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Students of Class V, VI, VII, VIII, IX, X & XI (Science) Get Rank, Recognition & Reward at NATIONAL Level Don't Miss the Opportunity to Appear in SAMPLE TEST PAPER for CLASS XI "TALLENTEX COORDINATION CELL" ALLEN Carrer Institute, "Sankalp" CP-6, Indra Vihar, Kota (324005) RAJASTHAN PHONE : 0744-5-162-162 | E-MAIL : contact@tallentex.com | WEBSITE : www.tallentex.com A Specially Designed Initiative at National Level to Encourage Young Talent by TM ALLEN Corporate Office : "SANKALP" CP-6, Indra Vihar, Kota (Rajasthan) INDIA 324005 +91-744-5156100 info@allen.ac.in www.allen.ac.in 2016 CLASS-XI INSTRUCTIONS Time duration: 2:30 hours. (The initial 30 minutes are given for filling Response Sheet and the test duration is 2 hours). Maximum Marks: 320 This Question Paper consists of 2 parts which contains 80 MCQs with 4 choices Part - I : 20 questions on IQ (which comprises questions on application of logic & mental ability) Part - II : 60 questions (Compulsory Subjects: Physics: 20, Chemistry: 20 & Optional Subjects (only 1 subject to be attempted): Biology: 20 or Maths: 20) Marking Scheme: For each correct answer 4 marks are awarded and for each wrong answer -1 mark is awarded. In case of no response zero mark will be awarded. N E L L A PART-I IQ (MENTAL ABILITY) This section contains 20 Multiple Choice Questions. Each question has four choices (1), (2), (3) and (4) out of which ONLY ONE is correct. Direction (Q. 1 to Q. 3) : Refer to the data below and answer the questions that follow In a survey of 1000 households, washing machines, vacuum cleaners, and refrigerators were counted. Each house had at least one of these appliances, 400 had no refrigerator, 380 no vacuum cleaners, and 542 no washing machines. 294 had both a vacuum cleaner and a washing machine, 277 both a refrigerator and a vacuum cleaner, 120 both a refrigerator and a washing machine. 1. How many had only vacuum cleaner ? (1) 112 2. (2) 62 (3) 123 (4) 138 How many had at least two of the three appliances ? (1) 529 (2) 652 (3) 665 (4) None of these 1 3. How many had exactly one appliance ? (1) 550 4. 2016 CLASS-XI (2) 500 (3) 216 (4) 335 Six x s have to be placed in the square of the adjacent figure such that each row contains at least one x. In how many different ways can this be done ? (1) 20 (2) 24 (3) 26 Direction (Q. 5 & Q. 6) : Each letter always stands for the same digit. (4) 30 N E L L A NINE +THREE +SEVEN T W E LV E 5. 6. 7. 8. 2 Given I = 9, R = 2, N = 6 For which digit W stands ? (1) 0 (2) 4 (3) 6 (4) 3 For which digit L stands ? (1) 5 (2) 6 (3) 7 (4) 8 P, Q, R and S are four men. P is the oldest but not the poorest. R is richest but not the oldest. Q is older than S but not than P or R. P is richer than Q but not than S. The four men can be arranged (descending) in respect of age & richness, respectively as :(1) PQRS, RPSQ (2) PRQS, RSPQ (3) PRQS, RSQP (4) PRSQ, RSPQ A man fills a basket with eggs in such a way that the number of eggs added on each successive day is the same as the number already present in the basket. This way the basket gets completely filled in 24 days. After how many days the basket was 1/4th full ? (1) 6 (2) 12 (3) 17 (4) 22 2016 CLASS-XI 9. 10. 11. 