1) The question asks to design and draw various RCC structures including slabs, staircases, columns, and footings. Details of reinforcement, dimensions, and materials are provided.
2) The candidate is required to draw cross-sections, plans, reinforcement details, bending schedules, and structural drawings to scale showing reinforcement arrangements.
3) Structural elements to be designed and drawn include a two-way slab, dog-legged staircase, isolated column and footing, and an RCC raft foundation. Reinforcement quantities and locations must be clearly shown on the drawings.
Trinity Kings World Leadership: Honor History Heritage of 1st...Terrell Patillo
1 Samuel 2:30
Amplified Bible (AMP)
30 Therefore the Lord God of Israel declares, ‘I did indeed say that your house and that of [Aaron] your father would walk [in priestly service] before Me forever.’ But now the Lord declares, ‘Far be it from Me—for those who honor Me I will honor, and those who despise Me will be insignificant and contemptible.
Genesis 12:2-3
Amplified Bible (AMP)
2 And [a]I will make you a great nation,
And I will bless you [abundantly],
And make your name great (exalted, distinguished);
And you shall be a blessing [a source of great good to others];
3 And I will bless (do good for, benefit) those who bless you,
And I will curse [that is, subject to My wrath and judgment] the one who curses (despises, dishonors, has contempt for) you.
And in you all the families (nations) of the earth will be blessed.”
almost all the types of math are included here..if you learn these maths ,feel these maths i can assure you that you will find almost all the maths easy and simple.
Biological control systems - Time Response Analysis - S.Mathankumar-VMKVECMathankumar S
Biological control systems - Time Response Analysis - Step and Impulse responses of first order and second order systems, Determination of time domain specifications of first and second order systems from its output responses.
Biological control systems - System Concepts-Mathankumar.S, VMKVECMathankumar S
Biological control systems - System Concepts- Basic structure of control system - Types of systems - Open loop systems, closed loop systems, Effects of feedback, Block diagram & Signal flow graph, conversion of block diagram to signal flow graph, reduction of block diagram and signal flow graph.
Trinity Kings World Leadership: Honor History Heritage of 1st...Terrell Patillo
1 Samuel 2:30
Amplified Bible (AMP)
30 Therefore the Lord God of Israel declares, ‘I did indeed say that your house and that of [Aaron] your father would walk [in priestly service] before Me forever.’ But now the Lord declares, ‘Far be it from Me—for those who honor Me I will honor, and those who despise Me will be insignificant and contemptible.
Genesis 12:2-3
Amplified Bible (AMP)
2 And [a]I will make you a great nation,
And I will bless you [abundantly],
And make your name great (exalted, distinguished);
And you shall be a blessing [a source of great good to others];
3 And I will bless (do good for, benefit) those who bless you,
And I will curse [that is, subject to My wrath and judgment] the one who curses (despises, dishonors, has contempt for) you.
And in you all the families (nations) of the earth will be blessed.”
almost all the types of math are included here..if you learn these maths ,feel these maths i can assure you that you will find almost all the maths easy and simple.
Biological control systems - Time Response Analysis - S.Mathankumar-VMKVECMathankumar S
Biological control systems - Time Response Analysis - Step and Impulse responses of first order and second order systems, Determination of time domain specifications of first and second order systems from its output responses.
Biological control systems - System Concepts-Mathankumar.S, VMKVECMathankumar S
Biological control systems - System Concepts- Basic structure of control system - Types of systems - Open loop systems, closed loop systems, Effects of feedback, Block diagram & Signal flow graph, conversion of block diagram to signal flow graph, reduction of block diagram and signal flow graph.
Trinity Kings Family Leadership: Family Franchise Systems *Code of Conduct* f...Terrell Patillo
Titus 2:1-2,7...Amplified Bible (AMP)
Duties of the Older and Younger
2 But as for you, teach the things which are in agreement with sound doctrine [which produces men and women of good character whose lifestyle identifies them as true Christians]. 2 Older men are to be temperate, dignified, sensible, sound in faith, in love, in steadfastness [Christlike in character].
