Preboard Reviewer

8/13/2019 Preboard Reviewer

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Mathematics PREBOARD EXAM Part3

Choose the letter of the best answer. Put your answers in the answer sheet proi!e!.

". #ole for the alue of $% lo& '$3( lo& )*+$, - *.'/397.56

'. Ealuate% lo&*/01 - $.3.76

3. 2hat is the !iscriminant of the euation 0$'- /$ 4 1. 16

0. 5ien the euation 3$'( B$ ( "' - 67 what is the alue of B so that the roots of the euation are eual8 12

1. 9ow many suare feet is "66 suare meters81076

*. 9ow many terms of the pro&ression 37 17 7 ...... shoul! there be so that their sum will be '*66850

. :n how many minutes after ' p.m. will the han!s of the cloc; e$ten! in opposite !irections for the first time843.636

/. At appro$imately what time between * an! ohe polynomial $3( 0$'4 3$ ( / is !ii!e! by $ 4 17 then the remain!er is218

"6. Mi;e7 ?oui7 an! @oy can mow the lawn in 07 *7 an! hours respectiely. 2hat fraction of the yar! can they mow in " hour if theywor; to&ether8

47/84

"". >en liters of '1 salt solution an! "1 liters of 31 salt solution are poure! into a !rum ori&inally containin& 36 liters of "6 saltsolution. 2hat is the percent concentration of salt in the mi$ture8

19.55%

"'. At what time after "'%66 noon will the hour han! an! the minute han! of the cloc; first form an an&le of "'6 !e&rees812:21.818

"3. >he e$plement of an an&le is four times its supplement. in! the an&le.

120"0. #implify% )" 4 cos $,+ sin $ ( sin $ + )" 4 cos $,

2 csc

"1. Each of the interior an&les of a 'si!e! re&ular poly&on is

175"*. in! the ra!ius of a circle inscribe in a trian&le the si!es of which are 1 ft7 ft7 an! = ft.

1.658 ft

". A railroa! cure is to be lai! in a circular path. 2hat shoul! be the ra!ius if the trac; is to chan&e !irection by 36 !e&ress at a!istance of 366 m8

573 m

"/. :f the si!es of a ri&ht trian&le are 37 07 1m7 the area of the inscribe! circle is FFFFFFFFF.!i s"#are m

"=. 5ien a trian&le7 C - "66 !e&rees7 a - "1 m7 b - '6 m. in! c.27 m

'6. >he an&le of a sector is 36 !e&rees an! the ra!ius is "1 cm. 2hat is the area of the sector in cm'858.9

'". >he !iameter of the face of a cloc; is '6 cm. in! the area of the ua!rilateral with ertices at numbers "7 17 /7 an! "".

186.57 cm

2

''. An euilateral trian&le of si!e / cm is enclose! in a circle. in! the !ifference in the areas of the circle an! trian&le.39.308 cm2

'3. >he official !istance between the home plate an! the secon! base in a baseball !iamon! is "'6 ft. in! the !istances of the basesif the official baseball !iamon! is in a form of a suare.

84.85 ft

'0. One si!e of a re&ular octa&on is '. in! the area of the re&ion insi!e the octa&on.19.3

'1. >he sum of the interior an&les of a poly&on is 106 !e&rees. in! the number of si!es.5


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'*. Accumulate P17666.66 for "6 years at / compoun!e! uarterly.!11$040.20

'. 2hat is the effectie rate for an interest rate of "' compoun!e! continuously812.75%

'/. :f P17666.66 shall accumulate for "6 years at / compoun!e! uarterly7 fin! the compoun!e! interest at the en! of "6 years.6$040.20

'=. 2hat is the present worth of a P"7666.66 annuity oer a "6yr perio!7 if interest rate is /8

!6$710.00

36. 2hat annuity oer a "6year perio! at / interest is euialent to a present worth of P"667666.668!14$903

3". :f P166 is ineste! at the en! of each year for * years7 at an effectie rate of . 2hat is the total amount aailable upon the!eposit of the *thpayment8

