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GATE Mathematics Practice Paper 2 Questions And Answers

Here you can find GATE Mathematics Practice Paper 2 Questions And Answers.

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Mathematics Practice Paper 2 Questions And Answers

1. The possible set of eigen values of a 4*4 skew-symmetric orthogonal real matrix is

Mathematics Practice Paper 2 Questions And Answers

4. Let f:ℝ →ℝ be a continuous function with f(1)=5 and f(3)=11. If g(x) = then g′(0) is equal to ______

Mathematics Practice Paper 2 Questions And Answers

5. Let P be a 2*2 complex matrix such that trace(P) = 1 and det(P)=−6. Then, trace (P4 - P3) is ______

Mathematics Practice Paper 2 Questions And Answers

6. Suppose that R is a unique factorization domain and that a,b ∈R are distinct irreducible elements. Which of the following statements is TRUE?

Mathematics Practice Paper 2 Questions And Answers

7. Let X be a compact Hausdorff topological space and let Y be a topological space. Let f: X --> Y be a bijective continuous mapping. Which of the following is TRUE?

Mathematics Practice Paper 2 Questions And Answers

8. Consider the linear programming problem: Maximize x + 3/2 y subject to 2x + 3y ≤ 16 x + 4y ≤ 18 x ≥ 0, y ≥ 0. If 𝑆𝑆 denotes the set of all solutions of the above problem, then

Mathematics Practice Paper 2 Questions And Answers

9. Which of the following groups has a proper subgroup that is NOT cyclic?

Mathematics Practice Paper 2 Questions And Answers

11. Suppose the random variable U has uniform distribution on [0,1] and X =−2logU. The density of X is

Mathematics Practice Paper 2 Questions And Answers

12. Let f be an entire function on ℂ such that |f(z)| ≤ 100 log|z| for each z with |z| ≥ 2. If F(i) = 2i then f(1)

Mathematics Practice Paper 2 Questions And Answers

13. The number of group homomorphisms from ℤ3 to ℤ9 is ______

Home EngineeringGATE 2017-2018MathematicsPractice Paper 2

GATE Mathematics Online Practice Test Paper 2

Free Online Practice mock Test 2 for GATE Mathematics. GATE syllabus and Previous Year Question Papers with Answers Free Download.

1. The possible set of eigen values of a 4*4 skew-symmetric orthogonal real matrix is
  • A. {±i}
  • B. {±i, ±1}
  • C. {±1}
  • D. {0 , ±i}
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Answer & Explanation

Answer: Option A

Explanation:

-NA-

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2. The coefficient of (z − π)2 in the Taylor series expansion of

around π is
  • A. 1/2
  • B. -1/2
  • C. 1/6
  • D. -1/6
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Answer & Explanation

Answer: Option C

Explanation:

-NA-

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3. Consider ℝ2 with the usual topology. Which of the following statements are TRUE for all A,B ⊆ ℝ2?

  • A. P and R only
  • B. P and S only
  • C. Q and R only
  • D. Q and S only
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Answer & Explanation

Answer: Option B

Explanation:

-NA-

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4. Let f:ℝ →ℝ be a continuous function with f(1)=5 and f(3)=11. If g(x) =  then g′(0) is equal to ______
  • A. 3
  • B. 4
  • C. 5
  • D. 6
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Answer & Explanation

Answer: Option D

Explanation:

-NA-

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5. Let P be a 2*2 complex matrix such that trace(P) = 1 and det(P)=−6. Then, trace (P4 - P3) is ______
  • A. 78
  • B. 74
  • C. 79
  • D. 72
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  • Report
  • Discuss

Answer & Explanation

Answer: Option A

Explanation:

-NA-

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