7 And show your own self in all respects to be a pattern and a model of good deeds and works, teaching what is unadulterated, showing gravity [having the strictest regard for truth and purity of motive], with dignity and seriousness.
Trinity Kings World Leadership: Honored Senatorial Recognition of 3-Generatio...Terrell Patillo
Deuteronomy 1:13-14
Easy-to-Read Version (ERV)
13 So choose some men from each tribe(family groups), and I will make them leaders over you. Choose wise men with experience who understand people.’
14 “And you said, ‘That is a good thing to do.’
1 Samuel 2:30
Easy-to-Read Version (ERV)
30 “The Lord, the God of Israel, promised that your father’s family would serve him forever. But now the Lord says, ‘That will never be! I will honor people who honor me(GOD, but bad things will happen to those who refuse to respect me(GOD).
Engineering Mathematics [Y
Q P Code: 60401
Additional Mathematics - II
Q P Code: 604A7
Analysis and Design of Algorithms
Q P Code: 60402
Microprocessor and Microcontroller
Q P Code: 60403
Object Oriented Programming with C++
Q P Code: 60404
Soft skills Development
Unix and Shell Programming,
Q P Code: 60305.
Additional Mathematics I
Q P Code: 60306
Computer Organization and Architecture
Q P Code: 62303
Data Structures Using C
Q P Code: 60303
Discrete Mathematical Structures
Q P Code: 60304
Engineering Mathematics - III
Q P Code: 60301
Soft Skill Development
Q P Code: 60307
Unix and Shell Programming,
Q P Code: 60305.
Additional Mathematics I
Q P Code: 60306
Computer Organization and Architecture
Q P Code: 62303
Data Structures Using C
Q P Code: 60303
Discrete Mathematical Structures
Q P Code: 60304
Engineering Mathematics - III
Q P Code: 60301
Soft Skill Development
Q P Code: 60307
Unix and Shell Programming,
Q P Code: 60305.
Additional Mathematics I
Q P Code: 60306
Computer Organization and Architecture
Q P Code: 62303
Data Structures Using C
Q P Code: 60303
Discrete Mathematical Structures
Q P Code: 60304
Engineering Mathematics - III
Q P Code: 60301
Soft Skill Development
Q P Code: 60307
Unix and Shell Programming,
Q P Code: 60305.
Additional Mathematics I
Q P Code: 60306
Computer Organization and Architecture
Q P Code: 62303
Data Structures Using C
Q P Code: 60303
Discrete Mathematical Structures
Q P Code: 60304
Engineering Mathematics - III
Q P Code: 60301
Soft Skill Development
Q P Code: 60307
Unix and Shell Programming,
Q P Code: 60305.
Additional Mathematics I
Q P Code: 60306
Computer Organization and Architecture
Q P Code: 62303
Data Structures Using C
Q P Code: 60303
Discrete Mathematical Structures
Q P Code: 60304
Engineering Mathematics - III
Q P Code: 60301
Soft Skill Development
Q P Code: 60307
Unix and Shell Programming,
Q P Code: 60305.
Additional Mathematics I
Q P Code: 60306
Computer Organization and Architecture
Q P Code: 62303
Data Structures Using C
Q P Code: 60303
Discrete Mathematical Structures
Q P Code: 60304
Engineering Mathematics - III
Q P Code: 60301
Soft Skill Development
Q P Code: 60307
Unix and Shell Programming,
Q P Code: 60305.
Additional Mathematics I
Q P Code: 60306
Computer Organization and Architecture
Q P Code: 62303
Data Structures Using C
Q P Code: 60303
Discrete Mathematical Structures
Q P Code: 60304
Engineering Mathematics - III
Q P Code: 60301
Soft Skill Development
Q P Code: 60307
Unix and Shell Programming,
Q P Code: 60305.
