jee adv sample testpaper resonet-2015

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Corporate Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)-324005

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Index

The sample test papers are only for reference and guidance. The sample papers given in the booklet are actually the papers of previous year'sResoNET conducted by Resonance for its various courses.Note : Resonance reserves the right to change the pattern of selection test (ResoNET). Pervious year papers do not guarantee that the papersfor this year selection test will be on the same pattern. However, the syllabus of the test paper will be equivalent to the syllabus of qualifying school/board examination and as given on page no. 4.

For More Practice of RESONANCE NATIONAL ENTRANCE TEST (ResoNET) - 2014Resonance selection test papers of last few years with answer key, hints & solutions are available on demand. Following sets of Practice TestPapers (PTPs), in hard copy, are available with us :

S.No. Sample PaperCode Details of PTPs Course (Code) Target Remark

1 Set-A 10 Papers Set for Class-X Appearing/Passed students VIKAAS (JA) &VIPUL (JB) JEE(Main + Advanced) 2016Answer key,

Hints & Solutions

2 Set-B 10 Papers Set for Class-XI Appearing/Passed students VISHW AAS (JF) JEE(Main + Advanced) 2015 Only Answer key

3 Set-C 10 Papers Set for Class-XII Appearing Passed students VISHESH (JD) &VIJAY (JR)

JEE(Main + Advanced) 2015 Answer key,Hints & Solutions

Interested students may collect the same from Resonance Study Centres or Corporate Office at Kota (at Plot No. A-46, A-52, Near City Mall,Jhalawar Road, Reception) by paying an additional fees of Rs.300/- only per set. Any of the above Practice Test Papers (PTPs) sets may beprocured through post / courier from 'Resonance Eduventures Pvt Ltd' by sending a Bank Demand Draft (DD) of Rs. 300/- in favour of'Resonance' and payable at Kota. A student may send the request application on plain paper along with prerequisite fees to the institute to collectany of the sets of Practice Test Papers (PTPs). Please, mention clearly your name and roll number (Application Form No.) on the back of the DDand which set of Practice Test Papers (Set A, B or C) is required by you in the request application.Resonance Selection Test Papers of last few years with Answer key, Hints & Solutions are available on demand. ResoNET Papers are availableOnline too.ResoNET Online Practice Test Papers (OPTPs) :

S. No. Details of OPTPs Course Code Target Fee(Taxes included)

1 3 Tests for Class-X Appearing/Passed students VIKAAS (JA) & VIPUL (JB) JEE(Main + Advanced) 2017 Rs. 300/-

2 6 Tests for Class-X Appearing/Passed students VIKAAS (JA) & VIPUL (JB) JEE(Main + Advanced) 2017 Rs. 500/-

3 3 Tests for Class-XI Appearing/Passed students VISHWAAS (JF) JEE(Main + Advanced) 2016 Rs. 300/-

4 6 Tests for Class-XI Appearing/Passed students VISHWAAS (JF) JEE(Main + Advanced) 2016 Rs. 500/-

5 3 Tests for Class-XII Appearing/Passed students VISHESH (JD) & VIJAY (JR) JEE(Main + Advanced) 2016 Rs. 300/-

6 6 Tests for Class-XII Appearing/Passed students VISHESH (JD) & VIJAY (JR) JEE(Main + Advanced) 2016 Rs. 500/-

Students can buy these Online Test papers at http://elpd.resonance.ac.in

Sample Test Paper (STP) For ResoNET-2015S.No. Contents Target PageNo.

1 How to Prepare for the Resonance National Entrance Test (ResoNET)-2015 ResoNET 2015 2

2 General Instructions for the Examination Hall ResoNET 2015 3

3 Syllabus for ResoNET-2015 ResoNET 2015 4

4 Sample Test Paper- I : For Class-X Appearing/Passed students (Moving from Class-X toClass-XI ) For the students applying for VIKAAS (JA) & VIPUL (JB) Courses JEE(Main + Advanced) 2017 9

5 Sample Test Paper-I Answer key & Hints & Solution : For Class-X Appearing/Passed students(Moving from Class-X to Class-XI ) For the students applying for VIKAAS (JA) & VIPUL (JB) Courses

JEE(Main + Advanced) 2017 21

6 Sample Test Paper-II : For Class-XI Appearing / Passed students (Moving from Class-XI to Class-XII).For the students applying for VISHWAAS (JF) Course JEE(Main + Advanced) 2016 30

7 Sample Test Paper-II Answer key & Hints & Solution : For Class-XI Appearing / Passed students(Moving from Class-XI to Class-XII).For the students applying for VISHWAAS (JF) Course JEE(Main + Advanced) 2016 46

8 Sample Test Paper-III : For Class-XII Appearing / Passed students (Moving from Class-XII to Class-XIII) For the students applying for VISHESH (JD) & VIJAY (JR) Courses JEE(Main + Advanced) 2016 58

