All India Exams
  • Sign In / Register Sign In
Home AptitudeBankEngineeringEnglishGKInterviewOnline TestPlacement PapersReasoning
  • Home
  • Aptitude
  • Bank
  • Engineering
  • English
  • GK
  • Interview
  • Online Test
  • Placement Papers
  • Reasoning

GATE Mathematics Practice Paper 1 Questions And Answers

Here you can find GATE Mathematics Practice Paper 1 Questions And Answers.

Why GATE Mathematics Practice Paper 1 Questions And Answers Required?

In this GATE Mathematics Practice Paper 1 Questions And Answers section you can learn and practice GATE Mathematics Practice Paper 1 Questions And Answers to improve your skills in order to face technical inerview conducted by Organisations. By Practicing these interview questions, you can easily crack any Competitive Exams interview.

Where can I get GATE Mathematics Practice Paper 1 Questions And Answers?

AllIndiaExams provides you lots GATE Mathematics Practice Paper 1 Questions And Answers with proper explanation. Fully solved examples with detailed answer description. All students, freshers can download GATE Mathematics Practice Paper 1 Questions And Answers as PDF files and eBooks.

How to solve these GATE Mathematics Practice Paper 1 Questions And Answers?

You no need to worry, we have given lots of GATE Mathematics Practice Paper 1 Questions And Answers and also we have provided lots of FAQ's to quickly answer the questions in the Competitive Exams interview.

Mathematics Practice Paper 1 Questions And Answers

1. The straight lines L1 : x = 0, L2 : y = 0 and L3 : x + y = 1 are mapped by the transformation w = z2 into the curves C1 , C2 and C3 respectively. The angle of intersection between the curves at w = 0 is

Mathematics Practice Paper 1 Questions And Answers

2. In a topological space, which of the following statements is NOT always true :

Mathematics Practice Paper 1 Questions And Answers

3. Consider the following statements: P: The family of subsets {An = (-1/n, 1/n), n = 1, 2, ...} satisfies the finite intersection property. Q: On an infinite set X , a metric d : X * X --> R is defined as d(x,y) = [0 , x = y and 1, x ? y] The metric space (X,d) is compact. R: In a Frechet (T1) topological space, every finite set is closed. S: If f : R --> X is continuous, where R is given the usual topology and (X, t) is a Hausdorff (T2) space, then f is a one-one function. Which of the above statements are correct?

Mathematics Practice Paper 1 Questions And Answers

4. A simple random sample of size 10 from 2 N(µ,s2) gives 98% confidence interval (20.49, 23.51). Then the null hypothesis H0 : µ = 20.5 against HA : µ ? 20.5

Mathematics Practice Paper 1 Questions And Answers

5. For the linear programming problem Maximize z = x1 + 2x2 + 3x3 - 4x4 Subject to 2x1 + 3x2 - x3 - x4 = 15 6x1 + x2 + x3 - 3x4 = 21 8x1 + 2x2 + 3x3 - 4x4 = 30 x1, x2, x3, x4 = 0, x1 = 4, x2 = 3, x3 = 0, x4 = 2 is

Mathematics Practice Paper 1 Questions And Answers

6. Which one of the following statements is TRUE?

Mathematics Practice Paper 1 Questions And Answers

8. Let V = ℂ2 be the vector space over the field of complex numbers and B{(1, i), (i,1)}be a given ordered basis of V. Then for which of the following, B* = {f1, f2}is a dual basis of B over ℂ?

Mathematics Practice Paper 1 Questions And Answers

9. Let R = ℤ*ℤ*ℤ and I = ℤ*ℤ*{0}. Then which of the following statement is correct?

Mathematics Practice Paper 1 Questions And Answers

12. If a transformation y = uv transforms the given differential equation f(x)y'' - 4f'(x)y' + g(x)y = 0 into the equation of the form v'' + h(x)v = 0, then u must be

Mathematics Practice Paper 1 Questions And Answers

13. The expression 1/(Dx2 - Dy2) sin(x - y) is equal to

Home EngineeringGATE 2017-2018MathematicsPractice Paper 1

GATE Mathematics Online Practice Test Paper 1

Free Online Practice mock Test 1 for GATE Mathematics. GATE syllabus and Previous Year Question Papers with Answers Free Download.