Additional Mathematics I
Q P Code: 60306
Computer Organization and Architecture
Q P Code: 62303
Data Structures Using C
Q P Code: 60303
Discrete Mathematical Structures
Q P Code: 60304
Engineering Mathematics - III
Q P Code: 60301
Soft Skill Development
Q P Code: 60307
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t*x floars as 3.6rn.'Ihe stair hall mr:**urc* 2"Sm x S"Ern *Iear, Width of the flieht is 1.25:rr. It
3x has the frll*rving partic*liirs :
:o sp Wai*t slab thi*kness * 250 rnm
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Bs 300 rnrn ; Rise ",, 150 rnn:
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r Thi,nkr:ess *f footing at *elges ." I50 rnrn
Ilepth *f fomrdaticr: b*low gr**nd le vel .* 1.2 ur
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Main reinfbfcement of footing in longer direction * l0 mm g at 120 mm clc
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0lt ,
o'
s. A retainl::g wall of h*ighr 6 m rct*irs twn layers *{ suil top ? m is c*h*sicnl*ss s$il
#q ' ;;ffiTfrry{;;;0? *a uotto* 4 rn is r;*h*sivs s*il witl: s * 0, C * ?0 kl'{1n:r? *ind
*J cri
y* 1$ klrl/rnj . ialculat* thi: total aative *i*th pr*s*r:ril *n thc r*fxining wall and its
positi*n
$
b
*boo* tlte has* of r*t*ining x'xll" t*8 Mnrkr)
Whr:n d*
f 6 a. Wh*t ar* the diffrxeni Spes *.f lailure r:f finit* sl*pes? ffxplain wiLh *sat -sketch*s.
you exp*ot ***h of thex* failur**?
(s6 Mr*rkt)
s
b, A finite sl*p* *f height l0 m is in*iinerl at 4ff with r*spect t*horis*ntal. II{lrr: Fellini*s
dire*ti*n*l *ngi*x is.gig1,',,3i" and F * 26o, cal**lut* th* fac)t{rr +f,saf*ty ag*insl t** failur*
af,
the slope given *. *" 1? kN/m:i, C ", l0 kN/nr' and tp 363o. {14 M*rks}
*=
I of2
7. 06cY64
? a. Beiine clearly r '
i) Ultirnate bearing caPacitY.
ii) Net UBC.
iii) $*fu bearing caPacitY and
ir) Allsurable b*aring pressure. iis ililark"s)
Sesign & squar* footing tCI carry a **fc l*ad oI' 1?0{) kN r:n a sandy s*il at a depth *f I "5
m
b.
bqtow diL, given y 16 kNl*3, N * 25, pcrmi*sible scttler*en{ is 40 mrn. Water table is *t
-
th* bas* of for:ting" Usc factor of" s*{bty I;: 5 ?. {12 Mnrkr)
* a. fixplain with {brmu]ag:
i) Irxtlediate I lil*stio s*ttleme*{'
iii Primary tonsolidati*n srifilemenl find
iii) $e*ondqqy u:mprexsian settlement' {*6 Mtnks}
h, A sqqqqe forring Qf sides 2 m is foun<led at a d*ptlt of m below GL carrying a l*acl of
I "5
$t)0 kN. '!lhe soil belorv the fr:undati*n upto 4 nn dcpth ir
fully $aturfrt{:d elaY with
Yo* =?0 kN/n:}, sr- *35o/o, t*u *:15%, {i ''t }'$"1-1* soil *h*ve the base uf"li**ting is
s**dy soil with Tu -l6kN/m3, S = 25o" Calcul*ts Lhrl prirnary **nsolidati*n s*filem*:nt
assurni*g l*ae1<lisperxir:n *1 2V : 1l{. {t4 kl*vku}
q^**$*
.,$
rt
8.6.
L{)l I
8. $silr{i$
U$H
,, ' Sixth $*m*ster m"H, S*gr*e Sxamiuati**, Ilet"CIglJsn'lo
trrilgx*iof! Ensimeeri**S fimd *tSrdrarxtrI* Structures
'. a
i tme: J nrs. t--* Manillarks:I00
Not*; .dffsr*.'er. *xy $f i{.fxlJ gxc'r'fi*ns, scfrcfiNg
#f J#csf 'l-W# q***sfr*r*s;trr**m *n*:trr 3'rmrJ"
f:lrt * A
What are thr types sf i'low irrigation? flxplain ary two flow
irrigation sv*lem$'
s
(J
I a^ Defins lrrigation. (*e Mark*)
'i$
tt
rt
b. What *re tj:e brnefits that *ail be ascru*d fronr trrigation
pr*jects? Bxpl*in in brie (t)6 M*rl*i f'
0"
N
;. 14,;[;;;; irr* **irro,*u af applying water l* crops? S.xplain any iwe: surface inigation me(hods'
t*
i*6 Marks)
6
.{s
't
Z {r. De{ine,* ' and ,clelta' and writ* thcir r*lationship" trVha{ ar* th* Ihctcrri on which duty
,
.duty,
106Murks)
ra$ 0epeno$ {
aJE
ct) ^.
