Page 1
Subject Code: I73ll. WINTER- 15 EXAMINATIONS
Model Answer- Mechanics of Structure Page No- 01137
lmportant lnstruction to Examiners :-
1) The answers should be examined by key words & not as word to word as given in the modelanswers scheme.
2) The model answers & answers written by the candidate may vary but the examiner may try toaccess the understanding level of the candidate.
3) The language errors such as grammatical, spelling errors should not be given more importance.
4) While assessing figures, examiners, may give credit for principle components indicated in thefigure.
5) The figures drawn by candidate & model answer may vary. The examiner may give credit for anyqgVivalent fi gure d rawn.
5) Credit may be given step wise for numerical problems. ln some cases, the assumed contact valuesmay vary and there may be some difference in the candidate's answers and model answer.
6) ln case of some questions credit may be given by judgment on part of examiner of relevant answerbased on candidates understanding.
7\ For programming language papers, credit may be given to any other programme based onequivalent concept.
lmportant notes to examiner
Page 2
WINTER - 15 EXAMINATIOI{SSubject Code: [ ]B I I Mqdel Answer- Mechanics of structure Page No- eZJ 3+
SOLUTION
+
S*o-*e nrrorner,r "l- o f ir err* f e o{ @- +"1' alngolcarrec*rb cr bocrl i*rg bose and a-Pe.d"
,l-, of lt-iarn?olcW seqUn crboqi bae
celboL{+ ryIeX
ef tlne .ir."rl f us of gY 6cn*far:
the trcacl ru+ of pVocq+fw: of ca_ q)
cl.rrgco. o-bou,i comY aa-xr'gr r'g'ibca+ d€larnum tbe a:vern a-xis a-)r co br'ck) 4h
6rn fl'rg c9lT e_ca. I s csss o - qo-l *o be-Cor cem hoo-led cr) itbou,+ cloqmaila q tbe FD.1.o-boui 4he %-tvvn q,:rar-l€ i+ jg demob
Page 3
WINTER - 15 EXAMINATIONSSubject Code: l?3 ll Model Answer- Mechanics of structure Page l{o- CB lZT
SOLUTION
Seffme G lc-ar.l-r c bob y ?i yinl trrro eXcorn eWS
A bod Y r'e sCI-r'cl *o be et cas.+rc tf i+rteScol'ro 6 t'*'6 o.r'gfm ef Siz_e *rnd Sbcafe \^)
e^+wna)tl WPlfeA 44zrce ccllrs f.nq ddrrrt'5 erw +1ze)
Robbr,rrGoSo cc (rc {3.E"1 I ,
s+ oo K S lcou)altrywJ ,i-s loe_cl ed tot'+b,,
'+'< gl codtr't'C \r'rro,i"f-. 't b e. gln e*f R.a orearl f, sdr'treot\Y P.eloPo"-tr'o,pc{r[ 5 tbe. Stcrq,i
S.lTeES o( gta@4'y)
6 ^€_6 : ghne-gs e- = Sfud:n
€.1tole 4 Aqsoropb.rd-r'S f.n eJ€,a.,s: cotrrrrn *f hcd lY t h e co lu rrrn rG ?wa{eB*{l s ,larcoa'
e-nocl 'locoel .-Pptt"ol t'a *t, tt' arx-|cpl
un'l
Page 4
WINTER - 15 EXAMINATIONSSubject Code: l? 3ll Model Answer- Mechanics of structure Page No- 6q/ gT
W Ecoc4
SOLUTION
4be qfiosg - sec-h'cr{) of *be wlom.r) t,s c,,ni'tlr*tP*bo #'_fth e colomn rna-tefted r's kn-{rcqa\ @c4f,.
bo rnogeln eggt e/T 4 i e..+a.,PtC ca/p d tb u_'.
*e>1'-f HooK'$ tco&J.
the- le;:ngth of cotornln ig vo{,a lanqg cas:c-ora?a'ap{ 4o i*'* ctaos s-suq;'rnd dtmenh:,lbe shoq'4&nfm1 oF coto m.^ rl i+tr.
"-l r
OPrT)W-'Qg.f)' 'g T)e44 bg -fr" l'lt.roe <> f cbtorn?n ocrtrt'g .l w-' fobtr Cl( tr''r11 co-l lT)e.
