www.pdfquestion.in

Name of the University : Sri Padmavati Mahila Visvavidyalayam
Degree : M.Phil./Ph.D
Document Type : Sample Question Paper
Name of the Subject : Research Entrance Test

Website : spmvv.ac.in
Download Sample Question Paper:  https://www.pdfquestion.in/uploads/7605-mphil.pdf

M.Phil./Ph.D Sample Question Paper

Applied Mathematics :
1. (a) Define a Homomorphism between two groups. If G and H be two groups with identities e and e¢ respectively and let f : G ® H is a homomorphism then prove that
(i) f (e) = e¢ (ii) f (x-1) = ( ( )) 1 – f x for each x Î G

Related / Similar Question Paper : SAU M.Phil/ Ph.D Sociology Question Paper

(b) Define a metric space and give an example. Show that the union of arbitrary open sets is open
(c) Define the continuity of a function in a metric space. Prove that the continuous image of a compact set is compact.
2. (a)Show that a finite integral domain is a ring.
(b) Define a vector space. Prove that the set of all real valued continuous functions defined in the open interval (0, 1) is a vector space over the field of real numbers,
with respect to the operations of addition and scalar multiplication defined as (f + g) (x) = f(x) + g(x) (a f) (x) = a f(x), a is real with 0 < x < 1

3. (a) Let X be a non-empty set. Show that the class of subsets of X consisting of empty set f and all sets whose complements are countable, is a topology on X
(b) Let X be second countable space. If a non empty open set G in X is represented as the union of a class {Gi} of open sets then prove that G can be represented as a countable union of Gi’s.
4. Use two phase simplex method to minimize z = 6 x + 21 y subject to the constraints
5. Solve the following transportation problem by Vogel’s Approximation method To Available
5 8 3 6 30 From 4 5 7 4 50
6 2 4 6 20 Demand 30 40 20 10
6.(a) Define an analytic function. Show that f (z) = ez is analytic everywhere in the complex plane and find f ¢ (z).
(b) Show that the Mobius transformation w = 1/z is circle preserving 7. (a) State and prove Cauchy residue theorem

Applied Microbiology

1. Give an account of oxidation and biosynthesis of fatty acids.
2. What are Transposable elements. Describe the mechanism of transposition.
3. Describe the growth cycle of bacteria and the factors influencing it.
4. Discuss the difference between genomic and cDNA libraries and describe the methods for generation of cDNA libraries.
5. Give an account of methods of cultivation of viruses.
6. Describe the mode of action of antibacterial agents and add a not on the mechanism of drug resistance.
7. Describe recent trends in using microorganisms for environmental cleanup of contaminated and heavy metal polluted sites.
8. Give the principle and application of DNA fingerprinting techniques.

Biotechnology

1. Give a brief account of Genome organization in Prokaryotes and Eukaryotes.
2. Explain the principle and different methods of sterilization.
3. Write an essay on allosteric regulation of enzyme activities.
4. Explain the principle and mechanism of antigen and antibody interactions.
5. Enumerate the differences between Prokaryotic and Eukaryotic Translational Mechanisms.
6. Write an essay on biosynthesis of fatty acids and glycolipids.
7. Explain the basic principles, types and applications of electrophoresis.
8. Write about the different methods of introduction of rDNA into host cells.

Computer Science

In immediate addressing mode the operand is placed
a) In the CPU register b) After the OP Code in the instruction
c) In the memory d) In the stack memory
10. Branch instructions are handled in pipelining using
a) Loop Buffer Strategy b) Prefetch Target instruction strategy
c) Both (a) and (b) d) None of the above
11. Which of the following remarks about the differences between constructors and destructors are correct?
a) Constructors can take arguments but destructors cannot.
b) Destructors can take arguments but constructors cannot.
c) Destructors can be overloaded but constructors cannot be overloaded.
d) None of the above.
12. A class having no name
a) cannot have a constructor. b) cannot have a destructor.
c) cannot be passed as an argument. d) all the above.
13. If a class C is derived from class B, which is derived from class A, all through public inheritance, then a class C member function can access
a) protected and public data only in C and B. b) protected and public data only in C. c) private data in A and B. d) protected data in A and B.
14. Overloading the function operator
a) requires a class with an overloaded operator.
b) requires a class with an overloaded [ ] operator.
c) allows you to create objects that act syntactically like functions.
d) usually make use of a constructor that takes arguments
15. Usually a pure virtual function
a) has complete function body. b) will never be called. c) will be called only to delete an object. d) is defined only in derived class.
16. A property which is not true for classes is that they
a) are removed from memory when not in use. b) permit data to be hidden from other classes.
c) bring together all aspects of an entity in one place. d) can closely model objects in the real world.
17. An exception is caused by
a) a hardware problem b) a problem in the operating system
c) a syntax error d) a run-time error
18. Consider the following class definitions class a { }; class b: protected a {}; What happens when we try to compile this class?
a) Will not compile because class body of a is not defined.
b) Will not compile because class body of b is not defined.
c) Will not compile because class a is not public inherited.
d) Will compile successfully.
19. Which of the following is not the characteristic of constructor?
a) They should be declared in the public section.
b) They do not have return type. c) They cannot be inherited. d) They can be virtual.
20. Reusability is a desirable feature of a language as it
a) decreases the testing time. b) reduces the compilation time. c) reduces the execution time. d) None of the above.