1. If a population population is increasing increasing exponentially exponentially at the rate rate of 2.5% per year. year. After After approximately how many years will the population doubled? ode &tat then 5 a. 25 years c. 28 years ! 1 b. 35 years years d. ! year yearss 1 1.!25 6ress 2 shift 1 ' + 2. "hat is the the allowable allowable error error in measuring measuring the edge of the the cube that that is intended to hold # cu.m if the error in the computed $olume is not to exceed !.!3 cu.m? a. !. !.!!1 m c. !.!!2 m b. 0.0025 m d. !.!!3m 7 + # cu.m 7 + &83 + # d$ + !.!3 cu.m 3. he portion portion of the sphere sphere that is bound bound by the two two+ intersectio inters ns of two 8 ections parallel planes with the sphere. a. Zone c. &pherical &egment b. &pherical &ector d. &pherical "edge . he central central angle subtended subtended by an arc arc of a segment segment of a circle circle is 1.3 radians. radians. he area of the segment is 1' s(uare inches. )ind )ind the radius of the circle. a. # inches inches c. * inche inchess b. 10 inches d. 12 inches A+ 9 :2 ;< = sin <> 1' + 9 : 2;1.3 = sin 1.3> 5. If xy+12, xy+12, -nd -nd the minimum minimum $alue $alue of x3y x3y.. a. 1! c. 12 + @produc ;cy 0cx> x+3 b. 15 d. 24 ;sub x3y> /. A body mo$es mo$es in in a straight straight line so that that a+3$, a+3$, where where a is in m0s2, and $ is in m0s. If s+3m when $+1.2 m0s, -nd the $alue of $ when s+1!m. a. 15.2 m0s c. 1'.2 m0s dt+d$0a Cd$ + C3ds b. 2!.2 m0s d. 22.2 m/s +3;1!> B'.# dt+ds0$ 7 + 3& D + 22.2 m0s '. he forces forces in osnia uses uses a type of of missile that hits hits its target target with a d$0a + ds0$ 1.2 +3;3> D probability of !.3. 4ow many missiles should be -red so that there is at least an #!% probability of hitting the target? a. 3 c. b. 5 d. / p+!.3 6 + 1 = ;(> n ( + !.' #!% + 1 = #. A rectangular rectangular box box with an open top top is to be formed formed from a rectang rectangular ular piece n of cardboard which is /cm by 1/ cm. 4ow many cm should be cut from each corner to form a box with maximum with maximum $olume? a. 1 c. / b. 4/3 d. 503 7 + ;1/B2x> ;/B2x>;x> + 03 , +/ *. It refers refers to the result result of integratin integrating g the same function function more more than once. once. a. umerical integral c. Multiple integral b. Inde-nite integral d. Integrand 1!.A polygon ha$ing all its $ertices on the circumference of a circle
a. Isogon b. )re(uency polygon
c. Cyclic polygon d. :egular polygon
11.A certain amount of #!% sugar solution added to another amount of !% sugar solution yields a solution that contain 1 Eg of sugar. 4ad the amount been re$ersed, the solution would ha$e contained 1/ Eg sugar. 4ow much of the #!% solution was there? a. # Eg c. 12 Eg b. 10 kg d. 15 Eg #!%x !% y + 1 x +1! 12.A man walEs a certain distance at the rate of 5Eph and returns at a rate of Eph. If the total time that it taEes him is 3 hours and 3/ min, what is the total distance that he walEs. a. 1!Em c. 1 Em d1 + 5 5x + ;3./Bx> b. 12 Em d. 1 km d1 + d2 +# 13.A piece of wire is # inches long. he wire is cut into two pieces and then each piece is bent into s(uare. )ind the length of the longer piece if the sum of the areas of these two s(uares is to be 2 s(uare inches. a. 4 inches c. 5 inches A + ;x0>82 H ;#Bx>082 + 2 b. .5 inches d. 5.5 inches + in 1.he perimeter of a circular sector whose central angle is /! is 1ft. )ind the radius of the circle. a. 4. !t c. 5 ft 6 + 2r & b. .