Q1. Which of the following sets is countable ?
- (1) केन्टर - टरनरी समुच्चय
- (2) अपरिमेय संख्याओं का समुच्चय
- (3) विवृत अन्तराल (0, 1) में वास्तविक संख्याओं का समुच्चय
- (4) समुच्चय left{rac{1}{2}, rac{2}{3}, rac{3}{4}, dots, rac{n}{n+1}, dots ight}
RPSC SET 2012 Mathematical Science Paper II Question Paper PDF
- Year 2012
- Conducted By RPSC
- Questions 50
- Maximum Marks 100
- Duration 1.25 Hours
- Languages Hindi & English
Exam Details
| Detail | Information |
|---|---|
| Examination | STATE ELIGIBILITY TEST |
| Year | 2012 |
| Conducting Body | RPSC |
| Paper | Mathematical Science - Paper-II |
| Subject | Mathematical Science |
| Duration | 1.25 Hours |
| Maximum Marks | 100 |
| Number of Questions | 50 |
| Question Type | Objective (MCQ) |
This is the official question paper for the RPSC SET 2012 examination, specifically Paper II for Mathematical Science. Conducted by RPSC, this paper consists of 50 objective questions to be answered within 1.25 hours, carrying a maximum of 100 marks. Aspirants preparing for the State Eligibility Test can use this paper to understand the exam pattern, difficulty level, and important topics covered in Mathematical Science. Practicing with previous year papers like this is crucial for effective exam preparation and improving performance.
Major Topics Covered
- Mathematical Science
- Set Theory
- Real Numbers
- Sequences and Series
- Limits
Why This Paper is Important
- Useful for STATE ELIGIBILITY TEST 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
- RPSC SET 2011 Mathematical Science Paper II
- RPSC SET 2013 Mathematical Science Paper II
- RPSC SET Mathematical Science Paper I
- RPSC SET Mathematical Science Paper III
- RPSC SET 2012 Mathematical Science Paper II Answer Key
- RPSC SET Mathematical Science Syllabus
- RPSC SET Exam Pattern
- RPSC SET
Instructions
- All questions carry equal marks. सभी प्रश्नों के अंक समान हैं ।
- प्रत्येक प्रश्न का केवल एक ही उत्तर दीजिए।
- If more than one answers are marked, it would एक से अधिक उत्तर देने की दशा में प्रश्न के उत्तर को गलत 4, be treated as wrong answer. माना जाएगा ।
- Each question has four alternative responses marked serially as 1, 2, 3,
- You have to darken प्रत्येक प्रश्न के चार वैकल्पिक उत्तर दिये गये हैं, जिन्हें क्रमशः the correct answer. 1, 2, 3, 4 अलित किया गया है।
- अभ्यर्थी सही उत्तर वाले ã
- There will be no negative marking for wrong गोलें को काला करें । answer. गलत उत्तर के लिए ऋणात्मक अंकन नहीं किया जाएगा ।
- Subject Code and Series Code on the Question प्रश्न–पत्र पुस्तिका एवं उत्तर पत्रक के लिफाफे की सील खोलने ‘
- Paper Booklet and Answer Sheet must be same पर परीक्षार्थी यह सुनिश्चित कर लें कि उसके अनुक्रमांक after opening the envelopes. In case they are प्रश्न–पत्र पुरितका एवं उत्तर पत्रक पर समान रूप से विषय different, a candidate must obtain another कोड एवं प्रश्न पुरितका की सीरीज अंकित है ।
- इसमें कोई Question Paper of the same series. Candidate भिन्नता हो तो वीक्षक से प्रश्न–पत्र की ही सीरीज वाला दूसरा himself shall be responsible for ensuring this,
- Mobile Phone or any other electronic gadget in प्रश्न~पत्र का लिफाफा प्राप्त कर लैं ।
- ऐसा न करने पर the examination hall is strictly prohibited. A जिम्मेदारी अभ्यर्थी की होगी । candidate found with any of such objectionable
- 'मोबाईल फोन अथवा इलेक्ट्रोनिक यंत्र का परीक्षा हॉल में material with him/her will be strictly dealt as per प्रयोग पूर्णतया दर्जित है।
- The candidate will be allowed to carry the carbon कोई बर्जित सामग्री मिलती है तो उसके विरुद्ध आयोग द्वारा print-out of OMR Response Sheet with them on नियमानुसार कार्यवाही की जायेगी। conclusion of the examination. अभ्यर्थी अपने साथ उत्तर पत्रक की संलग्न कार्बन प्रति अपने
- If there is any sort of ambiguity/mistake either साथ ले जा सकते हैं । of printing or factual nature then out of Hindi and English Version of the question, the English.
- यदि किसी प्रश्न में किसी प्रकार की कोई मूद्रण या तथ्यात्मक Version will be treated as standard. प्रकार की त्रुटि हो तो प्रश्न के हिन्दी तथा अंग्रेजी रूपान्तरों में से Warning: If a candidate is found copying or if अंग्रेजी रूपान्तर मान्य होगा । any unauthorised material is found in चेतावनी : अगर कोई अभ्यर्थी नकल करते पकड़ा जाता है या his/her possession, F.I.R. would be lodged against him/her in the Police उसके पास से कोई अनधिकृत सामग्री पाई जाती है, तो Station and he/she would liable to be उस अभ्यर्थी के विरुद्ध पुलिस में प्राथमिकी दर्ज कराई prosecuted under Section 3761 the. जायेगी और आर. पी. ई. (अनुचित साधनों की रोकथाम) R.P.E. (Prevention of Unfairmeans) अधिनियम, 1992 के नियम 3 के तहत कार्यवाही की Act,
- Commission may also जायेगी।
- साथ ही आयोग ऐसे अभ्यर्थी को भविष्य में होने debar him/her permanently from all वाली आयोग की समस्त परीक्षाओं से विवर्जित कर future examinations of the Commission. सकता है। 16 / MSPS2_A] [Contd. . TILLE AND AN THE TILL A 1.
- Only one answer is to be given for each question.
- The candidate should ensure that Roll Number,
Questions (page 2)
Q2. Let xn = egincases 1 + rac1n & extwhen n ext is even \ -1 - rac1n & extwhen n ext is odd endcases , then
- (1) lim_{n o infty} sup xn = lim_{n o infty} inf xn = 1
- (2) lim_{n o infty} sup xn = 1, lim_{n o infty} inf xn = -1
- (3) lim_{n o infty} sup xn = -1, lim_{n o infty} inf xn = 1
- (4) lim_{n o infty} sup xn = 2, lim_{n o infty} inf xn = 1.
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Frequently asked questions
What is the exam name and year?
The exam name is STATE ELIGIBILITY TEST, and the year is 2012.
Who is the conducting body for this exam?
The conducting body is RPSC.
What is the subject of this paper?
The subject is Mathematical Science.
What is the paper code?
The paper code is 16.
What is the total time allowed for the exam?
The time allowed is 1.25 Hours.
What are the maximum marks for this paper?
The maximum marks are 100.