b. .4ft*r how rnany days wiil you supply worsr I$ soil in *rder to efl$ure su{Ticielt irrigari*n of"soil
* wilting pr:int * l4Yo, dcnsity
of the
l4H
cs grye& onlp, iirfi* n*f* capaciry of rie s*it 30Yo, permnfisnl
* 0.s I25 N/co#, *m.tiye depth of r*at zofie
s ?* cm an<i d*ily con.sumptivr use of waler f*r the
-
:dr
atI *
givtn er*P . 1S,5 sm
1I1'( mnr. (06 Marks)
-E(b of irrigation firr rice in tiiis
f4
. [ *J*, *ou** **mm*nds nn lrrigati*n ;lrea ef'fi{}{} ha. The int*nsity
E$ e
e-
{}(]) srs*isSS%.Thetranspl*nrnti+nof ric*craptak*s l5d*ys**clthettt*ldep{hofw*trrr*c}rircd
t:rt tit* fieti,tlrrring{relnspli:ntatiotl ii) *uty tit iil*
Ld.}
o "..
b,v.- th* cr3;: i' S0 *m. $*t*rn:ine l) Dut,v
heacl *f distribut*ry a*surning l*sses of **ier trr tlb ?0% in ths water cour$es' iii) tJalcul*t* the
(Ll8 Marks)
65 discl:*rge r*quir*d in tho water *illlr$*.
o*
Iixplain vari*us cr:nsideruri*ns fur alignment of a canal
so
--'is itls Mtrh)
!,),?
.&.itl* n ne*t skerr:h, cxpl*in thr c.rois <tr*inage w*rks cttnsttxct*tl fbr trypassing
canal over
8S
$$
dldinqgg,, {t6}tarks)
so . s
Tle*iari-.an "irriuation ckannsl in alluvial sail ar:c*rdi*g t* [,ar;ey* *llt t]reory fnr *he
op fbi]*:wing
th Lr.
di$
sB. A-rr,-iJi:;rrpfry elisch*rg**I0 *um**, La*eys silt t*tt*t"'"S,9, $iels sl*pe r:f chilnnel*'!i{H):1iV}^
$n as
ff3 r
Xxpfain th* varir:*"q fartsrs to h* consiel*r*cJ while *el*r:ting a sit* fi:r a rr:serl'q;ir' {*s
lJ &. M*rks}
-2" a" "*.
Axnunl rurrof{ in tenns of c|:pt}'i *ver the <:alchmenl ilr*a erf'I{i?3 sq^km *t * tr:s*rv*ir
rs givt:ri
14- b"
fi {}. beli:w:
t:)$? iq$$ 999
ss '''
Year r992 iv7., I 9$4 I !)$5 1 99d
lls 131.3
I
l&!ii1.g!!:c!n l:6 ."...1.11+i":]:1..1*I'{...1lB.1 i$5.3 -.t..ila:* I..-l}x-*i-iji;".r
(J;
tss.3
"il .*i.?*i
RunofYcm $8 r43.5 152.4
qifi
$-x ",' ,.:;' .:ffi3wthefi0w:yi*i*fror:rlh*c*t*hment?Whgtshou]dbethe
{!6
live st*rag* capacity,:f ihe reg*n*ir ti: use th* s**r** {:r.*lly?
68 (l? Marks)
:ls F*rt *'S
():* sketch sf diy*rsi{}n hr:*il wo*.s and indiea{e varir:us +$mp*nent.i of the syst{tn.
