GATE2013Solution EC Set D

-

) .

c? .

;7 .

4·

5

(, .

7.

g.

'j .

/0 .

GATE Paper: I GATE 2013 Solution

Ques. on Set: A [ ] B [ ] C[ ] D [ ] Ans: (A) D (B) D (C) D (D) D

ELf.- TEA Jv') CO -O RIJINAToR,S,

- 1XT /<1I"'PUf-.

Mo.'4'oj c."'~", d"~~('~Q"o."

JCAVl..d A\<..'" t..o.~

"\ o.v i", N.OV\AQ'"

\::. Q '(. v .till Cl'" J 1 0. 3o.c:kR.~1.,. \<'\.l""'~'

Th"'-lI1l'r1 j R eM'1 l1 ... hury R~.,{I

PI1RJlJItsAR.4TI-I/ SWI'rIN

~ "1.1) ti.e.e.f' /<.J) IY1 tA Y'

\,b.tn~hi k yiSnl')"I. f(A.IY)A.j iy-i

J ; reI') d y",--ot- W()J)j

l\It...),it-B ~it/c. · -t,C ' i?

p ... y ~e.e..@. iiI;" k. .",c. ' j y)

,;",1').:1, kr @ ;i't-I: .4, C, ; rJ

V ... m~hik.6t ~iti:. · .. ( ·,.')

otw"'1J i @ jtt-~. "It · i"J

§i1~Ye... . -

PNkV~

ALL 1 r\ L 13 E-S 1 \ ,

Website: .:;:w,-"w,-"w!.!.:.G:l!A:!..!T.£EC~o~u!!lngseillIlQJorr::..lc;Qo!Dm I E '1 . . -mal: [email protected]


Ques. on Set: A [ ] B [ ] C( ] D [ ] Ans: (A) 0 (8) 0 (C) 0 (D) 0

S·NO -.1.

J.

~.

5·

b· 7.

8,

q.

\0.

I\.

Is 'Lr

15

11,

11

Ig-

III

VZNOO 'l(vI'I\A ~ \/inoc\ ~K@ I i ~·qc· 111\

RA'JU I<.vNA~ r":J'4K @ ,'j+.k. ~l- 1'1

RfTHUL S4'JCrl-j ~i~~0iitk. . C.(( . i'1

PUL 1< rr VA!<SHNfY pcJkir @ ./iHA( .,.,

AICNAB tAL ~@ iiko-",'n..

lETA ~AM ,sE.fJ<VX .tset:'hv: @ ii+ I:..«~.L",

;5. "e .... "~.j;yO'\'Y1t ~ , tL\I (V) Ku.r.-oJ] C; \)\) R

I A 1(1 ~ ~Jo ~If A-N

~~ ~v~ A~~

fa.. Y0fl,3'V €2. l-ti;-K ''''c.. t:i')

-t(X'(i~V1~ ii ,tk,o(, iV1

4~/o-f ~ /'1 ffoOfc,,'n

jct~a. Gl /I

o+.tX{r1; @ ;;i-k,~(.{'V\

~U\s~Q.n.. Q \;+-k.·~C '{~

l(o.npWL S IC7,N"'Tt.JR.£ -~ .

~~,

9f~""" ~

fJ~ -----..,A@-~

;

~~

)!-hrtl- >

s..v.~

. POJ(/kY1'----

~ .a---v¥? -

:9#~ ~

Website: www.GATECounsellor.com I E-mail: gueries@gatecounsell0r-com


Ques. on Set: A [25] B [.1.2..] C li4] D [ .1. ] Ans: (A) D (B) D (C) D (D) EY Gu'vem..°. fr1t-) ~ e.-trt- ~ ~J h (t) IS Cl Jib.. 1nQfc.i.t.d -6 ~(l::)' .- (tCt) 15:

Off' \ l'ed OJ:> fOF- -I:u h.l~).

To ±nd : F<TUJUlfi ~ oj-- ~ ~:

~olu.R-1an (Nenv,eH : Fap 0... ma..-k~d j;lkl/ iJ-i'npt&- IS ~(t-J -ihvn .., fu

'Tn"'-tkd ~,l-krL ~ ~ch' '''' I-t~d b~ ..,

h(t-j= a*"(-t-) .

~,

NOI-I)-Jzm Q ,SJ.s-bn, ij-inrv..Q-,s X(:J-) /~ oulpuJ-rs,

So\u.hon '.

~(;f-J % X (:f-) H-(f)

- rrt~ ~(t) ~ e.

-nJ~ <J;(fj ~ e

I-Ilf) ~ e. -fT;f<

"w-)." ~(:I-) I+(f) D+~.., u, (-fJ IS 1hL i"'r<.J:]

"'- i' nJ'" X e. -Tr P

- 2rrF = e..

11 _ o"'-+'-on 1 D' I1VT\ co. -' r "

Website : www.GATECounsellor.com E-mail: [email protected]


Ques. on Set: A [2.4 ] B [11. ] C [.15] D [ 2.] Ans: (A) WiB) 0 (C) 0 (D) 0

(~10 (M YUt..- '-

R e t-l..tKvL. lo.s So 0 b- 0- clvvl l -e... = 2- 0 dB

10 §nct:- VOl+-et~e '71----c:l h cJjna Wo,~/loJ-;o

C V f, W p-..) a n J tY\ fA j n ,tv c1 ~ /1 e ~-e J; 0 Y\..--

Co e...#t.uexut- cr) .

Gou.d-ion.. ~i~ : -

R~ La ~ ~ 'J l""\ c.le, - :L 0 M J [r I IN h.v-l e, \ I I I ~ 'hv- mCA if h '> tv c.U. ~ 0 n

CO .Q, D1r e.... vi U"l.k

v ~ w R

£ 0 VvJ-; 0 n... :-

t-t- 11\ , - \ r I

F--~ L,ss /\'\ ~3 = 20 - - :Lo~o 1 II

- I ZoJ 1 r I

1 r I () . I

Website: www,GATECounsellor,com E-mail: gueries@gatecounsell0r-com


Ques. on Set: A [2..4] B [.11 ] c [is] D [2.. ] Ans: (A)J2((B) 0 (C) 0 (D) 0

([811) Coh-hhveJ

VSW R 1--+-0 ' 1 I - o· \

Loh.~ i 0 rv: -o r 1:;-; 0 I'l l ft)

Website: www.GATECounsellor.com E-mail: [email protected]


Ques. on Set: A [2.3 ] B [10] C [ Hi] D [3 ] Ans: (A) D (B) D (C) s'(D) D

~ivf/TI·. 5C1WtaL,.. \fs tto) = V cos loorrt- h(V:> a.m. i,.,-bvno1 ' mr-cJs"..,.,CJ1.. of C1fj3)JL.

Ruu-lJ 1'>l'r.>,I>-h'v~ /0<><:1 t5 OmT"-ckd -/-0 -this SOWTCD.. .

1o 1;f\d: 9h.L v~ ~ run.aJJ T>0,'n-hVI!. loa.d. -m ex~od-~ 'rnQXi'mtU)'fL

~WeJ1 ot&-- 0- iN. Sbu.nCQ..

So\~'on LNeJ\V'e.w: h:rr> co. fUJUI,J "Per.> ,J:,h'V( loo.,! -+0 extr>o.d- T'nOXimw.,.,

rowenJ

SQ.J,.. .::<"'L ~ 'oo..d

7;j ~ \~~ imf<.damClL ~ X +:1 i .

'. ~ c... fu..M r:>er.>i~'\'·Y~ I()o.<:t. ZL ~ -.jx'l..+,(z

5o\J;<m: 'Z( = 8-t~3)JL .

ZL 'Z' -,J 4~ +3'- JL

:: SJ1... .

Website: www.GATECounsellor.com E-mail : [email protected]


Ques. on Set: A [:2.2] B [~ ] C [1"f] D [" ] Ans: (A) D (B) D (C) D (D) B""

61.iv~ ·. -

'" JnJ ~

IOOJ..l F

o--\€:

f~ V , T iauJ<F

0

Tr>~ jwnM,'ur! / v,,-C, ) V,(S)

0

v2-

~

uj-~ £1s+em.. /

\DXlb3 +

v,,-Cs). 'Z 1+ ~ \(1(5) 14- 2

5

,. Sti

S+,z,

10"\ S

10'1 S

-/lrr.. '



Ques. on Set: A [2-D] B [ f-] C [ 1.3] 0 [6 ] Ans: (A) D (8) D (C) D (D) 0'

APi toelfldeflf"fi {Jjfe fo~r'HVe .

To h'rd: No fWte Of Root~ . frt>ove bi Cofl~cI/ct>·o". At'\cJ.lj si,h :

soa ufJ·O(].' -P (1).:. <1q..t- 4- -t 0,3":; + Q ~xt.. -t-Q,:t -C{o

II +"IE' above eJ..;u..9.l1'on haVe C<:Jmf/~ rcon, 'fhan

,:Mey m~t ~ .in wmfb (.0(1/'0& fa.», I 6~

Jrh at'ven CJ}J ccef/t'o'eJJ!. aAJ 10,s,r'f1l1e C:!) ~ Me 9r~).

80 (/ &>mph 9tcxJft. Q}/e. .in Q..veh f)um~ Un f~) -rJ,q!) {reg} 9WJh w,'.RJ Mo be. ellen ·

=t Oph"on (C) A f,J >10'0' from th.e ~wJr'on,

produ.ctr 1- IJI 00 ff 'Z.

A,. numWl t9f 9tooi?> ::: 4-

. Prodcdf 1 4- nUffibY1 < 0

::) e.tfheh i oCJ1 3 nu..ml:t2JtJ, <'0

-=> .'. 0 poon lf3 ) ~ ftJt0'8'

N~ to k e. cpn 'on (t. ) r Qer u ~ fal< e. M (llrrtd: .

Rootf, Un Confle'f- CoriUJo.Te Pa..ill-) ~ l, 1 Z; I Z 2. , z; CoM·in fA. ~ • - -

Website: www.GATECounsellor.com E-mail : gueries@gatecounsello[.com


Ques. on Set: A [2.0 ] B [ ':{. ] C [ 1.9] D [ {; ] Ans: (A) 0 (8) 0 (C) 0 (D) 0

Product of RoofJ.. + I.

2, Z, 2'1.. z.;: <:"0

('2,12.. I Z2.1 'L <.. 0

t.<.lhi'ch 'If, not fby,?:I'bI~ CA'f (z,rt/u Jt~/1-)o)

:;) - oph'on (}. ) ..a

/ . • ophon

Website: www.GATECounsellor.com E-mail: gueries@gatecounsell0r-com


Ques. on Set: A [2..1] B ['6 ] C [is] D [ ~ ] Ans: (A) 0 (8) me) 0 (D) 0

/- ' , uu.vem . u (s)

"1 lis

'I) 'ZEIl 0 i n i +t a.I1.. ~d:. 4,' on

~t~') ~ I+(~) Xl!.)

Hlvu-I I< (5) IS --tIu. in rJ.--Io -tht.. ~ 56 .

l-tCs) -fn~ jwnc-\'·<m .

So,t&·<1Y) : WUtR / ft{s) ~ -}

X (t-) ~ u. l~) / )( (5'> = -} .

~ -' S~ .

:. . .:itt) = W(t) .

Website : www.GATECounsellor.com E-mail: gueries@gatecounsellor·com


Ques, on Set: A [1,9 ] B [6 ] C [2.0] D [ 7- ] Ans: (A) rnB) 0 (C) 0 (D) 0

S 5

A - 5 1-< T

:<. T 5

10 :find ', }-I;n imwm. E,tpn~ ,

501~'cm OveJ\v;ew ~k m,JJ;"/icoJ,'''Yl 0 ~ e'eJ='v~ ~'lw:&. -fo ~

de.~ (JU)'Y\ i (\ cv.J- 0-- -hv. Tn a+" , :x A

z

/A \ :% ,;.., X /I::>. x /\3 = 0

HI-v:ch. irnr1 icV:>/ ~1,-thM ~ ihD.. Q~Olll'- e....r V'~ ~co.a.1. -to ~U\o· .::r4--'rn~ 'b~

Crne qr.. -1><0 'l'le.na.llYe. e ~ ~.

Gm.c.lUPIOf1 : As ~ ihL C!lFhO'11S b<Ct1fr- A ~ ~ f'~o..bt ~ zeno-, ~ .

'Z; en () \ s --th4.. yY\ infrYl t..uYY\ e r v~ .



Ques. on Set: A [1B] B [ ~ ] C [ 2..1] D [ 8 ] Ans: (A) 0 (8) 0 (C) B (D) 0

Solu!J·O"fl.- Ovenv,eH: F(JJ? 0-~ OJnd sta.ble. L"TL ~s6, po)er.>

1'Y1 w:> I-- ) i e. em ~ ) e-ft- !-to.V- oj- 5 - r'vn e.. .

-Coroi.ltn or-Hem (AI : in HJu'ch... aM.. -fhJ... ro)er.> lie on ~ )~ ~ Vw o.?I";. \.-I h...:c"'- $C.+"s)y ce..v>oQ. / s+o..hh L ,~ spbn

9phrm 8 : For.> 0- s!o..h)e" c=o1 :;.slenn) ~ 0JTtJ... 110 7'>f!r.>f-r,,'d,q,., -jar.,

fh.o.. {'O,I-h'Ofl ~ ';Z;€IlO.5 on s- r'~e .

