Old Exam Papers June 2012 (Set 2)

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A M.A./M.Sc.-MT-01 M.A./M.Sc. (Previous) EXAMINATION, <strong>June</strong>, <strong>2012</strong> MATHEMATICS Paper-MT-01 (Advanced Algebra) Time allowed : Three hours Maximum marks : 80 Attempt any five questions. Each question carries equal marks. 1. (a) Let H and K be subgroups of a group G. If HK is the internal direct product of H and K, then prove that HK K H . (b) Define conjugate class of an element a in a group G and prove that any two conjugate classes of G are either identical or disjoint. 2. (a) Let G be a group and H be a subgroup of G, then PTO
prove that G' H if and only if H is a normal subgroup of G and G H derived subgroup of G. is abelian. G' denoted (b) Prove that an infinite abelian group does not have a composition series. 3. (a) Let a and b be two non-zero elements of a Euclidean ring R such that b is not a unit in R, then b g bg prove that d a, b d a . (b) Let M and M' be two R-modules. If f : M M' is an R-module homomorphism, then prove that f is a monomorphism if and only if kernel fbgl 0 q. 4. (a) Let R be the field of real numbers, then show that the map 2 3 t: R R defined by t ba , bgb a b, a b, bg ba , bg R 2 is a linear transformation. (b) Let V be a finite dimensional vector space over a field F, then prove that for each non-zero vector v V , there exists a linear functional f V * such that f vbg 0 . 800 2 MA/M.Sc.-MT-01 n 2 2 v v, ui i1 10. (a) If W is any subspace of a finite dimensional inner c h product space V, then prove that W W where W denotes orthogonal complement of W. (b) Let V and V' be inner product spaces. Then prove that a linear transformation t: V V' is orthogonal if and only if : t bg u u u V MA/M.Sc.-MT-01 5 800
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(ii) lks'ky usVofdZax lkbV~l (iii)
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Le`fr dk 'kSf{kd egÙo D;k gS \ 7 6
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fuEufyf[kr esa ls fdUgha nks ij laf
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A MAHD-03 ,e- ,- ¼iwokZ)Z½ ijh{kk
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A B.Ed.-02 B.Ed. EXAMINATION, June,
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iz.kkyh mikxe dh fo'ks"krkvksa ij f
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iz'ukoyh i)fr dks ifjHkkf"kr dhft;s
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8. Why conservation of forest is ne
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10. Explain why : (i) The melting p
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A PCO B.C.P. EXAMINATION, June, 201
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A ISS B.A.P. EXAMINATION, June, 201
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4. Give a summary of Hazlitt's essa
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2. Describe in detail the main prin
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5. vfHkizsj.k dks ifjHkkf"kr djrs g
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companies accounts as per Section 2
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3. Explain about the mechanism of L
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2. Explain any two techniques of th
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Plant and machineries 3,00,000 Land
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fofu;ksx 2,00,000 QuhZpj ,oa fQDplZ
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ys[k vkSj Qhpj esa vUrj Li"V dhft;s
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vk/kqfud iqLrdky; O;oLFkk esa îkBd
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mnkjhdj.k ds nkSj esa eqfnzr ek/;e
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ckaXykns'k esa izsl dh Lora=rk vkaf
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2. (i) Calculate Economic Order Qua
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A BC-02 B.Com. (Part I) EXAMINATION
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August 89 September 92 October 102
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mijksä leadksa ls (i) Hkkfjr lewgh
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xq#Roh; {ks= o xq#Roh; foHko dks le
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5. Comment on the uniqueness of Hop
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l dFku dh foospuk dhft;s rFkk mu if
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lhekUr mi;ksfxrk vkSj dqy mi;ksfxrk
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vd'ks#dh tUrqvksa ds oxhZdj.k dk o.