12. At a farm, there are hens, cows and bullocks and keepers to look after them. There are 69 heads less than legs; the number of cows is double than that of the bullocks ; the number of cows and hens is the same and there is one keeper per ten birds and cattle. The total number of hens plus cows and bullocks and their keepers does not exceed 50. How many cows are there ? (1) 10 (2) 14 (3) 12 (4) 16 If in certain code POPULAR is coded as QPQVMBS. which word would be coded as GBNPVT'? (1) FAMOSU (2) FAMOUS (3) FASOUM (4) FOSAUM If in certain code CALCUTTA is coded as GEPGYXXE. which word would be coded as FSQFCE ? (1) BOMBYA (2) BOMBAY (4) BOBAYM (3) BOMYAB Direction : (Q.12) In the following questions, there is a relationship between the two terms (letter clusters) on the left of the sign (: :). The same relationship exists between the two terms to the right of the sign (: :) of which one is missing. Find the missing one from the alternatives. 3 16 4 : :: :? 2 81 3 N E L L A 27 81 54 27 (2) (3) (4) 64 256 128 128 Mukesh left home for the bus stop 10 minutes earlier than usual. It takes 10 minutes to reach the stop. He reached the stop at 1.45 a.m. What time does he usually leave home for the bus stop ? (1) 1.40 a.m. (2) 1.45 a.m. (3) 1.55 a.m. (4) Data inadequate Choose the water image from the alternatives : (1) 13. 14. 356274 (1) (2) (3) (4) 3 15. 16. 17. 18. 2016 CLASS-XI Direction : (Q.15 to Q.17) A solid cube of each side 8 cm has been painted red, blue and black on pairs of opposite faces. It is then cut into cubical blocks of each side 2 cm. How many cubes have no face painted ? (1) 0 (2) 4 (3) 8 (4) 12 How many cubes have only one face painted red and all other faces unpainted ? (1) 4 (2) 8 (3) 12 (4) 16 How many cubes have two faces painted ? (1) 24 (2) 18 (3) 8 (4) 0 Amit started walking towards North. After walking 100 m, he turned to his right and walked 500 m. He again moved to his right and walked 100 m, he moved to his left and then walked 200 m. He again turned to his right and walked 700 m. In the end, he turned to his left two times and walks 700 m each. How far is he form his original position. (1) 1200 m (2) 1300 m (3) 1400 m (4) 1600 m Direction (Q. 19 & Q.20) : The following questions are based on the given matrix, The value of each other letter is the product of its row and column number e.g., for the value of 'Z' is 3 4 = 12 N E L L A Column 0 20. 4 3 4 B O J C P 1 E N H I D 2 G R A M V 3 19. 2 0 Rows 1 F S T L Z 4 W X Y U K Answer the following questions. Find the letters which make the least total among the alternatives. (1) D K A (2) F H Y (3) O D X (4) V T M Find the letters which make the highest total among the alternatives. (1) PLOT (2) PLAN (3) PLAY (4) PLUS 2016 CLASS-XI PART-II SECTION-A : PHYSICS This section contains 20 Multiple Choice Questions. Each question has four choices (1), (2), (3) and (4) out of which ONLY ONE is correct. 21. 22. A hollow cylinder, a spherical shell, a solid cylinder and a solid sphere are allowed to roll on an inclined rough surface of coefficient of friction m and inclination q. The INCORRECT option is:(1) If all the objects are rolling and have same mass, the K.E. of all the objects will be same at the bottom of inclined plane. (2) Work done by the frictional force will be zero, if objects are rolling. (3) If cylindrical shell can roll on inclined plane, all other objects will also roll. (4) Frictional force will be equal for all the rolling objects, if having same mass. A uniform beam of weight W is attached to a vertical wall by a hinge H. The beam is held horizontal by a rope as shown below. N E L L A rope beam H W Which one of the following best shows the direction of the reaction force R at the hinge ? R R (1) (2) W (3) W (4) R W R W 5 \\ \\ \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\ m2 m1 a \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\ \\\ \\ \\\\\\\\\\\\\\\\\\\\ \ (1) m2 g cos a 25. 