CSIR Mathematical Sciences Past Paper February 2022 PDF

CSIR MATHEMATICAL SCIENCES Topic:‐ 704_PARTA_CSIR_FEB22_SET1 1) PART A Section A has 24 students. If one student of this section is exchanged for another in section B, then the average mark of A is increased by 1.25, while that of B reduced by 1. The number of students in s...

CSIR MATHEMATICAL SCIENCES Topic:‐ 704_PARTA_CSIR_FEB22_SET1 1) PART A Section A has 24 students. If one student of this section is exchanged for another in section B, then the average mark of A is increased by 1.25, while that of B reduced by 1. The number of students in section B is से शन A म 24 िव ाथ ह. यिद से शन A के एक िव ाथ क से शन B के एक िव ाथ से अदला‐बदली कर दी जाये तो से शन A के औसत अंक म 1.25 क वृि होगी जबिक से शन B के औसत अंक म 1 क कमी. से शन B के िव ािथय क सं या है [Question ID = 21][Question Description = 101_561_GAP6__Q01] 1. 16 [Option ID = 81] 2. 20 [Option ID = 82] 3. 25 [Option ID = 83] 4. 30 [Option ID = 84] 2) PART A The square of a two digit number, with non‐zero digits, is the number itself preceded by the digit C. Then C is दो अंको वाली एक सं या, िजसका कोई भी अंक शू य नह है, का वग , अंक C के प ात् वही दो अंको क सं या ही है. तब अंक C है [Question ID = 22][Question Description = 102_561_GAP6__Q02] 1. 1 [Option ID = 85] 2. 2 [Option ID = 86] 3. 4 [Option ID = 87] 4. 6 [Option ID = 88] 3) PART A A and B have coins of Rs.1, Rs. 2, Rs. 5 and Rs. 10, in the ratio 4:3:6:2 and 3:5:7:3, respectively. A has Rs.6/‐ more than B. Which of the following can be the number of coins with A and B, respectively? मू य 1., 2., 5. व 10. के कुछ िस के 4:3:6:2 के अनुपात म A के पास तथा 3:5:7:3 के अनुपात म B के पास ह. इस तरह, A के पास क रािश B से 6 अिधक है िदए गए िवक प म से कौनसा एक िवक प, कमशः A व B के पास के िस क क सं या हो सकती है? [Question ID = 23][Question Description = 103_561_GAP6__Q03] 1. 42, 36 [Option ID = 89] 2. 45, 54 [Option ID = 90] 3. 60, 54 [Option ID = 91] 4. 60, 72 [Option ID = 92] 4) PART A Six indistinguishable balls are to be distributed amongst A, B and C, such that each gets at least one. Then the number of ways to make this distribution is छः अिवभे गद को A, B, C म इस तरह बांटा जाना है िक प येक को कम से कम एक गद िमले ऐसा िवतरण कर पाने के तरीक क सं या है [Question ID = 24][Question Description = 104_561_GAP6__Q04] 1. 6 [Option ID = 93] 2. 10 [Option ID = 94] 3. 18 [Option ID = 95] 4. 15 [Option ID = 96] 5) PART A A book has 40 pages and each page has x lines. If the number of lines were reduced by 2 in each page, the number of pages would increase by 10 for the identical text. What is the value of x? एक पु तक म 40 पृ ह और प येक पृ म x पंि याँ ह. यिद प येक पृ पर से दो पंि य को कम कर िदया जाये तो उसी मूलपाठ के िलए पृ क सं या 10 अिधक होगी x का मान या है? [Question ID = 25][Question Description = 105_561_GAP6__Q05] 1. 7 [Option ID = 97] 2. 10 [Option ID = 98] 3. 20 [Option ID = 99] 4. 30 [Option ID = 100] 6) PART A [Question ID = 26][Question Description = 106_561_GAP6__Q06] 1. Nutrients do not have any role in cell growth. कोिशका िवकास म पोषक त व क कोई भूिमका नह है [Option ID = 101] 2. There is a linear increase in cell abundance at low nutrient concentrations. पौि क त व क कम सांदताओं पर कोिशका क पचुरता म वृि सरल रेखीय है [Option ID = 102] 3. Cell abundance was limited by the availability of nutrients but a high nutrient concentration seems toxic for the bacteria. पोषक त व क उपल धता से कोिशका पचुरता (Cell abundance) सीिमत होती है िक तु पोषक त व क सांदता जीवाणु के िलए िवष समान है [Option ID = 103] 4. Cell abundance decreased rapidly once nutrient concentration reached 5 µ mol L‐1. पोषक त व क सांदता 5 μ मोल/ली से अिधक होने पर कोिशका पचुरता का हास तेजी से हआ [Option ID = 104] 7) PART A [Question ID = 27][Question Description = 107_561_GAP6__Q07] 1. [Option ID = 105] 2. [Option