Dph'em 0'-:

QJr\ J 1h~ aM. I; e.. <I'rL

c'T'-o..-h On QJ1:g. ail. cJ u S' c d - i tnj r fO i ~ . I eJt-$\ <k.. ':f.fN. :.3 w - L\.)( \' s .

opTI(7f1 C: )5\-.1 15 CL cinde an s- piame

- I-o,+h.- cern-\-r>e 0 amJ po-dil<r.) .1 ./ twnCll.. -'CJrnIL rie;:.

"mo.:) I'e. -\-0 --tM. "";(fJ J :JW CO<l5· ilemCl../

r-I- fs .NOT TRUE F 0.. ~tob\e) ca..w:>c:&.

L 1.1- 5],S-knn. .

/" OfL'on (pl. ,-em cJ un, '0'('1 : 71

-I +1

Website : www.GATECounsel lo r.com E-mail : [email protected]


Ques. on Set: A [J:t-] B [4- ] C [2..2.] 0 [.9 ] Ans: (A) 0 (8) 0 (C) 0 (D) ~

G1'v~n - Mo~ FET Opoa~,~ Itl $alvro~o,.., re(}'on

10 Find - Ca()~e!: C)[ Chonnel let1(Jfh modu/olion

SoluHon -

chonne) MD<;:,rn ()pe roHJ (() t:Qlvro~on r-1j'or) under 11>~ lenJlh ejfaJ f},en OrOln CUvrenf I'D " (j'ven by f?1IJ

arp =) K~ cr (VCT1S - Vt / -(2) ~~s , -0)

~ =:O.l Kh t.:' C V (yt ~_ v ... ) l-10 - - -ro!dvr>s r' ~

for ,deal (!o~e (wlfJ,ool chonneJ 1e?Jlh ty)(!>cWl~kor.)

"Ip=- )<"~ (~)(VCnJ_Vf)1

tJrD o

- (4-)

II E-mail: [email protected] Website: www.GATECounseof.com


Ques. on Set: A [1'1-] B [4- ] C [22-] D [ ..5 ] Ans: (A) D (B) D (C) D (D) 0

So MoSF!::-T operoHrt) kl\()~h rtlodu/akon elfec} I d~d) rvlorrE"1' whlc)-,

prevlO"tf'l,

If) ))QfuraHon v-v,on ()naJ~" Ch()nnd

ho~ I~ $'s re;;-l,.< !-one .. 0..\ (OrfJpore 10

h 0.)'\ 0 t) f" u f Y~ II /-on (<!" 1 n[, n, kt q f: ~how"



Ques. on Set: A [1.,,] B [.3 ] C [A3] D [iO] Ans: (A) 0 (8) 0 (C) 0 (D) 0

G-u~: bamJ \ilTlikd Sl~c& rr'ith- 1'f\~r/11l.(JTr\ .:lne.-Cf,WAl9 5 KH-z .

~Jlnd: 5curnpr;n(t ::fr,eqr..Q/n5 11h£,,-"'- " r>of- v~J. .

50 lJ.; l71'I Cl V€Jwie H .' r 0 ""--f"'=

h>(J'(n .N:fl\.J..V:,~ scvrnflih~ -Ih€.Of>EYn\,/ ~,.... bcvnd - Itml kd 9f(rai,

\-I t1h "'- Tf\."'-'X i I'f'W'IT' r"-,,\UM\ 'J :1m./ SCUm f ' I" (j y,e<=j t<4-n 9' fs N niL. e ..

:15 ~ 2}m

10 K.H.: .

Website: www.GATECounsellor.com E-mail: gueries@gatecounsellor·com


Ques. on Set: A [is] B [2. ] C [:l-4] D [1.i.] Ans: (A) 0 (8) 0 (C) 0 (D) 0

GvIlUn.:. ? A vo~_~ vollr- .fe-e.dbctt.... ci'ncu.< t-I V G1o..,: (L k. IS \r.cr> ~0J:>e.. d.

To j,'",f. Tnc,,~Uf\""" ClY> ck:~C<r><!..nvn '0- inrui: Imre.d.a.mcQ.. CVrtd ~ ; rnre-dQ.Jy)CQ.. .

SoIt&'<T/L OVVlYiEH: F~ -fM. (tent.. ,J~., we.. Sa --I'ru:&.., ~ inreJ:

rAA~ '!1-- ye...Jba.c~ ci"c.c..u.'.!- ,s CQY\'Yl<!.c.-kd. If)... SeJt.<..~ evnd ou1r* F-l-oj- ja_JbQ.C \<... elf> eu..:!- is 0one.ckd In.. rOOloJk I.

Tn.r&- IY"f'..re..cb-C!L oj- Q.... voH~- vol+or- ~e..dbo.n< __ cincw.l· :>. Zj l1+AoI<)

Hhu-u/ Z;? Inih'a..Q... inft..&- ImredOlTtCR.. (lfi-lhtnJ.!

:fe.e..~j

C)u!r&- :Irnpe-dQJ'l\dl...<d- a.. VOl*(]- VO~ J:f.d.bC1..CK d rxL...;1-- ~ 2..0/ (JA-Aol<)

HNru./ Zo oz: in'h'a9. a¥ rmfcdamc...

(j4'"fh~Jtedbo..oy

S,IJJ'~·. lkmca.., D.fj v.. is fnoN.ar->e.d" ~ InrJ-- ImrectcunC!!... 1-.(',\\

()In J otAr J-. i rn re.cbm co. WI I \ cL, C'l'oe.=e. .



Ques. on Set: A [14 ] B [i ] C [2$] D [i2.] Ans: (A) rnB) 0 (C) 0 (D) 0

~ Fe.rtiod.-" Si<rc&/

\J(t}.= 3cS;(l.loOb- -1--10(05 300b.j- (,.5',./1.... (S(){)I:-+"7"'lJ

r,.", '"- I ()O ~o.d Is~ c

Iri 1.. ? '3cro p",-d /s",<".

2rr ~ec" 100

..51k overraH -time. fm..Od of ~ ruu'ocJic S{toQ ~ rl~ /6 e... L· L - J'1 '!f- Ii J T.<...

(lJnJ 13 .

L- C· K o} h cum (Jl o:J.",

!<rr 100

-'-' fet1..t '0 J a .Q.rr Sc c " ."" ov~oll9-. -nrnc.- /00

:. ~0f'1 i c. jr>e ~l.<R/n r:J = 10>0 po...d I ~e c .


GATE Paper: I GATE 2 013 Solution

Ques. on Set: A [.1-2] B [~.s-] C [ 2. ] D [13 ] Ans: (A) [3'(8) D (C) D (D) D

~o 13>- )u.Jl m (((W frro ~ froJrtI""" f'» l.A/YI ~

A ~ (5.

w ~ ~ to ~ CD-1'l~ 4 A C-UA h1.-J..~ A ~ \-I-A. €ft,.4

"+ P"" j rD. w).

A'rJ ""3..1 I'~ "1 Yl;1 }.'r"t. J.,' O""J 6 l,(j~

, a... 1'1 pr."J r-q '" .

A 00 R~ 9 "I+- t...c:>ilf ~ ~o! \+-I U9"'.j..eII') ~ 1 R<!-J~Krr R..'j . ....; 1-+\ c...c., ~( N- et q <:.,~,..., uJ o.h-r A

b .\-ol't... ~ 'Y~6U.\tr' \'n Ac..VJ,.....,w~

Oc. R. R,~ D- u,o',1 I o! U-n( "" v-t- ~

~j bj \

L~i - ( ~1 -\

~'o \ • f •

::z)

.n. c, ., k " ~ ...j 'I u-ur"., ~...Jet"'

Ci\ J -:: l "5 -t D~

u"fe.nJ- if


q..,,~

1\

Rt2-Ju.fcJr


Ques. on Set: A [1.:2..] B [~>1 C [ 2.. ] D [:1..3] Ans: (A) [3'(8) 0 (C) 0 (D) 0 o..,o\iY)o(~

rTf<.

/--ILl ""') Sf<> P

PT fZ. ~ I1<N MV"l- R.9 ' DoH. ::;)

S o I v...h. rH) :

Mv"l-A , (:).r/-1 ~

fillY 1-- ~ I 0> 11

AOO 6

.(Iv pwjr<lYrlm .

f~ 1:0 Q'1 "'clJ .... • ~ j..,. uJ7 . .,., .

Mo'" ~ cJ.p..jo. {b ~/J~rlS" !<s

~y\~ 'N.J j ... k1' B eM- -eAoJ, Ar-tp ,

J...,~ ....... Gl J .}-\ ~< 0 eb> Of 10 ex.~.

CI4J =- oS- 11

[(3,J:; OJ 11

tAj :: U'I3 -\" \.BJ

LB» ~ or 11

f) ~ur<"M~ J-N Ul1re'+ ·f!3. b:J 1

lB) - tB]-1 ~ C)--I:::: olf 11

LA J ~ oA >1

Website: www.GATECounsellor.com E-mail: gueries@gatecounsellof·com


Ques. on Set: A [12-] B [~r-] C [2. ] D [1.3] Ans: (A) 8'"(B) D (C) D (D) D

fTR. '. 40 P B

P'T R '.

LA1 ::.. oA Vl

l51 ::: 0'1 H

l.ft 1 ::: l~1 -t l~J - bt\ +0'1 . - DE H

L€>J ::: 0 Lf h

lBl '=- LB.) -\ -;:.. 04 -I - t:>'3 ~

[ftJ::: O~11

tAJ ::: t>~ \1

L f?,J =- 01 11

[A.1 ~ LN -I-tl1J

U~:r = o~ \1

tJSJ =. L B) -I :::

LI\~ =- "tJ

lM - 11 H

t..l3 J::; 0 ).. 11

- oS -I" 03 ~ J) 11

=?> UIJ;:;. (111 t ~Q,) - "-tol-::: l~,>\

[51 - 0). H



Ques. on Set: A [1-'-] B [2S] C [ ;2 ] D [l3] Ans: (A) ffiB) 0 (C) 0 (D) 0

oc.~ 6 [&1 ~ t1l..'l -t ~ 02. -I ::: 0' H -

( AJ =- 1'3. H

JNZ. f>1f< -~ AI) LBJ t 0 :J ~ I'Y1 t' to P'UZ,

[llJ ~ 13 11

L B'J - () I 11 -

[Ilj ::: LA? 1" L 13] z )'2, of 01 - '4 n -P-f(Z : f.\- D D f!::,

L1'3') ~ 01 ., -

t €>] ~ U3J-\ - 0(-1 - 00 H (%.('Y<) ,'I> J-V-) -t A 1 ~ ,~ H -

~ ().b L BJ -;:.. 0 ~o j}-- LPIII .,,0+- j 4""\1>

~ loj\, ~'r.> U WI !VI q",01 Q~ (/1iZ. 0. ... ".\

}t? Y\ L~~ .Q)~

UU ~ 14 h

t (;.1 = 00 H

A () ~ 03 =;> eM - t!\j t o~ = 1'-\ ot 03 - 1':1- h

11 L'i

tr31 ~ 00 11

J> !-or »v ~J ..-e M..., rA.! ";: I'} t1

lB) ::: 00 ~

Website: www.GATECounsellor.com I E-mail: gueries@gatecounsello •. com

Irv

~


Ques. on Set: A [.12] B [ ~ r] C [l:2.] D [.L3] Ans: (A) [3'(8) 0 (C) D (D) D

A- ,'c>

(;, 0 I-h -ytJ 'tJ 'h

V"I+'<Y\.!- oj e'l'ch ~i.soH,(, .

~Uh- l.,°f ~ ('.A"N: ~~ ~ fwb~f'() ltf'PP,'O

4 h'W\(6 --t ~

'J M2.. c,...w\~"1 '

~o_H.lHuJ

";J H 2.. c.r.-. J) n' ""7

No+- P CA}f'o tit.! g ~ /<" 'f' ~ .



Ques. on Set: A [ \3 ] 8 [2~ ] C [ i ] D [1-'1] Ans: (A) 0 (8) ifcC) 0 (D) 0

- g;h-.-iC2 / / 'Y\O ~ L,.)-" t'" s'lmb~

:- Rj s- ttps ( ~Io S1""!.~!fA ~)



Ques, on Set: A [iL) B [:2. ~) C [ .3 ) D [1S') Ans: (A) 0 (8) [3"(C) 0 (D) 0

fi, h'nel' - -'

IP i /I

__ L-~_.J--os

, • 1-.Y "'''' u....&.. "0 .0 e.A ,.." .f-v ~ -<' CfJn v-vtrJ/fT'{1 '/ ~

0" '-'<'.IV1 ~

Website: www.GATECounselior.com E-mail: gueries@gatecounsellOf·com

1


Ques. on Set: A [.Ll] B [~3] C [ 3 ] D [1$'] Ans: (A) 0 (8) me) 0 (D) 0

- ~b f<..c. -~-tRb-t\<c

Ro.· (4,

f?..H ~ +- f<.c.

(J>tch RD., ~ )!.

N~ -me d"i .ft.{ cJ f<.A

~' -

U<.. Rb) (J<~c) _

1< ~ -\' )C. Rt, -I- 'K ~

f<. RQ • )<. R<!.

I< ~ 1" /<Qb t k R"

Rp,' -.:: )< (4.

~8' - \<.~

\<c':: \< ~

Rg, f4.. t<c: --f(.,tlZt,-r~

~ , II:; --&coJlt0/ Pa:J

~ tftr f<...

K'IL P-.b ~c.... -:z K Ri\ or"'"

)( f!..a.,. R~ + Rc

~c)1 ')" ( /:>-\,0 \-C'f' ,,1 ~ f<!I r

CoY)Y\v-\1' "'" \,0 ~o

5Lotk-o( kt ~l" K

Website: www.GATECounsellor.com E .. mail: [email protected]

GATE Paper: f-C- I GATE 2013 Solution

Ques. on Set: A [10] B [2.-2..l C [it ] D [16] Ans: (A) 0 (8) mC) 0 (D) 0

r-----,.-r---, Vc..