# ft d. 5.2 ft 1 + 2r r;J03> 15.he geometric mean and (uadratic mean of two numbers are # and 22./' respecti$ely. )ind the arithmetic mean. a. 1" c. 1* @xy + # xy +/ b. 1# d. 2! @;x82y82>02 + 22./' x82y82 + 1!2# A + ;xy> 0 2 ;xy>82 + 115/ x822xyy82+115/ 1/.A certain radioacti$e substance has a halfBlife of 3# hours. 4ow long does it + 3 taEe for *!% of the radioacti$ity to be dissipated? a. 12!h c. 122h b. 12h d. 12h 1 1 !.1x + 12/ 3# !.5 1'.he representation of a complex (uantity F+xGy where x is the real part and y the imaginary part, by a point 6 whose Dartesian coordinates are x and y. a. #rgand $iagram c. odulus b. Argument d. AFimuth 1#.2 red booEs, 3 yellow booEs, and blue booEs are placed at random on a shelf. "hat is the probability that red booEs to be together? a. 2/% c. 1012 + ;2K> ; 'K> ;#> 0 *K
b. 1021
d. 1021!
1*.hree numbers are in arithmetic progression. heir sum is 15, and the sum of their s(uares is ''. )ind the lowest number. a. 1 c. 3 xBd ;xBd> x ;xd> +15 b. 2 d. 4 x 3x +15 xd x+5 ;5Bd>82 582 ;5d>82 + '' d+1 thus ;5B1> + 2!.A stacE of log has /1 bricEs in the bottom layer, 5# in the second layer, 55 on the third and so on until there are only 1 log in the last layer. 4ow many logs are there altogether? a. /5! c. /52 b. 51 d. /53+2! O;/1B3> +! 21.An electronic engineer in$ented an engine using a 1/! deg D geothermal heat. It exhaust at 2! deg D atmosphere. "hat is the maximum eLciency of an engine? a. 32.33& c. 53.33% b. 2.33% d./3.33% max + 1 = 201 + 1 = ;2!2'3>0 ;1/!2'3> 22.)or an intrinsic silicon at room temperature, the electrical conducti$ity is x1! B ;MBm>B1. he electron and hole mobility is !.1 and !.!# m0s. Dalculate the electron and hole concentration at room temperature. a. 1.33 ' 101 c. .5/ xp+n 1! 1/+ P 0 QeQ ;Re Rh> 12 b. 2.5' x 1!1/ d. 1!.32 x1!+ x1! B 0H;1./ x 1! B1*> ;!.1!.!#> 23.A car starting from rest accelerates at a rate of 1! m0s 2 passing through a circular cur$e with radius of 1!!!m. 4ow far will the car go before the normal acceleration e(uals the tangential acceleration? a. 25! m c. '5! m 2 $2 + $o2 2as b. 500 m d. 1!!!m a + $ 20: 1! + $ 0 1!!!m 1!! 2 + !2 2;1!>s 2.A $ending coNee machine usually contain !.'2 to !.#1 ounce0cup of coNee at an a$e. "hat is the probability that !.'5 and !.'# ounce0cup will be purchased. a. 1/3 c. 1 b. 203 d. 03 2 = 1 0 b = a !.'# B!.'5 0 !.#1 = !.'2 25.An engine operates with an eLciency of 25%. "hat power in 0hr is needed to operate at 2hp? a. 20(355 )*+/hr c. # 0hr S + "0T b. 25. 0hr d. 1/ 0hr T + 2hp0!.25 + #hp #hp x 25. 0hr + 2!,355 0hr
26. A laboratory experiment was performed to determine the percent by mass of water in a hydrate. The accepted value is 36.0% water whose observed value has an error of 5.00%. ind the percent by mass of water. 3/% x 1.!5 c. 37.8% a. 3!.0% water b. 36.0% water d. "!.0% 2#. $alculate the ratio of the rate of diffusion of hydroen to the rate of diffusion of oxyen. &ow fast does hydroen diffuse than oxyen' (iven) *ensity of oxyen is 0.0+,, - and the density of hydroen is !."3 -. a. /ne c. Three d. Four b. Two
(
)
√ ρ Hydrogen Rate of diffusion = √ ρ Oxygen
−1
=