9 Sample Test Paper-III Answer key & Hints & Solution : For Class-XII Appearing / Passed students(Moving from Class-XII to Class-XIII) For the students applying for VISHESH (JD) & VIJAY (JR) Courses JEE(Main + Advanced) 2016 73

10 Sample ORS Answer Sheet for Resonance National Entrance Test (ResoNET)-2015 ResoNET 2015 85

Copyright reserved 2015-16.All rights reserved. Any photocopying, publishing or reproduction of full or any part of this material is strictly prohibited. This material belongs to onlythe applicants of RESONANCE for its various Selection Tests (ResoNET) to be conducted for admission in Academic Session 2014-15. Any sale/resaleof this material is punishable under law. Subject to Kota Jurisdiction only.

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HOW TO PREPARE FOR THE RESONANCE NATIONAL ENTRANCE TEST (ResoNET) - 2015

For Class-X appearing / passed students (Class-X to Class-XI Moving) :

Study thoroughly the books of Science (Physics & Chemistry) and Maths of ClassesIX & X. (NCERT & Respective Board)

For Class-XI appearing / passed students (Class-XI to Class-XII Moving):1. Study thoroughly the books of Physics, Chemistry and Maths of Class XI (Respective

Board).

2. Refer to the following books (only Class-XI syllabus) to increase the level of competence:

For Physics : Concepts of Physics by H.C. Verma Vol. I & II For Chemistry : NCERT Books For Maths : Higher Algebra By Hall & Knight; Co-ordinate Geometry By

S.L. Loney ; Plane Trigonometry By S.L. Loney

For Class-XII appearing / passed students (Class-XII to Class-XIII Moving):

1. Study thoroughly the books of Physics, Chemistry and Maths of Classes XI & XII(Respective Board).

2. Refer to the following books (Class-XI & Class-XII syllabus) to increase the level ofcompetence :

For Physics : Concepts of Physics by H.C. Verma Vol-I & II

For Chemistry : Physical Chemistry By R.K. Gupta, Organic Chemistry ByMorrison & Boyd, Organic Chemistry By I. L. Finar, Inorganic Chemistry By J.D.Lee, Objective Chemistry By Dr. P. Bahadur

For Maths : Higher Algebra By Hall & Knight; Co-ordinate Geometry By S.L.Loney; Plane Trigonometry By S.L. Loney, Differential Calculus By G.N. Berman;Integral Calculus By Shanti Narayan; Vector Algebra By Shanti Narayan ; MCQBy A Das Gupta.

Note : For further practice, a set of several Practice Test Papers (PTPs) of Resonance may beprocured from the institute. For this, the details are available on Page No.1.

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GENERAL INSTRUCTIONS IN THE EXAMINATION HALL(ijh{kk Hkou ds fy, lkekU; funsZ'k)

1. This booklet is your Question Paper. ;g iqfLrdk vkidk iz'u&i=k gS2. The Question Paper Code is printed on the top right corner of this sheet. iz'u&i=k dksM bl i`"B

ds ij nk;sa dksus esa Nik gqvk gS3. Blank papers, clip boards, log tables, slide rule, calculators, mobile or any other electronic

gadgets in any form are not allowed to be used. [kkyh dkxt] fDyi cksMZ] y?kqx.kd lkj.kh] LykbM:y] dSYdqysVj] eksckby ;k vU; fdlh bySDVWkfud midj.k ds fdlh Hkh :i esa mi;ksx dh vkKk ugha gS

4. Write your Name & Application Form Number in the space provided in the bottom of thisbooklet. (bl i`"B ds uhps fn;s x;s fjDr LFkku esa viuk uke o vkosnu QkWeZ la[;k vo'; Hkjsa

5. Before answering the paper, fill up the required details in the blank space provided in the ObjectiveResponse Sheet (ORS). (iz'u&i=k gy djus ls igys] ORS&'khV esa fn;s x;s fjDr LFkkuksa esa iwNs x;sfooj.kksa dks Hkjsa

6. Do not forget to mention your paper code and Application Form Number neatly and clearly inthe blank space provided in the Objective Response Sheet (ORS) / Answer Sheet. mkj&iqfLrdkesa fn;s x;s fjDr LFkku esa vius iz'u&i=k dk dksM o viuk vkosnu QkWeZ la[;k Li"V :i ls Hkjuk uk Hkwysa

7. No rough sheets will be provided by the invigilators. All the rough work is to be done in the blankspace provided in the question paper. fujh{kd ds }kjk dksbZ jQ 'khV ugha nh tk;sxhA jQ dk;Z iz'u&i=kesa fn;s x;s [kkyh LFkku esa gh djuk gS

8. No query related to question paper of any type is to be put to the invigilator.fujh{kd ls iz'u&i=k ls lEcfU/kr fdlh izdkj dk dksbZ iz'u uk djsas

