MPSC Assistant Professor Mathematics 2014 Question Paper | MPSC Maths Paper

Maharashtra Government Jobs Professor 2014

  • Year 2014
  • Conducted By MPSC
  • Questions 100
  • Maximum Marks 100
  • Duration 60 minutes Hours
  • Languages English

Exam Details

Detail Information
Examination MPSC Assistant Professor Mathematics
Year 2014
Conducting Body MPSC
Paper Assistant Professor Mathematics, M.E.S., Collegiate Branch, Gr-A Online Examination
Subject Mathematics
Duration 60 minutes Hours
Maximum Marks 100
Number of Questions 100
Question Type Objective (MCQ)

This document contains the MPSC Assistant Professor Mathematics question paper from the 2014 examination. The exam, conducted by MPSC for the Collegiate Branch, Gr-A, was an online examination for the position of Assistant Professor in Mathematics. The paper consisted of 100 Multiple Choice Questions (MCQs) with a duration of 60 minutes and a maximum mark of 100. The questions cover various topics in Mathematics, including abstract algebra (groups, lattices) and binary operations. Some questions were marked as cancelled. The paper is presented in English. This resource is valuable for candidates preparing for the MPSC Assistant Professor Mathematics exam, providing insights into the exam pattern, difficulty level, and important topics.

Major Topics Covered

  • Abstract Algebra
  • Group Theory
  • Lattice Theory
  • Binary Operations
  • Set Theory
  • MPSC Exams
  • Assistant Professor
  • Mathematics
  • Competitive Exams
  • Previous Year Papers
  • Online Examination
  • Maharashtra Public Service Commission

Why This Paper is Important

  • Useful for MPSC Assistant Professor Mathematics 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

  • Options shown in green color are correct.
  • Options shown in red color are incorrect.
  • Group A Number of optional sections to be attempted: 0, Group Maximum duration : 0, Group Minimum duration : 60, Revisit allowed for view? : No, Revisit allowed for edit? : No, Break time: 0 Assistant Professor Mathematics Section type : Online, Number of Questions to be attempted:100, Mandatory or Optional: Mandatory Subsection : 1, Question Shuffling Allowed : Yes Question id: 2101 Question Type: MCQ The set of integers Z with the binary operation * defined by a*b=a+b+1 for a, b \in Z is a group.
  • The identity element of this group is Options: 0
  • 1 \overline{2}. 3^{-1} \overline{2} \overline{4}.
  • Question id: 2102 Question Type: MCQ The group (G,*) is abelin.
  • Which one of the following is true for G.
  • (Question Cancelled) Options: _1, G = g-1 for all g \in G
  • (g^*h)^{-2} = g^{2*} h^2 for all g, h \in G _4 G is a finite group Question id: 2103 Question Type: MCQ

Questions (page 2)

Q1. The set of integers Z with the binary operation * defined by a*b=a+b+1 for a, b ∈ Z is a group. The identity element of this group is

  • (a) 0
  • (b) 1
  • (c) -2
  • (d) 3^{-1}

Q2. The group (G,*) is abelin. Which one of the following is true for G. (Question Cancelled)

  • (a) G = g^{-1} for all g ∈ G
  • (b) G = g2 for all g ∈ G
  • (c) (g*h)^{-2} = g^{2*} h2 for all g, h ∈ G
  • (d) G is a finite group

Q3. Which of the following form a group under multiplication?

  • (a) Set of all negative rational numbers
  • (b) Set of all nonsingular 2 X 2 matrices
  • (c) Set of all 2 X 2 matrices
  • (d) Set of all rational numbers

Q4. The binary operation * is defined as (a, b)*(c, d) = (ad + bc, bd), then (2, 3)*(3, 5)*(3, 4) is equal to (Question Cancelled)

  • (a) (74, 40)
  • (b) (32, 40)
  • (c) (23, 11)
  • (d) (7, 11)

Q5. A self-complemented distributed lattice is called

  • (a) Boolean Algebra
  • (b) Modular Lattice
  • (c) Complete Lattice
  • (d) Self-dual Lattice

Q6. The lattice defined by Hasse diagram is given here.

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Frequently asked questions

What is the exam name and year?

The exam name is MPSC Assistant Professor Mathematics, and the year is 2014.

Who conducts the MPSC Assistant Professor Mathematics exam?

The exam is conducted by MPSC (Maharashtra Public Service Commission).

What is the subject of the exam?

The subject is Mathematics.

What is the exam stage?

The exam stage is Group A (Gr-A) for the Collegiate Branch, MES.

What is the total duration of the exam?

The total duration allowed for the exam is 60 minutes.

What is the maximum marks for the exam?

The maximum marks for the exam is 100.

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