What is the time duration allowed for the examination?

The time allowed for the examination is 3 Hours.

What is the question type for this paper?

The question type for this paper is objective.

In which languages is the question paper available?

The question paper is available in both Hindi and English languages.

Where should candidates write their roll number?

Candidates should write their roll number in the given boxes on the question booklet.

What should a candidate do if there are missing or torn pages?

If there are any unprinted, torn, or missing pages, the candidate should immediately contact the Invigilator and get it replaced.

Is rough work allowed on the OMR sheet?

No, rough work should only be done on the space meant for it at the end of the Question Booklet and not on the Answer Sheet (OMR).

Which version is considered standard in case of printing or factual errors?

In case of any printing or factual error, the Hindi version of the question will be treated as standard.

MPPSC Assistant Professor Mathematics Question Paper 2024 PDF

Name: MPPSC Assistant Professor Mathematics Question Paper 2024 PDF
Creator: MPPSC
Keywords: MPPSC Assistant Professor Mathematics Question Paper 2024, MPPSC 2024 Mathematics Paper, Assistant Professor Mathematics Exam 2024, MPPSC Mathematics Previous Year Paper, Mathematics Question Paper PDF, MPPSC Recruitment 2024, Objective Mathematics Questions, MPPSC Exam Paper, Madhya Pradesh PSC, Assistant Professor Recruitment, Mathematics Exam, 2024 Exam Paper, MPPSC Syllabus, MPPSC Exam Pattern, Competitive Exam Preparation

Madhya Pradesh Government Jobs Professor 2024

Year 2024
Conducted By MPPSC
Questions 150
Maximum Marks 600
Duration 3 Hours
Languages Hindi & English

Exam Details

Detail	Information
Examination	MPPSC Assistant Professor, Librarian and Sports Officer Examination
Year	2024
Conducting Body	MPPSC
Paper	Mathematics
Subject	Mathematics
Duration	3 Hours
Maximum Marks	600
Number of Questions	150
Question Type	Objective (MCQ)

This is the official Mathematics question paper for the Madhya Pradesh Public Service Commission (MPPSC) Assistant Professor, Librarian and Sports Officer Examination held in 2024. The paper consists of 150 objective questions, carrying a total of 600 marks. Candidates were allotted 3 hours to complete the examination. This paper is crucial for aspirants preparing for the MPPSC Assistant Professor recruitment, offering insights into the exam pattern, question difficulty, and key topics covered in Mathematics.

Major Topics Covered

Mathematics
Calculus
Real Analysis
Topology
Number Theory
Combinatorics

Why This Paper is Important

Useful for Madhya Pradesh Public Service Commission 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

MPPSC Assistant Professor Physics Question Paper 2024
MPPSC Assistant Professor Chemistry Question Paper 2024
MPPSC Librarian Question Paper 2024
MPPSC Sports Officer Question Paper 2024
MPPSC Assistant Professor Mathematics Answer Key 2024
MPPSC Assistant Professor Mathematics Syllabus
MPPSC Assistant Professor Exam Pattern
MPPSC State Service Exam

Instructions

परीक्षा प्रारम्भ होने के तुरन्त बाद, आप इस प्रश्न-पुस्तिका की पड़ताल अवश्य कर लें, कि इसमें कोई बिना छपा, फटा या छूटा हुआ पृष्ठ अथवा प्रश्नांश, आदि न हो।
यदि ऐसा है, तो वीक्षक से तत्काल संपर्क कर प्रश्न-पुस्तिका बदल लेवे।
इस प्रश्न-पुस्तिका में गणित से संबंधित कुल 150 प्रश्न हैं।
सभी प्रश्न हिन्दी तथा अंग्रेज़ी भाषा में हैं।
प्रदत्त उत्तर-पत्र (ओ.एम.आर. शीट) पर दिए गए निर्देशों को ध्यानपूर्वक पढ़ें तथा अपने उत्तर तदनुसार अंकित करें।
कृपया उत्तर-पत्र (ओ.एम.आर. शीट) पर निर्धारित स्थानों पर आवश्यक प्रविष्टियाँ करें, अन्यत्र स्थानों पर नहीं।
परीक्षार्थी सभी रफ़ कार्य प्रश्न-पुस्तिका के अंतिम पृष्ठों पर निर्धारित स्थान पर ही करें, अन्यत्र कहीं नहीं तथा उत्तर-पत्र (ओ.एम.आर. शीट) पर भी नहीं।
यदि किसी प्रश्न में किसी प्रकार की कोई मुद्रण या तथ्यात्मक प्रकार की त्रुटि हो, तो प्रश्न के हिन्दी तथा अंग्रेज़ी रूपांतरों में से हिन्दी रूपांतर को मानक माना जाएगा। INSTRUCTIONS TO THE CANDIDATES