26. (2) m2 g sin a cos a (3) m1 g + m2 g cos2 a 24. (4) m1 g + m2 g sin a cos a A helicopter is flying horizontally at 8 m/s at an altitude 180 m when a package of emergency medical supplies is ejected horizontally backward with a speed of 12 m/s relative to the helicopter. Ignoring air resistance what is horizontal distance between the package and the helicopter when the package hits the ground ? (1) 120 m (2) 24 m (3) 36 m (4) 72 m A ball is thrown vertically upward under the influence of gravity. Suppose observer P films this motion and play the tape backwards (so the tape begins with the ball at its highest point and ends with it reaching the point from which it was released), and another observer Q observes the motion of the ball from a frame of reference moving at constant velocity which is equal to the initial velocity of the ball. The ball has a downward acceleration according to observer. (1) P and Q (2) only P (3) only Q (4) neither As shown in the figure a person is pulling a mass ' m ' from ground on a fixed rough hemispherical surface upto the top of the hemisphere with the help of a light inextensible string. Find the work done by tension in the string if radius of hemisphere is R and friction co-efficient is m. Assume that the block is pulled with negligible velocity. N E L L A (1) mgR (2+3m) (3) mgR (1+m) 6 \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\ A wedge of mass m1 and a block of mass m2 are in equilibrium as shown. Inclined surface of the wedge has an inclination a with the horizontal. Each surface is frictionless. The normal reaction on the wedge may not be :- \\\\\\\\\\\\\\\\\\\\\\\\\ 23. 2016 CLASS-XI (2) mgR (1+2m) (4) mgR (3+4m) 2016 CLASS-XI 27. 28. 29. Two particles start simultaneously from the same point and move along two straight lines, one with uniform velocity v and other with a uniform acceleration a. If a is the angle between the lines of motion of two particles then the least value of relative velocity will be at time t is equal to (1) (v/a) sin a (2) (v/a) cos a (3) (v/a) tan a (4) (v/a) cot a Two block A and B with masses w0 m 1=1/4 3 kg and 9 kg are placed over each other on a rough horizontal circular m 2=9/25 disc at a distance R = 10 m from R=10 m the axis of the disc, as shown in the figure if the coeficient of friction between the two blocks is m1 = 1/4 and between block B and horizontal disck is m2 = 9/25, then calculate the maximum angular velocity with which we can rotate the disc such that there is no slipping any where (1) 1 rad/s (2) 0.5 rad/s (3) 0.6 rad/s (4) 0.3 rad/s A plank of mass 'm' and sufficient length is moving with a constant speed v0 on a smooth horizontal surface and a solid sphere of same mass 'm' and radius 'R' is placed over it, if m is the co-efficient of friction between the sphere and the plank, then the velocity of the center of mass of the sphere at the instant the pure rolling starts will be: N E L L A v0 (1) (2) 2 v0 7 (3) 2 v0 5 2 (4) v0 9 / /// /// /// /// / /// /// /// // A flexible chain of weight W hangs between A two fixed points A and B. The angle made by B q the chain with the vertical at the two points A 2q and B are q and 2q respectively. What is the ratio of the tensions at the end points A and B of the chain. (1) cosec q (2) 2sec q (3) 2cos q (4) 2sin q /// /// 30. 2 v0 3 /// /// /// // 7 31. 2016 CLASS-XI C"fkue"ku"tqnnkpi"*ykvjqwv"unkrrkpi+"qp"c"htkevkqpnguu"uwthceg0"E"ku"kvu egpvgt"cpf"S"cpf"R"ctg"vyq"rqkpvu"gswkfkuvcpv"htqo"E0"Ngv"XR."XS"cpf XE"dg"vjg"ocipkvwfgu"qh"xgnqekvkgu"qh"rqkpv"R."S"cpf"E"tgurgevkxgn{. vjgp P C Q *3+"XS"@"XE" @"XR *4+"XS">"XE" >"XR 3 X 4 R *5+"XS"?"XR."XE"?" 