DUET MPhil Phd in Mathematics Question Paper with Answer Keys 2019-20 Download PDF

DUET MPhil Phd in Mathematics Question Paper with Answer Keys 2019-20

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DUET MPhil Phd in Mathematics Question Paper with Answer Keys 2019

Delhi University Entrance Test (DUET) 2019-20 MPhil Phd in Mathematics Question Paper with Answer Keys Free Download PDF is available in www.oldquestionpapers.net which has been provided by many students this DUET 2019-20 paper is available for all the students in FREE and also DUET MPhil Phd in Mathematics Question Paper 2019-20 fully solved DUET with answer keys and solution.

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EXAMPLE QUESTIONS

Q1. The mathematician who was awarded Abel’s prize for a proof of Fermat’s Last Theorem is

  • 1. Andrew Wiles.
  • 2. Johan F. Nash.
  • 3. S. R. Srinivasa Varadhan.
  • 4. Lennart Carleson.

Q2. Founder of Indian Mathematical Society(IMS) was

  • 1. Asutosh Mukherjee.
  • 2. S. Narayana Aiyer.
  • 3. M.T. Narayaniyengar.
  • 4. V. Ramaswamy Aiyer.

Q3. Let R be a commutative ring with identity. If R is an Artinian domain, then the total number of prime ideals in R is

  • 1. 1
  • 2. infinite.
  • 3. 3
  • 4. 2

Q4. The famous Indian mathematician Srinivas Ramanujan passed away in the year

  • 1. 1920
  • 2. 1922
  • 3. 1921
  • 4. 1919

Q5. Let F be a finite field with 9 elements. How many elements of F have order 8?

  • 1. 1
  • 2. 4
  • 3. 8
  • 4. 2

Q6. Which of the following statements is not true

  • 1. An uncountable discrete space is not separable.
  • 2. Every closed subspace of a separable space is separable.
  • 3. Every compact metric space is Lindelof.
  • 4. Every second countable space is separable.

Q7. Which of the following websites is of Mathematical Reviews

  • 1. https://mathscinet.ams.org
  • 2. https://mathscinet.ac.in
  • 3. https://math.ac.au
  • 4. https://www.mathjournal.org.

Q8. Let G be a cyclic group of order 42. The number of distinct composition series of G is

  • 1. 8
  • 2. 16
  • 3. 10
  • 4. 6

Q9. Which of the following statements is not true

  • 1. The set of all algebraic numbers is countable.
  • 2. The set of rational numbers is equivalent to the set of natural numbers
  • Given a Set A, there exists a function f : A → P (A) that is into (P(A) denotes power set of A)
  • There is one-one function taking (– 1, 1) into

Q10. Consider the following statement:

I x3 – 9 is not irreducible over Z7
II x3 – 9 is not irreducible over Z11
Then

  • 1. II is false but I is true.
  • 2. both I and II are true.
  • 3. both I and II are false.
  • 4. I is false but II is true.

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