REPR PRES ESENTAT ENTA TIV E Q UEST UESTIO NS O F TEST PAPE PA PER R
A BRIEF INTRODUCTION TO THE WRITTEN TEST .
The w ritten test test is a n a ptitud e e xa mination d esi esign ed to t est est your ge neral intell intelliige nc e a nd b a sic und erstand erstand ing of Ma them a tic tic s, Ap p lied lied Sc ienc es / Enginee ring a nd Ana lytic ytic al/ log ic a l thinki thinking ng . This written written te st is like like GR G RE Eng inee ring. To help h elp you in p re p a ring fo r the w ritten itte n te st, a b rief outline o utline o f this te st is p re sen te d b elow . Som e o f the q uesti uestions ons ma y req req uir uire n ume ric a l ca lc ula ula tions tions,, so you must bring your own calculator. ITM IT M AY BE NO TED THA HAT T WRITING ING TA BLES M AY NO NO T BE A VAILABLE ILA BLE DURIN DURING G THE WRITTEN TEST. THER THEREFORE FORE, A LL C A ND NDIDA IDAT TES ARE ADVIS AD VISE ED TO BRING THE HEIR IR OWN OWN WR WRIT ITING C LIP BO BO ARDS FO R THE HEIR IR CO NV NVE ENIENC NIENCE E DURIN URING G THE WRIT WRITTEN TEST. The instruct instructiion s sheet he et th a t will will a c c om p a ny the a c tua l w ritten tes te st is is a tta c hed . Rea d th thes ese e instruction instructions s carefully now to save time during the examination. In order to give you an idea of the nature of the written tes te st, som som e rep resen esen ta tive q uestions uestions a re a lso e nc losed losed .
WRIT WRITTEN TESTOUTLIN LINE. The q uestion uestion p a p er is is d ivid ivid ed into two tw o p a rts i.e. i.e. Pa Pa rt (A) a nd (B). (B). Ther he re w ill b e 50 q uestions uestions in Pa Pa rt (A) a nd 50 Que stions in Pa Pa rt (B). (B). Pa rt (A) is is the g ene ra l p a rt to b e a ttemp tte mp ted te d b y all the c a nd ida tes te s w her he rea s Pa rt (B) (B) is is the subject part having subject papers. Only the subject paper relevant to the candidate’s academic ba ckground ckground m ay b e a ttemp ted b y the ca ndidate. The c and ida te shoul should d mention mention the subj subjec ec t p ap er he/ she is a ttem pting b y fill filliing the a p p rop ria te sec tion tion of the a nswe nswe r shee t. The ma ximum time time a llowe d is 3 hours. hours.
1) Gene ral Part: Part: a) It consists of three field namely Mathematics, Physics and English. b) General Part Part must must be a ttempted by all the the c andida tes c ) General Gene ral Part Part will have ha ve 50 questions questions in all. 20 from from Ma Mathem thematic atic s & Physics ree rees spec pe c tively and 10 ffrom rom English nglish i) Ma the m a tics tic s (Lev (Lev el F.S F.Sc a nd B.Sc ) Ba sic Ca lculus Vec to r Alge b ra
Differential Differential Eq ua tions Ma tric tric es
Co mp lex Va riab les Sta tistics tistics
Boo lean lea n Alge b ra
ii) ii) Phys hy sic s (Le (Le ve l F.S F.Sc a n d B.Sc ) iii) Eng lish lish
2) Subject Part: It consists of papers from the following basic fields. Each of these papers will have 50 questions qu estions in all. a ll. Phys hy sic s Elec trica trica l / Elec Elec tron troniic s / Telec Telec om mu munica nica tion Chemistry
Mechanical
Chem ic al
Meta llurgy urgy / Ma teri terial
Computer
Mechatronics
Civil Civil
Ge olog y / Ge o Physi hysic s
a ) Only Only one of these these subjec subjec t pa p ers ers relevant to the c and ida tes b ac kground m ay be a ttemp ted b y the candidate. b ) The c a nd ida te should should m ention the sub sub jec t pa p er he/ she is a ttem p ting ting b y fill filliing the a p p rop riate sec tion tion of the a nswe nswe r she et
Page 1 of 9
REPRESENTATIVE QUESTIONS OF TEST PAPER