Question Paperiz'u&i=k

9. Marks distribution of questions is as follows. iz'uksa ds izkIrkadks dk fooj.k fuEu izdkj ls gSA

Correct Wrong Blank

1 to 20 35 to 42 47 to 54Only one correct

(dsoy ,d fodYi lgh) 3 -1 0

21 to 24 43 to 46 55 to 58One or more than one correct Answer

(,d ;k ,d ls vf/kd fodYi lgh) 4 0 025 to 32 Comprehensions (vuqPNsn) 4 0 0

33 to 34Matrix Match Type(eSfVDl lqesy izdkj) 6 [1, 2, 3, 6] 0 0

Marks to be awardedPart - I(Mathematics)

Part - II(Physics)

Part - III(Chemistry) Type

Name : _________________________________ Application Form Number : _______________

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CLASS - X (CHEMISTRY)Basic : Cooling by evaporation. Absorption of heat. All things accupyspace, possess mass. Definition of matter ; Elementary idea aboutbonding.

Solid, liquid and gas : characteristics-shape, volume, density;change of state - melting, freezing, evaporation, condensation,sublimation.

Elements, compounds and mixtures :Heterogeneous andhomogeneous mixtures; Colloids and suspension.

Mole concept : Equivalence - that x grams of A is chemically notequal to x grams of B ; Partical nature, basic units : atoms andmolecules ; Law of constant proportions ; Atomic and molecularmasses;Relationship of mole to mass of the particles and numbers ;Valency ; Chemical formulae of common compounds.

Atomic structure : Atoms are made up of smaller particles :electrons, protons, and neutrons. These smaller particles are presentin all the atoms but their numbers vary in different atoms.Isotopes and isobars.

Gradations in properties : Mendeleev periodic table.

Acids, bases and salts : General properties, examples and uses.Types of chemical reactions : Combination, decomposition,displacement, double displacement, precipitation, neutralisation,oxidation and reduction in terms of gain and loss of oxygen andhydrogen.

Extractive metallurgy : Properties of common metals ; Briefdiscussion of basic metallurgical processes.

Compounds of Carbon : Carbon compounds ; Elementary ideaabout bonding ; Saturated hydrocarbons, alcohols, carboxylic acids(no preparation, only properties).Soap - cleansing action of soap.CLASS - X (MATHEMATICS)Number Systems :Natural Numbers, Integers, Rational number on the number line. Even- odd integers, prime number, composite numbers, twin primes,divisibility tests, Co-prime numbers, LCM and HCF of numbers.Representation of terminating/non-terminating recurring decimals, onthe number line through successive magnification. Rational numbersas recurring/terminating decimals. Ratio and proportions.

Polynomials :Polynomial in one variable and its Degree. Constant, Linear, quadratic,cubic polynomials; monomials, binomials, trinomials, Factors andmultiplex. Zeros/roots of a polynomial/equation.Remainder theorem, Factor Theorem. Factorisation of quadratic andcubic polynomialsStandard form of a quadratic equation ax2 + bx + c = 0, (a 0).Relation between roots and coefficient of quadratic and relationbetween discriminant and nature of roots.

Linear Equation :Linear equation in one variable and two variable and their graphs.Pair of linear equations in two variables and their solution andinconsistency

Arithmetic Progressions (AP) :Finding the nth term and sum of first n terms.

Trigonometry :Trigonometric ratios of an acute angle of a right-angled triangle,Relationships between the ratios.Trigonometric ratios of complementary angles and trigonometricidentities. Problems based on heights and distances.

Coordinate Geometry :The cartesian plane, coordinates of a point, plotting points in theplane, distance between two points and section formula (internal).Area of triangle. Properties of triangle and quadrilateral. (Square,Rectangle rhombus, parallelogram).

Geometry :Lines :Properties of parallel and perpendicular lines.Triangle :Area of a triangle, Properties of triangle, similarity and congruencyof triangles.Medians, Altitudes, Angle bisectors and related centres.Geometrical representation of quadratic polynomials.Circle :Properties of circle, Tangent, Normal and chords.

Mensuration :Area of triangle using Herons formula and its application in findingthe area of a quadrilateral.Area of circle ; Surface areas and volumes of cubes, cuboids,spheres (including hemispheres) and right circular cylinders/conesand their combinations.

Statistics :Mean, median, mode of ungrouped and grouped data.

Probability :Classical definition of probability, problems on single events.

Logarithm & exponents :Logarithms and exponents and their properties.

Interest :Problem based on simple interest, compound interest and discounts.

Mental Ability :Problem based on data interpretation, family relations, Logicalreasoning.

Direct & Indirect variations :Ratios & proportions, Unitary method, Work and time problems.

