**DUET MPhil Phd in Mathematics Question Paper with Answer Keys 2019**

**Delhi University Entrance Test (DUET)** 2019** MPhil Phd in Mathematics **Question Paper with answers DUET MPhil Phd in Mathematics Question Paper 2019 with solution you can download it in FREE, if DUET MPhil Phd in Mathematics Question Paper 2019 in text or pdf for DUET MPhil Phd in Mathematics Question Paper 2019 Answer Keys you can download DUET 2019 page also just Go to menu bar, Click on File->then Save.

**DUET MPhil Phd in Mathematics Question Paper with Answer Keys 2019**

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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
**ℝ**

**Q10. Consider the following statement:**

I x^{3} – 9 is not irreducible over Z_{7 }II x^{3} – 9 is not irreducible over Z_{11 }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.

**DUET MPhil PhD in Mathematics Questio****n Paper with Answer Keys 2019 Download PDF File:**

| Papers Name | PDF Files |

1. | MPhil Phd in Mathematics |

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