

a

20

mL

of

0.1

N

HCI

neutralized

16

mL

of

unknown

sodium

hydro*do

(NacFr).

what

is

the

,ormarity

of

tho

basa?.

A.

0.2s

-

C. 0.15

B.

0.17s

W.tis

29-

L

is

a

nonvolatile,

non-electrolytic

liquicJ.

A

solid,

S, is

addod

to

L

to

form

a

soluf

ion

that

just

bgilt

lt.1

atm

pressure.

The

vapor iressuro

of

puro

L

ls

85rl

torr.

what

is

the

mote

fraction

of

liquid

L

in

tha

soiution?

(&

es.+"6

c.

Ts.4%

B.

64.3%

D. Bs:7%


27/80

19.

\l/hat

is ths

coefficient

of

perforrnance

of

a

-'J0

"F Bnd

-190"F?

A.

*{].5

8.

0.5

Carnot

refril;oration

cycle

operating

betvieen

c.

1.06

@r.so.

'

,..87

t:.iji

l

\..',,".

20'

in

1993'

a

cortain.country

consurnption

energy

(in

MegaBru)

from

various

oources

wB$

ts

ollows:

coal,

18.1;

oii,

32.1;

natuial

gas,20.2;

hydro,2.9;

and

nuclear,2.g:.Calculate

in

Megawatthours

th'e

totil

elec*ric

energy

that

coukJ

be

produced

from these

so*(Es,

ssuming 8n

BverElge

power-prant

r:onversion

effidoncy

otir.zs.

rA-

,\5.44

^

..,.

b/+.ss

,

I:

i#

22..ehemical

symbol

of

Sodiunr

Oxide.

;\.

Nao

vruvs'

ri:

i'i;i.sqj,*n,,

?cay,tc(g;r;E4

e

il:fl

Y:ffi[frry5or.

?3.

Whieh

of

the followilrg is

the formula:

for

acetic

acid?

A.

COOH

^-'^..

ts.

cH2cooH

c'

cHrcH:llooH

@

cHrco,)H

-+

tsuka,

(yiqg*-

)

c.Un,

,,

r

'

acid

'-

*:;;

ffi

il'

H

rffi.l'rl:

ffi

f ,.

:,""

"n

d

hyd.s

:

r,.:.yr#i

r,

:,J

rJ'

znc

is

rodur-d

onry

D-

Zncis

ier,ucod

and

hvdrogen

is oxidized

25'

what

is

the

mass

in

grants

of

1

liter,s

of

carbon

monoxide

(co)

at

staiidard

temperaiuro

and

ressuro?

The

MW

of

CO

is

2g

g/nrole.

At

STp.

.l

mole

of

o-.,

^oc

a*a3+_

-

..-..

-_

litgnS?

:

,

; ::: -;_

.;.

=,,j

.:iun

i.,i.

rupigs

a

Voaliml,

Oi

_iJ.d

I

l.

Ortnvert

SO"F

to

oC.

A.

2dc

ri.

12tC

@

1.2s g.

8.

1.35 g

c.

1rc

D.

10PC

C.

1.45

g

D.

1.20

g

2ti'

A

droplet

of

mercury

has

a

radius

of

0.5

mm.

How

many

mercuu

atoms

are

in

the

croplet?

For

Hg:

MW

=

20?

I$tsmotand

sp.gr.

=

13.6

A.

2'l

.23

xl 017

G

.

21

.23

xt 0ro

$1,

23.21

x1010

D.

23.21

xj0r

i27.

Given:

r

=

distanoe

between

the particle

in

Angstrom,

V(r)

=

LennarC-Jonnes

potential,

6,

delta

=

finite

distance

at

which

inter''particle

is

zlro,

e,

signra

=

depth

of

potential

well.

what

is

tho

potentiat

in tarrns

of sigma?

'

-' --r"

A.

0.163

r

c.

0.0163

r

cr-A-{.0163

E

D.

_c.163

L

?B'

ln

a

tilraticn

proce$s,

suppos6

that

a

20

mL

of

0.1

N

HCI

neutralized

16

mL

of

unknown

sodium

hydro*do

(NacFr).

what

is

the

,ormarity

of

tho

basa?.

A.

0.2s

-

C. 0.15

B.

0.17s

W.tis

29-

L

is

a

nonvolatile,

non-electrolytic

liquicJ.

A

solid,

S, is

addod

to

L

to

form

a

soluf

ion

that

just

bgilt

lt.1

atm

pressure.

The

vapor iressuro

of

puro

L

ls

85rl

torr.

what

is

the

mote

fraction

of

liquid

L

in

tha

soiution?

(&

es.+"6

c.

Ts.4%

B.

64.3%

D. Bs:7%


28/80

E .

1.7

amu,

ll1.

tr

he radius

of

'

Wavolsngth

of

nueiCIus?

,o

'

A. 2.38 A

ll0,

The

mass

(in

alomic

nrass

units,

ilmu)

of

a

[5"X'

\

*o

nross

q

D

Vrwl-u1 /

a

hypotfretical

ole,:tron

orbit

tho

oloctron

if

four

completo

Q

r"rs

i.

38.

What

is

the

equiv;alent

of

(75.t)

base

8

A.

62.78s

B.

62.875

photon

at

0.8

tjmes

C.