>'E 54. Dr*rv * *cat
)f {t)
'*h Ilrie{Iy indicat* the functir:n *f *:nr:h c*tnponcnt. (ti) Marks)
gft b. Briefiy outline Khosl*s tl,eeir.y *n thrs dsiign of we irs ur p*rm**hl* fbun<Jati,:xs. L.n*rnurate
the
i3- {,
C}
hq) vari*n* *$fyeotions th*i are n**deti in th* appli*ati*n of this the*ry' {lS Marltr}
(}<{ Sa. Dsfin* g*rvity d*m. Iixpltin varion* fbrces th*t a*t *n a gravity elar*. {10 *lark*)
* f,..i b. SxplairfsteB ty ur*p th* an*lyti**l pro*edur* {o be aclcipted f*r analyzing the stnbility *I graviry
*u**. {lo hrarksi
&
c}
? tr" Draw a seetion of ** *arth d*rn of 2* m height indicatixg the vari*us p*rt* *f the dart*.iof s{ar!is}
c yuu pr*r:e*d to dstermiete rhe phr*atic iine thr**gh fxrrnngeneo*s +a$h*n dams
b. liow w6uld
0
& prrrvi***d *,ith horix*ntal fil*r? {t}6 stxrks}
L
c. b,xpl*in the rneth*tl $f $t$bility analysis *l upstrc*m sitp* durirrg s*dden tJrawdr:wn hy sw*dish
slip cirele meth*d, {l}s Marks}
S*, What *re spillwty*? What *r* the types of spillways? Ile*eribe ir* det*il a siphon *pi;llff
**"*;
b. Pe*r:rib* the $cxign prine iples tha( *r* i*v*lv*d in tlhis d$si6n *f *g*e spitlway' {l* Ir{*rks)
9. /
UIiN
06cv{i6r
$ixth $emest:er B.E, Degre* Hx*min*rtion, ilec.$9l.Ian. I 0
Matrix Method sf Structural Analysis
d)
Timr:: 3 hrs. Ma;x. fu{arks: 1 00
U
'ip
(] Note: I. ,4rmr*,r any FIVE .{ull qaestiaxi; srlcclirrs
(!
ot J.,a.r/ T'WO qr{c$li{rff$./r*rr *a*h p*rt.
fr 2. flue.r/ian I to {i huve fo 6e $a/r'ed rrsing
E
dt *l emt nt *stproarh on{"y.
G
"{s
{)*
.lJO rAB:I. _ A
Es
ae
g3
ce Dev*k:rp the flrxihilitl' ntntrix oI t]r* eiement shown r.r,iil: relerence tii tlre cnordlnat*s giveir
(o--
AY in fiig.Q i(a).
p'il f-
C*
F$
c-
o <r)
ec,
t :*
c*
n2
d)O
eC
:;o
L/E'L ) L
.t- ---o{
.-'&
ijs Fi*.Ql(aXii i:ig Ql{al(ii) {10 i}larks)
(){D b. Hxplain :
Bb i) Principlc uf cerntr*6,,rixlir:rtcc
ov
d)L
6O
'r1
ii) foi:c*trtilrsftrrrnalionrrtatrix. { I {} Murk"r}
b
>6
Uid
?($ Analyse the cuntinuous bernr show:: ir:: l]ig.U) h), fl*xihil:ty trtatrix meth{}d. ilraw L}MI.}
*nd S"I.D.
ii(E
(o A,of
6.9 I
co
Ql!
;*.
:<;(^r/n * l_
, /..,::*:-*:*::}(::}::.}c:-:)r,:=:::1(-*". ----*K-* ---*-r, a
'r -l .]*.?-r
ys *d[* 1-:-r *d"
r=
k-","" "".--* 8': --*.--*J- r "., *+L- 1""1 --+
qO
:}1, l;ig.Q3 (?t: Markr)
>.x
(B:
.YG Analysc the rigid pl;rnc lrarne shown in I"ig.Q3 b",* flcxibility rtratrir mcthi:d. l)rirw I:],1D. til
A0)
is c nstant.
6E /.5b ra -,t
t)< IMft
rf!
o
C
(!