4he-. "coe-.r'#ol of tlre cotCI,')n r'*sa{ r'sry)e*%) e-
Oe-fi'"ne Slerlodezlmexs -o"co+fo . *rn") %.)v,
if '5 grx*.?tegsJ'c4
4b e, 3 I em den.D€-4-$ 4<a*1o is- a.*'-cQA. Qi-co-h'o o f Q9o\'/'!-l srtl lerog +h o f ."t,rto the- le!,6+. c-cnlltus of 31@Se-chrc/T) D
?e: TTeA
L,e- +- k-orrl.n crs Sleadeo?es5lcahno
t^J"1 ha
fuurt
Page 5
WINTER - 15 EXAMINATIOI\SSubject Coder l?3 l1 Model Answer- Mechanics of structure Page No- s5/3?
SOLUTION
itrovr+iq..le bej-.oeern gTrentucul lc>
t'ffifcwl tocec,{
Goco,ol ucd lo rD?eel lotbls tv ?<*of loccclru"n t\ tD h eno I oca-e.l fS caj lour
fn ZsTo fo {ru q CffT4eo^SlocDl hu-%-h* t^+- fs lcedl gr
g?cocl oC @loLzwlo, .J ue- +c, 4rypd,s 'i'\ SlreJf dgb i@
ncpd lourJ{= P
A
LOi*e fbe, 66?rcessl ftrr sWAn @fler;arq
arn\ -ty?zi o f lo *d D
ad ?ryadocn)\\ loa4 @arK d@'? ' tn_f *1 Wn b ca,"d€CI* o F *be- lo ,*\ d
ol r'csArrun-
Page 6
WII\TER - 15 EXAMII\ATIONSSubject Code: llf t1 Model Answer- Mechanics of structure PageNo-gG tgT
SOLUTION
done
zAL
tr5L (volurpe oot
Vo l vrv P; A--7 LL
Sl^rcu^ u= €ZE
Page 7
Subject Code: Ift3l I
x.!"!! +
,(
WINTER - 15 EXAMINATIONSModel Answer- Mechanics of structure Page No- sZ lg+
SOLUTIOI{
fu,,n?l elnj *klO9 e tbe fl,ut'ratr frnn,lq€ q-trr,f4 yoenrnl
rDbol us l'tr) i-l-,
*_6,_€
fn = fncw &ernd r'frq fpornern\ crl b"its e-qo9 *o noorne.pt ofv Rsie.lenpte of b
6 etboq*be . nOeOta<4 cUzq'g sl nc e, ''6,e;pta<Q otx-|€
roc!-^J's. lr.af @-l- tbe Cemfu"td of tne
t > INA =
€ = Bundtn,A =+un^s tt'-, *)*jrrc a*a dr,-sli
= ol tst. o f ttre \o-o-y err ,0"r'r t t:.A" of t?re" b cii€nrqcQj,
R = R-d ius o f co^'rl or.rrg " $ .t be Ae_ fI
Page 8
WINTER - 15 EXAMII\ATIONSSubject Code: l?3tl Model Answer- Mechanics of structure Page No-cid tZV
SOLUTION
zaooD Be/dh1.1 sta.ers dr';m"fulluc,Dfnn
cafi of RecfCIrn3olcorer 9o o:ed co5q0. sr,nool
&oha,ol Arie
6ecoa h/,€JlS. d isWrdi
o f ' T' Secl-t'oo u-r.
eoq -?eofio1 S
Page 9
WII\TER - 15 EXAMINATIONSSubject Code: [? 3l I Model Answer- Mechanics of structure Page No-o$ l3V
SOLUTION
l {. dtW Zco rqrn 1':l orY)L+ery5.v Ao+b of colofn' d QAIUT:g 66PP) r'n9L 1o
:10{
A = Loo rdf W)
L--= 3m cgcocrfirnG = Z*lof rnfcu?e s €uje.o'g crnl7Ph^m1 lo =?