CLASS - X (PHYSICS)Mechanics : Uniform and non-uniform motion along a straight line ;Concept of distance and displacement, Speed and velocity,accelaration and relation ship between these ; Distance-time andvelcocity - time graphs.Newtons Law of motion ; Relationship between mass, momentum,force and accelaration ; work done by a force ; Law of conserva-tion of energy.Law of gravitation ; acceleration due to gravity.Electricity and magnetism : Ohms law ; Series and parallel com-bination of resistances ; Heating effect of current.

Magnetic field near a current carrying straight wire, along the axisof a circular coil and inside a solenoid ; Force on current carryingconductor ; Flemings left hand rule ; Working of electric motor ;Induced potential difference and current

Electric generator : Principle and working ; Comparision of AC andDC ; Domestic electric circuits.

Optics : Rectilinear propagation of light ; Basic idea of concavemirror and convex lens ; Laws of refraction ; Dispersion.

CLASS - XI (CHEMISTRY)Some Basic Concepts of Chemistry : Particulate nature of matter,laws of chemical combination, Daltons atomic theory : concept ofelements, atoms and molecules.

Syllabus of ResoNET-2015

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Atomic and molecular masses. Mole concept and molar mass ;percentage composition and empirical and molecular formula ;chemical reactions, stoichiometry and calculations based onstoichiometry.Structure of Atom : Discovery of electron, proton and neutron ;atomic number, isotopes and isobars.Thompsons model and its limitations, Rutherfords model and itslimitations, concept of shells and sub-shells, dual nature of matterand light, de Broglies relationship, Heisenberg uncertainty principle,concept of orbitals, quantum numbers, shapes of s, p, and d orbitals,rules for filling electrons in orbitals - Aufbau principle, Pauli exclusionprinciple and Hunds rule, electronic configuration of atoms, stabilityof half filled and completely filleld orbitals.

Classification of Elements and Periodicity in Properties :Significance of classification, brief history of the development ofperiodic table, trends in properties of elements - atomic radii, ionicradii, inert gas radii, ionization enthalpy, electron gain enthalpy,electronegativity, valence.

Chemical Bonding and Molecular Structure :Valence electrons, ionic bond, covalent bond, bond parameters, Lewisstructure, polar character of covalent bond, covalent character ofionic bond, valence bond theory, resonance, geometry of covalentmolecules, VSEPR theory, concept of hybridization involving s, p andd orbitals and shapes of some simple molecules,molecular orbital theory of homonuclear diatomic molecules (qualitativeidea only), hydrogen bond.

States of Matter : Gases and Liquids :Three states of matter, intermolecular interactions, type of bonding,melting and boiling points, role of gas laws in elucidating the conceptof the molecule, Boyles law, Charles law, Gay Lussacs law,Avogadros law, ideal behavior, empirical derivation of gas equation,Avogadros number ideal gas equation, deviation from ideal behaviour,Liquefaction of gases, critical temperature.Liquid State - Vapour pressure, viscosity and surface tension(qualitative idea only, no mathematical derivations)Thermodynamics :Concepts of system, types of systems, surroundings, work, heat,energy, extensive and intensive properties, state functions.First law of thermodynamics - internal energy and enthalpy, heatcapacity and specific heat, measurement of U and H, Hesss lawof constant heat summation, enthalpy of bond dissociation,combustion, formation, atomization sublimation, phase transition, ion-ization, and dilution.Introduction of entropy as a state function, free energy change forspontaneous and non-spontaneous process, equilibrium.

Equilibrium : Equilibrium in physical and chemical processes,dynamic nature of equilibrium, law of mass action, equilibriumconstant, factors affecting equilibrium - Le Chateliers principle ;ionic equilibrium - ionization of acids and bases, strong and weakelectrolytes, degree of ionization concept of pH. Hydrolysis of Salts(elementary idea), buffer solutions, solubility product, common ioneffect (with illustrative examples).

Redox Reactions : Concept of oxidation and reduction, redox re-actions,oxidation number, balancing redox reactions, applications of redoxreaction.

Hydrogen : Position of hydrogen in periodic table, occurrence, iso-topes, preparation, properties and uses of hydrogen ; hydrides -ionic, covalent and interstitial ; physical and chemical properties ofwater, heavy water ; hydrogen peroxide - preparation, reactionsand structure ; hydrogen as a fuel.

s-Block Elements (Alkali and Alkaline Earth Metals) :Group 1 and Group 2 elements :General introduction, electronic configuration, occurrence, anomalousproperties of the first element of each group, diagonal relationship,trends in the variation of properties (such as ionization enthalpy,atomic and ionic radii), trends in chemical reactivity with oxygen,water, hydrogen and halogens ; uses.

Preparation and properties of some important compoundsSodium carbonate, sodium chloride, sodium hydroxide and sodiumhydrogen carbonateCaO, CaCO3, and industrial use of lime and limestone, Ca.