ID = 106] 3. [Option ID = 107] 4. [Option ID = 108] 8) PART A Six persons P,Q,R,S,T and U sit around a ciruclar table with equal distance between neighbours. P is to the immediate left of R. T and S do not sit next to each other, and T and R are diametrically opposite to each other. Which of the following is NOT possible? एक वृ ाकार टेबल के चार ओर छः यि P, Q,R,S,T, व U इस तरह बैठे ह तािक िनकटतम पड़ोिसय के बीच समान दूरी हो P क ि तिथ R के ठीक बाय है T व S एक दूसरे के ठीक पास नह बैठे ह, तथा T व R एक दूसरे के ठीक िवपरीत यासा मक ि थित म बैठे ह नीचे िदये गये िवक प म से कौन सा संभव नह है? [Question ID = 28][Question Description = 108_561_GAP6__Q08] 1. Q and P are sitting diametrically opposite to each other Q व P एक दूसरे के ठीक िवपरीत यासा मक ि थित म बैठे ह [Option ID = 109] 2. P and U are sitting diametrically opposite to each other P व U एक दूसरे के ठीक िवपरीत यासा मक ि थित म बैठे ह [Option ID = 110] 3. S and T are sitting diametrically opposite to each other S व T एक दूसरे के ठीक िवपरीत यासा मक ि थित म बैठे ह [Option ID = 111] 4. S and Q are sitting diametrically opposite to each other S व Q एक दूसरे के ठीक िवपरीत यासा मक ि थित म बैठे ह [Option ID = 112] 9) PART A The number of dates between 1st January 2000 and 31st December 2020 when written in the format DDMMYYYY that read the same from left to right and right to left (e.g. 12th February 2021) is यिद तारीख को DDMMYYYY के प म िलखा जाये तो 1 जनवरी 2000 व 31 िदसंबर 2020 के म य आने वाली उन तारीखे क सं या िकतनी है जो िक बाय से दाय, या दाय से बाय पढ़ने पर समान ह (जैसे िक 12 फरवरी 2021)? [Question ID = 29][Question Description = 109_561_GAP6__Q09] 1. 6 [Option ID = 113] 2. 7 [Option ID = 114] 3. 20 [Option ID = 115] 4. 21 [Option ID = 116] 10) PART A [Question ID = 30][Question Description = 110_561_GAP6__Q10] 1. 200/4 [Option ID = 117] 2. 100/3 [Option ID = 118] 3. 900/7 [Option ID = 119] 4. 300/2 [Option ID = 120] 11) PART A [Question ID = 31][Question Description = 111_561_GAP6__Q11] 1. [Option ID = 121] 2. [Option ID = 122] 3.  [Option ID = 123] 4. [Option ID = 124] 12) PART A A piece in a board game starts at the centre of the board having 5x5 squares. The piece can be moved one square horizontally or vertically in one move. If all its moves are rnadom, the chance that it will be in one of the outer squares at the end of 2 move is एक 5x5 वग खान वाले बोड के खेल म एक पासा बोड के कद से शु करता है एक चाल म पासे को िसफ एक ही वग खाना, ैितज या खड़ी िदशा म, चलाया जा सकता है यिद सभी चाल या ि छक प से ह तो 2 चाल के प ात् पासे क , बा वग खान म से िकसी एक म होने क , स भावना है [Question ID = 32][Question Description = 112_561_GAP6__Q12] 1. 1/4 [Option ID = 125] 2. 2/3 [Option ID = 126] 3. 16/25 [Option ID = 127] 4. 1/2 [Option ID = 128] 13) PART A An appropriate Venn diagram to represent the relationships between the categories 'inflammable substance', 'water', 'petrol' and 'liquid' is वग करण ' वलनशील पदाथ', 'पानी', 'पेटोल', और 'दव ' के म य स ब धो को दशाता उपयु वेन का िचत है [Question ID = 33][Question Description = 113_561_GAP6__Q13] 1. [Option ID = 129] 2. [Option ID = 130] 3. [Option ID = 131] 4. [Option ID = 132] 14) PART A Machine A cuts rods whose mean length is 10 cm with a standard deviation of 3 mm. Machine B cuts rods of the mean length 20 cm with a standard deviation of 4 mm. Rods of 30 cm mean length are made, each by joining one rod from each machine. The standard deviation in the length of the joined rod is मशीन A ारा काटी गयी छड़ क मा य ल बाई 10 सेमी व मानक िवचलन 3 िममी है मशीन B ारा काटी गयी छड़ क मा य ल बाई 20 सेमी व मानक िवचलन 4 िममी है मा य ल बाई 30 सेमी प येक क छड़, इन दोन मशीन से बनी एक‐एक छड़ को आपस म जोड़ कर बनाई गयी ह. जोड़ कर बनाई गयी छड़ का मानक िवचलन है [Question ID = 34][Question Description = 114_561_GAP6__Q14] 1. 10 mm  10 िममी [Option ID = 133] 2. 