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IIT JAM 2013 : Geophysics

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... ~ ~ 2013-GP 2013-GP READ INSTRUCTIONS ON THE LEFT SIDE OF THIS PAGE CAREFULLY . Test Paper Code: GP Time: 3 Hours Maximum Marks: 100 INSTRUCTIONS 1. This question-cum-answer booklet has 40 pages and has 45 questions in three sections. Please ensure that the copy of the question-cum-answer booklet you have received contains all the questions. 2. Write your Registration Nnrnber, Name and the name of the Test Centre in the appropriate space provided on the right side. 3. Attempt any two sections and indicate yonr selection below with a tick-mark (,/) REGISTRATION NUMBER l~ Name: IGEOLOGY IPHYSICS IMATHEMATICS I I~ Test Centre: . 4., Write the answers to the objective questions against each Question No. in the Answer Table for Objective Qnestions, provided on Page No. 36. Do not write anything else on this page. 5. Each objective question has 4 choices for its answer: (A), (B), (e) and (P).' Only ONE of them is the correct answer. There will be negative marking for wrong answers to objective questions. The following marking scheme for objective questions shall be used : (a) For each correct answer, you will he awarded 2 (Two) mark~. (b) For each wrong answer, you will be awarded ~.5 (Negative 0.5) mark. . I ,! II Multiple answers to question will be treated as a wrong answer . (d) For each un-attempted question, you will be awarded 0 (Zero) mark. (e) Negative marks for objective part will be carried over to total marks. 6. Answer the fIll in the blank type and descriptive type questions only in the space provided after each question. No negative marks for fill in the blank type questions. 7. Do not write more than one answer fur the sarne question. In case you attempt a fill in the blank or a descriptive question more than once, please cancel the answer(s) you consider wrong. Otherwise, the answer appearing last only will be evaluated. 8. All answers must be written in bluelblacklblue-black ink only. Sketch pen, pencil or ink of any other colour should not be used. All rough work should be done in the space provided and scored out finally. 10. No supplementary sheets will be provided to the candidates. I II. Clip board, log tables, slide rule, cellular phone and electronic gadgets in any form are NOT ALLOWED. Non-Programmable Calculator is ALLOWED. 12.The question-cum-answer booklet must be returned in its entirety to the Invigilator before leaving the examination hall. Do not remove any page from this booklet. Do not write your Registration Number or Name anywhere else in this questioncum-answer booklet. (c) I have read all the instructions and shall abide by them. .. I:~ Signatrire of the Can.didate ~ I have verified the information filled by the candidate above. - I __ __ _._------ .. Signature of the Invigilator . . ~ IMPORTANT NOTE FOR CANDIDATES Select any TWO Sections (Objective, Fill in the Blanks & Descriptive) among the three listed below: GEOLOGY SECTION : Q. Nos. 01-05 (Objective Questions) Q. Nos. 06-10 (Fill in the Blank Questions) Q. Nos. 11-15 (Descriptive Questions) PHYSICS SECTION : Q. Nos. 16-20 (Objective Questions) Q. Nos. 21-25 (Fill in the Blank Questions) Q. Nos. 26-30 (Descriptive Questions) MATHEMATICS SECTION : Q. Nos. 31-35 (Objective Questions) Q. Nos. 36-40 (Fill in the Blank Questions) Q. Nos. 41-45 (Descriptive Questions) Distribution of Marks in each section: I 05 x 02 =10 marks I 05 x 03 =15 marks I 05 x 05 =25 marks I Total: 50 marks Questions: (1-5, 16-20 & 31-35) OBJECTIVE QUESTIONS carry two marks each. - For each correct answer, you will be awarded 2 (Two) marks. - For each wrong answer, you will be awarded -0.5 (Negative 0.5) mark. Multiple answers to a question will be treated as a wrong answer. For each un-attempted question, you will be awarded 0 (Zero) mark. Negative marks for objective part will be carried over to total marks. Questions: (06-10,21-25 & 36-40) FILL IN THE BLANK QUESTIONS carry three marks each. For each correct answer, you will be awarded 3 (Three) marks. For each wrong answer, you will be awarded 0 (Zero) mark. For each un-attempted question, you will be awarded 0 (Zero) mark. There is no negative marking for fill in the blank questions. Questions: (11-15,26-30 & 41-45) DESCRIPTIVE QUESTIONS carry five marks each. - For each correct