'.o Eolh enjd "f. colo hin"'l er- c\cOO w)rT)
Cu\erz'9 ryut?P1fmq 1o-* = TIkz
fcn cjoocol cert c0 lvrw f[). I* f S
L: Tf(4
T.c-T[''.fzuo)6
T ? j8,53 x ,o rYrro
?e T. Tf x 2*1t' ><1_g's3xlo
,LLxlDo rV 0L rvl
Page 10
WII{TER _ 15 EXAMINATIONSSubject Code: 113 t ) Model Answer- Mechanics of structure Page No- f o lg?
SOLUTION
tk:o
f t,r>4 tbe I e-co.s+ m,L . u{ ,e ry nDrD e}^m) t *sec)Icm b antrtZ folt o q,lml .)elrt)l's'.
f lqrngel : loo rprn wer'rDovwco)l Aelt.f h1-c,\(" of t^:eb
looronD
!s lb rorol L
LgO r'1 rrl
too rnrn
/pq€ f,^q *vr-:,-ejnriCc4 @) X X a,yrt .qJXiS
O" m)"T- of I € se. c+J^ ctT) fe xT-- Axr'
Page 11
WINTER _ 15 EXAMINATIONSSubject Code: l?3 t l Model Answer- Mechanics of structure Page No- lI' lgT
SOLUTION
m,t- Ru.o =tooxr8ou = l€zffilL
?- 45 Xz+.3 = -gl- 84 xl* {Dt ol2
= 4S T:.z+p = sl. gq xtd6 ft)ffi
I-4. 1 x)c = lg 2"q3 ltt * 2y -Sl. €4* to
. T,*x = 7J ZgXlb- rorD
J - gzch'aq @) "f '-Y r f4l 5.'
.ae'>
= f-\1, + L
ro3 F \" 67xto6 **lu
avv , - dr3 - zq o }r,f ,^ot# cr)
luX lo( rnroi
It \ y = l"{'4X tb " t ?-eT rb- + l., 6!-1tl1 D
frv z 3" lo {rlnn
MARKS
Page 12
WINTER - 15 EXAMINATIOI\SSubject Code: f lf t
1Model Answer- Mechanics of structure Page l{o- lL lg?
SOLUTIOI{
rn o P\e-le 4cm.€crn o |zrtc,mgdar-'c"t1 col shoco" i- €'O ,t is. c ol
irre. tbe n4.:t o{" tbe o.efico.r':ndtr-ia-bs the hoqt'zud\E) cox{s . ?*agt-l, ,ll"raq
h ina*-
Y &
f: +'8L
s
q= 4X€ 2Zzc_
= g_ = +crD
eL
Page 13
., r$ lr.Nriit {l*tlt:: { 7 3l \
\,1i $\'$'$. It $5 $,"x"\i!{[NA'}'I{}&
1{,iriltl-.3 rl*ve r Page No: 13 I 3T
ar) .
I_ = ,,(qAr4),.,.:,*-( ?x 1,,:3 3)G2-S)
re: *lr4
-Iep,*-:-.-&xubf
n
,-, g+s ; 6+,si + 2.4 Lg, trf ; S564 c"ft
Page 14
WII{TER . 15 EXAMINATIONSSubject Code:
\? gll Model Answer- Mechanics of structure Page No- l+tT+
SOLUTION
€.e*\cy-jn k'a-?arr,dr'co\att a:*l+ theo"€_na.
f+s4 hg H "t . " f o, P l.orne Ee-C*t^crD a.bou* +b
+Wo fno\oUt\ ?<,a?.ur:d r'c.r luf cr4isl 6oeeF-e-l- t O' 'tbeno tbe- no"rnrrot of jzr*ea+rq
o-bou4 tbe *b fzd co-aqt'S ZZ lvu" fo +hlcane can>d ?u-syi-o q 4!froga h fb e intete$',
O+ )cX d'. VY ce{vJsv I'S A;vern b
tlre 4ht''rcl co,a+s zz f s ccat led cos ?olclzt,fs 4be- rrru a).,ou*f -lbg- afxJ'f
ZA- i s c dl ed ?o lco.6" rc'or'r) gn+ af jn*<ratlf{- { s dtora bv r,
l-*TtaLzz;=-L
Page 15
a4e
Subject Code: l?3 U
j.