General Introduction to p-Block Elements :Group 13 elements : General introduction, electronic configuration,occurrence, variation of properties, oxidation states, trends in chemi-cal reactivity, anomalous properties of first element of the group ;Boron - physical and chemical properties, some important compounds; borax, boric acids, boron hydrides. Aluminium : uses, reactionswith acids and alkalies.Group 14 elements ; General introduction, electronic configuration,occurrence, variation of properties, oxidation states, trends inchemical reactivity, anomalous behaviour of first element. Carbon -catenation, allotropic forms, physical and chemical propeties ; usesof some important compounds : oxides.Important compounds of silicon and a few uses : silicon tetrachlo-ride, silicones, silicates and zeolites.

Principles of qualitative analysis : Determinantion of one anionand one cation in a given saltCations - Pb2 + , Cu2+, As3+, Al3+, Fe3+, Mn2+, Ni2 +, Zn2+, Co2+, Ca2+, Sr2+,Ba2+, Mg2+, 4NH

Anions - ,NO,SO,SO,S,CO 22423223

32

423

4

33 COOCHOC,PO,,Br,Cl,NO,NO

(Note : Insoluble salts excluded)

Organic chemistry - Some Basic Principles and TechniquesGeneral introduction, methods of purification, qualitative andquantitative analysis, classification and IUPAC nomenclature oforganic compounds.Electronic displacements in a covalent bond : free radicals,carbocations, carbanions ; electrophiles and nucleophiles, types oforganic reactions

Classification of Hydrocarbons : Alkanes : Nomenclature,isomerism, conformations (ethane only), physical propeties,chemical reactions including free radical mechanism ofhalogenation, combustion and pyrolysis.

Alkenes : Nomenclatures, structure of double bond (ethene),geometrical isomerism, physical properties, methods of preparation; chemical reactions : addition of hydrogen, halogen, water, hydro-gen halides (Markovnikovs addition and peroxide effect),ozonolysis, oxidation, mechanism of electrophilic addition.Alkynes : Nomenclature, structure of triple bond (ethyne), physicalproperties, methods of preparation, chemical reactions : acidiccharacter of alkynes, addition reaction of - hydrogen, halogens,hydrogen halides and water.

Aromatic hydrocarbons : Introduction, IUPAC nomenclature ;Benzene : resonance, aromaticity ; chemical properties : mechanismof electrophilic substitution - nitration sulphonation, halogenation,Friedel Crafts alkylation and acylation ; directive influence of func-tional group in mono-substituted benzene ; carcinogenicity and tox-icity.

CLASS - XI (MATHEMATICS)Functions :Sets and their representations. Empty, finite and infinite sets, Subsets,Union and intersection of sets, Venn diagrams.Pictorial representation of a function domain, co-domain and rangeof a function domain and range of constant, identity, polynomial,rational, modulus, signum and greatest integer functions with theirgraphs. Sum, difference, product and quotients of functions.Trigonometric Functions :Measuring angles in radians and in degrees and conversion fromone measure to another. Signs of trigonometric functions and sketchof their graphs. Addition and subtraction formulae, formulae involvingmultiple and sub-multiple angles. General solution oftrigonometric equations.

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Complex NumberAlgebra of complex numbers, addition, multiplication, conjugation,polar representation, properties of modulus and principal argument,triangle inequality, cube roots of unity, geometric interpretations.

Quadratic equations :Quadratic equations with real coefficients, formation of quadraticequations with given roots, symmetric functions of roots.Sequence & Series :Arithmetic, geometric and harmonic progressions, arithmetic,geometric and harmonic means, sums of finite arithmetic andgeometric progressions, infinite geometric series, sums of squaresand cubes of the first n natural numbers.

Logarithm & exponents :Logarithms and exponents and their properties. Exponential andlogarithmic series.

Binomial Theorem :Binomial theorem for a positive integral index, properties of binomialcoefficients. Binomial theorem for any index.

Permutations and combinations :Problem based on fundamental counting principle, Arrangement ofalike and different objects, Circular permutation, Combination,formation of groups.

Straight Line :Cartesian coordinates, distance between two points, sectionformulae, shift of origin. Equation of a straight line in various forms,angle between two lines, distance of a point from a line; Lines throughthe point of intersection of two given lines equation of the bisector ofthe angle between two lines, concurrency of lines; Centroid,orthocentre, incentre and circumcentre of a triangle.

Conic Sections :Equation of a circle in various forms, equations of tangent, normaland chord. Parametric equations of a circle, intersection of a circlewith a straight line or a circle, equation of a through the points ofintersection of two circles and those of a circle and a straight line.Equations of a parabola, ellipse and hyperbola in standard form, theirfoci, directrices and eccentricity, parametric equations, equations oftangent and normal locus problems.Mental Ability :Problem based on data interpretation, family relations & Logicalreasoning.