7 mm 7 िममी [Option ID = 134] 3. 5 mm 5 िममी [Option ID = 135] 4. 3.5 mm 3.5 िममी [Option ID = 136] 15) PART A If all the planets in our solar system were to move in the same plane, it would necessarily imply that यिद हमारे सौर मंडल के सभी गह एक ही तल म गितमान होते तो आव यक प से इसका ता पय होता िक [Question ID = 35][Question Description = 115_561_GAP6__Q15] 1. The Sun is at the center of the solar system सूय सौर मंडल के कद म है [Option ID = 137] 2. The visible planets will appear aligned along a straight line in the sky as seen from the earth पृ वी से देखने पर सभी य गह आकाश म एक सीधी रेखा म पतीत ह गे [Option ID = 138] 3. Motion of planets is governed by Newton's law of gravity गह क गित यूटन के गु वाकषण के िनयमानुसार है [Option ID = 139] 4. The radii of the orbits of the planets are in harmonic progression गह के क क ित याएँ हरा मक (हाम िनक) शण े ीमह [Option ID = 140] 16) PART A An experiment is done to count the number of small grains that make up a level scoop, taking adequate precautions. If the measurements are repeated several times, which of the following frequency distributions is the most unlikely to occur? पया सावधािनयां रखते हए एक पयोग िकया जाता है िजसम अनाज के छोटे दान से िसरे तक भरे हए म एक डोल ( कूप) म दान क सं या (number of grains) िगनी जाती है यिद डोल को कई बार इसी तरह भर कर दान क सं या हर बार िगनी जाये तो िदये गये आवृित (Frequency) िवतरण म से कौन से िवतरण के नह होने क संभावना सवािधक है? [Question ID = 36][Question Description = 116_561_GAP6__Q16] 1. [Option ID = 141] 2. [Option ID = 142] 3. [Option ID = 143] 4. [Option ID = 144] 17) PART A Two windows of a building are exactly one above the other and their lower edges are 2m and 4m above the ground. The angle of elevation of the bird from the lower edge of the lower window is 60o and that from the lower edge of the upper window is 30o. How high is the bird above the ground? िकसी ईमारत क दो िखड़िकयां ठीक एक दूसरे के ऊपर ह और उनक िनचली धार धरातल से 2 मी व 4 मी ऊपर ह एक िचिड़या का िनचली िखड़क क िनचली धार से उ नयन कोण 60° तथा ऊपरी िखड़क क िनचली धार से यही कोण 30° है समतल धरातल से यह िचिड़या िकतना ऊंची उड़ रही है? [Question ID = 37][Question Description = 117_561_GAP6__Q17] 1. 5 m 5 मी [Option ID = 145] 2. 8 m 8 मी [Option ID = 146] 3. 10 m 10 मी [Option ID = 147] 4. 15 m 15 मी [Option ID = 148] 18) PART A At a particular location, a mobile app shows that there are 6, 13, 28 and 50 infected persons with radii of 1, 2, 3 and 4 km, respectively. Within which radius is the density of infected persons the largest? एक थान िवशेष पर एक मोबाइल ऍप 1, 2, 3 व 4 िकमी ित याओं के दायरे म कमशः 6, 13, 28 व 50 संकिमत यि य को दशाता है िकस ित या म संकिमत यि यो का घन व सवािधक है? [Question ID = 38][Question Description = 118_561_GAP6__Q18] 1. 1 km 1 िकमी [Option ID = 149] 2. 2 km 2 िकमी [Option ID = 150] 3. 3 km 3 िकमी [Option ID = 151] 4. 4 km 4 िकमी [Option ID = 152] 19) PART A Water from a completely filled cylindrical jar is poured into smaller cylindrical jars having 1/10th of its diameter but same height. How many smaller jars can be completely filled with water? पानी से पूरे भरे एक बेलनाकार जार का पानी, छोटे बेलनाकार जार म उंडेला जाता है िजनक ऊँचाई तो बड़े जार के समान है पर यास, बड़े जार का, 1 /10 ही है. छोटे जार क सं या, जो िक पानी से पूरे भरे जा सकते ह, िकतनी है? [Question ID = 39][Question Description = 119_561_GAP6__Q19] 1. 10 [Option ID = 153] 2. 31 [Option ID = 154] 3. 100 [Option ID = 155] 4. 