()
ra
fi
Irig.Q"i (2$ lf{arti.s3
I *1"?
10. {}{r{ 'i{r{v l
IJclrnuil)'.r litr" tttr:tltbt't ii:lt:*:. in thrl llllrtlt' 1t.t:r;'; :rltt'utt it i t::.t.).t :'t ll''.,ii':l1r'. '11;rtl1r
rtit.lhod. ('ltrlitsu l]ltlllht:I .ii- li.' ictli.rlrrllrtti. i: is l'r'rtsilrt:l
Is$s: t.J
i ll) '! 11i 1in 1
j.:sxI--Ji
Atltlv:ic lit,"j L:r)rliilurLls l>cirrl slir:r.l,n iir lrig {,1i. Ntriin$. siii'llii::;: Ixirlr;x il1()1hi}iJ. l}llrrr llil}
lnrl SI:l).
i ig.Oi 1?t) h'l;tt lis)
;i|:iirr,r'l i,r 1 1pi.)ir lii :iii'iit,.:ssl trli)llir tllr:'{ltlrl.i .!}rlit li1i} lli
N- -tq
I
f.<) &*'*
5.1-: i ..,, -*-
l ,
- -;,
I
t
{
l.{:i{: d; r
liir:.(.)$ { ?{i }{trlis)
{ll. Ni*r"}is}
lltr.: gti i'tt illi{.:iiifj:'. il)N i'ilr lis)
)), riir*,":t siii"ittt::t:; ti"tt)i1l()il. l;rl<*
{?.{} il*rlis}
11. U$N 06cv666
sixth $ern*ster R.H. I)*gre* Ilxarni**ti*no $*c.$$/.I*n.I0
Rural ldtlstsr $upply and $anitatinn
'l'ime: 3 hrs.
Max. fu{*rks: Iil{)
o
l) Note: ,tln.swer an"y FIyEfull questiorrs, -sr/.ec.tirrJi
o
E $t l*$sl Tly{} qftffti{}Nrsfrilm {il<:h pdrr
-is
x
t/} I}AR'['-" A
,$
i?
ui6
o
I, a. Hxplain the ne*d lor a prntected water supply. {$6 Marl(li}
Fo b. l)ifferentiare betu,een ihollorr wells and iteep wetts. {U8 ,llarks)
[-() c. l:ixplain ille sy$(sms of suppl1,. (06 Mark.r)
r"'
Eo 2' a' $tate the ef{'ects" when *irch *lfi:e lirllorving srlhst;rnce$ exceeds rh* pr*seribcci
p? limit in a
.: co
c+ w*ter $afi:ple. $urte the limits :
F$ i) llardrre*s ii) Irluoridc
Qcn ({l'1 Mnrkr"}
D. b. Explain tlie nri:flrods of m.movai olh;irdncss. (l{} $ark-r}
CX c" I-{i:lv deres chlorine hring about disinl*c{rng tl"ie rr.uilrr,l fixtr;lain rvi th ch*rnicai
ecluatirns.
os
ilt4 {{}6 Markl}
*o
a*
t,' :: 3 a. B,:hat are the elfe uts *f impro.l:rer excrctft <Iisp*s*l? (ti1 t!{a rks)
O:a
oo b. Wiite note nn iqua Frivy, .viih o ne*t skerch. {06 Marks)
?h
C<
O1l
' c, trVith a neat sketch, exp:lain th* wr:rki:rg of, a s*rllic (ank I'l<.rra.' "shr:r:lcl thr ef'flucrrt hr:
CDE disposecl?
{E(U {t0 &l*r}rs)
uo
;r6
E.?
3(o
{ Write shr:rt nores :
$a ,1. &.ain wa(er harvesting
3e
b-E b. ilufl**ridation
3,8
qa
c" fitr:nn .y*t{:r *}1d sr:llage
!.t $ ri. Water horn* elisease"s {101}larks}
5)i
x
d.=
rt
{Dc
LC, llAlt"tr" -- Jt
;J 15
i::
c t,
$ ;r" What is nieafil L:y yect*r in *r>mrnunir;ahlc clise;r"lie termin<:lng3''i ({}5 [Iarks)
:(s
o (.)
b. Iv{*ntir:r: t}:e v*rj*us mefhods ui ciispmal of reluse Describ* in detail c*rnpn.tti.ng.
