Haryana PGT Mathematics 2023 MAT12 Question Paper
- Year 2023
- Conducted By Haryana Government
- Questions 18
- Maximum Marks 150
- Duration 3 Hours
- Languages English & Hindi
Exam Details
| Detail | Information |
|---|---|
| Examination | Post Graduate Teachers (PGTs) Mathematics Subject Knowledge Test |
| Year | 2023 |
| Conducting Body | Haryana Government |
| Paper | Mathematics |
| Subject | Mathematics |
| Duration | 3 Hours |
| Maximum Marks | 150 |
| Number of Questions | 18 |
| Question Type | Objective (MCQ) |
This entry consolidates the 2023 Haryana Government Post Graduate Teachers (PGTs) Mathematics question paper (MAT12). Page 1 provides the exam header, time, marks, and instructions. Page 2 contains the repaired objective questions with multiple topics including algebra, number theory, combinatorics, probability, matrices, and analytic concepts. The content is prepared for SEO with detailed metadata, a set of FAQs, and topic tagging to assist in search visibility. The questions cover proofs, complex numbers, combinatorics, functions, binomial expansion, inequalities, linear algebra, and system of equations, presenting a comprehensive practice resource for candidates targeting PGT Mathematics in Haryana.
Major Topics Covered
- Algebra
- Number Theory
- Complex Numbers
- Combinatorics
- Probability
- Functions
- Binomial Expansion
- Inequalities
- Matrices
- Linear Algebra
- Vector/Matrix Identities
- Systems of Linear Equations
- Induction
- Mathematical Reasoning
- Sequences and Series
- Polynomials
- Arithmetic and Geometric Progressions
- Diophantine Equations
- Set Theory Basics
- Mathematical Logic
Why This Paper is Important
- Useful for Post Graduate Teachers (PGTs) Mathematic preparation
- Helps understand the latest exam pattern
- Useful for practice and self-assessment
- Covers frequently asked General Studies topics
- Helpful for analysing question trends
Related Resources
Instructions
- There are eighteen (18) questions in all. 1 Candidate has to attempt any fifteen (15) questions in all. \overline{2} Marks assigned to each question/part are given against it. 3 Word limit in questions, wherever specified should be adhered to. 4 Attempts of questions shall be counted sequential order.
- Unless struck off, attempt 5 of a question shall be counted even if attempted partly.
- Any page or portion of the page left blank in the answer booklet must be clearly struck off.
- No extra/additional sheet will be provided. 6 signing to boom of a Answer must be written in the authorized medium.
- No marks will be given for 7 answers written in a medium other than the authorized one.
Questions (page 2)
Q2. If z1 and z2 both satisfy the relation z + \overlinez = 2|z-1| and \arg(z1 - z2) = (π)/(4), \overline2 10 then find the imaginary part of z1 + z2.
Q3.
A box contains 7 blue socks and 5 red socks. Find the number of ways two socks can be drawn from the box if
(i) they can be of any color;
(ii) they must be of the same color.
Q4. Consider the function f : N × N such that f(x, y) = (2x+1)2y - 1, where N is the set of natural numbers including zero. Check whether function is bijective or not.
Q5. Find the coefficient of x4 in the expansion of (1+x+x2)^{10}.
Q6. If x, y, z are positive real numbers, such that x + y + z = a, then prove that (1)/(x) + (1)/(y) + (1)/(z) ≥ (9)/(a).
Q7. Let A and B be square matrices. If AB = BA, then prove by the method of mathematical induction that (AB)n = AnB^n for n ≥ 1.
Q8. Alman Drow The value of xyz is 55 or 343/55 according as the series a, x, y, z, b is in 6 10 A.P. or H.P., respectively. Find the values of a and b given that they are positive integers.
Q9. Similar tin tan Is the following system consistent? If consistent, check whether the solution 7 10 15 is unique or infinite. 2y+z=3, 3x+y+4z=5, 2x+4y+6z=9
Q10. 96. MAT12 ] √(2) [Contd...
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Frequently asked questions
What is the exam name and year?
Post Graduate Teachers (PGTs) Mathematics Subject Knowledge Test, 2023.
What is the paper code?
MAT12.
How many questions are in the paper?
There are 18 questions in total.
How many questions must be attempted?
Candidates must attempt any 15 questions.
What is the duration of the paper?
3 hours.
What is the maximum marks for the paper?
Maximum marks are 150.