(t

'A'.

= -IN

. \

l.) r':>tr'\~ -tF; e.. COl"'u.pt llti v ~..,. I-iiaJ '1

o"foonJ t" 0-'1") Or~-YQttdn:tJ

) 'i. ";)\l\ A....,., 0

t,.J e. \{ '("\ 0 w -tho. t \roy 0.. b; \.: c- or, '" - p - 'I') -h-~ \ (':, til y -'

So

'\II!, Eo -::= '\J f:, - Y E :=.. o. ') '\I

v - '" e:,-LJ

Website: www.GATECounselior.com E-mail: [email protected]

GATE Paper: E-C I GATE 2013 Solution

Ques. on Set: A [ .9 ] B [11] C [ S;-] D LL:H Ans: (A) 0 (8) me] 0 (D) 0

1 'to G..o;" .

31--UIS) ...

" 10 100

at , co:. I, C. -=. 3 ,-01.. f!,

W:::'IO) c,= -%,01&

, -15 ---- -~

~ -10 flOC- ,'_ l30de plot - ConhoL In

m l /) p,obl<!T"") Ca..n k ~o Nul.. 01:>',,,,3 me ' fb....clL

tSu..b/>-tilv-ti On "YY1 e-+F1oJ. "i:; LVe CO"n'>' 0{ ~

G.(0)==' .3 0· g <sL

-thU"l o...T ~ =- I yC«:l{ I £~ c..

llALJ.)\= '3'H~ Ci)'l.-

-~ ~o lo,;J \ Ct[jU))[ = ~ ot~ \ t~~ \ = b )''1, ~ 6l-d (s .

S; .....,·,lCl-Y ~ al;) W = \0 Y'Otoi J bLC

b ~.8' l Ot t,jt.O ') \ -== - ;::: D· ~ q% 102.-

-OJ G",',n,:::- (J..o 1021~[jUl)1 ~ ~oto2 lo.3~~ ~-8olfS.

tn e +r~m 1-eA- t-u.ncV o-fl Ci £:.5'):::: ~ 'l.g 6~t .. t;, /rit0 tl\e. c:lw"1j 0 ' s'V 'Z); yen "f'~~ -re. "rYlerl tlJ .

C ') (A -the- -yisrht' Gho-LC>2- . ke.nlL- 1 opf-ion r., ' J ()'



Ques. on Set: A [ 8 ] B [20 ] C [ G ] D [1$] Ans: (A) 0 (B) 0 (C) g (D) 0

Gll\Je.n - A s~ s+e.rn <.>:>ho~c.. I rnpul,6~ QesFon~e hU)::-):. (1U)

Snpu+ +c> sYSfe.m :CO-) == 00- 1 )

To find - OUf pUt of the /)YI>krn Y L+ )

DevISIJ Plan - ~c.cordln(J 10 CoYlVolu-HOfl theorem I If Inpo+ xCt)

1,t. oppll~d ~ Llneor- l1Yn~ Tnvononf

whOM "" 1'01« Res po n" < :;( W > I h (l J \0 h 0) th~ n p 'I '(kfYl win produc( ,

D ut pv+' Y C+) ~ lven at, '

re+).:: JoOh (c)::c(:*.-c)d-c -""

:I.

~ (0.') (1)



Ques. on Set: A [ g] B [20 ] C [b ] D [1.8] Ans: (A) 0 (B) 0 (C) t;Lj (D) 0 Co()f1(lV~d i!

-.1 Co --"l"

~ ":" I I

\.J lJ \ '-'

-+< '-'

.., ~

;t-.i. ~r i

(cl) (e.)

htc)=:: -CUCY)

:::c tr) == (J C-C-1)

-.~

Q,-t eM) b~ ;S'e~n from (Jroph (el) for j;L;i OVerlo.pfl(J area

bdwe~rJ h (r;) {0 roph (0) ~ ond U (:1:- r - \) {jro,ph &1.)} I~ 1((0

hfJ !> 0 {or- . 1 L;1. · . 11.+) == 0 {:I::<;i:::;;> -C L f)} \ ..., , ... '-' :>

:1:-1



6 Ques. on Set: A [ g ) B [20) C [_ ) D [18: ) Ans: (A) 0 (8) 0 (C) [il (D) 0

Conl In ()c d - 2

jei;'::; jOOhCr) :eel-c) d-c ()

Of, y([.) == 0 for IJ- 0 or -* <. )

'j(C)== jru(L) (J(-:l:-t:-l) elL: o

yt) \,f non z.ifobd-we.~ Y7 -c- 0 ~ '[,~;t-- I o~ 0 'IIe.y- tQ pp 1'('1 J

ar~o !n o+~er InJ.enlClI I~ tefO

j:-I

1ft) ~ ! r (J co (Y (-:l-t-')dc o

y~) = j-I f r cI C

for :t >1

i>

ytl == i [1 Ll:X- '

';1ft) =: (J -If I

2.. {or } '71

for .t LI

~ 'I(t)::;o (t-1? () C ± -/ ) fLo

('O~~ __ -=~~~~~~T~~7.7.==~~~~~-Website: www.GATECounselior.com E-mail: [email protected]


Ques. on Set: A [g 1 B [to 1 C [6 1 D [.Lg 1 Ans: (A) D (8) D (C) g (D) D

CC>(1} r (ll)cd -3

Alkrna~'ve Approach.' !hIS' probkrn Con olto be. ~olved by

/OOI<"V /> 'j(l a) $ f;y~tc.rf) II') Fe?vef1:J dort7olf)

jf ;S'f~fon frCJ(1~fe.f frchof) ~ HCS) the.() InpUT xeS) pn.:dV(L

6lJ~ put . yeS) o.(Y ,

yes) ~ H(S) X (s) tim ~OC[X(S) n HCS)}

L(U(H))

{R~$?O}

~'Y)C~ LCUU));- g un! t ck IOj In U (t) Cav,l1 e by roclor cf e-~

HOofl~) "" -c .}Ol(1('\J \oplou' rro(),t;-.f6rrn ~ htt):: fUc/) L(U(H))==- ~-~

5 ~(S')~ L(hO))::: L (:!-U(+)) lRt-s >oJ

~o 1 (s) - H(S) l-CS)

e-s {Of {Re. s > C> 7 - -~.3 - e-sxC ts) for ~ r~ s ,>oy -



Ques. on Set: A [ g 1 B [2.0 1 C [ 6 1 D LH 1 Ans: (A) 0 (8) 0 (C) 0 (D) 0

Cc> ntlnU( d -4-

Y(t;;) (pnfiISf- of two +e(r1lS- e-S' J is we. Ore (J0lfl) /0 fe,/ce.

Invc(fi~ Loplo.c( of -}3 (')n!J $ whol-olu r~f'()'r uX will be 8dJ,()j) we W,,' c:f foctor c: _~*o

JIm e dorY'o I ()

cle!'1 bJ tJn,~ IrH-ey-vol ~tn(C muUlpll c-oHon

! n re?U(f/ 0/ GomOln Co.v,.,f ~I .fo delay If)

lI1V(r~e c>rLap'oc~ of yes)

L-l [1Cr)] =: L-I [c-S ?<-:b J

;:: CJ (1/1 ck h1 0/ [t:' ( ~) J ::: (J/'lll de~ of [4:'L "'- utt)]

;;; 0:lu (+-1) ::: Rn~

Conclv,&,on ~ j+ ,,,. Ir() po rt-o n +- to ~u P In mind thor &nVO/Uffof'

~\-'(orem hU)~ x(t'~,/C+) ~ H(S')::. ,/es) xeS) i); volrd0n!J In Ca;\~ of I,neor "me InvoriorH ;''1,,+-~rfI.' Li:r: ,IJ'-IMem '''' ve-? u/>efol />'1f.t-~m be COU,M' b'j 1<:('\OWlflJ OlJ~ put 0/ 1tv) A'ylkm (oY'~~?Olld) to S(;l:) , w~ col'1 de~errrllne er0~pU+ of J{Y/lrern fo' ony If)pVl tflothe.rfI(jHcolly CA),~"ooJ CJh~~,vIV ~~ptJ+·



Ques. on Set: A [":f- ] B [19] C [+] D [19 ] Ans: (A) D (B) D (C) D (D) 12l

GIIVe.r) : Vecfof fie.ld

10 Find:

De.V1S"ij Plan: lop'C- Vect-of ColcvlC3s

Dwe.r(Jc()(c 0(' a vec*or fIeld rs: t~ CJlven 0vS

dlV R' -

d,v R :=

'" -"

drv A -::-

d'\le.Yu<:"nc~ of VE'c:-+or fidd Fl

( ~~ Q~ -t ~'1 ay ~ ~t 0z- ) ex ax + ycfy -t Z at) orthoJonol

Ve.cio( h rocl.u c.+ ef unll lIec.lo, olav 3 dirfaUl+"dlredrof) I~ r !I "

C;z.. cty :: 0 " OJ(' aX. :: ;t

'" " (j y' 0J.t ~ i

" 1\ Ot·Ot "='J.

(oJ( -t &'/ -t

d~ ~

C'+ 1+ 1)

3

0"t- ) 07..

" '"' o t. .Q-.< :: 0

0.-" o\he r dot Ipr()c\..tJC~ bae-rnc zao

OF. -\h~ {orlfl clof prodvd beiweef)

two unit v .... clo r whit: ore odhCCJ6 (1dJ

Website: www.GATECounsellor.com E-mail : queries@gatecounsellor·com


Ques. on Set: A [ 10 ] B [I~ ] C [ B ] D [2.0] Ans: (A) 0 (8) {2j'(C) 0 (D) 0

l ~ t~) (r; ~:-To Df~J\I'rnaJ-e. 'Sif\ &~e wiihin. lO/ ~.

To h rt & '. - Max.i WJ\J(Y) vcJ.w. o/) e ~ s d 5 Da- ~ 0 v-e .-A- \JAo..l:? Oh.....-.

Solu.bOf'\... :-

to Us I ncr C oJ u...J. o.:h9'I \AX.- ~ '1 J , )

e' B'( ~ h. e I eJvL.8 ..Jt = e - <; I '1.5 j.,\oo ()Y'

10 • D ' 11~5 O. 1"+ .3 6 0. 1515 1-

O·31'-i1 0'3>0"10 \. b 2...3 (,

if

0'1-660 \ 2..- 2 \ b ~

\ 36 · 33Lf\

Co h c)J.;.b i 0 '1;:- \-Un c.t. o

/'-W,x.i WI 17 rr\, VaJw. 0 \r e = \ g

t.J h.\ uh. .L. to LV i ~ If;' 1- V'VWJt,.

bpboV\. CB) i.f..



Ques. on Set: A [ S- ] B [11] C [ ;3 ] D [2.l] Ans: (A) 0 (B) 0 (C) 0 (D) W

~,,,etn ~ :In a.. :rC -i-t:.chnoloaJ, dr>J O:xI~do.-f,·<1I'\ atnd I-Id- eJ)<icia..-h'or)

To jln d ' Corr-..pcu-cJr>OT\ 1- dr>.:1 0 x,' c!a..t,dn am d 1--/" t- CJx i Jo..-h",m

~ dar.,""e d chClJLa.c~c5 a,y, J 1'X'llu'n~ em -! 5 cd---ff..a. In-bn ic",--* c}

OX i cL. Can be.. 'lrlo.1 (\ b i nj-\UUI'\ ~d b; ---t-k l.tt:>e. c::l 0)( I ckrJ- s r u,' en .

N;+h d~ QxiJa..i{O"I1.; rnomnoJJ) h.if'--9~!J -iin oxick j, 'lrns QJ(.Q..

pnod.u..ct-d. . .l)t..U'(J."d hd- ox,.l",-h'O'f) , ~ SlI,'con Haj€/7- is S'~ed -h:, "l...

Nc:J.e.n V"'fow<. -f.em,ren<>-~ . HeJ- ox,'dv, (toY' .,,~~ :P= +-- ComfQfuA.fu

, ,~ " Den1 ax, Cl..CLTl em ;



Ques. on Set: A [~] B [16] C [10] D [2.2.] Ans: (A) B1S) 0 (C) 0 (D) 0

(JU:VenL: FaPr<o..nd bi=~ f-n. :]l.(ff!diM dt'oclR. oo

To JiI"lJ: :Jh.a... se.9~~ V- €!I€rt\ts ~ bt- dQr"cr:>ib ~ m(chClrn(sm V~ -jjow oo

r p,~n j V

I1"\ 0- -jur>Hand. bi"",.,cl rn JLUY\c:J,'on cl.i"ack J ~ ~oJ"\d. vof+o..a-e-~ is

o.pplie.d/ oJ:-j-nsr -thJt. mincmi!J 1?ArtJt.leN-> aN- Inje.c-kd. -thn~ ~ de.pk-fion..