( l5 IlIa rk"s)
Eg
0>r
a. l)iscuss the disease trensmirteil tluough rnilk. Mrrks}
o< h. Mnntion thr: m*:rsures (r prcvent rnilf inibctic,n {t}8
; c.j {l ? }1*rkr}
*
{, a. Exploin the n.rcasures t* couttrl musrluitoes. {}l) h'larkl)
z,
c
b. Discuss ily cuntn:l rneasurcs. {ll}iXlarksi
fit
o
CL Write short ncrles 0n :
t a, Hiag*s plant
b,. Incineration
c. I-ifu cyr.le of a mosquiro
d. Relusc collection
{!0 *I*rkr}
12. MWffi IPSI
$ixth $erm*sf*r H.S" Xlegr** Xlxxmina*i*xrn ffiec.$9lJxn"I0
Spcratiorts $ls*msr*h
Tix** 3 hr*"
Max. Marks:100
N *t*: 1. -d xst*r*r rrny .lrY F/II/l*trf {aesfinnr'
*l
3. {.r,r* *Jsrarisr$e*sf Ca&Jrs p*rnrifferf.
t)
L]
I a. SrieiiY *.xPlain tht *rsxs fif marlaseffi)enl d*r:i*i*n inaking" where $R t**hnittru*s c*ln ?:e
^ apptied. i06 iHarkq)
![
?{t
E b. List tJre various phfl$*$ of OI{ prsbl$m$. i04 Marks)
'an emerge$cy ciinic per 24 hr day. On an
{$
c. On *n {tv$ra$s 96 p*tients reqldre seftice *f
*verage, a patient r*quircs I0 minutss *f a*tiv* af{ention" Assuming Poirs*n arrival*
:d, and
;$
s! sxp$nsntifiI s*rvi*:* time dist-rilrutir:n, fin*l
tf d,
r9A
i) Avereige numh*r r:f pntients in waiNing iin'*'
ks
fs- ii) Averag* w*iting tin:e in $ystem'
EP iir) What vaiue of servis.e time w$uld resrilt in &n ilver*Se l*ngth of waiting lir"r* eq**l tt:
Pil
-!6
FL
.* $l pi*ti*nl, *ther t}:ings rem*rining
{l sarn*? {10 }.**rhs)
): !f
I a. A flnn pinr:s ro puruluse at least 2{i0 qtrintals *l scrap **ntaining high qtrality {x} and l*'w
o cJ)
Lo
quality m*t*J (y). it rlsciel*s th*l s*ap purcl:as*rl rnust cnntain al l*a$t 100 qirintals nf
s6 *-**Uul and n*i m*r* than 35 qnintals *f y;p*1*r1. ltu* frr: r *an purchase m*tals Jirom twa
rr
v>
0? suppliers A and I3 in unlimited quantities. The pur:rhxs* sf x and y in ter:rns *l'rveight *i
og
"g "b
$6
E5
59 lry a an<i B is Rs^)*0lquintal and 1?"s.400lqxint*1. Form*laie lh*
rh i'#Ei-*rf $r*fi;r;;i*d
eo
5(t
probier* *s LF m*del-and solv* papl:ically to dctermine th* qnantiti*s pxrchas*d fr*m A
gj and B suppliers. {1{1 }tlark*)
3$
* h. Seilv* by simplex m*lhi:d: M.mi:nir.t: r. * 3K, "l Sx*
,. "8"
as
$ubj**tls xr +4x* $t; x, "i-2x, :i4; x,,x", *{} {l {} M*rks}
np
.rA
. a. *
$olvrl lhe f"all*ra'ing LfF: M*ximi7-.* z '''*3x, x,
. llfo
,.J
'64
L.* $*irjectl'* 3x, +x: *3' 4x, *3x', )6; x, +'7x' $4; x!'x' k{) {10 Marks)
h. [x;:l;rin ]r*r.r,l$ reaci r]:e sr"rh:lli*n t* *r* d*nl frtrn sircplex ta]:tr* tf primal"
;$ ittarkt}
{# {t}.{
'i" :
an
c. Writ* th* rlu-rLl *i ti:ll*wlng i,PP:
Y,5 Maximixe *x, -t-3x3
tr *i xr
P er,
$ubj*ctt* N, +x: +x1s10; 2x, *xr s2; ?x, *i2xr'v 3x, $Si x1,x3,x1 l0 {{16Msrk$}
as it?