IT IS IMPORTANT TO NOTE THA T IN ORDER TO QUALIFY THE WRITTEN TEST YOU HAVE TO QUALIFY IN EACH PART SEPARATELY. THEREFORE YOU ARE STRONGLY ADVISED TO ATTEMPT QUESTIONS IN BOTH THE PARTS. ***************************************** Deta ils Of Top ic s And The ir Sha re In The Sub jec t Pa rt Of The Q ue stion Pa per
PHYSICS RELATED TOPICS SHARE Mechanics , Waves, Thermodynamics All topics have equal share in the paper Electricity and Magnetism, Light and optics and Modern Physics CHEMISTRY RELATED TOPICS SHARE approx. 15% Analytical Chemistry (Classical Quantitative Analysis, Instrumental Analysis) Inorganic Chemistry (Basic Chemistry of Elements, Periodic & family trends, Electronic & approx. 25% Nuclear Structure, Transition Metal / Coordination Chemistry) Organic Chemistry (Conversion of functional groups, Reactive intermediated and approx. 30% reaction mechanisms, molecular structure) Physical Chemistry (General Chemistry, Classical and Statistical Thermodynamics, approx. 30% Quantum and Structural Chemistry, Kinetics) MECHANICAL RELATED TOPICS SHARE Mechanical Design and Anlysis approx. 30% Kinematics, Dynamics and Vibration approx. 15% Materials and Manufacturing approx. 15% Thermodynamics and Energy Convesion Processes approx. 20% Heat Transfer, Fluid Mechanics and Hydraulic Machinery approx. 20% ELECTRICAL / ELECTRONICS / TELECOMMUNICATION RELATED TOPICS SHARE Basic Electrical Engineering, (Electric circuits, Electric and Magnetic Field Theory and approx. 45% applications, Digital Logic) Electronics, Electronic Circuits and Components approx. 20% Controls and Communications Systems approx. 15% Power approx. 20% CHEMICAL RELATED TOPICS SHARE Mass/Energy Balances and Thermodynamics (Mass Balances, Energy Balances and approx. 20% Thermodynamics) approx. 20% Fluids (Fluid Transport, Mechanical-Energy Balance, Flow Measurement Techniques, approx. 20% Heat Transfer (Mechanisms, Applications, Mass Transfer (Phase Equilibria, Mass Transfer Contactors (Absorption, Stripping, approx. 20% Distillation, Extraction, Miscellaneous Separation Processes)
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REPRESENTATIVE QUESTIONS OF TEST PAPER Kinetics (Reaction Parameters, Reaction Rate, Reactor Design & Evaluation. Heterogeneous Reaction Systems) Process Control METALLURGY/MATERIAL RELATED TOPICS Physical Metallurgy, Mechanical Metallurgy Thermodynamics & Phase Transformations Ferrous & Non-ferrous Alloys and Their Extraction Composites, Polymers and Ceramics X-ray Diffraction + Optical Metallography + Electron Microscopy + Non Destructive Testing Corrosion and Surface Engineering Material Processing COMPUTER RELATED TOPICS Programming Operating Systems Data Structures Computer Architecture Networking Others (databases, software engineering, discrete mathematics etc.) CIVIL RELATED TOPICS Environmental Geo-Technical Structural Transportation Water Resources MECHATRONICS RELATED TOPICS Basic Mechanical Engineering Electrical & Electronic Engineering Systems Design Engineering Control Engineering Computer Engineering &Science Robotics and Factory Automation GEOLOGY / GEO PHYSICS RELATED TOPICS Plate Tectonic / Earthquake Physical Geology Structural Gelogy Petrology Mineralogy
approx. 10% approx. 10% SHARE
All topics have almost equal share in the paper
SHARE approx. 18% approx. 18% approx. 18% approx. 18% approx. 18% approx. 10% SHARE approx. 20% approx. 20% approx. 20% approx. 20% approx. 20% SHARE 10% 30% 10% 30% 10% 10% SHARE
***************************************** Page 3 of 9
REPRESENTATIVE QUESTIONS OF TEST PAPER PAKISTAN INSTITUTE OF ENGINEERING AND APPLIED SCIENCES ADMISSION TEST TIME ALLOWED: Three (3) hours ROLL NO:
SERIAL NO
NAME:
EXAM CITY: (Use BLOCK Letters)
SIGNA TURE:
SUBJECTOPTION FOR PARTB:
READ THE FOLLOWING INSTRUCTIONS CAREFULLY BEFORE ATTEMPTING ANY QUESTION. 1.