Rate of diffusion of hydrogen Rate of diffusion of oxygen
=¿
2+. $alculate the volume in itres1 occupied by #."0 of & 3 at T4 tandard Temperature and 4ressure1. olar ass of & 3 is !#.03. c. 9.73 L a. +.#3 b. !0.#3 d. !2.#3 7 + '.!g 4 3 x
1 mol 43 x 1'.!3g 4 3
22.U + *.'3U 1 mol 4 3
;econi
2,. A silicon chip used in an interated circuit of a microcomputer has a mass of 5.6+m. &ow many silicon i1 atoms are present in this chip' a. 5.6x!073 atoms c. 1.22x10 20atoms b. 2.02x!0!0atoms d. 2.22x!0 20atoms 5.6+m i x
! i x !000 m i
!mol i x 6.022x!0 23 = !.22x!020atoms 2+.0+ i ! mol i
30. aterial a is a water and material b is a lass with index of refraction !.52. 8f the incident ray ma9es an anle of 60 o with the normal find the direction of the reflected ray. a. ",.3o c. 60o b. ,!.3o d. 3".# o Accordin to law of reflection θr =θa hence if o
θa= 60
3!. The wavelenth of the red liht from a helium7neon sensor is 633 nm in air but "#" nm in the a:ueous humor inside our eyeballs. $alculate the speed of liht in this substance. c. 1.25 x 1! # m0s a. 2.25 ' 108 m/s d. 3.!! x 1!# m0s b. 3.25 x 1! # m0s
or the velocity of liht in this index we have) 8
8
c 3.00 x 10 m / s 2.247 x 10 m 8 v = = = ≈ 2 . 25 x 10 m / s (a) n s 1.335
32. A cylinder pressure vessel is fabricated from plates which have a thic9ness of 25mm. The diameter of the pressure vessel is "50 mm and its lenth is 3.5m. *etermine the maximum internal pressure which can be applied if the stress in the steel is limited to !504a. a. !5.334a c. !#.534a b. 16.67MPa d. !+.+34a σ t =
ρ D 2t
150 MPa =
ρ ( 450mm) 2( 25mm)
ρ = 16.67 MPa
33. >hat is the minimum diameter of a solid steel shaft that will not twist throuh more than "? in a 6m lenth when sub@ected to a tor:ue of !397m' >hat max shearin stress is developed' (=+5 (4a a. 107.6mm c. !2!.,mm b. !!3.3mm d. !26."mm θ =
4° x
TL JG
π
180°
=
13k (6) π ( d ) 4 32
85 x10 9
d = 107.57mm
3". uppose that you ma9e !2 e:ual annual deposits of 42000 each into a ban9 account payin +% interest per year. The first deposit will be made one year from today. &ow much money can be withdrawn from this ban9 account immediately after the !2 th deposit' c. P37,954 a. 435",2 b. 4362!+ d. 43+#55
(1 + i) n − 1 F = A i = P2000(F/A, 8%,12)
= P37,954.25
35. >hat is the effective rate of interest if 4!000 is invested at a nominal rate of !5% compounded :uarterly' a. 15.86% c. !#.+6% b. !6.+6% d. !+.+6% 4
0.15 − 1 = 15.86% ieff = 1 + 4
36. This process can be used to measure achievement in Total uality anaement T1 system. Also it provides the essential control and measure feedbac9 loop necessary for :uality improvement a. Bec!mar"#$ b. $ontinuous 8mprovement c. uality chain d. uality circle 3'.Any person who shall $iolate any pro$ision of :A *2*2 or any rules, regulations, the Dode of Sthics and the Dode of echnical &tandards of 6ractice is stated in what section? c. 3' a. 35 b. 3/ d. 3#
3+. Accordin to section "3 ;A ,2,2 shall ta9e effect BBBBBBBBBB followin its full publication in the BBBBBBBBBB or any newspaper of eneral circulation. a. !5 days aw (a
3,. The compensation and allowances of the Coard is comparable to that bein received by the $hairman and members of existin reulatory boards under the $ommission as provided for in the BBBBBBBBBB. a. $ivil ervice c. ;A !,,2 d. )e +ror#at#os +ct b. *ept of Cudet D nt "0. 8t states that E8f a stress is placed on a system on e:uilibrium whereby the e:uilibrium is altered that chane will ta9e place which tends to relieve or neutrali
