Q1. If A and B are matrices of order 3 × 2 and matrix C is of order 2 × 3, then which of the following matrice is not defined?
- (a) A^T + C
- (b) B + C^T
- (c) A^T + B
- (d) A^T + B^T
Sr. Teacher Sanskrit Edu. 2022 Mathematics Paper II Question Paper PDF
- Year 2022
- Conducted By RPSC
- Questions 150
- Maximum Marks 10
- Duration 2:30 Hours
- Languages Hindi & English
Exam Details
| Detail | Information |
|---|---|
| Examination | Sr. Teacher (Sanskrit Edu.) Comp. Exam |
| Year | 2022 |
| Conducting Body | RPSC |
| Paper | Mathematics Paper - II |
| Subject | Mathematics |
| Duration | 2:30 Hours |
| Maximum Marks | 10 |
| Number of Questions | 150 |
| Question Type | Objective (MCQ) |
This is the official question paper for the Sr. Teacher (Sanskrit Edu.) Competition Exam 2022, Paper II, focusing on Mathematics. Conducted by RPSC, the exam allows 2 hours and 30 minutes to answer 150 objective questions, carrying a maximum of 300 marks. This paper is crucial for aspirants preparing for the Rajasthan Public Service Commission's teacher recruitment exams, offering a realistic assessment of their subject knowledge and problem-solving skills in Mathematics.
Major Topics Covered
- Mathematics
- Matrices
- Algebra
- Set Theory
- De Morgan's Laws
Why This Paper is Important
- Useful for Sr. Teacher (Sanskrit Edu.) Comp. Exam 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
- Sr. Teacher (Sanskrit Edu.) Comp. Exam 2022 - General Hindi Paper
- Sr. Teacher (Sanskrit Edu.) Comp. Exam 2022 - General Knowledge Paper
- RPSC Sr. Teacher Mathematics Previous Year Papers
- RPSC Mathematics Paper II Question Papers
- Sr. Teacher Sanskrit Edu. 2022 Mathematics Paper II Answer Key
- Sr. Teacher Sanskrit Edu. Mathematics Syllabus
- RPSC Sr. Teacher Exam Syllabus
- Mathematics Syllabus for Competitive Exams
Instructions
- प्रत्येक प्रश्न का मात्र एक ही उत्तर दीजिए ।
- एक से अधिक उत्तर देने की दशा में प्रश्न के उत्तर को गलत माना जाएगा । wrong answer.
- OMR उत्तर-पत्रक इस प्रश्न-पुस्तिका के अन्दर रखा है। जब आपको प्रश्न-
- The OMR Answer Sheet is inside this Question Booklet. When you are directed to open the Question Booklet, take पुस्तिका खोलने को कहा जाए, तो उत्तर-पत्रक निकाल कर ध्यान से केवल out the Answer Sheet and fill in the particulars carefully with नीले बॉल पॉइंट पेन से विवरण भरें । Blue Ball Point Pen only. कृपया अपना रोल नम्बर ओ.एम.आर. उत्तर-पत्रक पर सावधानीपूर्वक सही
- भरें। गलत रोल नम्बर भरने पर परीक्षार्थी स्वयं उत्तरदायी होगा । Sheet. Candidate will themself be responsible for filling wrong Roll No.
- प्रत्येक गलत उत्तर के लिए प्रश्न अंक का 1/3 भाग काटा जायेगा । गलत
- 1/3 part of the mark(s) of each question will be deducted उत्तर से तात्पर्य अशुद्ध उत्तर अथवा किसी भी प्रश्न के एक से अधिक उत्तर से है। for each wrong answer. A wrong answer means an incorrect प्रत्येक प्रश्न के चार वैकल्पिक उत्तर दिये गये हैं, जिन्हें क्रमश: 1, 2, 3, 4 answer or more than one answers for any question.
- अंकित किया गया है। अभ्यर्थी को सही उत्तर निर्दिष्ट करते हुए उनमें से केवल
- Each question has four alternative responses marked serially as 1, 2, 3,
- You have to darken only one circle or bubble एक गोले अथवा बबल को उत्तर-पत्रक पर नीले बॉल पॉइंट पेन से गहरा indicating the correct answer on the Answer Sheet using Blue करना है। Ball Point Pen.
- यदि किसी प्रश्न में किसी प्रकार की कोई मुद्रण या तथ्यात्मक प्रकार की बुटि हो
- If there is any sort of ambiguity/ mistake either of printing or factual nature then out of Hindi and English Version of the तो प्रश्न के हिन्दी तथा अंग्रेजी रूपान्तरों में से अंग्रेजी रूपान्तर मान्य होगा । question, the English Version will be treated as standard.