WINTER _ 15 EXAMINATIONSModel Answer- Mechanics of structure Page No- IJ 87
ol rn
SOLUTION
$efi'.rle f"l l"cef 6)ter6rn6
utfirncqle. sto-esgv- lbea'orlr'o of the- rnt o opl +h@l tbe s flenj rnerfl i e c*f,,n4"le o f@r'tb3'ko.pd t^n1 qt"td I l' g oiqdr'4 4 c
&ra.err., fg Cated -tlre o\ttpcndg slrregSo + +1"€-
u \ ft'mol*e. g hrpxS = fDcr+i m''rn \oto
"ryiq i ll cq cftro s,S-seCfi'efl
i eld s hz,e-sg f* ie defi"nol *x" +l"r* t..qj-i.o& 4be locoal e* r {eld Polot .o.,rd th
'q jmal coo ES - Secfi'cfil e/err{-. of tb e,
t'eJ4 e@E:- Yr-€-ld 1ortqr't)
crcb-ss- gecfi
lcay'a sNace-r'n - coberr; cplfi Q)*sy'a boA) qo
into cU corrsplelf* , e[rrr-tnat|bn ]herr> il c-g{n-
.not. ee)<a)rt'e if'S @\qr'-.] eh*-Pe i'
tbe, ?laa|"', s4csq g. .chjqlc p<-qolf lnr'mq cf fr$ lcn'e. o € ib e fo.ej-errep).
( 1c!-f+1 e -g
Fcca^W " f <c,of
s4-e-ag ernd @
f*n*^ "f scBd<k\ = ol#,rne*e- gtoe-ss-
\A? c.{f.,1''r-l sW
Page 16
tY3l4
\4 $ \'$ '$,:fi{ I 5 t-]X,,{ i\,t IJ\A"tr'X {ih,
\'l orlcl A nsrt'cr
S( )l ,L;'l'lt)N
Fage t{* 'l{, 37
t* L{o'*c -, i,-: J o-olc - -t-tz- e- 7euy
trA-=--/o q Pq r __4 =_fltt'rcy?_
fwfe?lvLla -/*U -'f>otn- rp-1c fu-Leo?c
{=-4tE€ /3f /0-*6 Y (tilo :l qo) L7a-t/a s
=, *'8o*5* -N/rurn? - -&@ive*,ftyrb:P
* 8-o:.5;x +r &P:
e - €, 6p-t6o lfN -
,st?gs _{_-_ e<tE= ! 3it f 3xflSe:gcDx rya-u aF
= .t g 3_rg-pll l*n;u
P E--{rA:;-t-39-:29X *&"2J2
f-'-z T*TuaLillmr"e? *n
Page 17
g{+A
I*wb.!e*t il*qle: lTft 1
I
I
II"-t ***I
Wtr1{TH,R * tS nXAMlN.,L,f}$i{
S6*d*$ Axesrve"r-
d: Ao-rnry\
D:* 4ut 4* {L: - 1{8 }T)'rD
Es*r L'-l xlf-: z'-l xlSz'_l XIo)_ N lfnrn)-o .l{X td I--} lnn}.e
4mno -rneJoliHolrxne tr- ir ]rtte-o- r-ui,frO .cs$wchc
r,I(tr$01_ff_--s,)lrl5b-\s\_ eulb _ I0crludcrl _dur 40_ crtrI
irt[JhttrrL- 0+ *ttro KrS
-- ToKa* -&--:, "r#Xru! 4lon w+. g- Le.=o,J 1lX r il
,*
lf1
lq
tn
Page 18
;*. .'.. WINTAR * 15 EXAMINATION )
Subject Code: \ ?31 'l * Model A*nswer Page No: l8l3}-a No
*T-*-- i ---solTrroN
."- I ,vaar-:;
I
?i= 6s>csF?-gL+6cX1?\6-^03---- -1 --.1tli lr-'--t- - - j
ai Ier-=*-t\ 4e y \l2-:9t* tzF6,Q36.+ - j -l