!3577.00

3'. in! the euation of the circle if the en!s of the !iameter are )437 1, an! )7 3,. 2&2' ( 1&2) 41

33. Determine the euation of the parabola &ien% erte$ at )67 6,7 a$is alon& $a$is an! passin& throu&h )437 *,.(2' 12 ) 0

30. in! the euation of the !irectri$ of the parabola y'- "*$. ) 4

31. in! the area of the trian&le which the line '$ 4 3y ( * - 6 forms with the coor!inate a$es.3

3*. 2hat is the !eriatie with respect to $ of )$ ( ",34 $3

6 ' 3

3. Determine the limit of )$'( 3$ 4 0, as $ approaches 024

3/. in! the secon! !eriatie of $34 1$'( $ - 66 10

3=. Determine the !iameter of a close! cylin!rical tan; hain& a olume of "".3 cu. m to obtain minimum surface area.2.44

06. >he cost C of a pro!uct is a function of the uantity $ of the pro!uct% C)$, - $'4 0666$ ( 16. in! the uantity for which the cost isminimum.2000

0". :nte&rate% )$3( 0$', !$74/4 ' 43/3 ' *

0'. #implify% i'=( i'"( i.3i

03. >he e$pression 3 ( 0i is a comple$ number. Compute its absolute alue.

5

00. 2rite the polar form of the ector 3 ( G0.

553.101. #implify% )3 4 i,'4 )3 4 i, ( "6

3 i&

0*. 2hat is 0i cube times 'i suare88i

0. Roll two !ice once. 2hat is the probability that the sum is 81/6

0/. A coin is tosse! 3 times. 2hat is the probability of &ettin& 3 tails up8

1/8

0=. A ball is !roppe! !own a well an! 1 secon!s later the soun! of the splash is hear!. :f elocity of soun! is 336m+s7 what is the !epthof the well8

107.2

16. 9ow far !oes an automobile moe while its spee! increases uniformly from "1 ;ph to 01 ;ph in '6 secon!s8167m

1". A soli! material whose atoms !o not form a reco&niHable pattern.amor+,o#s

1'. A crystal !efect where there is a missin& atom.


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-acanc(

13. Electronhole pairs are pro!uce! by%t,ermal ener(

54. After the Gunction recombination process has reache! euilibrium7 what is the area that surroun!s the Gunction calle!8

t,e de+letion reion

55. One of the prime !an&ers to the semicon!uctor !io!e is heat. E$cessie current &enerate! by heat which eentually !estroys a

!io!e is calle!t,ermal r#naa(

1*. A P:I !io!e when reerse biase!7acts like nearl( constant ca+acitor

1. Also ;nown as barrier !io!e.c,ottk( diode

1/. >he class of transistor amplifier operation that uses e$actly half of the input si&nal is%*lass

1=. 2hich of the electronic transistor confi&uration has the hi&hest current &ain8*ommon collector

60. 2hat is the most common form of couplin&8

*

*". >he Jpoint of a circuit is !efine! by specific alues for*and *

*'. 2hat bias &enerally proi!es &oo! Jpoint stability but reuires both positie an! ne&atie supply olta&es8mitter ias

*3. >he transistors of a class B pushpull emitter follower are biase! at*#toff

*0. B@>s are FFFFFFFcontrolle! !eices7 but E>s are FFFFFFFcontrolle! !eices.c#rrent$ -oltae

*1. 5atetochannel separation in a MO#E> is accomplishe! by usin& which material8

ilicon dioide

**. A re&ion where the !rain current is consi!ere! Hero.*#toff

*. :t is the ratio of a chan&e in the !rain current to the correspon!in& chan&e in the &ate 4 to 4 source olta&e.orard ranscond#ctance

*/. :t is a E> amplifier confi&uration characteriHe! by a olta&e &ain of " an! ery hi&h input impe!ance.*ommon rain

*=. or an nchannel !epletion MO#E>7 :D##- / mA an! K5#)Off,- * K. :f K5#- 6./ K7 what is the alue of the !rain current7 :D810.28 m;

6. :n an EMO#E>7 FFFFFFFFFF is nee!e! to create the necessary channel between the source an! the !rain.

