Old Exam Papers June 2012 (Set 2)

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6. (a) If x, y be two orthogonal vectors in a Hilbert space H, then prove that : 2 2 2 2 xy x y x y x y (b) If le1, e2 ,......, enq be a finite orthonormal set in a Hilbert space H, and x be any vector in H, then : n bx , eig x 2 n 2 and x bx , eige ie jj i1 i 1 7. (a) Define self-adjoint operator. If T is an operator on a Hilbert space H, then prove that T is self-adjoint if and only if Tx x , b g is real for all x. 8 (b) If T1 , T2 are normal operators on a Hilbert space H with the property that either commutes with the adjoint of the other, then T1 T2 and T1T2 are also normal. 8 8. (a) If P be the prefection on a closed linear subspace M of a Hilbert space H, then prove that M reduces an operator T if and only if TP PT . 8 600 4 M.A./M.Sc.-M.T.-06 6 10 bounded set of numbers i.e., lTiq is bounded as a subset of BbB , Ng. 10 4. (a) If N be a normed linear space and x 0 is a non-zero vector in N, then a continuous linear functional F defined on the conjugate space N* such that : bg F x x and F 0 0 1 (b) If M be a closed linear subspace of a normed linear space N and T be a natural mapping (homomorphism) of N onto N/M such that T x x M 8 bg , then show that T is continuous (or bounded) linear transformation with T 1 . 8 5. (a) Define Hilbert space. In a Hilbert space, prove that the inner product is jointly continuous i.e., x x, y y x , y x, y n n n n b g b g 6 (b) If M be a closed linear subspace of a Hilbert space H, x be a vector not in M and d be the distance from x to M. Then prove that there exists a unique vector y0 in M such that x y0 d . 10 M.A./M.Sc.-M.T.-06 3 PTO
Mr. Ram to whom 160 shares were allotted, failed to pay allotment money and on his subsequent failure to pay first call, his shares were forfeited. Mohan the holder of 240 shares, failed to pay the two calls and his shares were forfeited. Give Journal Entries and prepare Balance Sheet of S Ltd. 10+6 9. What is 'Trial Balance' ? Discuss those mistakes which can not be detected by trial balance. 8+8 10. Write short notes on the following : (i) Inter Departmental Transactions (ii) Stock and Debtor Method of Branch Accounts 8+8 200 8 BBA-02 A BBA-02 B.B.A. (Part I) EXAMINATION, <strong>June</strong>, <strong>2012</strong> FUNDAMENTALS OF ACCOUNTING Paper-BBA-02 (Fundamentals of Accounting) Time allowed : Three hours Maximum marks : 80 Attempt any five questions. Each question carries equal marks. 1. Explain the following accounting terminology : (i) Current Assets (ii) Current Liabilities (iii) Balance Sheet (iv) Discount 4+4+4+4 PTO
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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
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A B.Ed.-22 (New) B.Ed. EXAMINATION,
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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 and 674: 'kkfUr LFkkiuk dk vFkZ crkrs gq, 'k
Page 675 and 676: prove that G' H if and only if H i
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: Then prove that N/M is a normed lin
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 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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