Ma ke sure that your pa p er c onsists of ... she ets (1 title p a g e typ ed on o ne side o nly, …pa ges of questions typed on both sides and 4 empty sheet for rough work). Make sure that the question book given to you contains hundred (100) questions in all i.e. Fifty (50) questions in Part (A) and Fifty (50) q uestions in ea c h o f the sub jec t p a p ers in Pa rt (B).
2.
Ma ke sure tha t you a re provided with an a nswe r shee t for the Ge neral Pa rt (PART A) an d the Sub jec t Part (PARTB).
3.
YOU MUSTWRITE YOUR ROLL NO., NAME, EXAM CITY, SUBJECTOPTION FOR PARTB ON THIS PAGE AND ON THE ANSWER SHEET. PUTYOUR SIGNATURE ON THIS PAGE AND ALSO ON THE ANSWER SHEETONLY IN THE SPACE PROVIDED. a. You m ust enter your Roll No on the answer sheet in the sam e m anner as explained in the exa mp le shown o n your answer sheet. b. You must enter your Subject Option for Part B on the answer sheet in the same manner as explained in the example shown on your answer sheet. c . You must not bend, roll or fold the answer sheet.
4.
Afte r the test is over, p ut your a nswe r she et inside the q uestion b oo k and return it to the exam iner.
5.
On your answer shee t for ea c h q uestion the re a re FOURc hoice s (i.e. A,B,C,D). Fill the ap p rop riate c ho ic e only with the black m arker. You must no t e ither ove rwrite o r fill multip le c hoice s.
6.
Ea c h c orrec t a nswer will c a rry THREE marks. ONE m a rk will be d ed uc ted for eac h inco rrec t answe r.
7.
The q uestion p a p er is d ivid ed into tw o p a rts i.e. Pa rt (A) and (B). In ord er to q ua lify the w ritten te st you ha ve to q ualify bo th the p a rts. Therefore, you a re strong ly a dv ised to a ttem p t a s ma ny que stions a s you c an in bo th the p arts.
8.
You can carry out your rough work anywhere in the question book as well as on the empty sheet provid ed. DO NOTUSE THE ANSWER SHEETFOR ROUGH WORK.
9.
Put your pe ns d ow n a s soo n a s you he a r “ STOP WRITING” , otherwise your pa pe r ma y be c anc eled.
10.
Mob ile pho nes are stric tly prohib ited in the Exa m ination Hall.
11.
You c an use you r ow n c alc ula tor only. Borrow ing c a lculato r is not a llowe d .
12. Any one found using unfair me ans will be d isqualified.
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REPRESENTATIVE QUESTIONS OF TEST PAPER
PART (A) (GENERAL PART) Q.1.
y
=
(A) Q.2. (A) Q.3.
ln
( x)
dy
4
Mathematics is solution of the d ifferentia l eq ua tion 2
e
4 x
dy
(C) 4
dy
1
(D) none of A,B,C. 2 dx x dx dx The differential eq ua tion rep resenting the fam ily of c urves xy= c is:
dx
dy dx
=
=1
(B)
d y
(B)
dy dx
=
+
=
−1
4
(C)
x
dy dx
=
−
y
x
=
(D)
dy dx
=
−
x
y
Whic h of the follow ing is c orrec t? (A) a × b + c
=
a× c
(C) a × b + c
=
a ×b
+ +
b+ c
(B) a × b + c
a ×c
(D) a × b + c
= =
a×b c + a× c b a +b
×
c.