Immediately after the commencement of the examination, you should check that this Question Booklet does not have any unprinted or torn or missing pages or items etc.
If so, immediately contact the Invigilator and get it replaced with another Question Booklet.
This Question Booklet contains Total 150 questions of concerned Mathematics subject.
All questions are in Hindi and English languages.
Read carefully the instructions given on the Answer Sheet (OMR) supplied and indicate your answers accordingly.
Kindly make necessary entries on the Answer Sheet (OMR) at the places indicated and nowhere else.
Examinee should do all rough work on the space meant for rough work on pages given at the end of the Question Booklet and nowhere else, not even on the Answer Sheet (OMR). \frac{1}{2}
If there is any sort of mistake either of printing or of factual nature in any question, then out of \bullet the Hindi and English versions of the question, the Hindi version will be treated as standard. \circ ō ^{\circ}oeoeoeoe^{\circ} 040804040404040404040404040404040404040 ı 2124-A

Questions (page 2)

Q1. किसी अन्तराल I ⊂ R पर परिभाषित फलन f के a ∈ I पर सतत होने के लिए एक आवश्यक और पर्याप्त प्रतिबंध है कि I में प्रत्येक अनुक्रम , जो a पर अभिसारी है, हम lim_{n oinfty} f(a_n) के लिए रखते है =

(a) f'(a)
(b) f²(a)
(c) f(a)
(d) f"(a)

Q2. यदि एक वास्तविक मान फलन f(x), [a, b] में सतत है, तब यह अपने उच्चक और निम्नक को प्राप्त करता है

(a) [a, b] में कम से कम एक बार
(b) [a, b] में कम से कम दो बार
(c) [a, b] में अधिकतम एक बार
(d) [a, b] में अधिकतम दो बार

Q3. माना (m, d) एक पूर्ण दूरीक समष्टि है और f : m o m एक संकुचन है, तब f रखता है

(a) एक अद्वितीय निश्चित बिंदु
(b) दो निश्चित बिंदु
(c) कोई निश्चित बिंदु नहीं
(d) कई निश्चित बिंदु

Q4. दो दूरीक समष्टियाँ (M, d₁) और (N, d₂) को होमियोमॉर्फिक कहा जाते है यदि एकैक और आच्छादक फलन f : M o N इस तरह है कि

(a) f और f^-1 दोनों सतत है
(b) f सतत है और f^-1 समान रूप से सतत है
(c) f समान रूप से सतत है और f^-1 सतत है
(d) f और f^-1 दोनों समान रूप से सतत है

Q5. माना (M, d) एक संहत दूरीक समष्टि है। यदि f : M o R एक सतत और परिबद्ध है, तब

(a) f केवल अपने अधिकतम मान को प्राप्त करता है
(b) f केवल अपने न्यूनतम मान को प्राप्त करता है
(c) f अपने अधिकतम और न्यूनतम दोनों मान प्राप्त करते है
(d) f न तो अधिकतम मान प्राप्त करता है और न ही न्यूनतम प्राप्त करता है

Q6. 1 तथा 1000 के मध्य ऐसे पूर्णांकों की संख्या जो 2, 3, 5 या 7 से विभाजित नहीं होते है

(a) 772
(b) 228
(c) 224
(d) 214

Q7. 3^{247} को 25 से विभाजित करने पर प्राप्त शेषफल है

(a) 12
(b) 13
(c) 11
(d) 17

Q8. यदि p + q + r वस्तुओं में से p एक जैसी, q एक जैसी तथा शेष भिन्न हैं, तो संचयों की कुल संख्या है

(a) (p + 1) (q + 1) (r + 1) - 1
(b) (p + 1) (q + 1)2^r
(c) (p + 1) (q + 1)2^r - 1
(d) (p + 1) (q + 1) (r + 1)

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Frequently asked questions

What is the name of the examination?

The examination is the Madhya Pradesh Public Service Commission (MPPSC) Assistant Professor, Librarian and Sports Officer Examination.

What is the subject of this question paper?

This question paper is for the subject of Mathematics.

What is the year of this examination paper?

The year of this examination paper is 2024.

Who is the conducting body for this exam?

The conducting body is the Madhya Pradesh Public Service Commission (MPPSC).

How many questions are there in the Mathematics paper?

There are a total of 150 questions in the Mathematics paper.

What is the maximum marks for the Mathematics paper?

The maximum marks for the Mathematics paper is 600.

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