answer, you will be awarded 5 (Five) marks. - For each wrong answer, you will be awarded 0 (Zero) mark. - For each un-attempted question, you will be awarded 0 (Zero) mark. - There is no negative marking for Descriptive questions. Write the objective type question's answers for any TWO of the above attempted sections in the Answer Table for Objective Ouestions provided on page 36 only. GP-1/40 ~ GEOLOGY SECTION: (Objective Questions) Q.1 Match the natural features listed in Group I with the corresponding geological environments listed in Group II Group I Group II P. Atoll 1. River Q. Esker 2. Volcano R. Caldera 3. Sea S. Braid bar 4. Glacier (A) P-1, Q-3, R-4, S-2 (B) P-3, Q-4, R-2, S-l (C) P-3, Q-4, R-1, S-2 (0) P-3, Q-2, R-4, S-l Q.2 Orogenic belts are associated with (A) divergent plate boundaries (B) transform faults (C) convergent plate boundaries (collision zones) (0) convergent plate boundaries (subduction zones) Q.3 Which one of the following sequences, show arrangement of the stratigraphic units in the increasing order of their ages? (A) Subathu Formation, Po Formation, Dmia Formation, Bijaigarh Shale (B) Subathu Formation, Dmia Formation, Po Formation, Bijaigarh Shale (C) Subathu Formation, Dmia Formation, Bijaigarh Shale, Po Formation (0) Bijaigarh Shale, Po Formation, Dmia Formation, Subathu Formation Q.4 Match the fossils listed in Group I with the corresponding morphological features listed in Group II Group I Group II P. Area 1. Broad pallial sinus Q. Troehus 2. Oysodont dentition R. Mya 3. Taxodont dentition S. Ostrea 4. Conical-spiral (A) P-3, Q-4, R-1, S-2 (B) P-1, Q-4, R-3, S-2 (C) P-3, Q-2, R-4, S-l (0) P-2, Q-4, R-1, S-3 Q.5 Match the items listed in Group I with the those listed in Group II Group I Group II P. Perthite 1. Intergrowth of quartz and alkali Feldspar Q. Graphic texture 2. Intergrowth of albite and potasic Feldspar R. Ophitic texture 3. Plagioclase laths enclosed by augite S. Myrrnekitic texture 4. Intergrowth of quartz and sodic plagioclase (A) P-1, Q-4, R-2, 5-3 (B) P-1, Q-2, R-3, 5-4 (C) P-2, Q-4, R-3, 5-1 (0) P-2, Q-1, R-3, 5-4 GP-2/40 ~ GEOLOGY SECTION : (Fill in the blank Questions) Q.6 The concept of hanging wall/foot wall does not hold good in the case of faults which arelhave :~An----s-:-----------------------------------------------------------------.--------------------------.----------------------------------., : : . ; : : , ---------------.-.--------------------------_.-------------------------_.--------------------------------------------------------------, Q.7 A light blue mineral occurring in bladed form. is of composition AhSiOs. A specimen of this mineral has hardness (Mohs scale) 4-5 as well as 6-7. TIle name of the mineral is ,---------------------------------------------------------------------------------------------------------.------------------------------ .. : , '' ---.-------------_.----------------------------------- ------------------------------------------~---------------~--~~-------------------, Q.8 of granite, equivalents Volcanic - - - - - - - , - - - - - - - and syenite and respectively. diorite are i~--- ----- ---------------------~------~--~--------------~---~----~-----.-------------~-------------.----------------------~-.--------- lAos: GP 3/40 .. [IJ Q.9 Individual suture lines characterized by 'cerrated lobes' altemating with 'rounded saddles' in ammonoids are called . I---~------------------------------------------------- --------------------------------------.-------------------------------------------1 , , , , , , , , :_----------------------------------------------------.--------------------------------------------------------------------------------_! Q.lO In an area of normal stratigraphic sequence of conformable beds, an older bed gets exposed by erosional process only. Such an exposure of an older bed surrounded by younger beds is termed as _ :-~~-.------------------------------------------------ --------------------------------------------------------------------------------1 GP 4/40 [!J GEOLOGY SECTION: (Descriptive Questions) Name the crystal system in which the mineral galena crystallizes. Give its element of symmetry in terms of number of (i) axial and diagonal planes of symmetry and (ii) axes of various folds of symmetry. Write its chemical composition, streak and hardness. With which ore mineral is it commonly found associated in the Zawar mines of Rajasthan? Q.ll r--- ----------------------_.