32. *6+""XS">"XE"@"XR Hqwt"kfgpvkecn"rctvkeng"gcej"qh"ocuu")o)"ctg"ukvwcvgf"cv"vjg"xgtvkegu"qh"c N E L L A uswctg"ctg"oqxkpi"vqyctfu"vjg"egpvgt")Q)"ykvj"vjg"eqpuvcpv"urggf"x2"qp c"uoqqvj"jqtk|qpvcn"uwthceg"cu"ujqyp"kp"vjg"hkiwtg0"Kh"chvgt"eqnnkukqp rctvkengu"C"cpf"E"tgvtceg"vjg"ctg"rcvj"ykvj"vjg"ucog"urggf"cpf"rctvkeng F"eqogu"vq"tguv"vjgp"vjg"korwnug"qp"rctvekng"D"yknn"dg< A B v0 v0 O v0 C *3+" 7mv 0 33. *4+" 2mv 0 v0 D *5+" 3mv0 *6+" 5mv0 Vjg"vkog"fgrgpfgpeg"qh"rj{ukecn"swcpvkv{"r"ku"ikxgp"d{"r"?"R2g av yjgtg"R2"ku"c"eqpuvcpv"cpf"v"ku" vkog0"Vjg"eqpuvcpv"a *3+"ku"fkogpukqpnguu *5+"jcu"fkogpukqp"V4 8 *4+"jcu"fkogpukqp"V 4 *6+"jcu"fkogpukqp"qh""r 4 2016 CLASS-XI 34. Block A and C start from rest and move to the right with accelerations aA = 12 t m/s2 and aC = 3 m/s2. Here t is time in seconds. the time when block B comes to rest again, is (1) 1s (2) A 3 s 2 C (3) 2s (4) 35. What is the maximum compression in spring, if the lower block is shifted to right wards with acceleration a . All the surfaces are smooth : (1) 36. 37. B 1 s 2 ma 2K N E L L A (2) 2ma K (3) ma K m a M (4) 4ma K 15 N kg Two blocks with masses M1 = 5 kg and M2 = 10 F= 10 g 5k kg are released from rest on a smooth inclined 37 plane with inclination angle q = 37 , then calcu late the frictional force acting between the two blocks. (Co-efficient of friction between the blocks is 'm' = 0.5) (1) 15 N (2) 30N (3) 10N (4) zero A particle of mass m is projected with velocity u at an angle q with horizontal. During the period when the particle descends from highest point to the position where its velocity vector makes an angle q/2 with horizontal, the work done by the gravitational force is (1) 1 mu2 tan2q/2 2 (2) 1 mu2 tan2q 2 (3) 1 mu2 cos2q tan2q/2 2 (4) 1 mu2 cos2q/2 sin2q 2 9 38. 2016 CLASS-XI A block if mass m moving with a speed v0 on frictionless horizontal surface, strikes and compress a light spring of stiffness cosntant K till mass comes to rest (as shown in fig.) observer m 39. According to an observer on the block, potential energy of the spring increases (1) due to the decrease in the kinetic energy (2) due to positive work done by pseudo force (3) due to positive work done by normal reaction between spring and wall (4) work done by normal reaction force between spring and wall will always zero A circular ring of mass M and radius R is rotating about its axis with constant angular velocity w. Two objects each of mass m get attached to the rotating ring. The ring now rotates with an angular velocity (1) (3) 40. v0 wM M + 2m N E L L A w ( M - 2m ) M + 2m (2) (4) wm M + 2m w ( M + 2m ) m A solid sphere of mass m = 1 kg and R = 100 cm is released from h = 7 m on shown curved track. There is no slipping between the sphere and the surface during rolling. Sphere hits the block of mass 1 kg elastically on the straight part of the track. Find K.E of both the sphere and the block just after hit (g = 10 m/s2) h = 7m (1) 35 J, 35 J (3) 50 J, 20 J 10 (2) 0 J, 70 J (4) 20 J, 50 J 2016 CLASS-XI SECTION-B : CHEMISTRY This section contains 20 Multiple Choice Questions. Each question has four choices (1), (2), (3) and (4) out of which ONLY ONE is correct. 41. 42. 43. Equal amount (mass) of methane and ethane have their total translational kinetic energy in the ratio 3 : 1 then their temperature are in the ratio (C = 12) (1) 4 : 5 (2) 45 : 8 (3) 15 : 8 (4) 8 : 5 Atomic mass of a metal is 27. If its valency is 3, then molecular weight of its volatile chloride is : (1) 66.75 (2) 133.5 (3) 6.675 (4) 33.75 Moles of ABC3 produced in the following set of reaction when 180 gm of A, 180gm of B and 200 gm of C are mixed in a container (given molar masses of A,B,C are 20, 30 & 10 respectively. N E L L A 2A + 3B + 5C A2BC2 + B2C3, B2C3 + 3C 2BC3 BC3 + A ABC3 44. (1) 5 (2) 4 (3) 10/3 (4) 20/3 What is the number of molecules of Glauber's salt. Na2SO4.10H2O in a sample containing 0.16g of oxygen ? 3.011 1021 8 3.011 10 23 (3) 16 6.022 1020 16 6.022 1021 (4) 14 (1) 45. (2) 4p r The above graph cannot be of : (1) 3s (2) 4px (3) 3px (4) 5dxy 11 46. 