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^^vkUrfjd fujh{k.k** ls vki D;k le>
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1. Discuss various steps of modern
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iqfu lklqj ge xouc dkyhA fdr ge] fd
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iz'ukoyh o vuqlwph esa vUrj crkb;sA
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20-30 23 30-40 22 40-50 25 50-60 10
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9. Define classified and dictionary
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fuEufyf[kr ij laf{kIr fVIif.k;k¡ f
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fuEu ;kSfxdksa ds IUPAC uke fyf[k;s
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gj"kr vuUn eu efg gqykl] yS tq egy
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fuEu L.P.P. dks xzkQ fof/k ls gy dh
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11. Evaluate : eku Kkr dhft;s % 1 2
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fuEufyf[kr f}?kkr lehdj.k dks gy dh
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4. Does learning, knowledge and exp
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4. In what ways is 'Emma' a realist
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A MS-41 M.B.A. EXAMINATION, June, 2
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A BC-06 B.Com. (First Year) EXAMINA
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10. Write short notes on the follow
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A BC-15 B.Com. (Third Year) EXAMINA
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10. What is report writing ? Explai
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^míhiu ifjorZu dkS'ky* ls vki D;k
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8. Write a note on Lenin's New Econ
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A QEG B.A./B.Com./B.Sc./B.C.A. EXAM
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call________he left for his office.
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(ii) Mr. Verma has decided_____a ca
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ns[krs gSa] ogha iM+s jgrs gSaA che
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vFkok nq%[k dh fiNyh jtuh chp fodlr
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vkidks mi;ksxh cukrh gS] tks vkidks
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3. eSyk vk¡py ds vk/kkj ij js.kq d
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A MAHD-02 M.A. (Previous) EXAMINATI
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NksVs&NksVs eksrh tSls mlds 'khry r
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tanb ig ds okLrfod ,oa dkYifud Hkk
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6. Solve the following : (i) z0 1 1
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nf{k.k&iwoZ ,f'k;kbZ ns'kksa dh vkf
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vFkok ,p-vkbZ-oh-@,M~l ds bfrgkl ij
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8. Explain the constitutional devel
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4. e# fodkl dk;ZØe jktLFkku ds fdu
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8. izkphu jktLFkkuh x| fo/kkoka lwa
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fuEufyf[kr ij y?kq fVIif.k;k¡ fyf[
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(b) How will you obtain starting wi
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la;qfXer Mkbuksa esa cgqyhdj.k ij f
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5. What do you mean by product life
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3. Write various challenges to inte
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3. "It is never safe to take publis
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A MAPA-05 M.A. (Final) EXAMINATION,
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fuEufyf[kr leadksa ls izeki fopyu ,
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A BC-11 B.Com. (Second Year) EXAMIN
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A PA-02 B.A. (Part I) EXAMINATION,
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(iii) ysfol ,- dkstj (iv) vkj- ds-
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500-600 12 600-700 11 700-800 07 80
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A MAED-06 M.A. EXAMINATION, June, 2
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vUrjkZT;h; foLFkkfir deZdkj ¼fu;ks
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A CLAW-02 C.L.A.W. EXAMINATION, Jun
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A EEC-04 B.A./B.Com. EXAMINATION, J
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A CTB- 02 C.T.B. EXAMINATION, June,
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D;k gksrh gS] le>kb;sA Cell address
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1. Write down the main features of
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A EEC-03 B.A. EXAMINATION, June, 20
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IQ 1 1 2 3 4 5 Before training 110
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fuEu lehdj.k dks gy dhft;s % 2 x 4
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Or What is food energy ? How energy
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,f'k;k esa csgrj thou Lrj izkIr dju
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Or Describe the main features of th
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1. Describe the importance of Haldi
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4. (a) What are physical phenomenon
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(b) What is the difference between
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2. Differentiate between : (i) Abso
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3. (a) Write short notes on : (any
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(b) Give a brief account of the fin
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Or Describe the energy scenario in
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gsrq ty xzg.k ctV dSls tkjh gksrk g
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2. thou esa uSfrd ewY; O;fä ds O;f
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4. ifjokj] tkfr ,oa lewg LokLF; dks
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jktLFkku ds xkSjo fpÙkkSM+ nqxZ ij
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ysuk pkgrh Fkha] mlesa tks Fkk og H
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lkekU; ,dy dks ifjHkkf"kr dhft;sA f
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fo|ky; ikB~;Øe dksBkjh f'k{kk vk;k
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1. Discuss the industrial developme
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(b) How to install an external mode
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iqfyl ,oa tsy vfHkj{kk ds rgr efgyk
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2. State the various benefits provi
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2. Explain the importance of Distan
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Or Describe school health services
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1. Explain the importance of Metal
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,d vYi fodflr ns'k esa yksd foÙk u
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1. Define the scope of internationa
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1. Examine the success of Paris Pea
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1. Describe the meaning and importa
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1. What do you mean by Stock Exchan
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(iv) Acetone (v) Acetaldehyde fdl i
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(iv) ,sekbM (v) dhVksu 3. (a) Give
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fuEufyf[kr vfHkfØ;kvksa dh fØ;kfo
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(b) What are templates in MS-Word ?