314 [Option ID = 156] 20) PART A [Question ID = 40][Question Description = 120_561_GAP6__Q20] 1. [Option ID = 157] 2. [Option ID = 158] 3. [Option ID = 159] 4. [Option ID = 160] Topic:‐ 704_PARTB_Set1_21‐32 1) UNIT 1 [Question ID = 469][Question Description = 101_554_MSCB__Q01] 1. [Option ID = 1873] 2. [Option ID = 1874] 3. [Option ID = 1875] 4. [Option ID = 1876] 2) UNIT 1 [Question ID = 470][Question Description = 102_554_MSCB__Q02] 1. is equal to 0 शूनय् के बराबर है [Option ID = 1877] 2. is equal to 1  के बराबर है [Option ID = 1878] 3. is equal to 2 के बराबर है [Option ID = 1879] 4. does not exist मौजूद नह है [Option ID = 1880] 3) UNIT 1 [Question ID = 471][Question Description = 103_554_MSCB__Q03] 1. [Option ID = 1881] 2. [Option ID = 1882] 3. [Option ID = 1883] 4. [Option ID = 1884] 4) UNIT 1 Which of the following sets are countable? िनम्न म से कौन से समुच्चय गणनीय है? [Question ID = 472][Question Description = 104_554_MSCB__Q04] 1. The set of all polynomials with rational coefficients प रमेय गुणांक वाले सभी बहपद का समुच्चय [Option ID = 1885] 2. The set of all polynomials with real coefficients having rational roots प रमेय मूल वाले वास्तिवक गुणांको को रखने वाले सभी बहपद का समुच्चय [Option ID = 1886] 3. The set of all 2×2 real matrices with rational eigenvalues प रमेय अिभल िणक मान वाले सभी वास्तिवक आव्यूह का समुच्चय [Option ID = 1887] 4. The set of all real matrices whose row echelon form has rational entries िजनके पंि सोपानक प म प रमेय पिवि यां हो, ऐसे सभी आव्यूह का समुच्चय [Option ID = 1888] 5) UNIT 1 [Question ID = 473][Question Description = 105_554_MSCB__Q05] 1. [Option ID = 1889] 2. [Option ID = 1890] 3. [Option ID = 1891] 4. [Option ID = 1892] 6) UNIT 1 [Question ID = 474][Question Description = 106_554_MSCB__Q06] 1. [Option ID = 1893] 2. [Option ID = 1894] 3. [Option ID = 1895] 4. [Option ID = 1896] 7) UNIT 1 [Question ID = 475][Question Description = 107_554_MSCB__Q07] 1. [Option ID = 1897] 2. [Option ID = 1898] 3. [Option ID = 1899] 4. [Option ID = 1900] 8) UNIT 1 [Question ID = 476][Question Description = 108_554_MSCB__Q08] 1. [Option ID = 1901] 2. [Option ID = 1902] 3. [Option ID = 1903] 4. [Option ID = 1904] 9) UNIT 1 [Question ID = 477][Question Description = 109_554_MSCB__Q09] 1. [Option ID = 1905] 2. [Option ID = 1906] 3. [Option ID = 1907] 4. [Option ID = 1908] 10) UNIT 1 [Question ID = 478][Question Description = 110_554_MSCB__Q10] 1. [Option ID = 1909] 2. [Option ID = 1910] 3. [Option ID = 1911] 4. [Option ID = 1912] 11) UNIT 1 [Question ID = 479][Question Description = 111_554_MSCB__Q11] 1. [Option ID = 1913] 2. [Option ID = 1914] 3. [Option ID = 1915] 4. [Option ID = 1916] 12) UNIT 1 [Question ID = 480][Question Description = 112_554_MSCB__Q12] 1. [Option ID = 1917] 2. [Option ID = 1918] 3. [Option ID = 1919] 4. [Option ID = 1920] Topic:‐ 704_PARTB_Set1_33‐40 1) UNIT‐2 [Question ID = 481][Question Description = 113_554_MSCB__Q13] 1. [Option ID = 1921] 2. [Option ID = 1922] 3. [Option ID = 1923] 4. [Option ID = 1924] 2) UNIT‐ 2 [Question ID = 482][Question Description = 114_554_MSCB__Q14] 1. [Option ID = 1925] 2. [Option ID = 1926] 3. [Option ID = 1927] 4. [Option ID = 1928] 3) UNIT‐ 2 [Question ID = 483][Question Description = 115_554_MSCB__Q15] 1. 0 [Option ID = 1929] 2. 1 [Option ID = 1930] 3. 2 [Option ID = 1931] 4. [Option ID = 1932] 4) UNIT‐ 2 [Question ID = 484][Question Description = 116_554_MSCB__Q16] 1. [Option ID = 1933] 2. [Option ID = 1934] 3. [Option ID = 1935] 4. [Option ID = 1936] 5) UNIT‐ 2 [Question ID = 485][Question Description = 117_554_MSCB__Q17] 1. 639 [Option ID = 1937] 2. 648 [Option ID = 1938] 3. 666 [Option ID = 1939] 4. 990 [Option ID = 1940] 6) UNIT‐ 2 How many generators does a cyclic group of order 36 have? कोिट (order) 36 के चकीय समूह के िकतने जिनत ह ग? [Question ID = 486][Question Description = 118_554_MSCB__Q18] 1. 6 [Option ID = 1941] 2. 12 [Option ID = 1942] 3. 18 [Option ID = 1943] 4. 24 [Option ID = 1944] 7) UNIT‐2 [Question ID = 487][Question Description = 119_554_MSCB__Q19] 1. [Option ID = 1945] 2. [Option ID = 1946] 3. [Option ID = 1947] 4. [Option ID = 1948] 8) UNIT 2 [Question ID = 488][Question Description = 120_554_MSCB__Q20] 1. [Option ID = 1949] 2. [Option ID = 1950] 3. [Option ID = 1951] 4. [Option ID = 1952] Topic:‐ 704_PARTB_Set1_41‐48 1) UNIT ‐3 [Question ID = 489][Question Description = 121_554_MSCB__Q21] 1. 