b. focal di$ergence
d. &nellVs SNect
"2. >hich element has the hihest ioni
.Wal$aniFed steel are steel products coated with a.Darbon c. &ulfur d. icEel ,. Zinc
"5. 8t is the minimum amount of radioactive material needed to sustain a nuclear chain reaction. a. olar ass c. olecular ass b. -r#t#ca( Mass d. Atomic ass /."ho -rst predicted the wa$e particle dual property of electrons? a. 4und c. $e )roglie b. 4eisenberg d. &chrodinger
"#. >ho postulated the wave e:uation that describes the properties of electrons in an atom' a. Cohr c. 4aull d. c!rod#$er b. &eisenber "+. >hat is the measure of lumen output per watt input produced by a liht source' a. illumination c. :uality factor b. candlepower d . e''#cac ",. >hat type of imae will be produced if an ob@ect is farther from a converin lens than to its focal point a. #erted #ma$e
b. same imae
c. virtual imae d. no imae
5!."hat is the other name of streamline Xow? a. urbulent Xow c. -aminar o b. Slectron Xow d. Dash Xow 51.It states that a body which is wholly or partially immersed in Xuid is acted on by an upward force e(ual to the weight of the Xuid displaced. a. &nellVs Uaw c. ernoulliVs 6rinciple b. #rchimedes rinciples d. &uperposition heorem 52.he preferred term for YFero gra$ityZ is a. &upergra$ity c. il b. Micrograity d. il
53.It represents the ownership of the corporation and has residual claim on the assets after all has been settled. a. 6referred &tocE c. ond b. Common tock d. UongBterm [ebt 5.It is the impression of shrinEage, say of a swimming pool to the eyes of an obser$er looEing $ertically downward. a. :eference [epth c. Actual [epth b. #pparent $epth d. :efracti$e [epth 55."hat refers to the $olume elasticity? a. :igidity c. Compressi,ility b. ulE odulus d. oungVs odulus 5/.A robot that has its own computer, and can worE independently of other robots or computers, is called a. Android c. Automated Wuided 7ehicle b. Insect :obot d. #utonomous o,ot 5'.:odney rooEs is best Enown for his worE with a. Spipolar na$igation c. :ange &ensing and 6lotting b. inocular 7ision d. nsect o,ots 5#.A wiring diagram would most liEely be found in\ a. An engineerVs general circuit idea notebooE b. An ad$ertisement for an electrical de$ice c. *he serice/repair manual !or a radio receier
d. A procedural Xowchart 5*.A cell that cannot be recharged is\ a. A dry cell c. # primary cell b. A wet cell d. A secondary cell /!.A "eston cell is generally used as a. A current reference source b. oltage re!erence source
c. 6ower reference source d. An energy reference source
/1.A material that can be permanently magnetiFed is generally said to be\ a. agnetic c. 6ermanently agnetic b. Slectromagnetic d. 6erromagnetic /2.A high tape recorder motor speed is generally used for\ a. 7oices c. [igital [ata b. ideo d. Analogue [ata /3.IDA[ batteries are most extensi$ely used\ a. In disposable Xashlights c. As car batteries ,. In large lanterns d. n handheld radio transceiers