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3. (a) What is B2B and C2C in E-com
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Or Discuss the advantages and disad
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3. Prepare a checklist for identifi
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4. ikfjHkkf"kd 'kCn ls D;k rkRi;Z g
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3. [kM+h cksyh ds fofHkUu :iksa dks
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5. vksfM+;k Hkfä lkfgR; ds izeq[k
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A EHD-03 B.A. EXAMINATION, June, 20
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A CFN-03 C.F.N. EXAMINATION, June,
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10. State the facts and principles
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3. xHkkZoLFkk ds funku (Diagnosis o
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1. Explain the recent trends and pr
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A BC-12 B.Com. (Second Year) EXAMIN
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special machines. Management does n
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10. How the pH of a solution is det
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(iv) vu'o% (v) ?ku';ke% (vi) f'kods
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¼[k½ ;kSoukjaHks p izk;% 'kkL=tyi
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(b) What is ergonomics in system de
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A PGDCA/CCNI/MSCS-05 P.G.D.C.A./M.S
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(c) Write synonyms of the given wor
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A PGDESD-05 P.G.D.E.S.D. EXAMINATIO
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A HD-05 B.A. (Third Year) EXAMINATI
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mlds O;fäRo dks jkxkfRedrkvksa dks
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vYi foØsrkf/kdkj esa dher o mRifÙ
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A CDE-03 C.D.E. EXAMINATION, June,
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A PGDLL-05 P.G.D.L.L. EXAMINATION,
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(ii) ukWlMkd (iii) Hkkjr eas vk;qfo
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Boys 16 36 20 72 Total 34 56 54 144
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(i) ,fFky ,flVsV (ii) ,flVsfYMgkbM
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3. LQksV fl)kUr dk ifjp; nsrs gq, /
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1. Discuss the concept of History a
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1. Discuss socio-political context
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vFkok fnu Hkj vdsyh jgdj nsj jkf= r
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A AFE-06 Certificate in HIV and Fam
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vFkok ,sfrgkfld :eku ds vk/kkj ij j
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January 3 Paid to Mohan 2,500 Janua
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(ii) jktLFkku esa >hysa (iii) jktLF
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QSDVªh ds ckjs esa vki D;k tkurs g
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A BT-01 B.Sc. (Part I) EXAMINATION,
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9. Give two examples of the followi
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(b) Write a note on Symbiosis. 5 lg
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fuEufyf[kr esa vUrj Li"V dhft;s % (
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(b) In her hands she hold the oil l
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uq rqjax cj otzA otz BsyS otzkluAA
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10. Write short notes on the follow
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A CH-05 B.Sc. (Part II) EXAMINATION
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fuEufyf[kr ij fVIif.k;k¡ fyf[k;s %
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1. Write a critical note on special
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1. Describe the literary sources fo
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fu"kspu D;k gS \ fu"kspu ds fofHkUu
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1. Discuss the major characteristic
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1. Discuss the traditional approach
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1. Determine the equilibrium level
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lpZ batu D;k gS \ buds izdkj o mi;k
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xk¡/kh ds fopkjksa ds lzksrksa dk
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fo'o dks"k dk vFkZ ,oa mi;ksfxrk cr
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1. Bargaining theory of wages is be
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1. Write in detail about drug abuse
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A CFE-02 C.F.E. EXAMINATION, June,
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(iii) 'had' in 'We'd finished' (iv)
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(i) Business started with cash 1,75
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A MCOM-07 M.Com. (Final) EXAMINATIO
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A BT-10 B.Sc. (Part III) EXAMINATIO
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(ii) MsyusV dh xfrfof/k;k¡ (iii) b
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A MAED-08 M.A. (Final) EXAMINATION,
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A COS-02 C.O.S. EXAMINATION, June,
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6. Describe any two : (i) Synovial