0.8

anru

D.

A.2

amu

is

known

to

be

cyclos

constituto

o

0.118

A

o

4.71

A

the speeil of light

is

most

0.75"4.

What

ls tho

Broglio

a stablo

patlom

around

the

gn

Q

,'1)

t

.

\r.,

i

r

ono

of

tho

main

differences

between

cast

iron

and

steet

is

that

fu

$teel

has

a

hlgher

silicon

contorrt

-i{}}

{itool

hss

a

hwer

carlbon

contont

_-//

e.

$ e€l

cannot

be

annealed

whereas

cast

iron

can

.t3,

$tael conteins

a

large

amount

of

uncombined

carbon

;')3.

Viekers,

Knoop

and

Brinellare

ell

narnes

of:

A"

i'Jcbel

prue.,tinners

in n:etallurgy

B.

Magnetic.consianl

@)'

t

lLLf

+

o(:i+"

,,)-'

ir)S

;19'

ls

a

type'of

Inefi'lorY

chip

that

rrltains

its

clata

when

its

Fower

supply

is

switcheo-of,

in other

words'

it

is

non-volatilo'

lt

is

an

'anay

of

floatinggate

jgo.;istors

individually

programrnod

by

n

erocrronic

devi,ce

that

suppries

higher

vortag;j;;#;;

,"*rr,rv

,;"r,,io,lo",circuits.

,a,:

capacitive

storage

\zC.

gpnoM

r,rrvrlrr-rrry

ust'(,

tn

st9

(

e'

sReu

)'{'

DMi'i

40.

\tVhat

is

tho

rnost

common

type

)4\.

Dualin-tine

packagei

(Dtp)

B.

Compiementary

rneial

oxidr:

e.

Metaltypa

lo

base

10?

..

c.6.t.785

,

ft.

ot.ats

of

digrtal

lC

(integrated

circ,.rit.r

package?

semiconduCor

(CMr)S)

tl.

Transistor-{ransistor logic (1TL)

C.

The:'mcdynelnlcs

cc'nstaql

\e

Hardness

lesls

t/

"

;T,lltffi;,;r

steelrnav

bo

increased

by

heatins

to

appro;


29/80

4l'

lVhat-refers

to'the

value of

an

intartgible

itom

whiclr.arise$

from

ths

oxclusvo

riglrt

of

r:

eor'Rpany

to

provide

a

spocified

prodr.rct

and

servico

in

a

certain rogion

of

the

country?

A;

par

value

a.

Goochyill

valuo

,

B"

Going

vhlue

@

Franctrise

vslue

..,.")'

'i?.

VVlrat

is the

factor namo of

tho

formula

(1

+

,)1?

(iV

Slngte

payment

compound

amount

lactor

C.

Unifonn

gnrdient

future

wortlr

factor

B.

singlo

paynient presont worth

factor

D.'capital

reo)very factor

4i].

On

his

6h.

birthday

a boy

is

left

an

inheritanco.

The.inheritanrx

will bo

paid

in

a tump

6urr

of

'

i)1O,OCICI

on

his

21't.

birthday.

What

is

the

present

worlh

of

lhrl

inheritanco es of

t\e bo/s

tih.

l)irl.hriay,

il intEr,Est

is

compounded

annually

al4%?

ii)

A. P4,442.64

r],

t5,652.4

44.

$uppose

I

rnan

receives

an

initia

annual

})5,000

I

year.

lf

money

is

worth

at 10%.

period

of 8.yrs.

.{.Dp75,022.39

3.

P72,A4s9

A.

52 rnm

8.

45

mm

A.

s0

kAtc

El. 100

kAtc

A. specific

ciause

B. shop

dra*ing

c.

P5,552.64

D. P,4,542.46

-

salary

of

F'}60,000 incroasing

at

the

nato of

Deterrnine

his

oquivalent uniform srlary for

a

c.

P70,0s5.35

D.

P72,22A35

'15.

A

machino

has an

initial

cost of

P50,000

and.a

scrap

value

of

P10,000 after 10

yerars.

Find

tha

boohvalue

after

5

years

usinE

straight ling

depreciation.

A.

P32,000

B.

P28,000

4ii.

?"t

I

corporatiorr

or

iirm

be

regstered

or licensod

to

practice

electrical engineering?

r\.

Yes

,

tB

u;r,

dsponding

on

the naturs

of business

of corporation

or

firm

D-

Y.cs,

upon

aorrroval

of

govemmeni:

regulating

body

47.Th;

official

seal of

a

proiessional Electrical

Engineer

(PEE) as provided'in sgction

a

(q)

of

.

c. P25,0A0.

,,./

D.

P30,000v

C.

50 mm

@+e

mm

-/

,4a.

is

delined as

properly

krcalizing

a

fault

r:ondition

to restrict

outages to the

equipment

effeiteti, accomplished

by

choice

of

selectiva

fairtt

protec*ive

aevi-s.

.

$eoordination

C.. choi,r

selsction

B.

fautt device

D.

monitoring

-\.

Q -)

+g.

The

connocted

electrical load

of

an

o,ffica building.is

3OO

kVA,.

The main

circuit breaker

to

be

installed

is

1,$00

Amp,2

poles,250

Documents

REE Questionaire 2009 Philippines