/.]n a spectrum analyser, a pure AD signal ha$ing Gust one fre(uency component would looE liEe a. # single pip c. A s(uare wa$e b. A perfect sine wa$e d. A sawtooth wa$e /5.Is an in-nite array of discrete points generated by a set of discrete translation operations. It shows lattice points. a. :eciprocal Uattice c. )raais -attice b. nimodular Uattice d. ahlerVs Uattice //.Wrowth of the crystal of one face of crystal to another face of crystal. :efers to the method of depositing a monocrystalline -lm on a monocrystalline substrate. a. [oping c. )ilming b. 7pita'y d. Annealing /'.Is a shortBrange digital communications bus speci-cation. It was created for use with automated test e(uipment in the late 1*/!s, and is still in use for that purpose. It is the most important standard instrumentation. a. ISSS 2/' [igital Interface c. 777 488 $igital nter!ace b. ISSS 1*! [igital Interface d. ISSS 5/1 [igital Interface /#.issing holes0atom and relocation of holes0atom in interstitial space0plane which the holes would be in that position. a. 6renkel 7ect c. &chottEy SNect b. 6oole SNect d. unneling SNect /*.Is a ritish physicist, computer scientist and I professor, credited for his in$ention of the "orld "ide "eb, maEing the -rst proposal for it in arch 1*#*. a. S$ans "adongo c. ^ohn "ebby b. *im )urners -ee d. [a$id 4empleman Adams '!.A monostable pentode circuit used to generate sharp pulses at an adGustable and accurately timed inter$al after receipt of a triggering signal. a. hantastron c. agnetron b. hyretron d. _lystron '1.6air up to form bands in electron diNraction from single crystal specimens. ;]rientation &pace> a. iEechi Uine c. ameshi Uine b. 9ikuchi -ine d. agechi Uine '2.A six branch modi-cation of the axwellB"ien bridge, used to measure selfB inductance in terms of capacitance and resistance` bridge balance is independent of fre(uency. a. 4ammilton ridge c. #nderson )ridge b. erman ridge d. auer ridge '3.In a highBtemperature en$ironment application, what types of insulation are best suited for?
a. :ubber, oiled paper )S6 b. :ubber, polytraXuoroeyhylene
c. ]iled 6aper, polytraXuoroeyhylene d. 67( e'truded
polytetrauoroethylene.
'."hich of the following materials insure low hysteresis loss when used for transformer cores and similar application? a. :ard teel c. &oft &teel b. Annealed &teel d. Dast &teel '5."hich of the following does not ha$e a negati$e resistance region? a. $ynatron c. unnel [iode b. &chottEy [iode d. nipolar ransistor '/.he luetooth technology was named after the 1! th century [anish _ing who uni-ed [enmarE. "hat is his -rst name? a. [ennis c. ichael b. :arold d. Weorge ''.In tele$ision, what is called the ghost on the left of the image? a. Ueft Whost c. -eading ;host b. &ide Whost d. Whost eside '#.uilding in a transmission area that has coupling. a. )elix 4ouse c. 6hoenix 4ouse b. :eli' :ouse d. Dabal 4ouse '*.It is a distortion that appears in the $ideo frames. It becomes noticeable as the tele$ision gets larger. a. DocEroach oise c. )lies oise b. Mos
+!. ;adiation doses in the rane of approximately 200 to !000 rad produce the a. (astrointestinal (81 syndrome b. $entral ervous ystem $1 syndrome
c. . /emato(o$#c sdrome d. 4rodomal syndrome
+2. ;atio of incident to transmitted radiation throuh a rid ratio of patient dose with and without rid. a. Buc" 'actor c. (rid ratio b. *amadian factor d. ;oenten e:uivalent +3. An optical electronic device that measures the color concentration of a substance in solution. a. co(or#meter c. flame photometer b. spectrophotometer d. chromatoraph