--------------------------_.------------------------------------------------ ------------- .. , \ ! ! i [ " " " '" ~ ~ .s I , , , i i , ~ <8 " 1i en , , i , , , , ,-----------------------------------------------------------------------_.--------------------------_.----------------------------------- GP 5/40 ~ Q.12 With the help of neat sketches, describe characteristic features of the following drainage patterns (i) Dendritic (ii) Trellised (iii) Centripetal (iv) Radial and (v) Annular. ---I ~ '" -5 .8 '" g c. '" , , , , , --------._--------------------------._----------------------------------.------------------._------------------------------------------, GP 6/40 ---------------------------------------------------------------------------------------------------------------------------------------., , , , , , , ---------------------------------------------------------------------------------------------------------------------------------------, [E] Q.13 What is an anticline? How does it differ from an antiform? In an east-west trending, doubly plunging antifonn, the northern limb dips steeper than the southern limb. Sketch this fold by stratum contours. ~M __ , ~ ~ a " . 3 ~ .s g " 0- m , , , , , , , , , , , , , , , , , , , ._----------------------------------------------------_.--------_.----._---------._---------._---------._.----------------------------_.' GP 8/40 ~ Q.14 Define the term sand. What is <I>-scale for measuring the grain size of sediments? Giving reasons, explain which one of the following two samples of sandstone has better sorting Standard Deviation (grain size, <I> ) Sample P 0.38 Sample Q 0.74 A sequence of sandstone, shale and limestone has undergone metamorphism. Name possible resultant metamorphic rocks. ~ .s ~ .a <Ll ?J "- rJ) , , , , , , , , , , , , , , , GP 9/40 '' .1 [!J Q.15 What is the difference between petroleum pool and petroleum field. What is a reservoir trap? Define the terms absolute porosity and effective porosity. -- - - ---- - - - --- ---1 '" " - '" -5 ..s '" 2en GP I0/40 [!J PHYSICS SECTION: (Objective Questions) Q.16 A lmiform electric field is directed at an angle e from vertical in a dielectric medium of permittivity 81. This field extends to another dielectric medium of permittivity 82 (82 > 81)' There is no charge at the interface between the two dielectric regions. Which of the following figure depicts correct electric field lines? I I I I (A) t'2 (B) (C) (D) Q.17 Consider an X-ray diffraction experiment using a cubic crystal. The smallest angle of Bragg scattering from (001) planes is 14.5 . The smallest angle of Bragg scattering from (002) planes would be (A) 14.5 (B) 21 (C) 30 (D) 42 Q.18 A container is filled with a liquid of density p and surface tension S. There is a bubble of radius r at a depth h below the surface of the liquid (see figure). Ph is the pressure inside the bubble whereas Po is atmospheric pressure. Ph-PO will be equal to Po l~ (A) Q.19 hpg (B) (h+ r)pg (C) hpg + "5 -r (D) hpg +: "5 In an experiment, two masses of a liquid, each being In, are taken. One mass is at temperature Tj whereas the other is at temperature T2 (T2>Tj ). These masses are mixed. The change in the entropy of the system is (A) (B) 2mCp ln [TeTTo ] (C) Q.20 mCpln["T~TT,] _.,/T~T:. 2m Cp In [2JTe ;, (D) 2mC In [TeTTo] T.-T_] 2../T~T:. p 2T:,.T:;:. Consider two reference frames S (xy) and S'( x'y'). S' is moving with a velocity v with respect to S along the common axes, x & x'. A rod of 1 meter length in S' makes an angle 20 with the x' -axis. The angle of the rod is observed to be 30 with respect to the x-axis in S. If c is the speed of light in free space, v is (A) 0.30 c (B) 0.50 c (C) 0.77 c (D) 0.90 c GP-11140 [!J PHYSICS SECTION: (Fill in the blank Questions) Q.21 A particle is thrown vertically upward with an initial velocity of 49 m/s from the ground. After rising vertically for 3 seconds, particle breaks into two pieces of mass ratio 1 : 3. The lighter mass acquires a horizontal velocity of 10 m/s at the instant of breaking. With respect to the point from where the particle was thrown initially, heavier piece will land at , _ _ _ _ _ _ _ _ _ . (g = 9.8 m/S") -------------------------------------------------------------------------------------------------------------------------------------- i M' , i Q.22 ~ Two equal masses, each