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1. Examine the Centre-State relatio
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1. Describe Balban's concept of kin
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{ks=h; vkS|ksfxd fodkl ds fØ;kUo;u
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i;kZoj.k dk laf{kIr ifjp; fyf[k;s ,
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cUn rkys dh Hkk¡fr dj fn;k tk, ftl
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A HI-01 B.A. (First Year) EXAMINATI
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A DSPR-03 D.S.P.R. EXAMINATION, Jun
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(ii) Innovations in teaching learni
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A ESO-01 B.A. EXAMINATION, June, 20
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3. What do you mean by system appro
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izoklh Jfed dh D;k leL;k,¡ gSa \ b
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lalnh; jktuhfrd laLFkkvksa dh fo'ks
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lekpkj izs"k.k esa jsfM;ks dh izHkk
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(iv) 8"................. (v) 11"...
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Or Write notes on the following : (
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Scholar No. : Roll No. : Centre Sea
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(iv) Statistics of income tax .....
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Section-B [k.M-c (Decimal Classific
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(ii) The question paper is divided
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2. Classify any five titles of the
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5. If you have to teach a lesson 'K
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O;kolkf;d f'k{kk dk vFkZ ,oa {ks= c
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5. Discuss the role and importance
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4. Cost Accounting can usefully be
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2. "Teach grammar as and for genuin
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(b) Briefly explain 8085 program st
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A MEC/MAEC-09 M.A. (Final) EXAMINAT
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A MASO-08 M.A. (Final) EXAMINATION,
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(ii) Motivation (iii) POSDCORB (iv)
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10. Explain control system. What ar
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A MAPA-08 M.A. (Final) EXAMINATION,
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A MPS/MAPS-09 M.A. (Final) EXAMINAT
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5. Discuss the causes of the Santha
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A ECO-04 B.Com. EXAMINATION, June,
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3. Discuss the tasks and responsibi
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lksfM;e DyksjkbM dh fØLVy lajpuk d
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A DLIS-03 Diploma in Library and In
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Title 6 : NICHOLAS RUBAKIN AND PSYC
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5. Describe various types of senten
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5. Examine challenges of Tourism ma
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5. Write a short note on Planning o
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3. Explain the potential energy cur
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5. Discuss export procedure. 6. Exa
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2. Describe structure and functions
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3. Evaluate the cultural achievemen
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2. Derive classical wave equation a
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1. Define the term of Public Admini
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1. "Modern Political Science is the
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vjs rqe D;k ns'k dk m)kj djksxs ! i
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2. Classify any five of the followi
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Scholar No. : Roll No. : Centre Sea
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(v) Russian investment in India ...
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Section-B [k.M-c (Dewey Decimal Cla
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2. Classify any five of the followi
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7. Write a short note on 'Dandi Yat
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6. Explain the objects of Office Fo
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A MCOM-08 M.Com. (Final) EXAMINATIO
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Overhead 1,200 1,350 1,440 Input un
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8. From the following, find out : (
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Li'kkZuqdwyk bo lw;ZdkUrk] LrnU;rst
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vki eksVj dSls pyk ldsaxs \ t#j ,Dl
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dh
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6. Describe the nature of land-owne
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5. Describe the utility of language
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ek/;fed Lrj ij jlk;u foKku f'k{k.k
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Other information : Class No. : Xm4
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Pages : XI, 295 Size : 23 cm H.T.P.