And so on Physics Q.1. The a ve ra g e d ista nc e from the sun to the e a rth is a p p ro xima te ly 93 m illion m iles. The a p p roxima te sp ee d (km p er sec ond ) of the ea rth in its orbit a round the sun is c losest to : (A) 5 (B) 10 (C ) 20 (D) 30 Q.2. A whe el is revo lving a t a stea d y ra te o f 120 rev/ min., its a ng ula r veloc ity in ra d ia ns p er sec ond is then c losest to : (A) 2π (B) 4π (C) 6 π (D) 8 π Q.3. Pow er c on sum ed b y tw o 100 W b ulbs in series sup p lied w ith 220 vo lts a c w ill b e: (A ) 200 W (B) 100 W (C ) 50 W (D) 25 W And so on English Questions: 1 – 3 The Richter sc a le is a num eric al loga rithmic sc a le deve lop ed a nd introd uc ed b y Cha rles R. Richter in 1935 to mea sure the am plitude o f the largest trac e rec orde d b y a stand ard seismo grap h one hund red kilomete rs from the ep ic ente r of a n ea rthq ua ke. Ta b les hav e be en formulate d to d em onstra te the magnitude of any earthquake from any seismograph. For example, for a one-unit increase in magnitude, the re is a n inc rea se o f times thirty in relea sed ene rg y. The Ric hte r sc ale c onside rs ea rthq ua ke of 6.75 a s grea t and 7.0 to 7.75 a s ma jor. An ea rthqua ke tha t rea d s 4 to 5.5 would b e expec ted to c ause loc alized da ma ge , a nd tho se of mag nitud e 2 ma y be felt. It is estima ted tha t almost one million ea rthq ua kes oc c ur ea c h yea r, b ut mo st of them a re so m inor that the y pa ss unnotic ed . Q.1 What d oe s this p a ssa ge ma inly disc uss? (A) C ha rles F. Rich te r (B) Seismogra p hy (C) Ea rthq ua kes (D) The Rich te r sc a le Q.2 Ac c ording to the informa tion in the p a ssa ge , wha t d oe s Ric hter sc a le rec ord? (A) History (B) Biog ra p hy (C) Ge olog y (D) Ma the matics Q.3 Ac c ording to the Ric hter sc a le, whic h of the follow ing num be rs wo uld ind ic a te tha t there ha d proba bly bee n da ma ge to the immed iate a rea o nly? (A) The distanc e from the ep ic enter (C) The de gree of da ma ge (B) The a mp litude of the large st tra c e (D) The loc a tion of the ep ic ente r And so on
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REPRESENTATIVE QUESTIONS OF TEST PAPER
PART (B) (SUBJECT PART) Physics o
Whic h of the follow ing ha s a n up p er limit of λ = 18760 A for hydrogen spectral series? (A) Balmer series (B) Lyma n series (C) Brac kett series (D) Pa sc he n series −34 −19 Q.2 If h = 6.63 × 10 J-s, e = 1.6 × 10 C, then unc ertainty in the ene rg y of a p hoto n which is em itted from a n a tom in ap p roxima tely 0.01 microsec ond is 26 (A) 6.4 × 10 19 er s (B) All of the othe rs (C) 4 × 10 7 ev (D) 6.4 × 10 J Q.3 Whic h of the follow ing c ould not be explained on wave nature of rad ia tion? (A) interferenc e of ligh t (c) p olariza tion of elec trom a gne tic (B) d iffra c tion of light (D) p ho toe lec tric em ission And so on Chemistry Q.1. Whic h of the follow ing sta tem ents is c orrec t a b out chem ic al eq uilib rium ? (A) At eq uilibrium no mo re reac tan ts a re transformed into p rod uc ts (B) At eq uilib rium the ra te c