#rface n-ersion

". >he FFFFFFFF @E> uses a positie !rain supply olta&e.nc,annel

'. 2hat two parameters are use! to represent the E> transfer characteristic8his is obtaine! only if the &atetosource olta&e is eual to Hero.=aim#m rain *#rrent

1. >he most use! type of E> bias confi&uration.oltae i-ider

*. :n an op 4 amp &eneral bloc; !ia&ram7 the secon! bloc; isoltae am+lifier

. >o re!uce the effects of noise resultin& in erratic switchin& of output states of a comparator7 you can use,(steresis.

78. :t ta;es an opamp '' s to chan&e its output from 4"1 K to ("1 K. Determine the slew rate.

1.36 /s


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=. A)n, FFFFF amplifier confi&uration has an input impe!ance appro$imately eual to the input resistor Rian! an output impe!anceappro$imately eual to the output impe!ance of the opamp itself.

in-ertin

/6. A comparator with a #chmitt tri&&er has how many tri&&er leelsto trier le-els.

/". :n a)n, FFFFF7 when the input olta&e e$cee!s a specifie! reference olta&e7 the output chan&es state.com+arator

/'. Ie&atie fee!bac; a!!e! to an opamp FFFFF the ban!wi!th an! FFFFF the &ain.increases$ decreases

/3. 2hat circuit pro!uces an output that appro$imates the area un!er the cure of an input function8nterator

/0. 2hich are the terminals of an #CR8;node$ *at,ode and ines of orce

//. FFFFFFFFFFFF stores ener&y in the ma&netic fiel!.nd#ctors

/=. >he loop rule in circuit analysis is also ;nown as?irc,,offs econd >a

=6. >he unit olt is eual to@ / *

=". 2hat is the time constant of a series RC circuit that contains a "' M resistor an! a "' N capacitor8

144 seconds

='. 2hat is the euialent power of '.*"" ;283.5 A!

=3. 2hat is the efficiency at ma$imum power transfer850%

=0. 2hat law in electronics where an in!uce! current will be in such a !irection that its own ma&netic fiel! will oppose the ma&neticfiel! that pro!uce! the same8

>enBs >a

=1. A coil of 16 Ohm resistance an! "16m97 in!uctance is connecte! in parallel with 16 uf capacitor. >he source olta&e is "66 sin)t( 36o, K. 2hat is the euation of the line current8

1.25 sinCt ' 75.5o&

=*. >he power factor of an AC circuit is &ien by / DED

=. Characteristics of the current flow in a series R?C circuit at resonancet is at a maim#m.

=/. #ole for the total reactance of a '16 m9 coil in series with a 0. N capacitor at a si&nal freuency of 016 9H7 i&norin& effects ofDC resistance.

706 o,ms

==. 2hat is the time constant of a 166 m9 coil an! a 37366 ohm resistor in series80.00015 sec

"66.>he opposite of impe!ance is ;nown as

;dmittance

"6".Are those flipflops that operate with a "to6 transition that correspon!s to the cloc; si&nal applie! to the flipflops8neati-eede triered

"6'.>he 1


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"61.A combinational circuit that conerts binary information from n input lines to a ma$imum of ' nuniue output lines.decoder

"6*.:t is the bus that lin;s the CP an! the e$ternal cache memory.ackside #s

"6.>ype of RAM that nee!s perio!ic refreshin& to maintain the store! !ata.d(namic ;=

"6/.A type of photoresist that softens when e$pose! to K li&ht.

+ositi-e +,otoresist

"6=.:t states that the number of transistors in a chip !oubles eery "/ months.=oores >a

""6.A crystallo&raphic notation use! to !escribe planes an! !irections.=iller inde

""".Chemical use! for !issolin& o$i!e from the wafer surface.A

""'.A techniue applie! to form a sin&lecrystal silicon material.*Boc,ralski =et,od or loat Eone =et,od

113.