CLASS - XI (PHYSICS)General : Units and dimensions, dimensional analysis; least count,significant figures; Methods of measurement and error analysis forphysical quantities pertaining to the following experiments:Experiments based on using Vernier calipers and screw gauge(micrometer), Determination of g using simple pendulum, Youngsmodulus by Searles method.Mechanics : Kinematics in one and two dimensions (Cartesiancoordinates only), projectiles; Uniform Circular motion; Relativevelocity.Newtons laws of motion; Inertial and uniformly accelerated framesof reference; Static and dynamic friction; Kinetic and potential en-ergy; Work and power; Conservation of linear momentum and me-chanical energy.Systems of particles; Centre of mass and its motion; Impulse; Elasticand inelastic collisions.Law of gravitation; Gravitational potential and field; Acceleration dueto gravity; Motion of planets and satellites in circular orbits; Escapevelocity.Rigid body, moment of inertia, parallel and perpendicular axestheorems, moment of inertia of uniform bodies with simplegeometrical shapes; Angular momentum; Torque; Conservation ofangular momentum; Dynamics of rigid bodies with fixed axis ofrotation; Rolling without slipping of rings, cylinders and spheres;Equilibrium of rigid bodies; Collision of point masses with rigid bodies.

Linear and angular simple harmonic motions.

Hookes law, Youngs modulus.

Pressure in a fluid; Pascals law; Buoyancy; Surface energy andsurface tension, capillary rise; Viscosity (Poiseuilles equationexcluded), Stokes law; Terminal velocity, Streamline flow, equationof continuity, Bernoullis theorem and its applications.

Waves : Wave motion (plane waves only), longitudinal andtransverse waves, superposition of waves; Progressive andstationary waves; Vibration of strings and air columns;Resonance;Beats; Speed of sound in gases; Doppler effect (in sound).

Thermal physics : Thermal expansion of solids, liquids and gases;Calorimetry, latent heat; Heat conduction in one dimension; Elemen-tary concepts of convection and radiation; Newtons law of cooling;Ideal gas laws; Specific heats (Cv and Cp for monoatomic and di-atomic gases); Isothermal and adiabatic processes, bulk modulus ofgases; Equivalence of heat and work; First law of thermodynamicsand its applications (only for ideal gases); Blackbody radiation:absorptive and emissive powers; Kirchhoffs law; Wiens displace-ment law, Stefans law.

CLASS - XII (CHEMISTRY)Physical ChemistryGeneral topics : Concept of atoms and molecules; Daltons atomictheory; Mole concept; Chemical formulae; Balanced chemicalequations; Calculations (based on mole concept) involving commonoxidation-reduction, neutralisation, and displacement reactions;Concentration in terms of mole fraction, molarity, molality and normality.Gaseous and liquid states : Absolute scale of temperature, idealgas equation; Deviation from ideality, van der Waals equation; Kinetictheory of gases, average, root mean square and most probablevelocities and their relation with temperature; Law of partialpressures; Vapour pressure; Diffusion of gases.Atomic structure and chemical bonding : Bohr model, spectrumof hydrogen atom, quantum numbers; Wave-particle duality, de Brogliehypothesis; Uncertainty principle; Qualitative quantum mechanicalpicture of hydrogen atom, shapes of s, p and d orbitals; Electronicconfigurations of elements (up to atomic number 36); Aufbau principle;Paulis exclusion principle and Hunds rule; Orbital overlap and covalentbond; Hybridisation involving s, p and d orbitals only; Orbital energydiagrams for homonuclear diatomic species; Hydrogen bond; Polarityin molecules, dipole moment (qualitative aspects only); VSEPR modeland shapes of molecules (linear, angular, triangular, square planar,pyramidal, square pyramidal, trigonal bipyramidal, tetrahedral andoctahedral).

Energetics : First law of thermodynamics; Internal energy, workand heat, pressure-volume work; Enthalpy, Hesss law; Heat ofreaction, fusion and vapourization; Second law of thermodynamics;Entropy; Free energy; Criterion of spontaneity.

Chemical equilibrium : Law of mass action; Equilibrium constant,Le Chateliers principle(effect of concentration, temperature and pressure); Significanceof G and Go in chemical equilibrium; Solubility product, commonion effect, pH and buffer solutions; Acids and bases (Bronsted andLewis concepts); Hydrolysis of salts.

Electrochemistry : Electrochemical cells and cell reactions;Standard electrode potentials; Nernst equation and its relation to DG;Electrochemical series, emf of galvanic cells; Faradays laws ofelectrolysis; Electrolytic conductance, specific, equivalent and molarconductivity, Kohlrauschs law; Concentration cells.

Chemical kinetics : Rates of chemical reactions; Order ofreactions; Rate constant; First order reactions; Temperaturedependence of rate constant (Arrhenius equation).