47. 48. 49. 2016 CLASS-XI Correct match of order with given property is Order Property (1) F > Cl > Br > I Electron gain enthalpy (2) F2 > Cl2 > Br2 > I2 Bond dissociation enthalpy (3) F > Cl > Br > I Ionisation enthalpy (4) F2 > Cl2 > Br2 > I2 Bond length Which of the following ion has maximum hydration enthalpy ? (1) Li+ (2) Be2+ (3) Mg2+ (4) Na+ Which of the following contains both polor and non-polar bonds : (1) NH4OH (2) CO2 (3) O2F2 (4) KCN In CaC2O4 molecule which of the following statement is CORRECT: (1) All elements present in CaC2O4 are non-metals (2) All elements belong to p-block (3) Oxygen has maximum I.E 1 compare to other type of elements present in CaC2O4 (4) All three elements have atomic number < 20 N E L L A + N=N=N N 50. C + + N=N=N C N N C N=N=N For this molecule which option is CORRECT (1) It has 15s , 9p bonds (2) Hybridisation of all C atoms is sp2 and molecule is following octet rule (3) Total 12 lone pairs are present in this molecule (4) All are correct 12 2016 CLASS-XI 51. Find the maximum number of electron that are involved in shielding of an electron of Ni atom having quantum numbers. n = 2, l = 1, m=0,s=+ (1) 5 53. 54. 55. (2) 6 (3) 9 (4) 12 2 moles of urea are dissolved in 1000 gms of H2O the density of solution is 1.2 gm/ml find out molarity of solution. (1) 2.14 (2) 2.4 (3) 2 (4) 2.5 The mass of P4O10 produced if 440 gm of P4S3 is mixed with 384 gm of O2 is (Atomic mass of 'P' = 31, 'S' = 32) P4S3 + O2 P4O10 + SO2 (1) 568 gm (2) 426 gm (3) 284 gm (4) 396 gm Which of the following statements is incorrect ? (1) It is not possible to condence a gas at a temperature below Tc. (2) At a temperature below Tc' condesation occurs. (3) No condensation takes place above Tc. (4) Ideal gas can not be condensed at any temperature. Distribution of molecules with velocity is represented by the curve as shown; velocity at point A is N E L L A Molecules 52. 1 . 2 A u (1) 3RT M (2) 2RT M (3) 8RT pM (4) RT M 13 56. 57. 58. 59. 60. 2016 CLASS-XI Which statement is incorrect regarding Bohr's model ? (1) It is applicable for one electron species like H, He+ etc. (2) It incorporates dual nature of light (3) It incorporates dual nature of particle (4) Energy of electron is quantised Carbon atoms in C2(CN)4 are : (1) sp-hybridized (2) sp2-hybridized (3) sp- and sp2 hybridized (4) sp, sp2 and sp3- hybridized Match the Column : Column I Column II (A) BrF3 (P) One angle 90 (B) TeF (Q) Central atom is sp3d2 hybridised 5 (C) IF7 (R) Non planar (D) XeF4 (S) Polar (1) (A) P,S (B) P,Q,R,S (C) P,R (D) P,Q (2) (A) R,S (B) P,Q,R,S (C) P,R (D) Q,R (3) (A) P,S (B) P,Q,R,S (C) Q, R (D) P,Q (4) (A) Q,S (B) P,Q (C) P,R (D) P,Q The correct order of the magnetic moment of [25Mn, 24Cr, 26Fe] is : (1) Fe3+ > Cr+3 = Mn+4 (2) Fe3+ > Cr3+ > Mn4+ (3) Cr3+ = Mn4+ > Fe3+ (4) Fe3+ > Mn+4 > Cr3+ The electronegativity of the following elements increases in the order : (1) C < N < Si < P (2) Si < P < C < N (3) N < C < P < Si N E L L A (4) C < Si < N < P 14 2016 CLASS-XI Attempt any one of the section C or D SECTION-C : BIOLOGY This section contains 20 Multiple Choice Questions. Each question has four choices (1), (2), (3) and (4) out of which ONLY ONE is correct. 61. 62. 63. 