~'O"Y\./ "ii-<:J- di}fw:>e.d -thnatJ.~ 1hL d.~le.-l-\on. perr'cm.- ASJ ~ 1'T1,nO\"lljJ

Cb..rUlJ.'enn c:l.~e... -fh,,? -tht... d..r1d'an p([iOY\J 'Th'J kill 'r'~combrn~

rrl +h e.o...c h. o-lher\ oo

Con..ctw> 1'<711 :

f.lemOL I!!f-h'17rL AI (s (t7r>r>ec~ oo

Website: www.GATECounselloroocom E-mail: [email protected]


Ques. on Set: A [ 3 ] B [ 15 ] C [ H ] D [~ ] Ans: (A) 0 (B) 0 (C) BiD) 0

'>«(t-) - ->1 hi (~) r i(~) >

~X(~-b)L~.r.:-;-;::\, ~ (t-) >-1 h (b )\ I-- -..-,>,>

fT,om. Ppoft.n+J ."j- U7nvo I ~On '!f eon-hnuO'W> -h'me f}sbr,..,s,

hlt) = hi (t-) *- h.d!:)



Ques. on Set: A [ 1 ] B [1~] c [ 13] D [ llt] Ans: (A) D (B) D CC)0CD) D

~"ven : A bulb opuo..ted. bd -two S.IN Itches.

B>o+t... swin: ke.s C~I;\ opey",f-e ;v..cle-f ev ... ,,te¥l.-t0}.

Me lOjic of .sw;tcJ"/(j of blA.lh.

D i.J; t-", , Lo j"c:...

5 0 14-60 '1: L.ei loU C 01U; o!. ( v -t4e ~w itc k ~ A ~ 13 o.,v.4

hu.lh Y. ~V\J;+cJ,.es CGU'\ be ;\A two P'Clli/:;)c>11S <..ApLO) ~

dow," e,) . ,S,tQ-rb if w;tL.. botl-- A a t.o.d J3, I'''' '1 ro~i tio "'. L e.:t -fl..-e

bu.lb be ofF. Now, .s.;VlCe. & calA.. 0 r ·oro,.te ;"1d.e.f e..d.elA..t 'o~t..e1,A. g 30e.&. dOWVl, ~ ('u..lb ~;oe.s oN.

A B "\ '-'plo) "'plo) oFF

.... pc .. ) ,1"",'(1) ON

Now, Cl-fJo.,'", stp.'fti~ wj~ hoi'''- A til""; g ;'" '1 re<.;t)o"l OIvJ

bulh oFF. wkev. A ~oet dow"" bu.lb VJ ;/1 be 6 N. NOV" '('!.<Lpi'(f

A I'" d., VoJVo F',tioVo- vuke .. £, 30 e.E. .,low'" , -f1.-..e- hull, wil! JO

oFF-. A B "1

Jo"" .... (~ v-.p(o) 01'1

Jow " (l) ~ow".(J) oFF

FiVlQ.f I tyv..-f'A -mble. U'YY~r·"'J.s --h xoi( ()~te .

So I c.",'Y'Yee.-t Op6c>V1 is W. (Co)



Ques. on Set: A [2.. ] B [ 13] c [12-] D [z.s-] Ans: (A) D (8) D (C) D (D) ~

Gtillem: Ve.drm :/ie.ld A(r:). ~Iv... closed 1000f ink.ral cj ti-JlL

To j'n d ' Su..n~c.L in-kcro1. .

FpGm s+oK0:> --ih!"<m&m../ ~ c/6S'e.!::l {crop )In~ /r,-k(JcJ.. sWl.:fe.a. in..f..rrJ OVUl ~ 0fon. SUJ7ja.~ ~4d

Website: www.GATECounsellor.com I E-mail: gueries@gatecounsellor·com


Ques. on Set: A [ ~ 1] B [3 {; ] c [.3::r] D [2.b] Ans: (A) 0 (8) 0 (Cill (D) 0

I'Ci,\/~ :.- u g V a"('e lV\de...prnde.Vl+-·

- ' U & V ~ ~~ ideV\t!co lid cLismbu.W

P(u:: -tl):: rCu=-/) =- X-2......

H (U-rV) 1 SUM &6 ~ twp~ ~ MO' ; )OJY\ d C'IWI \f C( 'll'I' q ~ Ie.. J '

~ ~~ts1S ~ie.p~ H (U+V) ~ H (U) ~ H(V)

?r H (u) L., HLU-+-V) -* Y1l V) L H CU-tV)

~


( 1 )


Ques. on Set: A [4=1-] B [~'] C [3 :::f. ] D [.2.'- ] Ans: (A) 0 (B) 0 (~ (D) 0

H (V) ~ ± 10J! f ~ (o~ L

_ J. 'f I -f-!.-7< I .)-. .L

_ 4 - J-. .

(H (y) ~lJ

H(cH'V) S. H(U)'f KLU)

H (U-t\J) <s- .i of L

["H ( 0-t \I) ~ 2. (

~ [J{(;)';' H (0 of\!) J

(I ~ H (U-tV) )

oph'oV\ (A) IS ~.

it b ",0+ po-ssi'bk

)

e.,t.\. t-- Op11C1Y) (r!» I (c) I ~O) Qll u~ b/tB- 1. 2. 2. 1 <"oJ

2,. U)V\ '0<2.... poss; blQ.


CO'tt · I'l. I


Ques. on Set: A [41-] B [ 3 b ] C [3 ::H D [2{,] Ans: (A) 0 (8) 0 (C)J2((D) 0 •

~ Le.t- do lit: c.. 0 VV\ P \e... +e. po>~ i 10 \-e.

( J tJ '" Po~&-ib 1~ VCJll.<t- U

C CJV\ .\-e ~

• • •

u V

-ri. -tJ

+1 -J. ~j +,i

-.1 -j

• " 0

-I".i.

-t.1..

-1 -.1

U-r\/

o -2

\;. +1

-.1

t.1

-1

-2-

o

, I

volL.le. V C CM f:qK<

\"-1 e, t.v\ U =- -.L ! v=-- 1.

W-kvti U:- - J. J.- Y =- .i 01Z.

U<=-.:L .t v= -i

Website: www.GATECounsellor.com I E-mail: [email protected]


Ques. on Set: A [4:r-] B [36] C [31] D [26] Ans: (A) 0 (8) 0 (C)£(D) 0

-* gvd'm~d H(tJ-tV)=- PI\I!)Jt, +PZ-10}t TP3IoJL~

- J.. 'o~ 1 + J... )o~ L-r + -L lOCI 2 . .- Lr <J ,.. ~ \j ... .2...J ..

- ~ -+ .l. +-L 2. .2.. 2.

~ -(he~e ~(.(e5-h'C!Yl Se.e.W'/-3 io b~ foU~ loG{ +-,i-fJt

0p)?!.j bC.(ls1'J. -/--hq+- i.s IJ-l~cd- CI'be foss1bt.'U'l-kJ g whaf a.ne ~

fro ~ 6 i G-fje s ct6 OC W{eJ1((" / ':10 II CCJVl evev, 8e) Iv.e. \1-( -o.,~ t+ is

rVU .. #.H1ple.) b(J jv.s+- c.:~e.cJ( po~.s;ble (!p~<?.! +teJ. Fb~blu~


GATE Paper: I GATE 2013 Solution 3$

Ques. on Set: A [46) B [~C [3 S) D [.2-=1-) Ans: (A) 0 (8) 0 (C) g(o) 0

~~J)J

Tor..£; .

~Y):_ 5i'l) ~ f3 ,-' v~ (~.

-=- 0 ' C:f"~O I ~ b}.L) . T 1>.::::::" f.. ~ I8- ~ LL

'-k ~ LV'O fro d~ rvzrW J Vb~ = o .1- v.

50; Vi) ~ Vbe + '4

- tJ.'=J +().5' v

(I{l;W/ VB- ,,'- . Vc.. "-

RL-T f.t

=. /.2- v·

~= !U~~v~V <::. (J.s--Y '

Website: www.GATECounsellor.com E-mail: gueries@gatecounsello[.com


Ques. on Set: A ['ib] B [351 C [38] D [2-"1-] Ans: (A) D (8) D (C) rnD) D {,0;<.1'2->< IVl 6°JI(2-

KfL. . . rz ~ =-11'8 L-

~~P-)

R2-= 40 [L..JL-

A 1\5 . © fZ2 ::: '-r 0 PL-~



Ques. on Set: A [45"] B [~4. ] C [3:\] D [2$] Ans: (A) 0 (8) 0 (C) 0 (D) 10"

CliveY\...: -

So\~on·.,

1-/ ,-d. ' r') , hI.' ,_ L .• I-'-- r"" , eo..c. c.~' p rlel,.s. \ 0 2.'-\ ~J <:.

Ec<ch C~r (,)1\\ <2.hC4.b\~ meC4.Y\~ ev,·..J....t.. c.Jo""K

On\~ WNy\ i-b '2.n",b\..\t. pin h",~ .l ~

5'.0 i.:h Y\e.t;~C;SctJ\1 w cY\e..\c.. in l..)hi<:~

COhc:ll-',\oV\ ~ <:."'-1 p E. h"\b\.J2... , ~ c"~oll\

dec..(d&. ~ Cl.e\~e~ -S-\t.\,y\~ a>t c:~p .

FOo'"\ CNP . :~:\..

Chip *"' \'5> e\'\~h\-e.. W~Y\ 't"N.... -tN<- m~~'1:~

0'-1..\" put c0(' 00" Co),~ b..-.. i. ,

~ Y'r\~p\~'f;e.t\ C)~u..\- ~'oo' 1'~ ..\ c.)N.11

S;:e\e..~oV\ J...A.'t\...Q.... S; \ S-So 'a0€.S to ' 191 &- C".he\)

.r ..... ~"-\- i ~ i. ,



Ques. on Set: A [4'.>1 B ['bit.] c [33] D [2.8] Ans: (A) 0 (8) 0 (C) 0 (D) ~

"r 1'Y\......cn~T~ 2n{)~" I·~:T'N2... o~u.t oj- I Rl'-ID' C;AT E

<;'0 ~ \n~<4- <:> t I'n~.pl.( 'f-eI'\ I:. i r tv\e<\y,-S

oJ--\. ~ \ n~~ "i ~~o ~ ttl ~ m\AU- bJ<.. i,..

A \ 0 --"> c:>

A" ~ .l.

Al:2....~ 0

f1n,~ 0

C lhv.t4-~ ~0;1 ihM o}--I1~D ~~)

( B lA~<.t- i"'flu.t '1 IH-IL.) ~~ J

F ""''''''' : _

~;-

A\:\ AI",

0 0

• 0 0

l s'e \~t. h~ ~ \'\..Q.. of- M I.qq

L~\e.c..X\'o~ \\'~ Clt fY'/..l~)

AI" ~ 0 C. ~\"\V~ fm,\"" oj- p..I'\DG~J

t:i, r ~ 0 L ~LI -------

f-\ I ']. A,z.. RII Ala f:\'3 1'>.& Po., PI, A r "A~ A:t ~L~" r.to 0 0 ..\... 0 0 0 0 0 0 G G 00 0

0 0 .l. 0 \ \ \ \ \ \ , \ \ l

0&00 \-\

Website: www.GATECounsellor.com E-mail: gueries@gatecounsello[.com


Ques. on Set: A [ 4~ B ['!, 'I ] C (3~] D [~] Ans: (A) D (8) D (C) D (D) g

C~I\p -#'LCul..U. e\'\",,~ c.u~K.. MU~ o~~ at 0 I

C0UJ... P€. ':1. I.

\'YH. tl. \'\~ S. ~'o Y'\ J.-\ N.. S, So-=- D 1

t oL..\-P~ ~ ~t-\D ~~ -=-- .l'

1'\o CV ~!W\~ ~J1 f.\-d.olA..L~~ CV<Ll!.'J,)

AIr AI'\ 1'4 I:!. AI.!.. A" filo

o 0 0 :1. .1 0

fAOI'Y\: _

p,'l P,I" 'PIn 11\.t. 'AI, 1'4\0 Pt~ A& Al Prr rJ:r A" A3 A'1... A I Pro 000 1. 00000000000

--\"V '.-

o o o l.~O\' \ \ \ , , , ~ \

sim Uw...l.~ Ch.\() #?, g CNf' '=t1 '1

l's ~oo h - '2. 11 f F 11

8...- 3 &'00 1-\ ~ ~ €. F-F 1-\

CeNt 1131

C c~'f it '1)



Ques. on Set: A [44] B [33] C[ 40] D [2....9] Ans: (A) 0 (8) 0 (C) I2f (D) 0

L(.ts p-kV\ W &JIve. p-mb 1e.Nv)

~ - rCqpq~;I~tl!l

{I ~iVeH\ :.." C 1 .io.t.(r-

volue..s:

loY

Cl. s~ r- 5V

C3 2.1..\ F '2. y .

B

tVl .u. C --- .

~-7.c:)W~ will J;"f~+ (Qlwlcx1e UVLJVqreYl+LQ~u'+OV\(e ~ (j)ve.Y\ J I'Ju-te •

!2) BJ CQIQ.(\a.+r'O c..O!pClc.J~VI(e I \AI€.. Ul..v7

eke d<. v-I ~;c1I OV\.S \J\I en co V\ b ~ -tt".Q..

Wkl11m,., li-l- '6"eriu(~ '(ou.~ e.JJoot iV)

<:;so/v,' pYOlolew-t .