1/24 [Option ID = 1953] 2. 1/12 [Option ID = 1954] 3. 1/6 [Option ID = 1955] 4. 1/2 [Option ID = 1956] 2) UNIT ‐3 [Question ID = 490][Question Description = 122_554_MSCB__Q22] 1. Both (I) and (II) are true (I) तथा (II) दोन सत्य ह [Option ID = 1957] 2. (I) is true but (II) is false (I) सत्य है, लेिकन (II) असत्य है [Option ID = 1958] 3. Both (I) and (II) are false (I) तथा (II) दोन असत्य ह [Option ID = 1959] 4. (I) is false but (II) is true (I) असत्य है, लेिकन (II) सत्य है [Option ID = 1960] 3) UNIT ‐3 [Question ID = 491][Question Description = 123_554_MSCB__Q23] 1. [Option ID = 1961] 2. [Option ID = 1962] 3. [Option ID = 1963] 4. [Option ID = 1964] 4) UNIT ‐3 [Question ID = 492][Question Description = 124_554_MSCB__Q24] 1. [Option ID = 1965] 2. [Option ID = 1966] 3. [Option ID = 1967] 4. [Option ID = 1968] 5) UNIT ‐3 [Question ID = 493][Question Description = 125_554_MSCB__Q25] 1. [Option ID = 1969] 2. [Option ID = 1970] 3. [Option ID = 1971] 4. [Option ID = 1972] 6) UNIT ‐3 [Question ID = 494][Question Description = 126_554_MSCB__Q26] 1. [Option ID = 1973] 2. [Option ID = 1974] 3. [Option ID = 1975] 4. [Option ID = 1976] 7) UNIT ‐3 [Question ID = 495][Question Description = 127_554_MSCB__Q27] 1. 4 [Option ID = 1977] 2. 3 [Option ID = 1978] 3. 2 [Option ID = 1979] 4. 1 [Option ID = 1980] 8) UNIT ‐3 A body moves freely in a uniform gravitational field. Which of the following statements is true? कोई िपंड एक–समान गु त्व बल के पभाव म स्वतंत गित करता है िनम्न म से कौन सा व य सत्य है? [Question ID = 496][Question Description = 128_554_MSCB__Q28] 1. Stable equilibrium of the body is possible िपंड का स्थायी साम्य कथन संभव है [Option ID = 1981] 2. Stable equilibrium of the body is not possible िपंड का स्थायी साम्य कथन संभव नह है [Option ID = 1982] 3. Stable equilibrium of the body depends on the strength of the field िपंड का स्थायी साम्य कथन त े क पबलता पर िनभर करता है [Option ID = 1983] 4. Equilibrium is metastable साम्य िमत स्थायी (metastable) है [Option ID = 1984] Topic:‐ 704_PARTB_Set1_49‐60 1) UNIT ‐3 [Question ID = 497][Question Description = 129_554_MSCB__Q29] 1. [Option ID = 1985] 2. [Option ID = 1986] 3. [Option ID = 1987] 4. [Option ID = 1988] 2) UNIT ‐4 [Question ID = 498][Question Description = 130_554_MSCB__Q30] 1. [Option ID = 1989] 2. [Option ID = 1990] 3. [Option ID = 1991] 4. [Option ID = 1992] 3) UNIT ‐4 [Question ID = 499][Question Description = 131_554_MSCB__Q31] 1. State 1 has period 2 अवस्था‐ 1 आवत (period)1 है [Option ID = 1993] 2. State 2 is recurrent अवस्था‐ 2 पुनरावत (recurrent) है [Option ID = 1994] 3. State 3 is transient अवस्था‐ 3 अल्पस्थायी (transient) है [Option ID = 1995] 4. The chain admits at least two stationary distributions शृखंला के िलए कम से कम दो ि थर (stationary) बंटन है [Option ID = 1996] 4) UNIT ‐4 [Question ID = 500][Question Description = 132_554_MSCB__Q32] 1. [Option ID = 1997] 2. [Option ID = 1998] 3. [Option ID = 1999] 4. [Option ID = 2000] 5) UNIT ‐4 [Question ID = 501][Question Description = 133_554_MSCB__Q33] 1. [Option ID = 2001] 2. [Option ID = 2002] 3. [Option ID = 2003] 4. [Option ID = 2004] 6) UNIT ‐4 [Question ID = 502][Question Description = 134_554_MSCB__Q34] 1. [Option ID = 2005] 2. [Option ID = 2006] 3. [Option ID = 2007] 4. [Option ID = 2008] 7) UNIT ‐4 [Question ID = 503][Question Description = 135_554_MSCB__Q35] 1. Wilcoxon signed rank test िवल्काक्सन िचि हत कोिट (रक) परी ण [Option ID = 2009] 2. Sign test िचन्ह (साईन) परी ण [Option ID = 2010] 3. [Option ID = 2011] 4. Kolmogorov‐Smirnov test काल्मोगोरोव‐ि मरनोव परी ण [Option ID = 2012] 8) UNIT ‐4 [Question ID = 504][Question