64. Read the following terms carefully. Cilia, Flagella, Zygote, Water bloom, Photosynthesis, Pellicle, Peptidoglycan wall, Nitrogen fixation ability, Multicellular, Heterocyst, Decomposer, Pseudopodia. How many terms are not related with kingdom protista :(1) 4 (2) 5 (3) 7 (4) 6 (I) Fertilization (II) Liberation of spores (III) Prothallus formation (IV) Embryo formation Arrange the above events in a correct sequence in the life cycle of pteridophytes. (1) II, III, I, IV (2) IV, III, II, I (3) I, II, III, IV (4) I, IV, III, II Which set of disease is caused by bacteria :(1) Cholera, Typhoid, Tetanus, Citrus canker (2) Cholera, Tetanus, Influenza, Rabies (3) Typhoid, Mumps, Kuru, Tetanus (4) Tetanus, Kuru, Leprosy, Pertusis Choose the incorrect statement from following :(1) Yeast are used to make bread and bear (2) Fungi prefer to grow in warm and humid places (3) Cell wall of fungi are composed of chitin and polysaccharides (4) Fungi show symbiotic association with algae as mycorrhiza and with roots of higher plants as lichen N E L L A 15 65. 2016 CLASS-XI Match the column I with column II and choose correct option : Column I Column II (a) Xylem fibres (b) Xylem vessels 68. 16 (iii) Obliterated central lumen (d) Xylem parenchyma 67. (ii) Store food material (c) Xylem tracheids 66. (i) Pitted end wall (iv) Perforated end wall (1) (a)-i, (b)-ii, (c)-iii, (d)-iv (2) (a)-iv, (b)-iii, (c)-i, (d)-ii (3) (a)-iii, (b)-iv, (c)-i, (d)-ii (4) (a)-iii, (b)-i, (c)-iv, (d)-ii Select the false statement (1) All tissues except epidermis and vascular bundles constitute the ground tissue (2) The trichomes in the shoot system are usually unicellular (3) Epidermis is the outermost layer of the primary plant body (4) Phloem fibres are made up of sclerenchymatous cells The meristem that occurs in the mature regions of roots and shoot of many plants particularly those provide woody axis and appear later than primary meristem is called (1) Apical meristem (2) Intercalary meristem (3) Secondary meristem (4) Protoderm Which one of the following is not correct ? (1) Early wood is characterised by large number of xylary elements (2) Early wood is characterised by vessels with wider cavities (3) Late wood is characterised by large number of xylary elements (4) Late wood is charactrised by fewer number of xylary elements N E L L A 2016 CLASS-XI The figure given below shows three velocity-substrate concentration curves for an enzyme reaction. What do the curves x, y and z represent :- velocity of reaction (v) 69. x y z substrate concentration (s) N E L L A 70. (1) x-normal enzyme reaction y-Enzyme reaction in presence of non-competitive inhibitor z-Enzyme reaction in presence of allosteric inhibitor (2) x-Enzyme reaction in presenc of allosteric modulator y-Normal enzyme reaction z-Enzyme reaction in presence of competitive inhibitor (3) x-Enzyme reaction in presence of allosteric activator y-Enzyme reaction in presence of competitive inhibitor z-Normal enzyme reaction (4) x-Normal enzyme reaction y-Enzyme reaction in presence of competitive inhibitor z-Enzyme reaction in presence of non-competitive inhibitor Secondary growth involves activity of the (1) Root tips (2) Shoot tips (3) Apical meristem (4) Lateral meristem 17 71. 2016 CLASS-XI Select wrongly matched pair Column I Column II (Kingdom) (Features) (1) Monera Chemosynthetic nutrition (2) Protista Eukaryotes without division of labour. (3) Fungi Multicellular eukaryote with holozoic nutrition. (4) Plantae Multicellular eukaryote with tissue/ organ organisation. 72. Fluidity of cell membrane in cold weather is maintain by N E L L A (1) increasing number of phospholipid with unsaturated hydrocarbon tail (2) increasing the proportion of integral protein (3) increasing concentration of cholesterol in membrane (4) increasing the number of phospholipids with saturated hydrocarbon tail 73. Read the following statements carefully : (i) Systema naturae was written by Linnaeus. (ii) Classification proposed by whittaker was a natural formal classification. (iii)The six kingdom classification is also known as three domain classification. (iv)Haeckel used kingdom Protista in his classification. Select the option indicating true statements (1) (i) & (ii) (2) (ii), (iii) & (iv) (3) (i), (iii) & (iv) (4) (i), (ii) & (iii) 18 2016 CLASS-XI 74. 