An inerter has the terminal currents : in)low, - '.03 mA7 :in)hi&h, - =/.= A7 :out)low, - 10.3 mA7 an! :out)hi&h, - ".0 mA. 2hat is thema$imum fan out822

""0.CharacteriHes the input sta&e of a >>? lo&ic &ate%m#lti+leemitter transistor

""1.>he output sta&e of >>? which has ' transistors.totem+ole or +#s,+#ll

""*.>he transition olta&es of a lo&ic inerter are measure! on a cure tracer an! are foun! to be K :9- 'K7 K:?- 6./K7 KO9- './K7 KO?- 6.3K. in! the hi&h state noise mar&in of the lo&ic &ate.

0.8

"".2hich amon& the followin& lo&ic families consumes most amount of power8

*>

""/.Passes a narrow ban! of freuencies an! opposes all othersand+ass filter

""=.An RC filter whose output is ta;en across the resistor is a,i, +ass filter

"'6.An RC filter pro!uces a rolloff rate of20d/decade or 6d/octa-e

"'".>his filter has a rolloff rate of 4'6!B+!eca!e+pole.#tterort, ilter

"''.>his filter has a characteristics near that of an i!eal filter.

lli+tical ilter

"'3.Also ;nown as KCK# filter.allen?e( filter

"'0.5ien are the followin& parameters for a &ien filter% lower cutoff freuency is ";9H an! hi&her cutoff freuency is "66;9H.Determine the center freuency.

10 kAB

"'1.:f the uality factor is less than "67 then the filter iside and

"'*.ilter circuits ma!e of resistors7 capacitors7 an! in!uctors are calle! as+assi-e filters

"'.Oscillator that ma;es use of a notchfilter response at its resonant freuency.in

"'/.>he most wi!ely use! RC oscillator.Heinride

"'=.A basic Colpitts oscillator contains haw many in!uctors at its fee!bac; circuit81

"36.Oscillator that contains a transformer in its fee!bac; networ;.;rmstron

"3".>he amplitu!e of each of the si!eban! is '6uK for 16 mo!ulation7 what is the amplitu!e of the unmo!ulate! carrier8


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80#

132.:n an AM si&nal that is "66 percent mo!ulate!7 what ma$imum olta&e alue is present in each si!eban!8

1/2 t,e carrier -oltae

"33.2hat are the two maGor sections of an AM transmitter8;#dio fre"#enc( #nit and radio fre"#enc( #nit

"30.:f an /*6;ilohertH AM si&nal is mo!ulate! by freuencies of 1 an! "6 ;ilohertH7 what is the ban!wi!th820 kilo,ertB

"31.Mo!ulation pro!uce! in the plate circuit of the last ra!io sta&e of a system is ;nown by what term8Ai,le-el mod#lation

"3*.:n an fm si&nal7 )a, the RA>E of shift is proportional to what characteristic of the mo!ulatin& si&nal7 an! )b, the AMOI> of shift isproportional to what characteristic8

a& re"#enc( & am+lit#de

"3.Cause! by chromospheric eruption on the sun resultin& in ion !ensity in the D re&ion7 with a mo!erate increase in the E re&ion7increasin& their absorptie properties.

"3/.>he type of ra!io wae responsible for lon&!istance communications by multiple s;ips is the

k( a-e

"3=.:f the critical freuency is 06 M9H an! the ta;e off an&le is 36 !e&rees7 what is the M846 =AB

"06.A re&ion where the air pressure is so low that free electrons an! ions can moe about for sometime without &ettin& close enou&h torecombine into neutral atoms.

onos+,ere

"0".Calculate the beamwi!th between nulls of a 'm parabolic reflector use! at *59H.