being III (= 1 kg), are connected with two identical springs of spring constant k (200 N/m) as shown in the figure. The angular frequencies of the two normal _ modes of vertical oscillations are r,.;=~; n m n m m mn m. n.m. mn m .m.m m m m m m m. m m m m m m , m m m 1 wtV a k , , , I ~, ---------------------------------------------------------------------------------------------------------------' GP-12/40 ~ Q.23 A resistor R (2 Q), a capacitor C (2 mF) and an inductor L (4 mH) are connected in series with a generator operating at a frequency of 40 Hz in one experiment. The impedance of this circuit is Zs. In another experiment, the same R, C and L are connected in parallel to the same generator as shown in the figure. The impedance of this circuit is Zp. The ratio Z,IZp is R L c R L AW------------! ------------------------------------------------------------------_._------------------------------------------------------------------- Q.24 A plane electromagnetic (EM) wave is travelling in yz-plane at an angle 30 from y-axis. Motion is confmed in vacuum and the wavelength of the EM wave is 500 urn (1 urn = 10-9 m). Electric field, associated with the EM wave, is confmed along x-axis and has a magnitude of lOY/m. The expression of the associated magnetic field H would be i______________ Q.25 The activity of 3xlO-9 kg of a radioactive sample, 222 Rn, is 46 Ci. The activity of the same sample exactly after one hour, correct to one decimal digit, would be Ci _ 26 l lO (Avogadro's no = 6.025x10 kmor , I Ci = 3.7xlO decays/sec) f-------------------------------------------------------------------------------------------------------------------------------------- r l , , ! GP-13/40 ~ PHYSICS SECTION: (Descriptive Questions) Q.26 A disc of radius R/2 is removed from a disc of radius R as shown in the figure. Mass of the new structure is M. Find the moment of inertia of the new stmcture about an axis, which is normal to the plane of the disc and passing through the center (P) of the big disc. ----~--------------------~---------------------------- ------------------------------------.-----------------------------------------, ~ ~ .s ~ .B OJ ~ Co en GP 14/40 OI7/Sl-dD ----------------.----------------------------------------------------------.---------------------------------------------------------, ~ Q.27 A metallic hemispherical bowl is attached to a hollow metallic circular cylinder at the bottom as shown in the figure. Radius of hemisphere as well as of the cylinder is R. Height of the cylinder is h. Entire system carries a uniform surface charge density a: Find electric field (E) at point P. AY ; iR r- h /--pr~=~~~, 1 -------1 ~ ~ a .s II g c. Ul GP 16/40 ---------------------------------------------------------------------------------------------------------------------------------------1 I , , , , , , , , , , , , , , , , , , , , , !..-------------------------------,.------------------------.------------------.----------------------------------------------------------- ~ Q.28 A Calcite 4 plate is introduced between the two crossed polarizers (PI & P2) as shown in the figure. An unpolarized beam is incident nonnal to PI from left hand side. Write down the expressions for the electric fields associated with the beam after PI, after 4 plate and after P2. Also find the state-of-polarization after PI, after 4 plate and after P2 as observed by an observer shown in the figure. Optic axis (Fast axis) x . Pass aXIS + , + I Pass axis z ~ ......... ", }f) P, y 1J4 plate ------------1 ~ ,s " ~ <8 g " 0- CI) , , , , , , , , , , , , , , , , , ------------._----------------------_.-----------------.-------------------------------._---------------------------------.----------- GP 18/40 0I7/6I-d~ -------------------.-----------------.------------------------------------.-----------------.------------------------------------------1 , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , ------------------._-------.---------------------------------------------._----------------._------------------------------------------, [I] An ideal monatomic gas Cr = 5/3) is taken through a cyclic process ABCDA as shown in the figure. A.-7B is an isothermal expansion at temperature 900 K, B.-7C is an adiabatic expansion, C.-7D is an isothermal compression at temperature 300 K and D.