What type of questions are asked in this paper?

The paper consists of objective type questions.

Are there any negative marks for wrong answers?

Yes, 1/3 part of the mark(s) of each question will be deducted for each wrong answer.

Which language versions are available for the questions?

The questions are available in both Hindi and English versions. In case of ambiguity, the English version will be treated as standard.

Can I use a mobile phone during the exam?

No, mobile phones or any other electronic gadgets are strictly prohibited in the examination hall.

What should I do if the question paper booklet number on the answer sheet differs from the question paper?

If there is any difference, the candidate must obtain another Question Paper Booklet from the Invigilator. The candidate is responsible for ensuring this.

ASST. PROF. (COLLEGE EDUCATION) 2020 Mathematics-II Question Paper PDF

Name: ASST. PROF. (COLLEGE EDUCATION) 2020 Mathematics-II Question Paper PDF
Creator: RPSC
Keywords: ASST. PROF. (COLLEGE EDUCATION) 2020, Mathematics-II Question Paper, RPSC Exam Paper, Assistant Professor Mathematics, Objective Questions Mathematics, 2020 Mathematics Paper, Rajasthan Govt Jobs, College Education Recruitment, Paper II Mathematics, Exam Pattern RPSC, Previous Year Question Paper, Mathematics Syllabus, RPSC Asst Prof, College Education Exam, Mathematics II PDF

Rajasthan Government Jobs Professor 2020

Year 2020
Conducted By RPSC
Questions 150
Maximum Marks 75
Duration 3.00 Hours
Languages Hindi & English

Exam Details

Detail	Information
Examination	ASST. PROF. (COLLEGE EDUCATION) 2020
Year	2020
Conducting Body	RPSC
Paper	Paper-II (Mathematics-II)
Subject	Mathematics
Duration	3.00 Hours
Maximum Marks	75
Number of Questions	150
Question Type	Objective (MCQ)

This is the official question paper for the Assistant Professor (College Education) examination 2020, Paper-II, conducted by RPSC. The paper focuses on Mathematics-II and contains 150 objective questions to be answered within 3.00 hours, with a maximum of 75 marks. This paper is crucial for candidates aspiring to secure a position as an Assistant Professor in Rajasthan's government colleges. Aspirants can use this paper to understand the exam pattern, difficulty level, and important topics covered in the RPSC recruitment process for Mathematics faculty.

Major Topics Covered

Mathematics
Partial Differential Equations
Hankel Transform
Calculus of Variations

Why This Paper is Important

Useful for ASST. PROF. (COLLEGE EDUCATION) 2020 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

ASST. PROF. (COLLEGE EDUCATION) 2020 Paper-I
RPSC Assistant Professor Mathematics Paper-I 2020
Previous RPSC Mathematics Question Papers
ASST. PROF. (COLLEGE EDUCATION) 2020 Mathematics-II Answer Key
RPSC Mathematics Paper II 2020 Solutions
RPSC Assistant Professor Mathematics Syllabus
Mathematics-II Syllabus for College Education
RPSC Assistant Professor Exam Pattern