- मोबाइल फोन अथवा इलेक्ट्रोनिक यंत्र का परीक्षा हॉल में प्रयोग पूर्णतया
- Mobile Phone or any other electronic gadget in the वर्जित है।
- यदि किसी अभ्यर्थी के पास ऐसी कोई वर्जित सामग्री मिलती है examination hall is strictly prohibited. A candidate found with any of such objectionable material with him/her will be तो उसके विरुद्ध आयोग द्वारा नियमानुसार कार्यवाही की जायेगी । strictly dealt as per rules. चेतावनी : अगर कोई अभ्यर्थी नकल करते पकड़ा जाता है या उसके पास से कोई Warning : If a candidate is found copying or if any unauthorized अनधिकृत सामग्री पाई जाती है, तो उस अभ्यर्थी के विरुद्ध पुलिस में प्राथमिकी दर्ज कराते हुए material is found in his/her possession, F.I.R. would be lodged राजस्थान सार्वजनिक परीक्षा (अनुचित साधनों की रोकथाम) अधिनियम, against him/her in the Police Station and he/she would liable to be prosecuted under Rajasthan Public Examination (Prevention 2022 तथा अन्य प्रभावी कानून एवं आयोग के नियमों-प्रावधानों के तहत of Unfair means) Act, 2022 & any other law applicable and कार्यवाही की जाएगी ।
- साथ ही आयोग ऐसे अभ्यर्थी को भविष्य में होने वाली आयोग की Commission's Rules-Regulations. Commission may also समस्त परीक्षाओं से विवर्जित कर सकता है । debar him/her permanently from all future examinations. उत्तर-पत्रक में दो प्रतियाँ हैं – मूल प्रति और कार्बन प्रति, परीक्षा समाप्ति पर परीक्षा करने पूरी परीक्षार्थी उत्तर-पत्रक की दोनों प्रतियाँ वीक्षक को सौंपेंगे, परीक्षार्थी स्वयं कार्बन प्रति अलग नहीं करें ।
- वीक्षक उत्तर-पत्रक की मूल प्रति को अपने पास जमा कर, कार्बन प्रति को मूल प्रति से कट लाइन से मोड़ कर सावधानीपूर्वक अलग कर परीक्षार्थी को सौंपेंगे ।
- परीक्षार्थी कार्बन प्रति को अपने साथ ले जायेंगे । 07 - 12 8
- Only one answer is to be given for each question.
- If more than one answers are marked, it would be treated as
- Please correctly fill your Roll Number in O.M.R. Answer
Questions (page 2)
Q2. If \beginvmatrix x + 1 & 3 & 5 \ 2 & x + 2 & 5 \ 2 & 3 & x + 4 \endvmatrix = 0, then values of x are equal to
- (a) 1, 9
- (b) -1, 9
- (c) 1, -9
- (d) -1, -9
Q3. If A = \beginbmatrix 1 & 2 \ 2 & 3 \endbmatrix and A2 - kA - I2 = 0, then k is equal to
- (a) 4
- (b) -4
- (c) 2
- (d) 1
Q4.
Values of K for which following system of equations has non trivial solution, will be
x + Ky + 3z = 0
Kx + 2y + 2z = 0
2x + 3y + 4z = 0
- (a) K = -2, -(5/4)
- (b) K = (5/4), 2
- (c) K = (5/2), -2
- (d) K = 1/4, (5/4)
Q5. If P(X) is the power set of X = \{0, \phi, \\phi\\}, then incorrect statement is
- (a) \phi ∈ P(X)
- (b) \phi ∈ P(X)
- (c) {\\phi\} ∈ P(X)
- (d) 0 ∈ P(X)
Q6. Which of the following is not De' Morgan's law?
- (a) (A ∪ A)c = Ac
- (b) (A ∪ B ∪ C)c = (Ac ∩ Bc ∩ Cc)
- (c) (A ∩ B)c = (Ac ∪ Bc)
- (d) (A ∪ B)c = (Ac ∪ Bc)
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Frequently asked questions
What is the full name of the exam?
The full name of the exam is Sr. Teacher (Sanskrit Edu.) Competition Exam.
Which year is this question paper from?
This question paper is from the year 2022.
Who conducts the Sr. Teacher (Sanskrit Edu.) Competition Exam?
The exam is conducted by RPSC (Rajasthan Public Service Commission).
What is the subject of this paper?
This paper is for the subject of Mathematics, specifically Paper II.
What is the maximum marks for this paper?
The maximum marks for this paper are 300.
What is the time duration allowed for the exam?
The time allowed for the exam is 2 hours and 30 minutes.