75. Match the following columns for prokaryotes Column-I Column-II Column-III (a) Cell wall (i) Pilin protein (p) Protective (b) Capsule (ii) Circular DNA (q) Attachment (c) Pili (iii) Peptidoglycan (r) With polyamines (d) Nucleoid (iv) Polysaccharides (s) Digested by lysozyme (2) a-iii-s, b-iv-p, c-i-q, d-ii-r (1) a-iv-p, b-iii-s, c-i-r, d-ii-q (4) a-ii-s, b-i-r, c-iv-p, d-iii-q (3) a-i-p, b-ii-q, c-iii-r, d-iv-s Find out the correct match from the column-I, II and III C olumn-I (i) D NA (ii) Collagen (iii) Inulin 76. 77. Column-II Column-III N E L L A Polymer of nucleotides Polymer of amino acids Polymer of fructose Function as genetic material Most abundant protein in animal world Stored food of plant (1) (i) only (2) (i) and (ii) (3) (iii) only (4) (i), (ii) and (iii) During the formation of leaves and elongation of stem some cells "left behind" from shoot apical meristem constitutes the (1) Leaf primordium (2) Axillary bud (3) Root bud (4) Both (1) & (3) Read the given statements (i) Phellogen, Phellem and Phelloderm are collectively known as periderm (ii) The peripheral region of the secondary xylem, is lighter in colour and is known as the heartwood (iii)In dicot stems, the cells of cambium present between primary xylem and primary phloem is the interfascicular cambium. (iv)In Grasses the guard cells are dumbbell shaped How many statements are not incorrect ? (1) Three (2) Four (3) Two (4) One 19 78. 2016 CLASS-XI Match the followings :Column-I (Tissue) Column-II (Examples) i Primary meristem P Phelloderm ii Primary permanent tissue Q Endodermis iii Secondary meristem R Intercalary meristem iv Secondary permanent tissue S Interfascicular cambium (1) i - R, ii - Q, iii -S, iv -P (2) i - R, ii - S, iii - Q, iv - P N E L L A (3) i - P, ii - Q, iii - S, iv - R (4) i -S, ii - R, iii - Q, iv - P 79. Having laminarian as a stored food and major pigments are chlorophyll a,c, fucoxanthin is the characteristic of (1) Ectocarpus (2) Spirogyra (3) Chara (4) Porphyra 80. Which one is incorrect matching? (1) Sequoia - tallest tree species (2) Mycorrhiza - fungal association in the roots of Pinus (3) Coralloid roots - associated with N2 - fixing cyanobacterium (4) Cycas - branched stem. 20 2016 CLASS-XI SECTION-D : MATHEMATICS This section contains 20 Multiple Choice Questions. Each question has four choices (1), (2), (3) and (4) out of which ONLY ONE is correct. 81. A = {(x, y) | x2 + y2 2|x| 2|y| + 1 = 0} B = {(x, y) | y = mx + c}. If A B f " m R, then number of integral values of c is - 82. 83. (1) 5 (2) 7 (3) 11 (4) 9 In DABC, B(4,3), C(2,k) and centroid P(h,1). A variable line L = 0 passing through P intersect side AB and AC internally at M and N. If perpendicular distance of line L = 0 from A and B is 7 and 3 respectively, then distance of line L = 0 from C is(1) 4 (2) 2 (3) 6 (4) Data insufficient Let a variable line passing through (1,2), then minimum value of N E L L A 1 , (b 0) is (where a & b are x intercept & slope of variable line b respectively) - |a| + 3 1 (2) (3) 2 4 2 A, B, C, D lie on circle x2 + y2 2x + 2y 1 = 0 such that chord BC subtend 110 and chord AD subtend 30 at centre O of circle, then BEC is (1) 40 (2) 55 (3) 80 (4) 70 (1) 84. 85. (4) 1 A D E O C B If larger root of the equation (2015x)2 (2014)(2016)x 1 = 0 is a and smaller root of equation x2 + 2014x 2015 = 0 is b, then value of is (1) 2 (2) 0 (3) 3 a -b 224 (4) 4 21 86. 