onsta nt for the forward a nd reve rse reac tion a re e q ua l (c) At e quilibrium there a re e qua l amo unts of reac tants and p rod uc ts (D) At e q uilib rium the fo rwa rd an d reve rse ra tes a re e q ual Q.2 How ma ny a toms of oxygen are p resen t in 5.6 liters of SO2? (A) ¼ · 6.02×1023 (B) ½ · 6.02×1023 (C) 1.0 · 6.02×1023 (D) 2.0 · 6.02×1023 Q.3 Mo lec ules of a n id ea l ga s exert a forc e on the c onta iner wa llsd ue to (A) Surfac e tension o f the ga s (B) Co hesion b etw ee n mo lec ules of g a s & its c ont a iner wall (C) Gravitational rep ulsion a t the wa ll (D) Co llision b etw ee n mo lec ules of the ga s & its c onta iner wa ll And so on Mechanical Q.1 An inc lined p lane is often used to a ssist in lifting he a vy ob jec ts. This is d one since th e: (A) Forc e is red uc ed (B) Work is red uc ed (C) Poten tial ene rg y is inc rea sed (D) Weight is inc rea sed Q.2 For a ma ss suspend ed by a sp ring, a t ma ximum d isp lac em ent (k = sp ring c onsta nt, a is displac em ent am plitude) (A) Kinetic e nerg y is zero, po ten tial ene rg y is kA2 / 2 (B) Potentia l en ergy is zero, kine tic e ne rgy is kA2 / 2 (C) Both kinetic & p ote ntial energy co ntribute eq ually to g ive a tota l energy o f kA2 / 2 (D) Poten tial ene rg y is less tha n kinetic e ne rgy Q.1
−
−
−
Q.3
For a ga s tha t is a llowed to expa nd reve rsib ly a nd a diab a tica lly there is no cha nge in (A) Inte rna l ene rg y (B) Tem p erature (C) Entrop y (D) Both a a nd b And so on Elec trica l/ Elec tronic s/ Telec om munic ation Q.1 If the ca p a c itor C is initially c ha rge d to 2 V in the follow ing figu re the value of outp ut voltag e afte r 2ms of c losing o f switch is: Vo
(A) (B) (C) (D)
3V 2.5 V 1.5 V 4.5 V
R=1 k ohm 5V
10 micro F
Page 6 of 9
REPRESENTATIVE QUESTIONS OF TEST PAPER
Q.2
The digital logic circ uit show n in the following figure is a n imp lementa tion of (A)
Two inp ut multip lier
(B)
A fa lse c irc uit
(C)
Two inp ut Sub tra c to r
(D)
Two inp ut a d d er
Q.3
The effec t of the neg a tive fee d b a c k on a n a mp lifier is to (A) increa se gain (B) ma ke the a mplifier osc illate (C) imp rove d sta b ility (D) b oth (A) a nd (C) And so on Chemical Q.1. A 10 c m d ia me ter sp heric al stee l b a ll a t 80°C is sudd enly q uenc hed in a large b ucket of w ate r a t 20°C. If the a verag e he a t tra nsfer c oe ffic ient is 10 W/ m2-s, the initia l coo ling ra te of ba ll isc losest to : (A) 18.8 W (B) 6.3 W ( C) 4.7 W (D) Ca n no t b e c a lcula ted from this d a ta Q.2. A ga s p ha se rea c tion ta kes p la c e on the surfac e of a c ylind ric a l c a talyst pa rtic le. If the p roc ess is c ontrolled b y the diffusion o f rea c tan ts on the c a ta lyst surfac e tha n b y do ub ling the c a ta lyst surfac e area the rate o f rea c tion w ill be: (A) Doub led (B) Inc rea sed 4 time s ( C) Red uc ed b y Ha lf (D) Unc ha nge d Q.3. Wate r flows in a 3 c m ID U-be nd p ipe with a flow rate of 0.5 kg/ s a s shown below. The force in the spring will be: (A) 4.9 N (Compressive) (B) 4.9 N (Extensive) (C) 0.707 N (Compressive) (D) 0.707 N (Extensive) And so on Metallurgy / Material Q.1. The em p iric a l rule to p red ic t the existenc e of solid solub ility isc a lled (A) Leve r Rule (B) Hund ’ s Rule (C) Henry’ s Rule (D) Hume-Rothery’s Rule Q.2. In F.C.C lattice the p a c king seq uenc e of a tom s is (A) AB AB AB __ __ (B) BC BC BC __ __ (C) AC AC AC __ __ (D) ABC ABC __ __ Q.3. In sc rew disloc ation, the d isloc a tion line is (A) p a ra llel to b urge r’ s vec tor (B) pe rp end ic ula r to b urge r’s vec tor (C) a t an angle of 30o to the b urg er’s vec tor (D) None of A, B, C. And so on Computer Q.1 The term ‘ wo rd ’ in c om p uter terminolog y refe rs to: (A) Bits forme d into g rou ps (B) Co ded instruction s (C) Sto red instruc tions (D) Prog ra mm ing lang ua ge used Q.2 A netw ork of g eo g ra p hic a lly d ista nt c om p uters an d terminals is c a lled a (A) Bus (B) WAN (C) LAN (D) Hub
Page 7 of 9
REPRESENTATIVE QUESTIONS OF TEST PAPER
Q.3
The CMOS c irc uit shown in the follow ing fig ure, is a n impleme nta tion of V n
S
S
D
D
V o D
V
(A)
NOR ga te
D
(B)
NAND g a te
S
(C)
AND ga te
(D)
None of the othe rs
S
n channel V
And so on
Civil Q.1.
In the Mo hr’s stress c irc le, the c en tre ha s c oo rd inat es (A) (0, 0)
Q.2.
Q.3.
(B) (σx, σy )
(C) [0, 0.5 (σx + σy )]
(D) [0.5 (σx + σy ), 0]
The sta tem ent tha t a fluid ’ s veloc ity of flow throug h a po rous m ed ium is d irec tly relate d to the hydraulic g ra d ient, is known a s (A) Ho o k’s La w (B) Sto ke’ s La w (C) New to n’ s La w (D) Da rc e y’ s La w How m uc h a xia l loa d c a n a c om p ressio n b loc k (c ro ss-sec tion = 100 b y 100 mm ) c a rry if its rup ture stresses in c om p ression a nd she a r a re 20 and 9 MPa resp ec tively?
(A) 200 kN And so on
(B) 90 kN
(C ) 180 kN
(D) 400 kN
Mechatronics
Q1.
Polling is a me tho d used for (A) de termining the sta te o f the mic rop roc essor (B) establishing communication between the CPU and peripheral (C) esta b lishing a p riority for c om munic a tion with seve ra l pe rip herals (D) de termining the next instruc tion Q2. Selec tive Co mp lia nt Assem b ly Rob ot Arm (SCA RA), ro b o ts a re b eing inc rea singly used fo r (A) loa ding / unloa ding c onveyor system s (B) la rge area c over (C) providing intric a te m ovem ents (D) assem b ly op erations p a rticularly in the field of elec tronic s Q3. The Nyq uist plot of loo p tran sfer func tion G(s) H(s) o f a c losed loo p c on trol syste m p a sses throug h th e p o int (-1, j0) in the G(s) H(s) pla ne . The p ha se m a rg in o f the system is (A ) 0° (B) 45° (C ) 90° (D) 180° And so on
Page 8 of 9
REPRESENTATIVE QUESTIONS OF TEST PAPER Geology / Geo Physics
Q1.
Q2.
Q3.
The Sun is p a rt of the : A) Asteroid be lt. C) Milky Way g a la xy. The mo st d ense p la ne t is: A) Jupiter B) Ven us
B) Oo rt Cloud b elt. D) none of these.
C) Ma rs
D) Ea rth
The p ortion o f the c ontinenta l ma rgin that m a rks the true ed ge of the c ontinent is the: A) a b yssa l p lain. B) c ont inenta l rise. C) c ontinenta l slope . D) c ontinenta l shelf.
And so on
Page 9 of 9