: fr}
o: 6- Wlat is deg*n*racy in tr*n*p*rtatirn probiem'l I [*w do y*u r*s*lve (tl5 hlarkr]
$>5
tr: b. Th* fbllodng mble 6iv*x r;osl r:f k*nsporting m*t*ri;ils fi'*in sr:pply pr:intx A, S" C and 1) ir:
t){ "fh* pr*:s*nt trlloi:.;tti*n i"t : A tr: l-i. "' ?{); A t* ]i * i {}:
dernand p,:in|s }1. ]', i;, Fl and i.
fii
* f,i
toF*.t.5{J; ilt-*$ -* ilt* ti,*5S; L.toJ,* l2$; I)t*I-i'"'
Iil; ?lili
l-)tc ?fiI*
qj
I
L
*
*
(s
I'ir*$t
{}
t) thn*k if this a}lc*ation is *ptimum. if r:Qt, find *ptiriunr scheijl.tl*"
iil *n*i- * ha i* fuasibl* s*lrrti6n h;,., *ny nr*rl'r*ri i!'maxrsp*rrlali*n c*st furrn A t* fi is
rrdxc*ti tr: Iu*. {t$ &:l*t'kr}
I of l
13. {r{i:
'tr'tre alloeation thr
S a- A city carpor*ti*n has tle*id*d to carry out rrlarl r*p*irs *rn 4 rxain r*ads.
rerixds is Rs"S* lakhs" [:iivfi contractors havs submitt**l thnir tri*ls.
{.};ts contra$t&r
repxiis uf
'Ihe cost give* in nrxtrix ix in lakhs *f Rs'
*it1 ** allott*4 *nly one rol# repnir work.
l) Fintl best w*y to *ssign repair w:rk to conlra*tcrs'
ii) Is it necessftry t$ incieasc ihe uJloenti*n af fund$ by c*rpr:r*ti*n? I.i y*s. h*w n:uch? {I1} M*rks}
C,
t*ntruicf*r t:
Ur y I lo : Jt I io i
L4 l0 I t? I l8-&---i
*.&*-..-+......"...-
I 19 |
Li j0 | r5 I 21 i i6 i
h. Solv* rh* trav*ling Saleiiman fr$hleffi, giv*n the c(}st mi:trix
lllr',
.,rtj
I ^r" .1 4
City'
lliff'*rs*ti&te bstw**n Pliltl' and CPM, {$3 fr,furk*}
6a,
h. Iixplain the signifir:ance of: ii Drrmmy activit)' ii) Iotal fi*at {{i5 },Illrk*i
{:.
*-i-*r'^l-;**l-;^-i-"0*-l j r I
lr:)ldl4iulJi
L:c:- s*T? j*-l:-*l-*[ l* ito
:I1*] -$: [:!-::L-ii-. i
ifffi-;xpect*d {im* and vsrian*e 1"*r ear:h j*b'
ii) $raw fh* n*twot:k'
iiii Firrclcriticalpath,
(tr3. &{*rkr}
iv) Fin* pr*bability *f mmpleting pr*ject in "Z'5 elays'
i; -" 1 1:---*-f"'1;
A lri.(- ii).(:
: ls lil
{1CI i!{*rkti
$*tvu thr: lcil*v,'ing 5lr':n:* using iiilmi**n{t) prirtciph: {t{} 11{*rks}
$ ri.
lllavcr A
Ut
IV
b. li*lv* th* full*wing g*:xr graphi**ily. {t* k{*rl*-s.1
l,
r Ir {lf lv
^ il"rTi-fr1-rI
1..-.......1........-..r t-..---i
uIaI"ir,,Irr:
*{r**4r
L tt /-