Instructions

प्रत्येक प्रश्न का केवल एक ही उत्तर दीजिए ।
एक से अधिक उत्तर देने की दशा में प्रश्न के उत्तर को गलत माना जाएगा
प्रत्येक प्रश्न के चार वैकल्पिक उत्तर दिये गये हैं, जिन्हें क्रमश: 1, 2, 3, wrong answer. 4 अंकित किया गया है ।
अभ्यर्थी को सही उत्तर निर्दिष्ट करते हुए उनमें
Each question has four alternative responses marked serially as 1, 2, 3,
You have to darken only one circle or bubble से केवल एक गोले अथवा बबल को उत्तर पत्रक पर नीले बॉल indicating the correct answer on the Answer Sheet using BLUE प्वाइंट पेन से गहरा करना है । BALL POINT PEN.
OMR उत्तर पत्रक इस परीक्षा पुस्तिका के अन्दर रखा है । जब आपको The OMR Answer Sheet is inside this Test Booklet. When
परीक्षा पुस्तिका खोलने को कहा जाए, तो उत्तर पत्रक निकाल कर you are directed to open the Test Booklet, take out the ध्यान से केवल नीले बॉल पॉइंट पेन से विवरण भरें । Answer Sheet and fill in the particulars carefully with blue
प्रत्येक गलत उत्तर के लिए प्रश्न अंक का 1/3 भाग काटा जायेगा ।
गलत ball point pen only. उत्तर से तात्पर्य अशुद्ध उत्तर अथवा किसी भी प्रश्न के एक से अधिक
1/3 part of the mark(s) of each question will be उत्तर से है ।
किसी भी प्रश्न से संबंधित गोले या बबल को खाली छोड़ना deducted for each wrong answer. A wrong answer means an incorrect answer or more than one answers for any गलत उत्तर नहीं माना जायेगा । question. Leaving all the relevant circles or bubbles of any
मोबाइल फोन अथवा इलेक्ट्रोनिक यंत्र का परीक्षा होल में प्रयोग पूर्णतया question blank will not be considered as wrong answer. वर्जित है ।
यदि किसी अभ्यर्थी के पास ऐसी कोई वर्जित सामग्री Mobile Phone or any other electronic gadget in the
मिलती है तो उसके विरुद्ध आयोग द्वारा नियमानुसार कार्यवाही की examination hall is strictly prohibited. A candidate found जायेगी । with any of such objectionable material with him/her will be
कृपया अपना रोल नम्बर ओ.एम.आर. पत्रक पर सावधानीपूर्वक सही strictly dealt as per rules. भरें ।
गलत अथवा अपूर्ण रोल नम्बर भरने पर 5 अंक कुल प्राप्तांकों में Please correctly fill your Roll Number in O.M.R. Sheet.
से काटे जा सकते हैं। 5 Marks can be deducted for filling wrong or incomplete Roll
यदि किसी प्रश्न में किसी प्रकार की कोई मुद्रण या तथ्यात्मक प्रकार की Number. त्रुटि हो तो प्रश्न के हिन्दी तथा अंग्रेजी रूपान्तरों में से अंग्रेजी रूपान्तर
If there is any sort of ambiguity/mistake either of printing or factual nature then out of Hindi and English Version of the मान्य होगा । question, the English Version will be treated as standard. चेतावनी: अगर कोई अभ्यर्थी नकल करते पकड़ा जाता है या उसके पास Warning : If a candidate is found copying or if any unauthorized से कोई अनधिकृत सामग्री पाई जाती है, तो उस अभ्यर्थी के विरुद्ध पुलिस में material is found in his/her possession, F.I.R. would be lodged प्राथमिकी दर्ज कराते हुए विविध नियमों-प्रावधानों के तहत कार्यवाही की against him/her in the Police Station and he/she would liable to be जाएगी ।
साथ ही विभाग ऐसे अभ्यर्थी को मविष्य में होने वाली विभाग की prosecuted. Department may also debar him/her permanently समस्त परीक्षाओं से विवर्जित कर सकता है । from all future examinations. इस परीक्षा पुस्तिका को तब तक न खोलें जब तक कहा न जाए । Do not open this Test Booklet until you are asked to do so. 48 - 17

Only one answer is to be given for each question.
If more than one answers are marked, it would be treated as

Questions (page 2)

Q1. f(y) = 1/y काHankel रूपान्तर है

(1) p
(2) 1/p - p
(3) 1/p
(4) 1/p^2

Q2. समीकरण u_{xx} + u_{yy} + u_{zz} + u_{yz} + u_{zy} = 0 ऐसे वर्गीकृत है:

(1) Parabolic type
(2) Hyperbolic type
(3) Elliptic type
(4) None of these

Q3. फलन ∫_a^b (y + (y³)/(3)) dx का चरम मान है :

(1) y = 0
(2) x = 0
(3) y = ±1
(4) has no extremal

Q4. आंशिक अवकल समीकरण: x(y-x)r - (y²-x²)s + y(y-x)t + (y+x)(p-q) = 0 के लिये कौनसा सत्य है ?

(1) It is hyperbolic
(2) Its degree is two
(3) Its order is one
(4) All are true

Q5. आंशिक अवकल समीकरण: 2yq + y^2t = 1 का हल है

(1) xz = y log y - f(x) + yg(x)
(2) yz = y log y - f(x) + yg(x)
(3) z = x log y - yf(x) + g(x)
(4) xyz = log y + f(x) - yg(x)

Question paper preview

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Frequently asked questions

What is the full name of the exam?

The full name of the exam is ASST. PROF. (COLLEGE EDUCATION) 2020.

Which conducting body organized this exam?

This exam was conducted by RPSC (Rajasthan Public Service Commission).

What is the subject of Paper-II?

Paper-II is for Mathematics-II.

How many questions are there in the paper?

There are 150 questions in the booklet.

What is the maximum marks for this paper?

The maximum marks for this paper are 75.

What is the time duration allowed for the exam?

The time allowed for the exam is 3.00 Hours.

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