Co (\t '


(£Ofl f.-I Ques. on Set: A [44 ] B [.33 ] C [ 4 0 ] D [29 ] Ans: (A) 0 (8) 0 (C) m(D) 0

£.l \~e.M Q-rPJ0 ~ '('eVV\QlI~"1

"tC,.NV\Q IvU '0 Of+{ C V\~ ,

)1 ~o\vf~ : ~ e. "'61'e. ~ Q II1d we... K V\ Ov-l -+1.", oJ- IAJ~ c....q p:.L i ~V\ t E' () ~

..l..V1 Se"6)'e..s 9- t.J vqle....V1..+- ~pqC; k,,,,-/:e.. = C2- G

(2.., + (3

~ W~ev'I. +We C.-ClpOU1-o ... cere..... lV\ pc<"(olle.L ~

C::. C I -t (2....(..3

C2......-t-c..~

- 1 0 ~ I=- -t- 5-4 F X ~ F 5-1AF-+~F '

-::: \ ! . Ln_~5-4F

OptiOVi 0\)

Website : www.GATECounsellor.com E-mail: gueries@gatecounsello[.com


Jc_orJ:.] Ques. on Set: A [Lr4 ] B [ ~ ] C [40] 0 [2..9 ] Ans: (A) 0 (8) 0 (C) ¢D) 0

Now W~e..t'I IY

Q..) 1 V X \ I f1~ 8 5 J.1 F -;:. 8 O.A.( (.

~bt\c..~ fell o ptio V1 (~J') rri. ~ h t .

O()~ ( ) g d' ore LeJf ' c.

~;.st ,

\ c.1~·L ~ Now. QPp1d IV 101) Cl,vtJt\

Vot+cie.. Qt.~S.5 A-B • 1\/ ~~ \H~U\ IS

(.1 ~II\ t,.C(V\d/e. i,+ 6(Q~ Ma.X' · BoeakdowV\

vol+rut~ Qt'lO~s. ; ~ 1.0 y . cJ \.v~ (V~)

L.L c..; e w..~ ... .R:. Q t "ross AD ! H E: 0

IV .

s.. e.. n.~ 2:(:) C.:f0 Q(j e... Q C W.s.s ~eAIY\ IN i \ \ OC So VV\e .

C9L,-= (93 ·

L'L V z-:=' (3 V3 .

C2.. V2.,. ~ C3 V'3> L Y2..--tV::,:: 7VJ.

(2- V2,= ~ (1- V:z.)

(2,. Y'L -:. 1(,3 - (3 Y 2. .

Website: www.GATECounsellor.com I E·mail : [email protected]

GATE Paper:

t2J I GATE 2013 Solution

f\.~ • Q . ues. on Set· A ['t4 1 B [ 3.3 1 _______ .~~~. ~~C~[4~o~1~D~[2~3~1~A~n~s:~(A~)gD~(B~)~D~(~C)~~~(D~)~D

V2.::' 1 L.3 --=---L"},... -t- (,3

V'j ~ 1-- V'J

-::: 1- 2

&3 ~ 5~

::. 'LV

Y" ~ S V , fo.o., but ""OJ<' vol +<;j~ Q C '" " V?, '-"'" b c

:( V L \,'0 J- 0 100 v "- '" j, t'",".it b '('eo K.d ow· J . a~ [Y? ~ ~2-Y)

B> \.A.. t:- ) \.."-1 ~ e,v\ "'Ie. to. Ke. 1 y ft....e.Y\ V'3 h. 0'1 e. t o be.

.5 Y wt-..,'e,h -1\ V\ 0+ pos~ b I~ ~eJI1.l~ d' ,'s q I ro

\N.WV\j'

OV\LJ op-h'oV\

[3u.t I 1. ~; \\

Website: www.GATECounsellor.com

\ )

C

E-mail: [email protected]

COlli f \


~ Ques. on Set: A [44) B ['3~] C [ 40 ) D [ 23 1 Ans: (A) 0 (8) 0 (C) .c:Y(D) 0

L----,t---' c.,

vol~e.. C, -:: 1:8V [postil::.le. 0.5,. {)·-repK.dowVI voltcJ!. ,'s foVJ , o.C.'RbH

V2- :: C; X 2·6

CL:f C~

[_\1_2.. _-_ ._B_V_J [po>&1 b \e Q ~ boc:.q k. d 0\..0\1' V(!) I k;r C'I(')Q1S"

~VJ.

Y3 ::. ( ~ 1<2. ,8 G-tC; 7

Cl- Is..

::. Z V LPos~ ~le C<~ breakdoVoJIA vo(t-cJe. ClC~J.s

(3 i~ LV]

*) 1 {t"t('1 t'-, c.at~o., . -===9 A~ I 0 I Qeo~

Ie' 1~ hue. No/eVle ~I~e.·


(0'1 t '


fCfftf. r Ques. on Set: A [44 ] B [33.] c[40] D [23] Ans: (A) D (8) D (C) [LI'(D) D He:tt.-oO

Vol c.. QCWSS CJU ~u'+OVlce LS Vlor

.. de. b wU V\ e vol +e~r~-- o..t'ttJ ~~ oU1's t-cM ~e.. v-<e. J v.s + do %

w e. ~ 0 V\ t- 10 de:k~ . .t1AJ' V\ CQ. C( C yO s S R, 8. R~

G CL

Cr H: le- O

13 B u -l- ,'" LeJ )? CJ. e,; J-o"i A- '7 ~ VAf!> r

~) ~ Ll- Y.t.. f) L/-+ (2-

&CJ I dCM'+ o ppl'd CA PC( cJ Iv 6" O\'\e.,

Te..&1S f-cm te.

ld JOt.! do

'10 (~e me.. fVrod ..l."Vl to.

~cd' ~eJ/\ y (;)4 lJ.)lll ob~/",

\0 I os qll1~tLJ.Q.;"\1 but- wwcJ!\ 15 w~J '


Con} .

GATE Paper: Sc... I GATE 2013 Solution

Ques. on Set: A [~3 ] B [ ~2-1 c [ '11 ] D [ 30 ] Ans: (A) 0 (8) 0 (C) 0 (D) V

c ' IO(-lIe... " ~

II<,fL.

'I 'I

) 1<...1\..-

0--

Dtj

A"" tde..CJ.\ o.;oole. Sa.:t~,

. c.. ()/'L /.. : -

.. cal:>e. It :-

H U\Le.)

ope.n ci'Yl..w+.u::\ - when ~o..,,· "iwexl';,e. ~i~ /bho'/'t c.iYl..w1:Lc{ - .vhUl do-ywCl_d'oI eilM>~

• • \ 1 IJh......, the +e...y,-n' 1'"\0.\ '/ i I) ..rYe. k),y. ~, "2.J -Tt;Ul '''If

l1'\e.. c;l.<od()) 10;\\ be... oPU) Chuure.ol.

HUlt.f!. 'Y10 cu. .... y-ent b\owf) -th"YbU.ah hle.. CiYLult"".

S c> v,,, t"(3 e.. ol-v C> p ~ L --r oI-IJ /.Ox. L"" 7J e... --r D .

-\Ie.. \ \

IA). --(·t. "lJ

-the.. dl()ci.tb wi II l;,e. ~ ho-rt cl'Yc..Wt"eoj ~;"'2 t7;e.

vOlt"'-j e. d 'Y'O P N...'YoM I K.A- -y 0.. it) toy o...nq t.()" to be.

7J e.... --( CJ



Ques, on Set: A [ L,J.. ] B [3L] C [ ~2.. ] D [31 ] Ans: (A) 0 (8) 0'(C) 0 (D) 0

r_' , 1::>\ ,\ft.-1.1 '

YeE = 0 V 3Q;t.

\Icc =- + 5V

>Wfr1'C V~ \)att..e

0 o V

\ -\- 5 Y II

.

PJWA " I A •• . ~ -4-1.. u ''{u.U-t' F,'9z-st-- W<-e. Xl- 00 ~e1.N'L-<eM . V A,.N''-<-

2. ~1/t~:t:c1Ju ):"~o, ~~ JM.u." ~ W c1rzud

3 . '~I; ~d~ :;hev/<.e )( 'I :: '0 ~~ " ' , , ,

, ,

)( 0-0 --IM.M---1

y

Website : www.GATECounsello r. com I E·mail: [email protected]


Ques. on Set: A [ 4 2..] B [ :3!- ] C [42-] D [ 3 1] Ans: (A) D (B) G"(C) D (D) D

C~l D«t Pliw :

c..~i: ':l( y.=:.o 0

of T? i/ +E Y

1 '{:.Ol!

z: ov

X,(-OI

+5\1 +5v

i ~-r--~ Z:= +-s V

I'>-~ -lMt'--h K=ov 1

z. ~ ! y=- + b V

x'{ 10 +~v

+-5Y I---~...,--O Z =- 0 V

ON

y=-ov

~. Website : www.GATECounsellor.com E-mail: gueries@gatecounsello(.com

..,


Ques. on Set: A [ ~ 2-] B [ 31] c [42..] D [3i.] Ans: (A) 0 (8) glC) 0 (D) 0

c.&vtt-61 ~

". 'f--

K ,{ == 11

'>f

roV R,

+sv

-Z ?~.\ g,t;eR, ~o.t:e

() C) D C.t.t.t ~ij (Om

) 1 Cu;t-*fr C rn:-F-)

C) I

, 0 D &::rtJ~ CoN)

I I 0 S~ (DN)

I ! ~

- .


GATE Paper: SC I GATE 2013 Solution

Ques. on Set: A [ '11. ] B [10 ] C[ 2r 3 ] D [32 ] Ans: (A) 0 (8) 0 (C) ~(D) 0

..-- . IOP'c.. '.-

Solu.-t\oo: -

'To bird. VOI.ue ul:>e ..s\}pe"'rOI:;rtAo~ -rl-Je.o-(e"'l b~ COrli1dJ,,;"j

-7--"\1 ar)~ -r-l v t.-dtviolua l~ . \ K-VL.-

"~VL-__ " \I 11~J\- \1<A-~

Va '::1 +- Vo~ = )RJL-[ +

\ 1''''-

't-IV

P-i';l . IX) 'w hen 0 () ':1 -").. V ;"0 lL "fU2-

;:;:, 0Il---tt ns P-':) . b) t.>h if) 0" ~ -t-I V /)OU-"!L- 1:1

Ol~.:t<ns .

Vo 1-.\ -::: .l::- X \ K c::. 2 V 11<. .

=:=. 2-- + '2- = Lt V

'Vou.+:- C of) be ;3"'11 e.n bg Of'Pb t"'3 1-<-e-L CI.-t-

1 \ • 7tode.. ">( t n'Tr:e-

Ir\~ LL --f'e. . Vol VOI-\JOU.t' -+ -lIZ II",

Website : www.GATECounsel lor.com E-mail : [email protected]

GATE Paper: E C I GATE 2013 Solution

Ques. on Set: A [4 0 ] B [:l,q ] C [ 44 ] D [&3 ] Ans: (A) B (8) 0 (C) 0 (D) 0

fop i C :

FofY"ll uill. : Y15) :: -UlS)

)

)

j"d ivl' d unl loopS nn ~ou..1

(Coflb i.,t.tJ )



Ques. on Set: A [iro ] B [1' ] C [44 ] D [33 ] Ans: (A) 0 (8) 0 (C) 0 (D) 0

o.it Yl 0

Fofj.Jlld po.K,S o.ie. :L

PoOJ/l.1J po./i, ~cUflG o.fe.

~ !J. -, - 1-(0),,1 ( '.- No to op

~ 6'L: t -(0): I (',' No loop

A :

~ 1- (-~ _~_~) '" s· S

1-

So VlS) Z PI( A,,:: = :: 1<: 1 -

()(5 ) A

~ /'st(t)t Y5 (I)

~/S 2. + 'Is + 5

- 2.; I - 'i/ I - 4 I - 2/'5 52. 5

P,:: ,·2..o.!-./:: lsI. 5 5

Pt = I · ~ . , :: Ys

i5 p1&StYl~ wiU,8Cit

is ptt.StYlI: /.JUh,.

P, A, + PI. ~2.

A

h> ueh ;Y1j

I-n o.ch;\'l~


p~

Pi1HI

I)

2.)