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Other information : Call No. : Am3,
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Other information : Call No. : 153
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;fn V fdlh {ks= F ij lfn'k lef"V vk
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(i) W1 , W2 W W1 W2 W (ii) a, w F
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vFkok miU;kl jS rÙoka jS vk/kkj ek
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(iii) nf{k.kk (iv) czãk 7. /ofu if
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(iii) DokdZ ,Dlizsl (iv) CykWx (v)
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A MP-101 M.B.A. (First Semester) EX
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4. Explain the Growth curve with th
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5. Explain 'New Product'. Discuss t
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A MA/MSc-GE-01 M.A./M.Sc. (Previous
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A MAED-11 M.A. (Education) (Final)
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A MAED-12 M.A. (Final) EXAMINATION,
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10. Write short notes on any two of
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10. Discuss various geo-economic pr
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A MARJ-03 ,e- ,- ¼iwokZ)Z½ ijh{kk
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6. Describe powers of the Supreme C
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,dkf/kdkjkRed izfr;ksfxrk dk egÙo
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A B.Ed.-15 (New) B.Ed. EXAMINATION,
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4. Write a basic conceptual scheme
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1. Find out the median from the fol
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13 16 14 2 15 2 3. Calculate Karl P
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f'k{kk esa ^MkW- ch-,l- Cywe* us m
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fu;fer ikB;kstuk D;k gS \ ,d f'k{kd
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lizlax O;k[;k dhft;s % vFkok (i) fg
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{kh.k ;qXeu dh fLFkfr esa ;qfXer nk
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fl) dhft;s fd izR;sd vlhfer ifjc) l
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fl) dhft;s fd Qyu f bx , yg fb0 , 0
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A EHD-02 B.A. EXAMINATION, June, 20
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;g xhr Hkqokyh dh gS gok gqtwj ;g x
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,gok opu |ke.kka cksyb] fcgwa dfj i
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ckckslk jh HkksGko.k lwa iwaN idM+G
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vFkok ukukukekJ;ksRiUua fu?k.Vqfuxe
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vFkok twuS jktLFkkuh x| jk U;kjk&U;
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9. (a) Using Biot-Savart's law deri
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ykIykfl;u ladkjd ds dkrhZ;] csyuh;
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2. (a) Let R be a relation on set o
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fuEufyf[kr dks ifjHkkf"kr dhft;s %
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A MP-202 M.B.A. (II Semester) EXAMI
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Find out : (i) P.V. ratio (ii) Brea
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9. Write short notes on any two of
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A MASA-04 M.A. (Previous) EXAMINATI
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3. Hkkjrh;n'kZukfuA 4. jhfrjkRek dk