-7A is an adiabatic compression. The volume at the point B is 60 liters. The volume and pressure at the point D are 30 liters and Po, respectively. Calculate pressure at points A, Band C. Also calculate volume at A and C. Q.29 p A B D c v ----.-------------------------------------------._-----------------------------._---------------------------.------------------------, , , , , , , , , , , , , , , , , , , , , , , , , , , , , ~ ~ Jj ~ .8 <.l g "- U) , , , , , , , , , , , , , , , , , , , , , , ----------------.----------------_.------------------------------------.-----------------_.----------------- ------------------------~ GP 20/40 r--------------~--~~--~-------------~---------------------------------~-------------------------------------------------~--------------1 ! i ~ Assume that the transistor shown in the figure is biased in the active region. Calculate the value of V CE, Ic and IE (take fJ = 100 and V BE = 0.7 volt). Q.30 +10 volt 3 k.Q 10 k.Q 2k.Q 1k.Q i.......----- .......--.- - ~ ~ ~ ~ .a g co. '" GP 22/40 -------~--------------------------------------------- , ----------------------------------------------------------------------------------, , \ I ! ! \ ,. i t. ~ ~ . ~ _ ~ MATHEMATICS SECTION: (Objective Questions) Q.31 The sum of the series L:;;' =Q. . 4 ': +6 ." is . tn-:-l j ~(n.2r (A) Q.32 2 (B) 1/4 (D) dx x - 3y + 3 (C) (B) 3x + Y + ce Y = 0 A unit normal vector to the surface ::2 = 4x 2 - -x + 3y - 3 + ce- Y = 0 (D) + ce Y = 0 -3x+y+ce Y =O 2y at the point (2, 0, 4) is (A) ~ (1+ 4] + 8k) (B) ~(8L+4]-k) (C) Q.34 1/2 The orthogonal trajectories of the family of curves represented by d)' = (x - 3 y) are (A) Q.33 (C) 1 H8L - ] + 4k) (D) H-SL +] + 4k) Let T: R2-7R3 be a linear transformation such that T(I, 2) = (1, 3, 2) and T(2, 3) = (0, 4, 2). Then T(lO, 17) is (A) Q.35 (2, 22, 12) (B) (6,26, 16) (C) Consider the polynomial {(x) = 2.-- (x 6 + 7x 5 1211 (4,24,14) + 4x 3 + 2x + 5). (D) (0, 20, 10) If the interval of differencing is 2, then the value of D. 6 {(x) is (A) 720 (B) 1920 (C) GP 24/40 384 (D) 320 ~ MATHEMATICS SECTION: (Fill in the blank Questions) Q.36 The area bounded by the :~An----s-;-------------------------------------------- : i i > Q.37 . 2y - 2:.: curves +1 = 0 y = x(:.: -1) and IS ------------------.------.---------------------------------------------------------., ] The solution of the differential equation yeO) = 5, :y (0) "x ~~ + :: - ! ! 1 6y = e 2x subject to the initial conditions = ~ is - - - - - - - - - - - - - , ,--------------------------------------------------------------------_.-------------------------_.-------------------------------------, ~s: i , , , , , !o An eigenvector of the matrix A = Q.38 , , , , [~ ~ ~] -7 1 is _ 0 lA;;"~:-------------------------------------------------------------------------------------------------------------------------------1 . Q.39 J A random sample of size 100 is taken from an infmite population. The population mean, f.l = 75 and the variance, (J"2 = 256. Using the centrallirnit theorem, the probability that the mean of the sample will fall between 73 and 77 is (correct to four decimal places). Given: If Z is the standard nonnal variate, then P(O < Z < 1.2) = 0.3849, P(O < Z < 1.25) = 0.3944 and P(O < Z < 1.3) = 0.4032. -------------------------------------------- ------------------------------------------------------------------- -----------------------1 ' , !~: i , ' : ' iL Q.40 The p(o) _ cubic = -2, p(l) : , __ _ _ polynomial p(x), which takes = 0, p(2) = 8,p(3) = 34 and p(4) = 90, is _ on values _ fAlls:--------------------------------------------------------------------------------------------------------------------------------, , , ''' , , '' , , , ''' , , '' , , '' , , '' , , ' , , ''' , ________________________________________________________________________________________________________________________________________1 GP-25/40 [I] MATHEMATICS SECTION; (Descriptive Questions) Find the maximum and minimum values of the function [(x) = xe- 1x - zl , -00 < x < oo. Q.41 ~ ~ .s ~ .8 " g, ell , , , , , , , , , , , , , , , , , , , , , , , t . GP-26/40 , ;----------------------------------------------------.,- ------------------------------------------------------ ---------------------------: , , ' ! ! l : l i ! , , , , .. _------------------------------------------------------------------------------------------------------------------------------------- [!J Q.42 Consider the region that lies inside the sphere x 2 + l + i = 2 and outside the cylinder x= + y2 = 1, Find the volume of this region using triple integral. ---------------------------------------._-----------------------------------------------------._------------ --------------------------~ , , , , , , , , , , ~ ,s " ~ ..s ~ 0- '" , , , , , , , , , , ._----------------------------------------------------.