Ques. on Set: A [ 4.0 ] B [ 2.~ ] c [4ft ] D [.33 ] Ans: (A) G (B) 0 (C) 0 (D) 0

~(s)

Lit'))

-u (;)

::

-=) HI

7

S + I

Website: www.GATECounsellor.com E-mail: gueries@gatecounsellorcom


Ques. on Set: A [3..9] B [~] C [45"] D [3Ir ] Ans: (A) 0(8) D (C) D (D) D

l.) r: I l Gi .b c GI ] [0< r f6]

~ 10 C.- <9-\

[p 01 ~ b C.-

~ ~j,J - [llIbcefJ t;j c.. 10 c

b c rYf Q

To tl}\~ '.

~~~ts: I.de.!~ 1w.d

~f-I [ '<{I (TJ) @ ?(2-(Y>?] - X, 0<) . X 2.. (I,)

X,(I~)= /J~/[Z,(YI)]

j(z...(K}=. ,()~T C ?<2(Y>J]

I, II,NIA-rR1X M£THOi) .

- - eJ)

--@



Ques. on Set· A [ 33 ) B [ &) c [4 . ' . 2. 51 D [3'r ] Ans: (A) @,(B) 0 (C) 0 (D) 0 ~.

,. .:(..lJ'))._-- Xz-CM)3

0;;(2- (p ) aJ~ ) ?(.~ IN-I) - - XL

( I)

~.2.tl) ~2- (10 ? -;(2-- ( N)

«,--(I ) ?t)...IO)

1''1 ~(i)

- - Cf)

'":ll (Yl) * ~(J'» =-

Website: www.GATECounsellor.com &w~ E-mail: [email protected]


Ques. on Set: A [31 ] B [ 2.S ] C [ 4s1 D [3'1 ] Ans: (A) [((8) 0 (C) 0 (D) 0

~.

C. Mh if '1 tMt e-t1]J,V'

\1s1~ ~ [0. beat J e.1et.-ir ~'( M

f\!~ eJ-r~ uYf\vW-J1 /Wt ~ [a b ( ~J u91~

Jj-sef ~ . a, ~ c. b C\

~ :T b a" 6J/ ~ b ~cJJ ® Co bc..ol] ::: [CI '" C0- b C. Qj (

eJ c. b --6. oJ

Oi ~ c. b b ~ aj CL

'- b Ot ej

oJ c. b ~

@



Ques. on Set: A [33 ] B [l-S] C [4s-] D [Yr ] Ans: (A) g (8) D (C) D (D) D

~,

- [o<rr~J . [fl<f3 fbJ

L'" I'-T LP "r "-,, J - [0< '- r'- fL 6" J J J::~i"i.

-' r OfHlm (AJ JJ, ,

~JM$(~ ~ ~ JA;vfev-~ ~"IM' ffi ~e ~ A

vi (u;tt M-q ~ s. C~ .J:;e !A9 ~ 'f::tevt \.hJ ~s;_

~ V0U1YL ~ ~eIf ~ ~ i$CL1/vJ. A:;;tU1-

Website : www.GATECounsellor.com I E-mail: gueries@gatecounsellof .com


Ques. on Set: A [~'O ] B [2 b) C[¥ ] D [35"] Ans: (A) 0 (8) 0 (C) 0 (D) E('

"Two .PtMA~ ~ilIkit"U\.v.) U ~t;{ V; T6ItuU1'L~o-

t# .&tit'; M.it e.8 .

E ( U) .:: 0 ~lM E (V) = 0

Cu"IVIU J~ve o.tt'~tlJbt.U1'Q4;\, i)UMUf01tt. C ( 0 t=) :

P.t(UA

Fv(:X) =- FC-x)

F (x) = Gj (:>r.) z,v

R,. \I. u~v

'M-ecw£ ~ F)U)~'U~ ot~i~ t4M.1·t{OtAq"'l~)

wA U vk SCI VVU1 . A lAG! (' IJ F- J.l tiu ,i-u.N ~

c9j) fa.! t .s 0 ~ h CD F- l..lP1A.') ~80 ~ .gQ~ .

I. fi!tU HIA~ p~) -6~) ' T~ /' ~e.tk ),;t&

fl/6iHV,+o n Vt.Q~~\;l\'d .

2. ~e~~~ Fi~ CF (X.. ) - ()\x)) :x. ;. T~ ~

..us F S \'t-iV11 6l'l. \Il..eOaJ1\J1 ~ .

~.



Ques. on Set: A [3S] B [ Z-b ] C[ 4-6 ] D [ ~ 5] Ans: (A) 0 (8) 0 (C) 0 (D) if Untt~ .

C-aMt'1 ~ rCIAA :

Fv ex ) ::: Fe?::) =- P..Pt ( U.so x.) --(!)

F- (A:. ) - is] Q<.)

NoW Pc 2 v ::?() = p ( Y ::: ~ )

LJ& ;U.MsJ hQrult ~ v&JJ~ e~~e8M().Vv

Fy ( ~) = Fu ( ~)

~~r~ @ ~ © ~ @ :x.

r-= 0) - G,(X.) =- F 0 ex ) - F=y (:i)

--®

--6) ~.



Ques. on Set: A [ 3't>] B [ 2(" ] C [46] D [ 3'5] Ans: (A) 0 (8) 0 (C) 0 (D) B"" ~kIl.

r- ex) :? fC ( )(/2-)

=:> F8-) - F (f) :::> C

8w b ~ €V 1 F(x.} - 61 Q<.) "> 0

-ve

=')

-') F~) :s F ("'1:2-) =/

- - 0

l' -: tJe-n -~ .. cJl €ttAi1 tVtM.-t-I' 9->'\ ~

~ ~~ @ IF(?() - 6r(?c) s. ~ _@ ---------------------.------------------~~~+~.



Ques. on Set: A [3S] B [ e.b] C [46 ] D [ 05] Ans: (A) 0 (8) 0 (C) 0 (D) g"

~to.l.

go ~/t1)1M. (GU{ -L ~g) (~ 2- ) hegu),t- ouk. ~wdt

~eMBlJ, Orv fl9sitr\J11 ~~ Pt.(JadilJJ·~ 1" 'A. iu;

~M X-? 0 ~ ~~ » 0th'()1/! Cf3 ) ; fJ,d r ?( < 0

OWl ~ LV€.h ~ r;ph'Wl (A ). 8w- loU}t ~ ~ (A,) ~ ce)

~ M JL~~ ~ ;;two ~'6Wt..\.

NOlAJ M ~ h9 -1fVL&f .bfYWL{ ~a)f bD't.!Nt

~rYL 0 un ~YlS~ ~'rk. lA,91' U J7e -jft.u<. r ~ wJJJe ~ rx i. f. !!~ f()bmw ~BJ r'W x.

ILI\u))-I~ ~ ':L J vV{ r ) c p~) - 61 Qt.) ) 2( ::;. 0 f

~--------------~~~--~



Ques. on Set: A [0'0 ] B [2-(,] C [4-6] D [05] Ans: (A) D (8) D (C) D (D) IT ~.

~ ~ ~ v<!l<AAo1 @ ~ ~ I

, ) byo--H QV\ C IJ 7 .h UJ ~A eff vCvug wVl }

El(o~~·. A Gr~(W\. haMillP-w"v ve..No..b-It wi·~ ~ ZISRO

1'x (x) :: _1_ -J.2.Tr Ir

--L-. ~ ~.--- I' b'

-', , ..-" <."L ... \ .'

----~----------~------------~~~?~

fctu. ~DP- ~U ~ ~x.i'fYleitetJ ) ?(..

F.I( (X) =. J iK("'-") Gta:. --

------------------------~----------------------~~~~. Website: www.GATECounsellor.com E-mail: [email protected]


Ques. on Set: A [os] B [~6] C [4-6] D [ ~5] Ans: (A) D (8) D (C) D (D) GY ~.

~J,u~'/IWI: %.e 4~*CI.Nd pvrV\.t .;t& }\e"W\~ ...w q"eJ!.;HQ-ftI A ~ \f cfJ~ ~.~ ~



Ques. on Set: A [3::r] B ['2..l ] C [ ~l1 D [2:6] Ans: (A) 0 (8) 0 (C) 0 (D) W

J> A 0.' \J\ P ro"T1 ,~ A... ""'-'\"~I CC)n~~ co~Jh·ct'f1,.<\. I JiA* O\~ ~ dJ)f~\-.h'ctl. ~L, ~1 !j<t-)

~dnG f'-\I'\.C..h'o\-\ - x.(.t)

- 2..';J l:t) I b~ c. ~""Y\'d-iV\~ ~

\) oJ...l.u.. ~ 6"..ct) &. ~ (e)

It.h ~ dJ HeN. 't-h'0. ~ h

d ~ -\ {J d -::. ~O;-) ell-

• 1.5,



Ques. on Set: A [31] B [21-] C [41-] D [3.&] Ans: (A) 0 (B) 0 (C) 0 (D)\16"

- '2_'j \.:t ) -;..

So ft,,,,, W- - 2-'<)4-), CV\.C\Y\~ ~ ~~) b~ - '2..~t~)

&- ~(Q) <.b\\Xh. -2..~Ce)



Ques. on Set: A [.36 ] B [ltG'] C [:2.6] D [3=1-] Ans: (A) 0 (8) 0 (C) 0 (D) 0

D Uie.~<J, e-t~ oj- j~) D. 1tGt)

d l'il +.$: ~ C --I -=- ')(.. CHL cU- -t CJ

l' . To Find : - l..CI. p \.., Q '-b .. \<~y\'s jwI t'Y\ oj Y I.t)

(t:.. y~)

s; i h~ 'Y\~) Ca.Y\ be Wl\;~~h i\l\

~V\t.HoY1 of :t- '-\.~iY\C\ s.~p .t-u,Y\c.h·o~

W«". huc), 10 'X~) (L"rl"1~ ~<-\Y\f-...-,.,"", of 9\.10\)

rc I \-2..$ ')<. "" ) :: --'-.. - - e..

...s ..s.



Ques. on Set: A [36] B [4.8] C [:26] D [3-=1-] Ans: (A) 0 (B) 0 (C) 0 (D) 0

£.6

f\lcxu \...IsinQ lq plqce +J\"'nS~1'Y\ or d\"}J~~<tl. ~":_

Y~)-=. 'f- ($)

~2.-+ Ss -t 6

l' ..1 -2~J - .s- -S~ -

s,Stn-t.c

_2. ...

- \ - e -::,cs-t 2.) 5.-\1:,)

Website: www.GATECounsellor.com mail: [email protected]


Ques. on Set: A [35"] B [4.1] c [ 2-.:1 ] D [38] Ans: (A);JcB) D (C) D (D) D

Sotuilon

~m-= i rnA/V

N 1'-10$ ,Cof"(l('(\on &x).J/a AmPlr'r 'eJl-

~ F-ffw- 0fV=>I dwlneJ ~?J! m~'or)

o:J7e n~~ .

_c

~ RD Vi> 8mV;

• RL.. )., t'L

, - RD dm V/ 1-2- --

RD -t RL -f _I S<:..

Vi> - 11- ~ L ~

Vi> R.D ~L dmW ~~RI--+ 1.

Sc.. CoNt'fll(e;:/ - .- .

Website : www.GATECounsellor.com I E-mail: gueries@gatecounsellor·com


Ques. on Set: A [35] B [41] C [2.=1-] D [3g] Ans: (A).,0(B) 0 (C) 0 (D) 0

Tron~fey 14.f1coon J ~ (~) _

V)'

- RD RL ~m

Ro-lR. ~ f 1.

LoweY"

pole.

L-owey

- Sc. ~R~J~

H .$C LRJ) of Rt,)

n,s l' -Me .prm as l-tbS

Sc..

cut off f~~Clen(f cJ~ em £0 ccJ7'on 1 l DffeY Which "(]n/Jude ~ ~~) .

(c.J -off (ceyC<-ell3 ,cv" = r

c. C R-o fR-t-)

to - J -2-TT C Clcf) rRJ

10 - I -2.rr Xlo-(, ;<.. 2.0003

~ f. CJ"l- HL .A- 8 K2.....

go ~ 8 H?--j 1 Dfh'on A ] Website: www.GATECounsellor.com I E-mail: gueries@gatecounseilo(.com


Ques. on Set: A [31] B [45] C (2 .. 15] D [33] Ans: (A) D (B) cree) D (D) D

Grive.n :- VI!; ::: 2 V

I(N;:: An Co~ ~/ L) ;: 'to ~A/V2..

'fhy€~h~QJ \b(~e VTN;:: i V .

To !=,,'nd:- .£'rnatl -58/")01 Re~l!;fflflCe (z: cJ%/diD)

So ( uf>o Y) :

10 fird ~~ Nf''fDS ,~ tn Whk}., oeo foh

1 O/Xff7oJr'on- I +f-a.n wn'f~ +he '71do17oh

beJween ~ Clf1..d LIt!> ,ClJI.C>I .jVtan f'nd

cLV(b d-rto .

tha-efor( NMos ,

Ip..iuhoJ1o n 'D()ron. c.J CA'J

~= ,Lt n ~( I.!:} /L) CVG,S-Vt)L 2..

Vo.s ;:: VI];,

SED ::. An ~(, CWly (. VB -Vt)L '2. Confln~ '_.



Ques. on Set: A [.3Lt ] B [lt5] C [2.g] D [3~] Ans: (A) 0 (8) 0" (C) 0 (D) 0

d. fD \

PI) lor (W/L) ~ L V(J -Ilt ) -- -d. \'rb 2.

d V f};; - i otto -

An {o~ (/"j IL) LV~-V,.)

PC»'"'O -Me. \~.

cl Vr:; i --d.-To LroXIO&"/. (2.- r)

- lOb -Lto

d Vt}, ~ 2..5" X'IO~ -d-'P.()

$(010- 11 sgrd mI'e;. /MIce Q5 K..R· -



Ques. on Set: A [33] B [~~] C [2g] 0 [40] Ans: (A) 0 (8) B (C) 0 (D) 0

-

50lubioVl :

/.J~~ Shp 1t.SponSe is dt.flo~t.d bj SU)

%t.p it.SPOfiSt. 5l~) o.Y1d impulSt. 'I't.SpoY15e. h(~) 0.)'1. tdD.hd 115