rsr = g j tc nrd €+--* -- *l- l l'1 i
_ l rmi
1,
i
I
Page 19
$'rlbjeet il*de; l?h I
WTNTER -. 15 EXAMX1{,'{'F;{}N
; Mrode$ Arnswer
&4*
}uisffr. .\i,ri.ff$ lgf
dc-)
- I - omn+dhs-+tuo-dix(Honr--oxt 6+=5o.r'llrnn&-, ri- l- 4vleo-g1mnf-J-+-fi$d dht--chan4o* in dirnam=i
siohs- o/nd*-volum(-j F-n-- r"l:o r-Drn S:-6oorqxyy
'&:._1-!DoTnfn
*$ : 6o0 TnYYJ
L= 8-Po-no,n
6t {f 6u-, I
E
W lCIf3,?5-X t61 r trr tl-1
or, - '-GD rF 0'?t X 5U
"lrY toS
gq =- 3- 6z&x lDz{
c"r5X (.- 6t
ltrl
7e l;g,o TD6D
{Y
Page 20
WINTHR "* gS H,XAMt]\A'tr-{ftN*atr +
S*bjectCode: tlttt lri
i
I
S{odel Amswer
l- ONo T- -l*- soilJ'tloN - --.-l nt"rilxr'
it__*__l_ll,.lI lt.rr alaxnAa ^C l.llrr.^anlrcia\nt
$I'-*g* hr* r:e-rr lSt
-l- IOZ - -(Ji\rltrrrH)l - i rrr
--t- - _-I
---i+)--ehunogr---0t-u)lurrr-u-- - i
*: -qY-; €r** sLf *U- +I v -, ' - i
I r'1
1F',)
g-tn
I tt)
Page 21
S*biect C*der I73l 'f
WINTIIR * tS I{XAVItl\;\'il}{}i\'i
; ff{odeX Anstv*n
*1 +
-€
$*a$ju.. Hsp q lsl
--:_---
- S-r:nchcrl- Tr)rl ;oF- zumno drlonochd dr$ 2'Sfn,i
- to$q- -ulhqn sulrJe$td-+o o.-'tensite - Fuute- Io KNI --_)-shorDd-_onf- alonEo.ttun --L5$0nn *3, tcducrion jn
nnodutrrn of - Qlo.rti-ii*-d&+- 'finf'C( 0 ttiJt ld1--5jqld-tflF
s{}LUl'[{}r\
!
l
l
- lu: 2;S ffI: ?Q) oTt^tnD -l
Q.r{o
; LLL'B:--X l-f NlT,'0rr rn
r,l-K*g =-+l
Page 22
Suhiect ilode: l?31 )
WII{TNR. * 15 MXAMINAT-'X$I\I
k$*del Amsu*r
€--f gt;-_*:-- 3 X+ot
S()l.trTIf)f!
tr\ -
F l-\-
zlr tu_
-._*]_--
-9t A cu}'a o-L- too nnrro srdq-iioclrd-upofl hv - sf,rcstc$
---f arof,rg dhL-dffi( t diroel-ions *!ull^! dnot
tt1
tv)
| -:-s-Sl-xuF-Jr! /*6-*r tto Nlnonf e c)
]--l -Gx ^rr^--^ii-r-'. il-a=-g"il1nvrf{r)-
Page 23
$*r:hj*ef Ll*r$*: l. 3l I
WINTHR. * 15 EXAMIITA'TT$Ni
; , ft'fude$ Answcr
' YiTr)-6r, 6o* r{f-mf
I
I
l----"--"I
i_I
I
I
f*I
I
l-**-**I
I
IL.--* -
i
i
t o o rnrY)i
et 6zt ,_F!v , $ Q\_,*-v'-a{ --7_.-''if---.- -E'LE
rn
lt 1
tn
Page 24
Subjeet C*de: I fr3tl
WINTN,R *- 15 ITXAMTNA'TI{}N
I
F{odel Answsr Lurag* i\*:;l lkt
= --3 x t04
r"*$-r nrl--elooanqe in yotrrnnc oJ dnc euJr 6v
.
.