Solid state : Classification of solids, crystalline state, seven crystalsystems (cell parameters a, b, c, ), close packed structure of solids(cubic), packing in fcc, bcc and hcp lattices; Nearest neighbours,ionic radii, simple ionic compounds, point defects.

Solutions : Raoults law; Molecular weight determination fromlowering of vapour pressure, elevation of boiling point and depressionof freezing point.

Surface chemistry : Elementary concepts of adsorption (excludingadsorption isotherms); Colloids: types, methods of preparation andgeneral properties; Elementary ideas of emulsions, surfactants andmicelles (only definitions and examples).

Nuclear chemistry : Radioactivity: isotopes and isobars; Propertiesof rays; Kinetics of radioactive decay (decay series excluded),carbon dating; Stability of nuclei with respect to proton-neutron ratio;Brief discussion on fission and fusion reactions.

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Inorganic ChemistryIsolation/preparation and properties of the following non-metals : Boron, silicon, nitrogen, phosphorus, oxygen, sulphur andhalogens; Properties of allotropes of carbon(only diamond and graphite), phosphorus and sulphur.Preparation and properties of the following compounds :Oxides, peroxides, hydroxides, carbonates, bicarbonates, chloridesand sulphates of sodium, potassium, magnesium and calcium; Boron:diborane, boric acid and borax; Aluminium: alumina, aluminium chlorideand alums; Carbon: oxides and oxyacid (carbonic acid); Silicon:silicones, silicates and silicon carbide; Nitrogen: oxides, oxyacidsand ammonia; Phosphorus: oxides, oxyacids (phosphorus acid,phosphoric acid) and phosphine; Oxygen: ozone and hydrogenperoxide; Sulphur: hydrogen sulphide, oxides, sulphurous acid,sulphuric acid and sodium thiosulphate; Halogens: hydrohalic acids,oxides and oxyacids of chlorine, bleaching powder; Xenon fluorides.

Transition elements (3d series) : Definition, generalcharacteristics, oxidation states and their stabilities, colour (excludingthe details of electronic transitions) and calculation of spin (onlymagnetic moment), Coordination compounds: nomenclature ofmononuclear coordination compounds, cis-trans and ionisationisomerisms, hybridization and geometries of mononuclearcoordination compounds (linear, tetrahedral, square planar andoctahedral).

Preparation and properties of the following compounds :Oxides and chlorides of tin and lead; Oxides, chlorides and sulphatesof Fe2+, Cu2+ and Zn2+; Potassium permanganate, potassiumdichromate, silver oxide, silver nitrate, silver thiosulphate.

Ores and minerals : Commonly occurring ores and minerals ofiron, copper, tin, lead, magnesium, aluminium, zinc and silver.

Extractive metallurgy : Chemical principles and reactions only(industrial details excluded); Carbon reduction method (iron and tin);Self reduction method (copper and lead); Electrolytic reduction method(magnesium and aluminium); Cyanide process (silver and gold).

Principles of qualitative analysis : Groups I to V (only Ag+, Hg2+,Cu2+, Pb2+, Bi3+, Fe3+, Cr3+, Al3+, Ca2+, Ba2+, Zn2+, Mn2+ and Mg2+);Nitrate, halides (excluding fluoride), sulphate and sulphide.

Organic ChemistryConcepts : Hybridisation of carbon; Sigma and pi-bonds; Shapesof simple organic molecules; Structural and geometrical isomerism;Optical isomerism of compounds containing up to two asymmetriccentres, (R,S and E,Z nomenclature excluded); IUPAC nomenclatureof simple organic compounds (only hydrocarbons, mono-functionaland bi-functional compounds); Conformations of ethane and butane(Newman projections); Resonance and hyperconjugation; Keto-enoltautomerism; Determination of empirical and molecular formulae ofsimple compounds (only combustion method); Hydrogen bonds:definition and their effects on physical properties of alcohols andcarboxylic acids; Inductive and resonance effects on acidity andbasicity of organic acids and bases; Polarity and inductive effects inalkyl halides; Reactive intermediates produced during homolytic andheterolytic bond cleavage; Formation, structure and stability ofcarbocations, carbanions and free radicals.Preparation, properties and reactions of alkanes : Homologousseries, physical properties of alkanes (melting points, boiling pointsand density); Combustion and halogenation of alkanes; Preparationof alkanes by Wurtz reaction and decarboxylation reactions.

Preparation, properties and reactions of alkenes and alkynes: Physical properties of alkenes and alkynes (boiling points, densityand dipole moments); Acidity of alkynes; Acid catalysed hydration ofalkenes and alkynes (excluding the stereochemistry of addition andelimination); Reactions of alkenes with KMnO4 and ozone; Reductionof alkenes and alkynes; Preparation of alkenes and alkynes byelimination reactions; Electrophilic addition reactions of alkenes withX2, HX, HOX and H2O (X=halogen); Addition reactions of alkynes;Metal acetylides.Reactions of Benzene : Structure and aromaticity; Electrophilicsubstitution reactions: halogenation, nitration, sulphonation, Friedel-Crafts alkylation and acylation; Effect of ortho, meta and para directinggroups in monosubstituted benzenes.