~

5 t~ l: f hlr) H' -1 (I)

-00

tJ5i1l5 ~i~t.v) h (~) : 0 U - I) + g (~ -3) i>'l (I)

I: NoW S It) : J [&(1-1) + g (7'-3)J JT

-DO

t ~

: f &(1'_1) d1' + f &(1-3) J'I -00 -/)0

- U(t-I) + u.(!:-3) -

~olJ 5~e.p tt.S pot! st. a.~ /; : ;l. 15 5[t ) o..t I:: ~ =9 SO.) " U (2 -I) + 1.((2.·3)

U.lt) : u(~ )

g (2. ) uti).. U(-I) I bo

it :: 0 ~<o

:: 1 Y. 1::0 : I of- 0 1- 0 ~I:

50 I:ht, v/llu,e IJ~ 5~l.p 'I(,Spo fiSt a.I: /;:2. is 1



Ques. on Set: A [3 :2-] B [Lt3 ] c [3D] D [4i] Ans: (A) D (8) D (C) D (D) D

c:; iYeV\:-

fl;"~ (b1~ ~ .f...U-c!>o\ :=- '11 , ~e.sI'.~~I'\CQ.. R, ~ncoV\.d _L-- ~ 1<- / (e.s'~l'\~ 1..2......

To nnd : - EHec..tive ~ ,fqc..~ wh~Y'I ca.U CV\e.

G:>nne,.c..-\ec\ in .s.~ies .

$0 f

WL - Po-

'11 ":=. ~I L 9. ~ ( :tOo\ of co I'J L 1 ) 1-,

9.2.::' coL1- ( <tfqc..-h>1 of 0'\') k) RL.

Let -:. L I -t L2....

e.. -H e<:. +-i \k... ( es i S+-'l'\ tR..

Rq ":: ~ I T f1...L



Ques. on Set: A [31.] B [L...\3,] C [3D] D [4.t] Ans: (A) 0 (B) 0 (C) 0 (D) 0

L~-r e..H ttJi \.A€.. ca ~ ~ c.. to.l\ i ~ ~

--t-\.u Y\ i:\- Co. Y\ e.JYI i~ ~V\ '-1.5. \ \'\~ , '-\ ''M\''I~ \'rt\f'er,c'<l'\~ Cl.Y\c\ -".(.S,'.D;<\V\CJ(. oj-

e'Lt....\\Ja..2...t.~ C!"" c.~~

1~ CO Cli t Lz .. -J I<.,-\: !L

Not..) t...J e.... s ...... b~ '\l--Q. \)a. \1....l.Q. (!) j- L , g L 1..... i '" to. 'IY\.S

oJ'Ll &. 'lL..

[ \-\~ tVe... Ca,n al,\~o s.'{~sm""""k ::tN... vc0..<-u of

(., &. (L.. b~ i Y'\ ~ i\Aen Cl r 1io\"\ , O;qu I u..t

ct is. i'r\. -teJ\~ of ~,~f..z.... So ""'S."\b~h~

L, & LL h.~ ~\ 'bRLJ

'l::: 0 \:'~ + 'l~kJ 1t,1-fL

<t-::.. (3., f 11 'L~ /t!:J..1- r...0

Website: www.GATECounsellor .. com I E-mail: gueries@gatecounsello[.com


Ques. on Set: A [Si] B [42.}C [3.1. ] D [41-] Ans: (A) 0 (8) 0 (C) gi'D) 0

A /kf't fA ",h'o",-- -4 <A C -I-rJ... -= {I- 8'

CrA) .

I r--- /11 {;V\.cL I}- VI-IX I ~ 10 0 V j V'1LI/VWX f

III ~oy

It-- V '11: I- -:c 100" ) V'rl~').../ Vy~,---

<'"L0pic- '_ Trro..l\s{o-rmsn..... CiY~'i-5 IYI- r1t~K...... ~"'M F~~ '. - V

L NI-. c.. 1\fb·1 -tuYYl5 IV) <;'...<:J;)ndw:J CQ ,f)

VI -:::. -;:;-: ~ 1 'fiJ.-m5 in..- prim::; Gv2J 50/'1 r~ __ . 1 ~I-- [ ... Soc

V"'XI -=: 1 0 Q V

-;:::: ~ v"'i\' ( ~ {.2,5)\/OU = /25 V.

"'I

c V '1' 21 Y 0( -::::.



Ques. on Set: A [ 30 ] B [41 ] C [32. ] D [ 43] Ans: (A) 0 (8) 0' (C) 0 CD) 0

CPvt-n ,I

,vn.J )

IOo~ .IL-

,j..,L.-------, 1 J..--4r---,fKJuL:::'I~ \'ll!

Vt. ::5V

lIP>

r;. (:- I'V\ c1

,> I?.L-. =- ?



Ques. on Set: A [30] B [ ~t ] C [3.2] D [43] Ans: (A) 0 (8) 0'(C) 0 (D) 0

S i Y\ Q we c.. .5 ~cL..-fu f'l\ tJ ~ ')'ni rt.i J'\'\.U Y'<\. f ~ ~r ""rtJ-,.';!( 1 ~~ 'fl"Y'U. y- cl ,. ~ ~ G.rvu~ 'l'V\M.8 r- ~ m ... (\.('~IY\ -rh~ ZIf. V\ nL "y- c1' Q chL- l . CL. 'YY1 V0 (lY'o{.( I't'L .ff.. ~ ~ ( 0 '" cL -

--rkj hr;rrQ'f)~ ~n-- 4 ~ IS. h~ /uW KrtJIL ,~v-J.-Cr~';i~J,.j S<:J) wL C"'Y\..- ~/.d-- -'51) MW

IlL- ~ G-hH"".... clJ5 CJ.;. S5/D'i) (r'V(1l- e.."LVv"rL (J) 5'l.-

)'GIl rnvf-= - T ? A.L- . )rJ1J

f~L- ~ ~o-~':V 'rr\W-

P- <J..... 5'l V'ryvl .

60, +h0 {5 ~ ~yJ'M'-l""-- fO ~'" rrv...+i~ 1- ~"H''IIZ..r'' cL<-QdQ ,

.)0 , UfHoYl-- ® 12." o..l\c:L- '2..5iJ .


GATE Paper: fC I GATE 2013 Solution

Ques. on Set: A [28] B [46)] C [33] D [44] Ans: (A) 0 (8) 0 (C) B (D) 0

0. de ¥"lO~o( <l.S w(s) _ 10

R [&) ,t I

v().t~)

~) 1 K .. j 10 , -1+ 105

IOpi C: P C01\bo Ikt wlHt tJYlI~~ ~ed

too(V1)ul a. :

IS ctS) ---R CS)

LV [5)

R LS)

Fot

~

~i1'H odt)' !>~ shy/)

K Co Yl'\ f a.ti 'Il~ -

I t5't'

::

1+ Ka. (~ ) 1+1 0 5

K(). 10

ItloS+Ko.ID

-Va. is) t-t loS

W(5) ~

b Cl. eK

~ 10 of 1-t'lll'lb ~tt ~ u Yl (, J.,' /JYl

'" l th tJ [s) 10

~

vo.tS) I + loS

10 Ktl.

C ce<fl~ : "'utcl)

----------------------~----------------------Website: www.GATECounsellor.com E-mail: [email protected]

GATE Paper: fC I GATE 2013 Solution

Ques. on Set: A [2..9) B (40) C (33) D (41) Ans: (A) 0 (8) 0 (C) B (D) 0

IOI~o.+1

wts) toKo.

-R tS)

101<0. +,

-+( 10 ) 5 ';;:+1

50 10 ~ -

10 Ko. tl

TV) ~ ttt.& h 011 8i\l!,., (l,ak fiWlt. CO>'l5to.>'\l or cl 0 S !,J /00 r g~ te.Yi')

is I k; rl1d oP Ii Y"f) t. Co fI Hal'\.C 0 P op!," loop b'f~t"'1 -100

So ~ ~ ( r.J ~ 7'Oft>ttdOf) -;: I (.loHJ I06f ~

100 10Ko.tl 100

10Ko.+l::: 100

101<0. :: q~

Ko.::~·~ '::!..Io

I Ko. :: I 0 J ~pp (oi;Y"lah vdlu.e.



Ques. on Set: A [2..1S] B [~~ ] c [.34 ] D [4S1 Ans: (A) 0 (8) 0 (Cm(D) 0

j'112. 5)2

~-t -yu~

+ \0\1\...1. J 71.. .

~ lwt1 C1().

~ roo( v~ Op€N1 L+ ~ n. jlf.J1.

:) -..I-

ho,. ' -t-I.-n. _ 1 -:::.. o · "* 0 r""" \ 'd' I ""''- 1..

, C. i -rt.u..i -t b (" c... 0 WI e. . •• ~"L..[-)

~ 0 p~ ~,'~ 1-~¥h-\")'

R..L~foJZ.



Ques. on Set: A [2$ ) B [3!1) c [ 34) D [451 Ans: (A) 0 (8) 0 (C),..E:((D) 0

• Ys . - 1., -:::

• v •

\/ ~ J-Lr X Vs VI...:t -

\00>< j Lr 0>< Ys_

~ -tLr,:f .

-;. Ltoj Ys '

~-+~.

~ Lto L..JJ" 5L53'1~

CON c..LU~ ~ON 9

DON7 Loosf

t=fW {)UESIl:ON SEEMS 7ouc,lj BUT

fATI2NC ... E --rJ-1EY ;jOs1 S£€HS "TO 8e .. /


\ 2..)


Ques. on Set: A [0 ] B [ 39 ] C [~] D [Ltb ] Ans: (A) D (8) Bcc) O '(D) D

~'x

G: 'Y1klM

~-eJ (.I-m +-A 0) =- t91.~ ( 1n+ SA)

., • I<. )( k, ... ,<.. .

2.. \ , I

I 2.. 1 I

J 2... I

1 I , 2..

P)i?(M I i. f..,g, ~ ~ i ~ ~-t I.V'<. £-W' IJ )n~

1"YV\Q.LtN. K M JM,te ~ q; 1'Wl..AMM 0.( A 13

2, %eM

:2.. \ J 1 , o b D I 1 I

2... J I Q)I Q Q , 1 I - + , I \ 1 2.. I 001 a {

J 1 , 2- () 00 I I \ l I CD

~t-el,

Website : www.GATECounsello r. com E-mail: gueries@gatecounsell0f-com


Ques. on Set: A [2.1-] B [39 ] C [~] 0 [4 b ] Ans: (A) 0 (8) B(C) 0 (D) 0

~+ef.

2- I 1 /

2- I I

IlL J

I 1 \

I I

/ I I I I I

1 \ 1 2.

A =

Ill- +

13=[lllIJ f,.-'<2f-

12-11 -T ~A (3 [

'2--IIIJ 1 1 L-/ - If- 4XI I.\'4-

/ 1 12..

--Q)

(f1ve<A ~ ~ (!..",+IIBl = Q,leJ--(In -+ 8A)

e L -t A B ) =- c%e.t ( l, + [1 I lIJ[:] ) .... 41< 1 1.1(4 I

--~~----~~--~---.---------------------~~' Website: www.GATECounsellor.com I E-mail: [email protected]


Ques. on Set: A [2..1] B [ '38 ] C[ 3S"] 0 [4 b ] Ans: (A) 0 (8) me) 0 (D) 0

~. e1.et C i + t.t-)

t '.' ~eh9JMoJ~ ~ ~ cEt~ .», .j;t~_/T ~ },

/\.


:3


Ques. on Set: A [ 26] B [ :> 1-] C [3b] D [ 4~] Ans: (A) D (B) 0 (C) D (D) D

u g V be.. t-V-fO .lVldepe<-1df?A_l:: g "c1~hH'(S})~

oishi bu.+e..d "/(C/Vld oVVl YO ll'q b Ie.

U !..- V Ct~e :T.:1.. 0 \ ___ ---<::--. _7_- Molofio Y1 +0 ; de.J1 HCQ. t

f'rObob1r..;t; den5r'~ Junc..h'o., . ,

V o,'t' IQ V\t C?

SIJV\ ~ JQ~s.s 101/1 c:iJ:sfl1'~hCM

1.--- -rq V) JoV'Vt vom'q Y" Ie.. .

Website: www.GATECounsellor.com E-mail: queries@gatecounsello[.com


Ques. on Set: A [2h ] B [3+ ] C[36 ] D [4 .+-] Ans: (A) 0 (8).0' (C) 0 (D) 0

v- 0 -X :: 6·

y: u- 0 -/i .

::: i .

X 1\/ )V (rJ,.1) .

It rtoyyVtcdJ:,ed cL~ ~~-f,Qy,lc.~ss/a1

Y N )'f (0, i)

{1 Y1 r:%WIQ Use.d Ut qt-t5S iCLr! d.;sk., b((-}ed .

You.. Uo( VI s e..e. c.. te...o 6" Id. ho LH *'C) ~cC(W/e. No"'f\{'V'. Q Dsu/

C£'s ~ ~ f i OY\ ' / Os W~ K 11\011-# -fhQ t l\h "'IYVlQ (;'seJi dis 10; b...I'h 'ovJ

2- ' f I

hClS z:.~ 150 - Y'\'1.eO Y\ VQo() Qlllee .. 1- • .

£ Dyll ::: E [ I U I J ~.L El/ uO =: o· ~ Ii 2.- l-

E[ J YJj - t [ ) U I 2.1 ;- ~ [[Iutj; '-rx.-L =- 1 - ~ - ' X '1


1-- co",l-


Ques. on Set: A [ 26 ] B [.n ] C[ 3 6] D [ 4 -=R Ans: (A) D (8) me) D (D) D

() lAu Hem r;e...duc e bo ·

P LX ZY)'

~ . P(X-Y20)

As t.dr Z- =- X - Y / i. t- I~ .J~s ~ rJ.V1e..o. -r (O't'YI b IVlC( t-i(JYI 06

oOVldoVY\ va nQ ble.. V{~,' c.YI ~ ~&~ ~OL(SSr'aV1 ci./sfitbL(-h'WI w;fl.,

vI'l.e..QvI. - 0 &... V Q-(I,' a V\(e. - i...,