3.5142. An array where the ma&nitu!e of the current in each element is the same but there is a phase !ifference of =6 between currents

pro&ressiely.ndfire arra(

"03.>he resistance of a halfwae !ipole is eual to

73144. :t is an antenna +0 lon& an! utiliHe the earth


7/9

"11.>he most !esirable alue of #2R on a transmission line is1

"1*.Recommen!e! #tan!ar! that specifies the functional an! mechanical characteristics of the interconnection between D>E an!complyin& E:A electronic stan!ar!s R#0'' an! R#0'3. >his stan!ar! is commonly foun! in !ata networ; communicationeuipment

449

"1.FFFFFF is the name for an R#'3' connection wire! usin& a R@01 Gac;232

"1/.Re&istere! @ac; )R@, that has / pins@ 45

"1=.K.=' is an :>> recommen!ation for a mo!em7 allowin& FFFFFFFFFFFFFF !ownloa! an! FFFFFFFF uploa!*. 56 k+s$ 48 k+s

"*6.5ien the followin& parameters%BER - "6*

Bit rate - "16 ;bps>ransmission time - "6 secDetermine the appro$imate number of errors

1.5 error its

"*".Determine the appro$imate rate of error bits for a bit rate of "'66bps at "6 0BER0.12 error its/sec

"*'.Proi!e hi&hspee! :nternet serice to homes an! businesses which upstream spee! is not the same as !ownstream spee!;>

"*3.A networ; !eice7 usually at a telephone company central office7 that receies si&nals from multiple customer Di&ital #ubscriber?ine )D#?, connections an! puts the si&nals on a hi&hspee! bac;bone line usin& multiple$in& techniues.

>;=

"*0.An international communications stan!ar! for sen!in& oice7 i!eo7 an! !ata oer !i&ital telephone lines or normal telephonewires. #upports !ata transfer rates of "'/ bps for B channel an! "* ;bps for D channel. Also ;nown as 'B(D channels

I

"*1. A metho! of !ata transmission in which small bloc;s of !ata are transmitte! rapi!ly oer a channel !e!icate! to the connection

only for the !uration of the transmission!acket sitc,in

"**.One of the approaches of pac;et switch networ; where all pac;ets for one transmission ta;e the same routeIode sitc,in

"*. One of the approaches of pac;et switch networ; where all pac;ets for one transmission ta;e the !ifferent routeataram

"*/. Any pac;et enterin& any port is broa!cast out on eery port so that all !eices connecte! to its ports receie that information.Result in a lot of unnecessary traffic bein& sent to all !eices on the networ;. All ports share a sin&le ban!wi!th of the networ;

A#

"*=.2hat is the ma$imum achieable bitrate for a computer mo!em operatin& oer a telephone channel with 3 ;9H ban!wi!th an! ama$imum allowe! si&nal power that &uarantees only a 36!B

30 k+s

"6.nit of transmission rate7 mo!ulation rate or symbol ratea#d rate

"".2hat multimo!e fiber properties help re!uce connection losses8>arer core siBe and ,i,er I;

"'.?i&ht e$hibits what ;in! of wae motion8rans-erse

"3.A li&ht wae is inci!ent on a surface. >he reflecte! power is the &reatest in which of the followin& inci!ences8;lmost +arallel

"0.>he relationship between the inci!ent rays an! the refracte! rays at a boun!ary between me!iums with !ifferent in!e$es of

refraction !escribes what law8nellJs >a

"1.2hat are the three basic parts of an optical fiber8*ore$ claddin$ and coatin

"*.5lass optical fibers hae low loss between the infrare! an! ultra iolet absorptie re&ions. >he appro$imate waelen&th ofoperation for &lass optical fibers is in which of the followin& ran&es8

700 nm to 1600 nm

".or a multimo!e &ra!e!in!e$ fiber7 the numerical aperture is at its ma$imum alue at which of the followin& locations8;t t,e fier ais


8/9

"/.>he multimo!e &ra!e!in!e$ fiber that has the best ben! performance an! will show the least amount of optical !e&ra!ation ifmishan!le! is what siHe8