2016 CLASS-XI As shown in adjacent figure hexagon ABCDEFA is divided into 3 squares and 4 triangles such that sum of areas of shaded region is 6 sq. units, side length AG & HD are a & b units respectively. If a & b are roots of equation x2 + (2k k2)x + (2k 6) = 0, where k R, then value of (a + b) is B A C 90 (1) 10 87. N E L L A (2) 8 (4) 24 2014 -2n | n | -3 + 3- | n | , (where n If g is the unit digit of 4+n 3-n R), then number of integral value(s) of d for which the equation (d 3)x2 + 2(d 3)x + is (1) 0 88. (3) 15 g - 2 = 0 , d R possesses no real solution, (2) 1 (3) 2 (4) infinite If i = -1, a, b R and (2 - 3i)(5(1 + i) + 3(1 - i))(3 - i)(21 + 4i)(5 - 7i) ,then value (4 - 21i)(8 + 26i)(2 + 3i) of a2 + b2 is a + ib = (1) 28 89. (2) 56 (4) 36 p the curve y = 8 cos (tan x) 4 (1) crosses the line y = 5x (2) lies below the line y = 5x On the X-Y plane ; at x = (3) lies above the line y = 5x 22 (3) 44 (4) touches the line y = 5x 2016 CLASS-XI 90. If the curve y = ax2 + 2bx + c , (a, b, c > 0) does not meet x-axis then a, b, c can be in (1) A.P. 91. (2) G.P. (3) H.P. (4) None of these If t1, t2 and t3 are distinct real numbers, then the points (t1, 2at1 + at13), (t2, 2at2 + at23), and (t3, 2at3 + at33) are collinear if (1) t1 t2 t3 = 1 (3) t1 + t2 + t3 = 0 92. (2) t1 + t2 + t3 = t1 t2 t3 (4) t1 + t2 + t3 = 1 The value of tan10 o tan 20 o tan 30 o tan 40 o tan 50 o tan 60 o tan 70 o tan 80 o is equal to cot10 o cot 20 o cot 30 o cot 40 o cot 50 o cot 60 o cot 70 o cot 80 o (1) 0 (2) 1 (3) 2 (4) 3 93. N E L L A Consider the equation 10z2 3iz k = 0, where z is a complex variable and i2 = 1. Which of the following statement is true? (1) For real positive numbers k, both roots are purely imaginary (2) For all complex numbers k, neither root is real (3) For all purely imaginary numbers k, both roots are real and irrational (4) For real negative numbers k, both roots are purely imaginary 94. If S1,S2,S3.......S2n are the sums of infinite geometric series whose first terms are 1,2,3,....., 2n and whose ratios are 1 1 1 1 , , ,..... 2 3 4 2n + 1 2 2 2 2 respectively, then find the value of S1 + S2 + S3 + ...... + S 2n -1 (1) n(2n + 1)(4n + 1) -1 3 (2) 2n(n + 1)(2n - 1) -1 3 (3) n(n + 1)(2n - 1) -1 3 (4) None of these 23 95. 2016 CLASS-XI If the lines x + ay + a = 0, bx + y + b = 0 and cx + cy + 1 = 0 (a, b, c being distinct 1) are concurrent, then the value of a b c + + is a -1 b - 1 c -1 (1) 1 (2) 0 96. (3) 1 (4) None of these The area of the region satisfying the inequality | z | < 1 < | amp z | on the argand plane, is p 2 (1) 97. (2) p 1 (3) p 2 (4) p -1 2 N E L L A If the roots of the equation ax 2 + bx + c = 0, are of the form a/(a 1) and (a + 1)/a, then the value of (a + b + c)2 is (1) 2b2 ac 2 (3) b 4ac 98. 2 (4) 4b 2ac The number of solutions of the equation 2cos x = |sin x| in [0, 2p] is (1) 1 (3) 3 99. (2) b2 2ac (2) 2 (4) 4 Let a, b and g be the roots of f(x) = 0, where f(x) = x3 + x2 5x 1 = 0. Then [a] + [b] + [g], where [.] denotes the greatest integer function, is equal to (1) 1 (2) 4 (3) 1 (4) 3 100. The sum of the imaginary parts of all the complex numbers, which simultaneously satisfy (1) 25 24 z - 12 5 z-4 = and = 1, is z - 8i 3 z-8 (2) 28 (3) 32 (4) 35 2016 CLASS-XI ANSWER KEY Que . 1 2 3 4 5 6 7 8 9 10 Ans. 2 3 4 3 1 3 2 4 3 2 Que . 11 12 13 14 15 16 17 18 19 20 Ans. 1 2 2 4 3 2 1 3 3 4 Que . 21 22 23 24 25 26 27 28 29 30 Ans. 4 1 4 4 1 3 2 2 2 3 Que . 31 32 33 34 35 36 37 38 39 40 Ans. 1 4 2 4 2 3 3 3 1 4 Que . 41 42 43 44 45 46 47 48 49 50 Ans. 4 2 2 4 3 3 2 3 3 4 Que . 51 52 53 54 55 56 57 58 59 60 Ans. 3 1 2 1 2 3 3 1 1 2 Que . 61 62 63 64 65 66 67 68 69 70 Ans. 1 1 1 4 3 2 3 3 4 4 Que . 71 72 73 74 75 76 77 78 79 80 Ans. 3 1 3 2 4 2 3 1 1 4 Que . 81 82 83 84 85 86 87 88 89 90 Ans. 1 1 2 4 3 3 2 2 3 3 Que . 91 92 93 94 95 96 97 98 99 100 Ans. 3 2 4 1 3 2 3 4 4 1 N E L L A 25

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