+". A bloc9 codin techni:ue in which four bits are encoded into a five bit code. c. 4B5B cod#$ a. Caudot b. 2C! Hncodin d. "A-5A Hncodin +5. A phenomenon also called stress corrosion resultin if the lass fiber is exposed to lon periods of hih humidity' a. tat#c 'at#$ue c. catterin oss b. Absorption d. *ispersion #/. The liht enery that is always emitted or absorbed in discrete units
a. iht ;ay b. Coson
c. uata
d. iht
+#. A mammoraphy service examined 32# patients durin the third calendar :uarter of !,,6. #!, films were exposed durin this period eiht of which were repeats. >hat is the repeat rate' c. 1.1% a. "5.5% b. 2."5% d. 5".52% repeat rate=
no. repeated films x 100 totalno.of films
repeat rate=
8 x 100 719
++. *etermine the pea9 fre:uency deviation for a binary I sinal with a mar9 fre:uency of ", 9&< space fre:uency of 5!9&< and an input bit rate of 29bps. a. 1 "/* c. 2I&< b. !.5 9&< d. 2.5 9&<
| | |
∆ f =
∆ f =
f m− f s 2
49 kHz−51 kHz 2
|
∆ f =1 kHz
+,. An optic fiber is made of lass with a refractive index of !.55 and is clad with another lass with a refractive index of !.5!. aunchin ta9es place from air. >hat is the acceptance anle' c. 20.6 a. 22.+J J b. !+.6 d. 23.6 J The fractional difference between the indexes is)
K=n!7n21-n! =!.557!.5!1-!.55 =0.025+ The numerical aperture is found to be) A=n!L2K1 =!.55LM210.025+1N = 0.352 The acceptance anle is) O0max1=sin7!A= sin7!0.352= 20.6 J ,0. *etermine the time ta9en for a sinal to travel down a !0 m transmission line if its velocity factor is 0.#. a. 23.33 ns c. #6.+ Ps d. 47.6 s b. !".52ns T= - Qf x Qc1 T= !0 m- 0.#13x!0+ m-s1 T= "#.6 ns ,!. The ( radio system uses (I in a 2009& +203 ;'B ;B1!!>> + '1.33 d
*.A helical antenna with eight turns is to be constructed for a fre(uency of 1.2 W4F. Dalculate the gain in d a. 14.8 c. 1!. W +; 15&;J[> 2> 0 3 b. 12.5 d. 13.1 *5.A parallelBwire line spaced at 1.2' cm has a diameter of !.21 cm. "hat is the characteristics impedance? a. 300 ohms c. !! ohms o + ;2'/log 2[> 0 d b. 35! ohms d. 5! ohms + ;2'/log 2;1.2>> 0 !.21 */.According to the 6hilippine Slectronics Dode, the aximum accumulated 6ermissible [ose ;6[ of radiation associated with radio transmitter of a /# years old man is a. 23! rems c. 22# rems b. 22! rems d. 250 rems 6[ + 5 ;B1#> *'.[etermine the carrier fre(uency of channel -$e in fre(uency di$ision multiplexing. a. *! E4F c. %2 k:> b. *1 E4 d. *3 E4 fc + ;112 Bn> E4F *#.A pro$ince in the 6hilippines has an area of 2!!! s(. Ems. It has to be co$ered by cellular mobile telephone ser$ice using cells with radius of 2 Ems. Assuming hexagonal cells, -nd the number of cell sites needed. a. 145 c. 11* b. 33! d. 21' **.A certain cellular telephone company has 1!!! cells with 1,!!!,!!! subscribers. If each subscribers uses the phone on the a$erage of 5 mins0day then determine the a$erage traLc in Srlangs per cell. a. '.#* Srlangs c. 12.23 Srlangs b. 23.*! Srlangs d. 31.25 7rlangs A + H;1!!!!!!>x;;5 m0d> ;1d02hx/!m0h>> 01!!! 1!!. A telephone channel has an &0 of 1!2. [etermine the capacity of the telephone channel. a. 30.%% k,ps c. 2#.1! Ebps b. 2.13 Ebps d. 12.15 Ebps D + 3.32"log;1 s0n> + 3.32;3.1E4F>log;1 1!2>