62.5/125 m

"=.iel! loss measurements are ma!e by usin& which of the followin& test euipments8K+tical so#rces and +oer metersL and o+tical time domain reflectometers

"/6.2hat is it calle! when the fiber en! face is !irectly place! oer the source emittin& re&ion8#tt co#+lin

"/".Lou are measurin& a oice channel at a 40 !B test point leel7 the meter rea!s 43 !Bm7 conert the rea!in& into !BrnC6.21

"/'.An antenna with noise temperature of 1 is connecte! to a receier with a noise temperature of 366. 2hat is the noise fi&ure in!B8

3.6d

"/3.>he noise fi&ure of a totally noiseless !eice is FFFFFF.#nit(

"/0.One of the followin& types of noise becomes of &reat importance at hi&h freuenciestransit time

"/1.401!Bm is euialent to FFF !Ba.40da

"/*.2hat is a freuency !iscriminator8; circ#it for con-ertin = sinals to ;= sinals

"/.>he metho! of &eneratin& M in a broa!cast stations transmittin& hi&h amount of power.Msin enerated != to a-oid t,e #se of #nstale oscillators

"//.Preemphasis is compensate! for at the receier by a>o+ass filter

"/=.:f you hae aailable number of power amplifiers with a &ain of "66 each7 how many such amplifiers !o you nee! to casca!e to&ie an oerall &ain of *6!B8

3

"=6.A circuit use! to silent the output if the receier !etects no mo!ulate! si&nal is receie!."#elc,

"=".Amount preemphasis applie! in M broa!casts75 #sec

"='.M #tereo #ubcarrier freuency38 kAB

"=3.>ype of antenna polariHation use! in M broa!casts*irc#lar

"=0.Iumber of horiHontal lines in a I>#C teleision frame525 lines

"=1.:nterme!iate reuency Ran&e for >eleision41 47 =AB

"=*.>he relationship between pitch an! freuency is FFFFFFIonlinear

"=.:n carbon microphone7 when a compressin& soun! wae stri;es the !iaphra&m7 it pushes on the plun&er an! compacts the carbon&ranules7 FFFFFFFF the contact resistance between them

ecreasin

"=/.:f 6 of the inci!ent soun! ener&y is absorbe!7 the absorption coefficient is sai! to be FFFF0.70

"==.:f the combine! leel of two noise sources is /6!B an! the leel with one of the sources turne! off is 1!B7 what is the leel of theremainin& source8

78.3 d

'66.A combine! soun! hain& a lou!ness leel of /6 phons with secon! soun! of /1 phons is FFF86.2 +,ons

'6".Parts of D#? transceier which allows simultaneous PO># an! !ata serices.s+litter

'6'.>he only switchin& stan!ar! which proi!es "66 error free !eliery en! to en!.F.25

'63.A loa!e! cable is !esi&nate! as '09'0. Calculate the in!uctance of the coil in m9.24


9/9

'60.>he only switchin& stan!ar! which proi!es "66 error free !eliery en! to en!.F.25

'61.9ow many :#DI Bchannels woul! be reuire! to transmit a =*6 ;bps i!eo si&nal815

'6*.>he half !uple$ microwae system operates in the freuency ran&e of 1.* 4 .1 59H. :f the channel ban!wi!th is '6 M9H. 2hat isthe appro$imate center freuency of the 1*th channel8

6710 =AB

'6.FFFFFF Dielectric Coa$ial Cable is recommen!e! for use with pressuriHe! microwae ra!io relay systems an! antennas hain&unpressuriHe! fee!s

oam

'6/.2hen the transmittin& an! receiin& antennas are in ?O# of each other the mo!e of propa&ation is FFFFFF wae+ace

'6=.>he !i&ital microwae transmitter has 36!Bm power output7 6.1!B transmission line loss7 an! '1!B !ish &ain. Assumin& theoperatin& freuency is ' 59H an! the receiin& antenna &ain is 3!B. Calculate the effectie ra!iate! power

282 H

'"6.:f the microwae transmitterM" frame.125 microsec

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