-----------------------------------------._-------------------------------------- GP-28/40 O\:l/6Z-dD ,-------------------------------------------------------------------------------------------------.-------------------------------------, , ' , , , ' '' i ' , , , , , , , , , , ------------------------.----------------------------------------------------------------------------.-------------------------------_.-' ~ Q.43 err, Use Stokes' theorem to evaluate Ie F where F = (x+ Z)I+ (2y- ::)}+ (x-z)k and C is the boundary of the triangle with vertices P (6, 0, 0), Q (0, 4, 0) and R (0, 0, 3). f--- ..--- ..--- .------ . . ---- ----- ~ ~ a ~ <E " aJ ~ Jf GP-30/40 ----- ---- ---- -- ----- - - 1 -------------------------------------------------------------------------------------------------------------------------------: , , , , , , , , , , , , , , !.._------------------------------------------------------------------------------------------------------------------------------------- ~ Q.44 In a university, 15% of the students are female and the remammg students are male. Furthermore, 10% of the male students and 2% of the female students are over 6 feet tall. A student is randomly selected and is observed to be over 6 feet tall. Find the probability (correct to three decimal places) that this student is a female. ~ " -5 .E - g 0. en -------------------------------------------------.-----------------------------------.----------------.----- --------------------------~ GP-32/40 ,---------------------------------------------------------------------------------------------------------------------------------------, : , , , , , , , i : ' '' '', , ' ' ! ! ! i 1 ! , , , , , , , , , , , , , , , , , ----------------------------------------------------------------------------------------------------------------------------------------, ~ Q.45 It was proposed to compare the average earnings per day of men and women in an industry. From a sample data of 60 men, it was observed that the average earning of men per day is Rs. 285 and a standard deviation is Rs.15. On the other hand, a sample data of 60 women showed their average earning as Rs. 251 per day and the standard deviation as Rs.18. Test the hypothesis that the average earning of men per day exceeds that of the women by more than Rs. 30. Use 0.05 level of significance. Given: If Z is the standard normal variate, then peO < Z < 1.645) = 0.45 and peO < Z < 1.96) = 0.475 ~ ~ a . j ~ <8 " i;j p. '" GP 34/40 ; ! ! :._---------------------------------------------------------------------------------------- , , , I ! J ~ Answer Table for Objective Questions Write the Code of your chosen answer only in the 'Answer' column against each Question Number. Do not write anything else on this page. GEOLOGY SECTION Question Number Do not write in this column 01 02 03 04 05 PHYSICS SECTION Question Number I Answer I Do not write in this column 16 17 18 19 20 MATHEMATICS SECTION Question Number I Answer I Do not write in this column 31 32 33 34 35 FOR EVALUATION ONLY GP-36/40 :l\.I0M q~ no.l .I0J I a;mds ~.I0M qli no.l .IoJ a;mds :lJ.lOM 0J7/6 -<ID qJlno.l .I0J a:mds :l\.I0M Ij~ no.l .IoJ <lauds ~ 2013-GP FOR EVALUATION ONLY - DO NOT WRITE ON THIS PAGE GEOLOGY SECTION Q.No. Marks Signature PHYSICS SECTION Q.No. Objective Part Marks Signature MATHEMATICS SECTION Q.No. Objective Part Marks Signature Objective Part Total Total Total 1-5 16-20 31-35 Fill in the Blank Part Fill in the Blank Part Fill in the Blank Part 6 21 36 7 22 37 8 23 38 9 24 39 10 25 40 Total Total Total 6-10 21-25 36-40 Descriptive Part Descriptive Part Descriptive Part 11 26 41 12 27 42 13 28 43 14 29 44 15 30 45 Total Total Total 11-15 26-30 41-45 Total (Objective Part) : Total (Fill in the blanks Part) : Total (Descriptive Part) GRAND TOTAL : Total Marks (in words) : Signature of Examiner(s) : Signature of Head Examiner(s) : Signature of Scrutinizer : Signature of Chief Scrutinizer : Signature of Coordinating Head Examiner :

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