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ukxfjd 'kkL= f'k{k.k esa ikB~;Øe f
Page 623 and 624: A B.Ed.-22 (New) B.Ed. EXAMINATION,
Page 625 and 626: Part-B Hkkx-c Attempt any four ques
Page 627 and 628: [k.M&l bl [k.M ls dqy rhu iz'uksa d
Page 629 and 630: l [k.M esa nks y?kwÙkjkRed iz'u gS
Page 631 and 632: (b) Evaluate : 2 5 O eku Kkr dhft;
Page 633 and 634: x f (x) 120 49225 125 48316 130 472
Page 635 and 636: ckj ekaxlh] b.k [kkrj mRrj bZ dksuh
Page 637 and 638: 2. ôØksfDr dkO; thfore~* jh foLrk
Page 639 and 640: A MARJ-08 M.A. (Final) EXAMINATION,
Page 641 and 642: A MARJ-04 M.A. (Previous) EXAMINATI
Page 643 and 644: ¼[k½ jkefr;k er rksM+ ¼x½ tkxrh
Page 645 and 646: 2 3 v/kZ?ku ijoy; ay x ds 'kh"kZ l
Page 647 and 648: (b) Find the point of inflexion of
Page 649 and 650: act along OA, OB, OC and are in equ
Page 651 and 652: (b) The ends of an uniform chain sl
Page 653 and 654: A MP-203 M.B.A. (Second Semester) E
Page 655 and 656: A GE-08 B.A./B.Sc. (Third Year) EXA
Page 657 and 658: 9. Give Botanical name, family and
Page 659 and 660: A BO-10 B.Sc. (Part III) EXAMINATIO
Page 661 and 662: 7. Write notes on the following : (
Page 663 and 664: xk¡/khth }kjk izfrikfnr lR;kxzg ds
Page 665 and 666: 2. Describe briefly about Bentham a
Page 667 and 668: (ii) Factors affecting absorption o
Page 669 and 670: 2. Describe the molecular structure
Page 671 and 672: 2. Divide Asia into major soil regi
Page 673: 'kkfUr LFkkiuk dk vFkZ crkrs gq, 'k
Page 677 and 678: 10. Divide world into major resourc
Page 679 and 680: A ED-03 B.A. (Second Year) EXAMINAT
Page 681 and 682: A PH-10 B.Sc. (Part III) EXAMINATIO
Page 683 and 684: ,d ijek.kqd js[kh; Ükà[kyk ds fy,
Page 685 and 686: [k.M-II 2. [;kr lkfgR; jkS vjFk crk
Page 687 and 688: jksGlh [kGnGk¡ p[kS jkra cjhA dGk;
Page 689 and 690: Hkkjr esa lekpkj lfefr;ksa ds mn~Hk
Page 691 and 692: (b) Discuss distribution of energy
Page 693 and 694: (ii) 'kkfUr f'k{kk dk vkSfpR; (iii)
Page 695 and 696: (iii) 'kfä'kkyh dh vfgalk (iv) /kk
Page 697 and 698: fuEufyf[kr esa ls fdUgha nks ij 250
Page 699 and 700: A M.A./M.Sc.-MT-02 M.A./M.Sc. (Prev
Page 701 and 702: (b) Show that a second countable sp
Page 703 and 704: 2. (a) Solve : c h 2 2 2 y z x dx
Page 705 and 706: A M.A./M.Sc.-MT-04 M.A./M.Sc. (Prev
Page 707 and 708: 7. (a) Show that at a point on a su
Page 709 and 710: 3. An ellipse of axes a and b and a
Page 711 and 712: Then prove that N/M is a normed lin
Page 713 and 714: Mr. Ram to whom 160 shares were all
Page 715 and 716: Payments Rs. By salaries 15,120 By
Page 717 and 718: A MT-08 B.A./B.Sc. (Part III) EXAMI
Page 719 and 720: 10. (a) Prove that fuEu Qyu dk vuUr
Page 721 and 722: z = 0 and determine the region of c
Page 723 and 724: dk dsUnz Kkr dhft;s ,oa bl dsUnz ls
Page 725 and 726:
(b) Find the equation of right circ
Page 727 and 728:
(iii) Describe the structure of end
Page 729 and 730:
thok.kq esa jkbckslkse fdl izdkj dk
Page 731 and 732:
vPNs izsl izcU/ku dk mYys[k djrs gq
Page 733 and 734:
fodsUnzhÑr ;kstuk ij xk¡/kh ds fo
Page 735 and 736:
Hkwnku ds fy, fouksck Hkkos ds ;ksx
Page 737 and 738:
2. Gandhi and Satyagraha. xk¡/kh ,
Page 739 and 740:
4. Discuss the important theories o
Page 741 and 742:
4. Compare and contrast Addison and
Page 743 and 744:
A MPSA-01 M.Phil EXAMINATION, June,
Page 745 and 746:
Page 747 and 748:
Page 749 and 750:
(ii) gfj% oSdq.Be/;kLrsA (iii) jkes
Page 751 and 752:
customers service satisfaction with
Page 753 and 754:
^û dsoy ikuh dh i;kZIr ek=k cfYd m
Page 755 and 756:
lkoZtfud iqLrdky;ksa dh cnyrh Hkwfe
Page 757 and 758:
A MPHD-02 M.Phil EXAMINATION, June,
Page 759 and 760:
A MPHD-01 M.Phil EXAMINATION, June,
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Old Exam Papers June 2012 (Set 2)

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