University of Hyderabad Phd. Mathematics Entrance Exam old Paper

Will you please share the Previous Year Phd. Mathematics Entrance Exam Question Paper of University of Hyderabad??

As per your request here I am sharing the Previous Year Phd. Mathematics Entrance Exam Question Paper of University of Hyderabad

Consider the quotient ring Z/QSZ, where Z is the ring of integers. The
number of elements 2: € Z/95Z such that 2:2 : T is
(a) 1. (b) 2. 3. (d) 4. (e) none of these.

The number of proper subfields of the field F235 (finite field with 235
elements) is
(a) 1. (b) 2. (c) 3. (d) 4. (e) none of these.

Denote by Zp, the field of integers modulo p, where p is a prime. In
the vector space Zp the number of distinct one dimensional subspaces
is
(a) 19+ 2. (b) 11+ 1. (c) p— 1. (d) p— 2. (0) none of these.

If A is a 4 X 4 matrix with characteristic polynomial (a?2 e 1)2 and
minimal polynomial (122 — 1), then its Jordan canonical form is

Let X and Y be two topological spaces and f z X fi> Y be a continuous
surjection. Then
(a) V is an open set in X implies f(V) is open in Y.
(b) F is a closed set in X implies f(F) is closed in Y.
(c) D is dense in X implies f(D) is dense in Y.
(d) A is an infinite subset of X implies f(A) is an infinite subset of Y.
(e) none of the above.

Let m be the Lebesgue measure on IR and E be a. Lebesgue measurable subset of R. For any real a, if we denote aE : {arc : :0 € E}, then
(a) m(aE) : (b) m(aE) : 0.101(5).
(C) "1015) I MIME)-
(d) m(0.E) : a. + (e) none of the above.












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I want the previous year question paper of Phd. Mathematics Entrance Exam of University of Hyderabad so can you provide me?

The University of Hyderabad an Indian Public Research University located in Hyderabad, Telangana, India. It was established in 1974. the University is accreted by National Assessment and Accreditation Council (NAAC).

University of Hyderabad Phd. Mathematics Entrance Exam question paper

Time : 2 hours

Max. Marks. 100

Part A: 25marks

Each correct answer carries 1 mark and each wrong answer carries -0'33 mark

Part B: 50marks

Here I am attaching a pdf file of question paper

University of Hyderabad Phd. Mathematics Entrance Exam question paper








Contact address

University of Hyderabad
Central University P.O., Prof. C.R.Rao Road, Gachibowli
Hyderabad, Telangana 500046

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