-IINOte:-B~ -~ ()

U~,.~ ce..n fro t L)m. t- t- ---fhU"fYYI "l / \10 t-e. "e7€. £\[jz B-~ 'Ii.L.~~ [t CJ z..iJ ~ 0 ~ as mePl1

bee 0 V'Y1 ~ ~ n' -t- ; VYI <Vi> ~ 'ltCw....[ ./-" () .

~qlA<:loW\ 'I(<A~' q 'ole. '/ so ' drJtl'l-~ U)II t bt.~ Jz.(2.)



Ques. on Set: A [2.b ] B [3r] C [3h] D [t,::r] Ans: (A) D (B).0(C) D (D) D

PC z ~o) . I~t- IS.

e..1- L{ a. l + 0 0 ,5 ·

[P Cz- "2 0) ~ 0-3} I peN 2: LV) 0 J{j

PC3Y Z-ZO)

P(3 V~ ~\) ~O)

Z -:::. 3 Y - 2 U ~ E LI' V\~O'" c.o VV\ 'bi I'\C< f-t'OYl ~,

1::>( 0 b k>o -th 1(' Q v'\ d. <1'M \/t)"6) 'a '0 l ~ ~Ct.S

@Col~ Cr5]



Ques. on Set: A [2,b ] B [Y7-] C[3(,] D [4=!-] Ans: (A) D (8) 0'(C) D (D) D

I' Co~~ :lorv:- Note -thl~ -tc1 pt ltAe.s+1olIt QYlL .l'Y/os fto . bo S~ d 0 ~ q,.- Jt.. V"I c. • So jv.s> f dol f. w ifh i.. lP'Y\~ bo -fi"e.

COVl.le.P+ ~ 1N\eJl!V\ g VQ~\C!"Ic..e· ,he..se.. ~pe e6 CV4e.mc,Y! Yhosff(j

,,( , c..OVYVL tVl () Q ~

laJ. -G. ~6t'el;" .,., J :' ,.; L t L ( d ~~. ~



Ques. on Set: A [51 J B [Y'\J C [§OJ D [4gJ Ans: (A) 0 (8) 0 (C) freD) 0

To IT' I"-cl: - ~ fr1.J-w IJ j h I JL f"\-U) I j 'h9-"L

\n ~p!S>.

f Yu:> VY'- f,lLPJl i 0 \..U::;> ~ V{J.) b 0 h ~ e\-o l.A..A.h- 0 It\..-

~ ~VcSh..... \Jl- )'WJl,)~ I~

10 A-rn p;5 I CoYl vLuhi Or) : -

D pb tl h lc') ) S

Sc.e.- ~ ~VY)L ·of ~ V~ ~ ~ prV/IDM ~v.Mti"'l

~ ~5f)) U W1«tOl)



Ques. on Set: A [SO ] B [ ljg ] C [ .~1. ] D [ 43 ] Ans: (A) 0 (8) 0 (C) 0 (D) 16'

(18 ~g) CTiYi.J1., ' - CbmmOr) D~ c8v~t-ioVL....

loy r J2.-

To Finc..l :-

":L ~ 'n A-mp.s in..- ~ VOlf-oje. !So lAllLe Q"l cL V S I h Yo I t.5 ex: u-w s s 'ftu c.w-v-uro So lJJl. t -e.

5Jl.. 'L.s

10 V T

2... A "5 -V'vt c-o n Vs.e KVL ""cu\ c1..

t l\ cL Vi:, CI Y) d. I.$

C-C\. Y'\ A-e. e. .:> '/ 0 LhAJ~

Ifwu~ Ctfp2ria-- KVL

fe>or>

L JL I JL.

KCL. ed- no c.1...t ,A --t'D ?L ~ s pe.J,~ ,

~' 0..0 'yYV wf...-

'LO c.U.. ~..J V 1\ = I 0 V .

. Le(;t Ila V1 cJ. S l vCt-



Ques. on Set: A [5'0] B [4 ~] c [st.] 0 [4!J] Ans: (A) 0 (B) 0 (C) 0 (D),JLY

C~\O U)rl1:;inve cI...-

Vs - 5" X 2.. - Vft

V5 - 10 - to

I Vs 20 V)

A \ s ();) £ (j 0 h rY) ~ .!:> ,1CA.M.J.? ~ 'I+v-w \J:t VL JL /I e..s i '7 ~ h le l S.>

:L'JL = V", _ 10 A-IYlP~ . I

~ ~l/c9k

I'l-SL = Vft l...

KCL cct-

- 1,3

o pt-i 0 YL C j) )

nooU ~/

10 -t- 5


GATE Paper: I GATE 20 S .

F Yom --H-.e... A b OV'e.. .. <Q t>e.dioY)

J\ <- opf; ",v", -+,<<&OD I ~ ,-" -I<L Tn tei~edi"" oJ-""'

PAJ oj--..ft....~ Re.c.ei~ ~·'jr1Jl,L~ .

~~/ -fh..e.. .:rn~~YS~O~ .is (J5 /~ )

. '. -jl.e.. ophmvtrJ -+{'leShoI4 ;:- ts

Wtt'> ~ Op1iMV", -fi¥dhD Id ,~BEl( ,-,

g't-R.-;.. p(TeaA~L '\ P(o) T rC(LC.e-i~'b ) P(I) '1r~~o) -rY"I')f,,.,,,tt~1

c:. (.1 xl.- :xh "\ J I 4 J J I ~ 5 SJ7- -t l±x-g)('5 '2:.

~ J- Ih+.J-) t l:::z..5 ;;z...5

- , ~ -

S-c \t.fi ~.r) LX~ ~

6 p-h IVJVrI) -f-!.-Y<-~ho I~ .

Website ' ww GA . w. TECounsellor.com IE' -mall: _9u=e..-.-ri..-..es~@~geJat~ec~~lg~£i!!! ounsello,.com

. 8[50[C[43]D[5' n ~,VO) : JJ An" (AI D (Bl D

I ?Ai 1- r~ceiveL .$ijl).J :ivr b,t!>

0'5 FtiJ oj. yeGe.j~ ; 1- >;jll .. 1 -Jot' b; I:: ,

.

JO Fi Yl~: 13; r E-"'"Y R. CL oj- -Ik D; 3; ~.) Co~~ un; c""",, 57' tvo) .

Det."d1Dt) Tl, Y'~ ~D)el 'i> ' .... [3.v,", 0-" "'''''' ""'- TVAO,,,,;r 0 .,.. R,,,j,"'J .......

C::)ilHU) ~ -t-ke... ~'I'dho'.{, l!

~ Y'7D c.-k.r)~ ~ ~~

one.· 6: t () ;J,. lo~b .

~1.j1)~ JoY' ~r D

-tke. Pd. f 04- 'Yu:~vvt 'p 'l1ot cY0,( ,iV\:J ~€..- --I'hye.cno

1tL 'I'.

-1<.< pM 9- y.-.0ve<i- ~ijo·1 .}or /ir 1 0'<0«;".1

-rI-,,>hD Id. • I', ,0 .fl,eYL i< "- 0'd'C joT V l- I . , \\ l'

1\<- pyob. b; \ J'1 01- erro y .fv< b. t- , ,,-Jk AY<A-

af . -r4- fl!j- af -Ii<- V< cciV<.-< ~'j "" I ~ (yO<';>Ij

-tW.-- optirovm cle-revCiol') poi>')t- I ·

Website' W . wW.GATECounsellor.com I E· .. mali. ~g u=e!,!;rie ~s~@~gE!at£fQ~ilii££;m ecounsello[.com


Ques. on Set: A [4g] B [50] C[ 4~] D [.5"1] Ans: (A) D (8) D (C) D (D) [;}"

- ) - ---

}

/~

B'

Website : www.GATECounsellor.com I E-mail: [email protected]


Ques. on Set: A [.5'2] B [ 54] C [5'~ ] D [ ~2.] Ans: (A) 0 (8) 0 (C) 0' (D) 0

Gt;,,~'YI :- b.t~c--bfic... flUo\ V~ctO"'6 01> CL """O'Yl"~"Yo..,..,.,Ct-t!C- pt()."')e- .<-Do...-Ye.-.

~~ ~.\,

k.. HI'::- l. Cl __ ~+'::-;--~?l

f ... ·L::.'\·:{

--(Or \ c... '. - f' lox> e. cOa..-"fe. P-ro!,,"'2 o..~CYJ [a I e-(. i--r Cl ""' ''<3....,e.:c i c.'~J

'10 b1ncl. -the -/t"f'\~Le.. /)tr- ~'Ilt-l:cle..nLL v6e, .s-,.t~1\":::' letU),

~ £,ff1&i ~ .(0; ... 8~-(l,\--

1ri(~yL --(12-.

5>~ $~n&~ ==- ~ 8;""t'1';

"''>I. :: l1, l)S~I"l&" )

;::: 1(0

S''2.-

Ki

~ =- Ko cot.>et: - ,, 0 -~

['2-

cI lob ; -r~ t-(t cJoIv--<J2.. ~ lL..

V u.. t O-V) LO e -..<ud 1:;;' ~ nol

Website: www.GATECounsellor.com E-mail : gueries@gatecounsellor·com

GATE Paper: sc I GATE 2013 Solution

Ques. on Set: A [5"2.. ] B [ $'~] C [SLt ] D [S'"'2. ] Ans: (A) 0 (8) 0 (C) 0' (D) 0

-.i ( ~. U> I>f)i x +-'f 8;n(f, '" ) e • Tf~1 0Y

e J :3 fz... C"" + z, ) CD

C/)""f0"",en-t~ C0V7M;t<.(t~n9 --th e a. ....... ,.,,1;t"'olQ..

(\ /\ 'i'LO == f""A ~ 0.7. _ 131.> ~ ~

E' _ to (/' 1\) ~- - ~-o.. J'2-- -z.,

-J

e.

Website : www.GATECounsellor.com E-mail: gueries@gatecounsellor·com

GATE Paper: £C I GATE 2013 Solution

Ques. on Set: A [53] B [SS] C [~ D [53] Ans: (A) ~(B) 0 (C) 0 (D) 0 =

~r"e.-"Yt: f. \e.c-hic tsteAo\ ve..ct"o-r6 otJ a 'VYl()'"1'1ocb-(o"""'at,c plan ... Ul<M.l~ < ~, ~

.?:>o\u:ttOn: _

7.J

f, =:.- 60 ~ /.L "r»

~ "" ~ "" IT' X , d ""0.""' '''1 J\ l3

p)/l-Y>e waA<! P-(oP"'8o+iOf) C £ l~h"oW\'j7le-tfc~)

He.ye

, t-I = 60' 6 I. r , 2..:=..." ~ "'"0 .

Lo...u:> M 'trOll 0 u!~.

o o-n A,o hh+'!i:u b' ~j -T-h e 'Yo.' u-~ we. ~et 19': ~ 4l1'

\he -; e.l5\ed ion coe.bbic.: ent tt:.) _1 •

r =- fl1.S Co"" 1~. L - T, c.o;'4 S"

~ COt'> \q. 2.- +-~\ Col:.4r Ii'!':) J \

- o· 2.-3.


GATE Paper: E-C I GATE 2013 Solution

Ques. on Set: A [ >3] B [ 5~1 c [SS] D [ 53] Ans: (A) 0"(8) D (C) D (D) D

'-0 bird, -the ;'\J~~e.c.trol

we. 'Y1 e..ed. TO ~~ tne.

c. o"Y"\ t.> ~ .."t', b-o--r Iv e..~ ~L tt:: cl

--rh e p "h aJ::e.- -te.. -( ....., t.D\ 1\ be)

-3 C ~"\L ox. -t-l\, C-1») e.

- j ( l-;: coM]; ""'- - ~ S,n f}-{ 7:,) - e..

be """"(tML'II," nzJ F-(

-1.J

~~ElJO

_"", 10">\0

---(0

M)

~ == 0.2.3 Go /" () +-Q ) J1.- L v. 2.>

Website: www.GATECounsello r.com E-mail : [email protected]


Ques. on Set: A ls4] B [S2-] C[ S)"] D [.$"4] Ans: (A~B) 0 (C) 0 (D) 0

rQ:l'\ ~ S ~ \J ~i .... 'oUt -f..,,,)Y\ (w ~ h.c. ~

+0 .,. -Ii ~ Y\'-'~ '00\ 0 t (N-e-~c4 U ls )

in ~ :)A~ ~",- .

q SS\5h o*.(>~ 0& ~ \N-~"Y'~ w\~

~ \}aM.t""~ &. ~I'\"~ ~ ~ i~~~

(u~ cleJ\\'J~\.J..<.. ~ ~ \)~<>..~.

~ S,\\'r\.UW\.0.1 W~ c.~Y\ ~U:l. '"IN... ~.v..t...h'oV\

bd;-U.HJ~·(\ c~ ~Y\d-. ~~~ vC\JV\\"\'\.L<...q~c\

iYw~ '-'..s..\Y\.~ ~ ~\o(..) ~~~V\..



Ques. on Set: A [S"tt] B [5<-] C [.n-] D [5"4] Ans: (A~B) 0 (C) 0 (D) 0

• • -1. ><., i. -:1 lh 1-

~

U. 0 .. :;;: J • ~ . ) .. o 'y

XI 4ft

U.s U.s

• ~, -:::.. - .)(. \ - u.. -CD

• ~om ~"CD pL..\- uo.} .. I '6 x"

• ')\.1- --

--(0



Ques. on Set: A [~] B ['52..] C [S2..] D [54] Ans: CA) ffis) 0 CC) 0 CD) 0

[X; -::.. ",. -"2,. -

- ~I ~YXl-)--t <c y) l ')t\ 4' C I~ '}\~) -t ~



Ques. on Set: A [~] B [.s~] C [53 ] D [SSJ Ans: (A) ~(B) 0 (C) 0 (D) 0

So 0 \ ''-'-h'o h: _

F\~ f-\ ol l 1 -I J

Sf' °l-l-\ °l Lo,J ,-I

o



Ques. on Set: A [5"S] B [~ ] c [.>.:3] D [§'S1 Ans: (A) J:a' (B) 0 (C) 0 (D) 0

o

c' ~--\\) 0

~~-\l\LI C\(1j~l)


GATE2013Solution EC Set D

Documents

Transcript of GATE2013Solution EC Set D