1. The straight lines L1 : x = 0, L2 : y = 0 and L3 : x + y = 1 are mapped by the transformation w = z2 into the curves C1 , C2 and C3 respectively. The angle of intersection between the curves at w = 0 is
  • A. 0
  • B. π/4
  • C. π/2
  • D. π
  • View Answer
  • Workspace
  • Report
  • Discuss

Answer & Explanation

Answer: Option D

Explanation:

-NA-

Workspace

Report Error


2. In a topological space, which of the following statements is NOT always true :
  • A. Union of any finite family of compact sets is compact.
  • B. Union of any family of closed sets is closed.
  • C. Union of any family of connected sets having a non empty intersection is connected.
  • D. Union of any family of dense subsets is dense.
  • View Answer
  • Workspace
  • Report
  • Discuss

Answer & Explanation

Answer: Option B

Explanation:

-NA-

Workspace

Report Error


3. Consider the following statements: 
P: The family of subsets {An = (-1/n, 1/n), n = 1, 2, ...} satisfies the finite intersection property. 
Q: On an infinite set X , a metric d : X * X --> R is defined as d(x,y) = [0 , x = y and 1, x ≠ y] The metric space (X,d) is compact. 
R: In a Frechet (T1) topological space, every finite set is closed. 
S: If f : R --> X is continuous, where R is given the usual topology and (X, t) is a Hausdorff (T2) space, then f is a one-one function. 
Which of the above statements are correct?
  • A. P and R
  • B. P and S
  • C. R and S
  • D. Q and S
  • View Answer
  • Workspace
  • Report
  • Discuss

Answer & Explanation

Answer: Option A

Explanation:

-NA-

Workspace

Report Error


4. A simple random sample of size 10 from 2 N(μ,σ2) gives 98% confidence interval (20.49, 23.51). Then the null hypothesis H0 : μ = 20.5 against HA : μ ≠ 20.5
  • A. can be rejected at 2% level of significance
  • B. cannot be rejected at 5% level of significance
  • C. can be rejected at 10% level of significance
  • D. cannot be rejected at any level of significance
  • View Answer
  • Workspace
  • Report
  • Discuss

Answer & Explanation

Answer: Option C

Explanation:

-NA-

Workspace

Report Error


5. For the linear programming problem 
Maximize z = x1 + 2x2 + 3x3 - 4x4 
Subject to      2x1 + 3x2 - x3 - x4 = 15  
                       6x1 + x2 + x3 - 3x4 = 21 
                       8x1 + 2x2 + 3x3 - 4x4 = 30 
                       x1, x2, x3, x4 ≥ 0, 
x1 = 4, x2 = 3, x3 = 0, x4 = 2 is
  • A. an optimal solution
  • B. a degenerate basic feasible solution
  • C. a non-degenerate basic feasible solution
  • D. a non-basic feasible solution
  • View Answer
  • Workspace
  • Report
  • Discuss

Answer & Explanation

Answer: Option D

Explanation:

-NA-

Workspace

Report Error


  • «
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • ...
  • 11
  • 12
  • »

Related Topics:

  • Practice Paper 2

Mock Tests & Online Quizzes

  • Aptitude Online Test

  • Reasoning Online Test

  • GK Online Test

  • English Online Test

  • RRB Mock Test

  • RBI Mock Test

  • Free SBI Mock Test

  • IBPS Mock Test FREE

  • SSC Mock Test

  • CAT Exam Mock Test

  • GATE Mock Test

  • LIC Mock Test Series

  • MAT Mock Test

  • SEBI Mock Test

  • ESIC Mock Test

  • IT Courses Quiz

Newsletter

Contact Us

Questions and Answers

  • Aptitude Questions
  • Verbal Reasoning Questions
  • Non Verbal Reasoning Questions
  • Logical Reasoning Questions
  • Data Sufficiency Questions
  • Data Interpretation Questions
  • C Programming
  • C++ Programming
  • PHP Programming
  • Java Programming
  • eLitmus Sample Papers
  • ECE Questions and Answers
  • EEE Questions and Answers
  • Verbal Ability Questions
  • GK Questions
  • AMCAT Mock Online Test
  • LIC Mock Test
  • IBPS Mock Test

Interview Questions

  • Java Interview Questions
  • .Net Interview Questions
  • Networking Interview Questions
  • C Language Interview Questions
  • C++ Interview Questions
  • Testing Interview Questions
  • Android Interview Questions
  • HR Interview Questions
  • Group Discussion Topics
  • iOS Interview Questions
  • Web Technologies
  • Database Interview Questions
  • MS Office Interview Questions
  • Software Tools
  • Data Interpretation
  • PHP Interview Questions
  • CAT Mock Test
  • SSC Mock Test
© by AllIndiaExams.in. All Rights Reserved | Copyright | Terms of Use & Privacy Policy