Description = 136_554_MSCB__Q36] 1. [Option ID = 2013] 2. [Option ID = 2014] 3. [Option ID = 2015] 4. [Option ID = 2016] 9) UNIT ‐4 [Question ID = 505][Question Description = 137_554_MSCB__Q37] 1. [Option ID = 2017] 2. [Option ID = 2018] 3. [Option ID = 2019] 4. [Option ID = 2020] 10) UNIT ‐4 [Question ID = 506][Question Description = 138_554_MSCB__Q38] 1. [Option ID = 2021] 2. [Option ID = 2022] 3. [Option ID = 2023] 4. [Option ID = 2024] 11) UNIT ‐4 [Question ID = 507][Question Description = 139_554_MSCB__Q39] 1. [Option ID = 2025] 2. [Option ID = 2026] 3. [Option ID = 2027] 4. [Option ID = 2028] 12) UNIT ‐4 [Question ID = 508][Question Description = 140_554_MSCB__Q40] 1. [Option ID = 2029] 2. [Option ID = 2030] 3. [Option ID = 2031] 4. [Option ID = 2032] Topic:‐ 704_PARTC_Set1_61‐78 1) UNIT‐ 1 [Question ID = 509][Question Description = 101_555_MSCC__Q01] 1. [Option ID = 2033] 2. [Option ID = 2034] 3. [Option ID = 2035] 4. [Option ID = 2036] 2) UNIT‐ 1 [Question ID = 510][Question Description = 102_555_MSCC__Q02] 1. [Option ID = 2037] 2.  [Option ID = 2038] 3. [Option ID = 2039] 4. [Option ID = 2040] 3) UNIT‐ 1 [Question ID = 511][Question Description = 103_555_MSCC__Q03] 1. [Option ID = 2041] 2. [Option ID = 2042] 3. [Option ID = 2043] 4. [Option ID = 2044] 4) UNIT‐ 1 [Question ID = 512][Question Description = 104_555_MSCC__Q04] 1. [Option ID = 2045] 2. [Option ID = 2046] 3. [Option ID = 2047] 4. [Option ID = 2048] 5) UNIT‐ 1 [Question ID = 513][Question Description = 105_555_MSCC__Q05] 1.  [Option ID = 2049] 2. [Option ID = 2050] 3. [Option ID = 2051] 4. [Option ID = 2052] 6) UNIT‐ 1 [Question ID = 514][Question Description = 106_555_MSCC__Q06] 1. [Option ID = 2053] 2. [Option ID = 2054] 3. [Option ID = 2055] 4. [Option ID = 2056] 7) UNIT‐ 1 [Question ID = 515][Question Description = 107_555_MSCC__Q07] 1. [Option ID = 2057] 2. [Option ID = 2058] 3. [Option ID = 2059] 4.  [Option ID = 2060] 8) UNIT‐ 1 [Question ID = 516][Question Description = 108_555_MSCC__Q08] 1. [Option ID = 2061] 2. [Option ID = 2062] 3. [Option ID = 2063] 4. [Option ID = 2064] 9) UNIT‐ 1 [Question ID = 517][Question Description = 109_555_MSCC__Q09] 1. [Option ID = 2065] 2. [Option ID = 2066] 3. [Option ID = 2067] 4. [Option ID = 2068] 10) UNIT‐ 1 [Question ID = 518][Question Description = 110_555_MSCC__Q10] 1. [Option ID = 2069] 2. [Option ID = 2070] 3. [Option ID = 2071] 4. [Option ID = 2072] 11) UNIT‐ 1 [Question ID = 519][Question Description = 111_555_MSCC__Q11] 1. [Option ID = 2073] 2. [Option ID = 2074] 3. [Option ID = 2075] 4. [Option ID = 2076] 12) UNIT‐ 1 [Question ID = 520][Question Description = 112_555_MSCC__Q12] 1. [Option ID = 2077] 2. [Option ID = 2078] 3. [Option ID = 2079] 4. [Option ID = 2080] 13) UNIT‐ 1 [Question ID = 521][Question Description = 113_555_MSCC__Q13] 1. [Option ID = 2081] 2. [Option ID = 2082] 3. [Option ID = 2083] 4. [Option ID = 2084] 14) UNIT‐ 1 [Question ID = 522][Question Description = 114_555_MSCC__Q14] 1. [Option ID = 2085] 2. [Option ID = 2086] 3. [Option ID = 2087] 4. [Option ID = 2088] 15) UNIT‐ 1 [Question ID = 523][Question Description = 115_555_MSCC__Q15] 1. [Option ID = 2089] 2. [Option ID = 2090] 3. [Option ID = 2091] 4. [Option ID = 2092] 16) UNIT‐ 1 [Question ID = 524][Question Description = 116_555_MSCC__Q16] 1. [Option ID = 2093] 2. [Option ID = 2094] 3. [Option ID = 2095] 4. [Option ID = 2096] 17) UNIT‐ 1 [Question ID = 525][Question Description = 117_555_MSCC__Q17] 1. [Option ID = 2097] 2. [Option ID = 2098] 3.  [Option ID = 2099] 4. [Option ID = 2100] 18) UNIT‐ 1 [Question ID = 526][Question Description = 118_555_MSCC__Q18] 1. 