:
:ln. :
L
Page 25
Sffi hj0*s t$c*e; [ 13 tt
9 -jt-{2,=o]- -u}ruil:- utiu*l,)e-- s}rcdoolnlg
*+-
I
,
--- --"- |I
---nrurn -s:[^D +9-.atfo- of _Bearr+ o:, shoun ia i
: =-t-J lg'fff;
Page 26
i a .Fr{}
$*lt?:je*t C*de: l?31 I
WINTfiR * 15 HXAMINI\'[-f{}N:
;' M*dc[ Answens *.-#r**effi*fr(
e.s +
Prige'vr;:Zd lS>
StrP-'z-- thurn huc-colruloliory
----fP=:as+il 6o--l
oxD--sf Pe}*tr+$ -esfr'lr€rsheqki
iI --*;#^tt-r-:
; oz r')
Es ,- ?q
otn
Page 27
*de: 1rut
I
:
l
1
VffF{rNR * 15 H,XAMTI\,,\'rI*F;
ffisdpi3s*,v"p-s
s(}tr-,u']'r*N
z$rdtrfl -g
4' z,r rr)
8 5 \\^{
= - $+t r: S 7LY:L-- ?o-x ?LX ry,
i_-*-lrnx : -t;8, I ffi 2f ----
olt.1
Page 28
Subject C*de: l?31)
NR * 15 HXAMI]TATIT}]\
Model Answen *)nse tuq,o; qlg)
I
I
i
.r WII\{TI
rl
:lr+#i
I
I
i
--:,._t'*____.1.
i:Ii' SOI.UTIONi--_*--r--
-J-o l oerLlt dhg" pemL sf co
I
I
t\/\ i
l-l "rr r-r **-?sj].-r-*=-:S- LXJ:*)I
o = Vsi x-r 'F 1€-l_
I
- n*:_ , I rl -L-*r= t$Xr:
?S-*.-t'oil;I -r
-5-T f;ysm+ J-DcLl nf -n-F- iC onKd- "F LenuttrrI
II
t,
I
I
iI
II
I
I
---_**:=*--.{^"*I
I
I
I
I
I
I
I
_____t__* __l.
i:
I
1
l
l
I
i
I
I
iI
I
I
I
II
I_r-:"*l
I
L
I
Il
tI
I
l
I
lI
1'
i. **{.
II
I-t
!
-.i-I
II
tI
iI*+
i
I
--- " -+-.l!
t
I
III
_i
I
il
t
I.*" ..*f -t
I
t.' *-----+ -*--
I
I
t,i
-+I
Page 29
Ra---:- *=s" Hd
soLUrIoN .*s ntl
&.# *
Subject Code: IZ67L
d*HN
WINTER* 15 EXAMINATION:
Model Answeri Page r{o:vl lEf
6H
,L.l
tsr--Ae-$ ffi
izfr
Lg t'(d-'ravF *g Kr-t,y).
'7-l,PPozt@+ifla- 2- s:+ r-{+ Ers) = ', 5p t<nl
-
Tm
v%)
F go'-13__a IL X^l
Page 30
subject Code 17311
WINTER- 15 EXAMINATION
Slodel Answer Page I'{o:30 l3T
I t-u[qu?lihVr*."; l- '
vE Er
r -= -l-- -*--i !,$:r .l j"s+ leit af-a-:o
-
i - --lSrAaWn : BF =-t1l<,'l .-
- iS rd4fut-uqu'f c =-I!- tzrz' = 7 ut'l
| - -ls r&i,+r S#rtc-= Z:5 = 2 HN
i - -ltr"ru**i+-1-n---=J:-r8H---+K^f -- -l*af *x aWLfff-e$-O--i-Z: Lx--H--Z--=-z- t<r' -- Js ratqw- *pt-o* .D -e-2- )s-- -z-'H-rr{- - --
I "" - ^"* i,,o* u lo'lt ol- p, = -t7 * r,1xl) =
*Ig t<d
Page 31
,€** u
". j*in!q":{'t {'tlqlt: : L75IL
\&'$\'& $.,&{ I5 $,, X,,\n,lIN,,\']-!{}ru
h{ qrtle I ;\ msiwe r Page l\*: 3l 137
r._) \t)
9sbi
o
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Page 33
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Page 34
Subject Cod *, 1-75LLWINTER- 15 EXAMINATION
Model Answer
SOLUTION
Page No:34 137
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Page 35
Subject Code: 7737L
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WINTER- 15 EXAMINATION
Model Answerr
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Page 36
s** *
subject code: 773LL "
WINTER- 15 EXAMINATION
Model Answer Page F{o $€ lZ*
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Page 37
WINTER- 15 EXAMINATION
siubject code,775fL Model Answer Page f{o:, SVfZT
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