1 [Option ID = 2101] 2. [Option ID = 2102] 3. ‐1 [Option ID = 2103] 4. ‐2 [Option ID = 2104] Topic:‐ 704_PARTC_Set1_79‐90 1) UNIT ‐2 [Question ID = 527][Question Description = 119_555_MSCC__Q19] 1. [Option ID = 2105] 2. [Option ID = 2106] 3. [Option ID = 2107] 4. [Option ID = 2108] 2) UNIT ‐2 [Question ID = 528][Question Description = 120_555_MSCC__Q20] 1. [Option ID = 2109] 2. [Option ID = 2110] 3. [Option ID = 2111] 4. [Option ID = 2112] 3) UNIT ‐2 [Question ID = 529][Question Description = 121_555_MSCC__Q21] 1. [Option ID = 2113] 2. [Option ID = 2114] 3. [Option ID = 2115] 4. [Option ID = 2116] 4) UNIT ‐2 [Question ID = 530][Question Description = 122_555_MSCC__Q22] 1. [Option ID = 2117] 2. [Option ID = 2118] 3. [Option ID = 2119] 4. [Option ID = 2120] 5) UNIT ‐2 [Question ID = 531][Question Description = 123_555_MSCC__Q23] 1. [Option ID = 2121] 2. [Option ID = 2122] 3. [Option ID = 2123] 4. [Option ID = 2124] 6) UNIT ‐2 [Question ID = 532][Question Description = 124_555_MSCC__Q24] 1. [Option ID = 2125] 2. [Option ID = 2126] 3. [Option ID = 2127] 4. [Option ID = 2128] 7) UNIT ‐2 [Question ID = 533][Question Description = 125_555_MSCC__Q25] 1. [Option ID = 2129] 2. [Option ID = 2130] 3. [Option ID = 2131] 4. [Option ID = 2132] 8) UNIT ‐2 [Question ID = 534][Question Description = 126_555_MSCC__Q26] 1. [Option ID = 2133] 2. [Option ID = 2134] 3. [Option ID = 2135] 4. [Option ID = 2136] 9) UNIT ‐2 Which of the following statements are true? िनम्न वक्तव्य म से कौन से सत्य है? [Question ID = 535][Question Description = 127_555_MSCC__Q27] 1. [Option ID = 2137] 2.  [Option ID = 2138] 3. [Option ID = 2139] 4. [Option ID = 2140] 10) UNIT ‐2 [Question ID = 536][Question Description = 128_555_MSCC__Q28] 1. [Option ID = 2141] 2. [Option ID = 2142] 3. [Option ID = 2143] 4. [Option ID = 2144] 11) UNIT ‐2 [Question ID = 537][Question Description = 129_555_MSCC__Q29] 1. [Option ID = 2145] 2. Intersection of two connected subsets is connected दो संब उपसमूह का प रच्छेदन संब है [Option ID = 2146] 3. Union of two compact subsets is compact दो संहत उपसमुचच ् य का सि मलन संहत है [Option ID = 2147] 4. [Option ID = 2148] 12) UNIT ‐2 [Question ID = 538][Question Description = 130_555_MSCC__Q30] 1. [Option ID = 2149] 2. [Option ID = 2150] 3. [Option ID = 2151] 4. [Option ID = 2152] Topic:‐ 704_PARTC_Set1_91‐102 1) UNIT ‐3 [Question ID = 539][Question Description = 131_555_MSCC__Q31] 1. [Option ID = 2153] 2. [Option ID = 2154] 3. [Option ID = 2155] 4. [Option ID = 2156] 2) UNIT ‐3 [Question ID = 540][Question Description = 132_555_MSCC__Q32] 1. There are no equilibrium points कोई संतुलन िबंदु नह है [Option ID = 2157] 2. There are no periodic solutions कोई आवत्ती हल नह है [Option ID = 2158] 3. All the solutions are bounded सभी हल प रब है [Option ID = 2159] 4. All the solutions are unbounded सभी हल अप रब है  [Option ID = 2160] 3) UNIT ‐3 [Question ID = 541][Question Description = 133_555_MSCC__Q33] 1. [Option ID = 2161] 2. [Option ID = 2162] 3. [Option ID = 2163] 4. [Option ID = 2164] 4) UNIT ‐3 [Question ID = 542][Question Description = 134_555_MSCC__Q34] 1. [Option ID = 2165] 2. [Option ID = 2166] 3. [Option ID = 2167] 4. [Option ID = 2168] 5) UNIT ‐3 [Question ID = 543][Question Description = 135_555_MSCC__Q35] 1. The PDE is not linear  PDE रैिखक नह है [Option ID = 2169] 2. [Option ID = 2170] 3. [Option ID = 2171] 4. [Option ID = 2172] 6) UNIT ‐3 [Question ID = 544][Question Description = 136_555_MSCC__Q36] 1. [Option ID = 2173] 2. [Option ID = 2174] 3. [Option ID = 2175] 4. [Option ID = 2176] 7) UNIT ‐3 [Question ID = 545][Question Description = 137_555_MSCC__Q37] 1. [Option ID = 2177] 2.  [Option ID = 2178] 3. [Option ID = 2179] 4. [Option ID = 2180] 8) UNIT ‐3 [Question ID = 546][Question Description = 138_555_MSCC__Q38] 1. [Option ID = 2181] 2. [Option ID = 2182] 3. [Option ID = 2183] 4. [Option ID = 2184] 9) UNIT ‐3 [Question ID = 547][Question Description = 139_555_MSCC__Q39] 1. [Option ID = 2185] 2. [Option ID = 2186] 3. [Option ID = 2187] 4. [Option ID = 2188] 10) UNIT ‐3 [Question ID = 548][Question Description = 140_555_MSCC__Q40] 1. [Option ID = 2189] 2. [Option ID = 2190] 3. [Option ID = 2191] 4. [Option ID = 2192] 11) UNIT ‐3 [Question ID = 549][Question Description = 141_555_MSCC__Q41] 1. A unique bounded solution एक अि तीय प रब हल है [Option ID = 2193] 2. No solution कोई हल नह है [Option ID = 2194] 3. [Option ID = 2195] 4. [Option ID = 2196] 12) UNIT ‐3 [Question ID = 550][Question Description = 142_555_MSCC__Q42] 1. [Option ID = 2197] 2. [Option ID = 2198] 3. [Option ID = 2199] 4. [Option ID = 2200] Topic:‐ 704_PARTC_Set1_103‐120 1) UNIT ‐4 [Question ID = 551][Question Description = 143_555_MSCC__Q43] 1. [Option ID = 2201] 2. [Option ID = 2202] 3. [Option ID = 2203] 4. [Option ID = 2204] 2) UNIT ‐4 [Question ID = 552][Question Description = 144_555_MSCC__Q44] 1. [Option ID = 2205] 2. [Option ID = 2206] 3. [Option ID = 2207] 4. [Option ID = 2208] 3) UNIT ‐4 [Question ID = 553][Question Description = 145_555_MSCC__Q45] 1. [Option ID = 2209] 2. [Option ID = 2210] 3. [Option ID = 2211] 4. [Option ID = 2212] 4) UNIT ‐4 [Question ID = 554][Question Description = 146_555_MSCC__Q46] 1. The chain is irreducible श ृंखला अखंडनीय है [Option ID = 2213] 2. The chain has period 2 श ृंखला का आवतकाल 2 है [Option ID = 2214] 3. There are infinitely many recurrent classes अनंत:बह पुनारावत वग है [Option ID = 2215] 4. Zero is a transient state शून्य अल्पस्थायी अवस्था है [Option ID = 2216] 5) UNIT ‐4 [Question ID = 555][Question Description = 147_555_MSCC__Q47] 1. [Option ID = 2217] 2. [Option ID = 2218] 3. [Option ID = 2219] 4. [Option ID = 2220] 6) UNIT ‐4 [Question ID = 556][Question Description = 148_555_MSCC__Q48] 1. [Option ID = 2221] 2. [Option ID = 2222] 3. [Option ID = 2223] 4. [Option ID = 2224] 7) UNIT ‐4 [Question ID = 557][Question Description = 149_555_MSCC__Q49] 1. [Option ID = 2225] 2.  [Option ID = 2226] 3. [Option ID = 2227] 4. [Option ID = 2228] 8) UNIT ‐4 [Question ID = 558][Question Description = 150_555_MSCC__Q50] 1. [Option ID = 2229] 2. [Option ID = 2230] 3. [Option ID = 2231] 4. [Option ID = 2232] 9) UNIT ‐4 [Question ID = 559][Question Description = 151_555_MSCC__Q51] 1. [Option ID = 2233] 2. [Option ID = 2234] 3.  [Option ID = 2235] 4. [Option ID = 2236] 10) UNIT ‐4 [Question ID = 560][Question Description = 152_555_MSCC__Q52] 1. [Option ID = 2237] 2. [Option ID = 2238] 3. [Option ID = 2239] 4. [Option ID = 2240] 11) UNIT ‐4 [Question ID = 561][Question Description = 153_555_MSCC__Q53] 1. [Option ID = 2241] 2. [Option ID = 2242] 3. [Option ID = 2243] 4. [Option ID = 2244] 12) UNIT ‐4 [Question ID = 562][Question Description = 154_555_MSCC__Q54] 1. 52 [Option ID = 2245] 2. 48 [Option ID = 2246] 3. 50 [Option ID = 2247] 4. 56 [Option ID = 2248] 13) UNIT ‐4 [Question ID = 563][Question Description = 155_555_MSCC__Q55] 1. [Option ID = 2249] 2. [Option ID = 2250] 3. [Option ID = 2251] 4. [Option ID = 2252] 14) UNIT ‐4 [Question ID = 564][Question Description = 156_555_MSCC__Q56] 1. [Option ID = 2253] 2. [Option ID = 2254] 3. [Option ID = 2255] 4. [Option ID = 2256] 15) UNIT ‐4 [Question ID = 565][Question Description = 157_555_MSCC__Q57] 1. [Option ID = 2257] 2. [Option ID = 2258] 3. [Option ID = 2259] 4. [Option ID = 2260] 16) UNIT ‐4 [Question ID = 566][Question Description = 158_555_MSCC__Q58] 1. [Option ID = 2261] 2. [Option ID = 2262] 3. [Option ID = 2263] 4. [Option ID = 2264] 17) UNIT ‐4 [Question ID = 567][Question Description = 159_555_MSCC__Q59] 1. [Option ID = 2265] 2. [Option ID = 2266] 3. [Option ID = 2267] 4. [Option ID = 2268] 18) UNIT ‐4 [Question ID = 568][Question Description = 160_555_MSCC__Q60] 1. [Option ID = 2269] 2. [Option ID = 2270] 3. [Option ID = 2271] 4. [Option ID = 2272]