Phenols : Acidity, electrophilic substitution reactions (halogenation,nitration and sulphonation); Reimer-Tieman reaction, Kolbe reaction.

Characteristic reactions of the following (including thosementioned above): Alkyl halides: rearrangement reactions of alkyl carbocation, Grignardreactions, nucleophilic substitution reactions; Alcohols:esterification, dehydration and oxidation, reaction with sodium,phosphorus halides, ZnCl2/concentrated HCl, conversion of alcoholsinto aldehydes and ketones; Ethers:Preparation by WilliamsonsSynthesis; Aldehydes and Ketones: oxidation, reduction, oximeand hydrazone formation; aldol condensation, Perkin reaction;Cannizzaro reaction; haloform reaction and nucleophilic additionreactions (Grignard addition); Carboxylic acids: formation of esters,acid chlorides and amides, ester hydrolysis; Amines: basicity ofsubstituted anilines and aliphatic amines, preparation from nitrocompounds, reaction with nitrous acid, azo coupling reaction ofdiazonium salts of aromatic amines, Sandmeyer and related reactionsof diazonium salts; carbylamine reaction; Haloarenes: nucleophilicaromatic substitution in haloarenes and substituted haloarenes(excluding Benzyne mechanism and Cine substitution).

Carbohydrates: Classification; mono- and di-saccharides (glucoseand sucrose); Oxidation, reduction, glycoside formation andhydrolysis of sucrose.

Amino acids and peptides : General structure (only primarystructure for peptides) and physical properties.

Properties and uses of some important polymers : Naturalrubber, cellulose, nylon, teflon and PVC.

Practical organic chemistry : Detection of elements (N, S,halogens); Detection and identification of the following functionalgroups: hydroxyl (alcoholic and phenolic), carbonyl (aldehyde andketone), carboxyl, amino and nitro; Chemical methods of separationof mono-functional organic compounds from binary mixtures.

CLASS - XII (MATHEMATICS)Complex Number and Quadratic equations :Algebra of complex numbers, addition, multiplication, conjugation,polar representation, properties of modulus and principal argument,triangle inequality, cube roots of unity, geometric interpretations.Quadratic equations with real coefficients, formation of quadraticequations with given roots, symmetric functions of roots.

Sequence & Series :Arithmetic, geometric and harmonic progressions, arithmetic,geometric and harmonic means, sums of finite arithmetic andgeometric progressions, infinite geometric series, sums of squaresand cubes of the first n natural numbers.

Logarithms and their properties. Permutations and combinations,Binomial theorem for a positive integral index, properties of binomialcoefficients.Binomial theorem for any index, exponential and logarithmic series.

Matrices & Determinants :Matrices as a rectangular array of real numbers, equality of matrices,addition, multiplication by a scalar and product of matrices, transposeof a matrix, determinant of a square matrix of order up to three,inverse of a square matrix of order up to three, properties of thesematrix operations, diagonal, symmetric and skew- symmetric matricesand their properties, solutions of simultaneous linear equation in twoor three variables.

Probability :Addition and multiplication rules of probability, conditional probability,bayes theorem, independence of events, computation of probabilityof events using permutations and combinations.

Straight Line :Cartesian coordinates, distance between two points, sectionformulae, shift of origin. Equation of a straight line in various forms,angle between two lines, distance of a point from a line; Lines throughthe point of intersection of two given lines equation of the bisector ofthe angle between two lines, concurrency of lines; Centroid,orthocentre, incentre and circumcentre of a triangle.

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Conic Section :Equation of a circle in various forms, equations of tangent, normaland chord. Parametric equations of a circle, intersection of a circlewith a straight line or a circle, equation of a through the points ofintersection of two circles and those of a circle and a straight line.Equations of a parabola, ellipse and hyperbola in standard form, theirfoci, directrices and eccentricity, parametric equations, equations oftangent and normal locus problems.

Three dimensions :Direction cosines and direction ratios, equation of a straight line inspace, equation of a plane, distance of a point from a plane

Vectors :Addition of vectors, scalar multiplication, dot and cross products,scalar triple products and their geometrical interpretations. Positionvector of a point dividing a line segment in a given ratio. Projection ofa vector on a line.

Function :Real valued functions of a real variable, into, onto and one-to-onefunctions, sum, difference, product and quotient of two functions,composite functions, absolute value, polynomial, rational,trigonometric, exponential and logarithmic functions. Even and oddfunctions, inverse of a function, composite function.

Limit, Continuity & Derivability :Limit and continuity of a function, limit and continuity of the sum,difference, product and quotient of two functions, LHospital rule ofevaluation of limits of functions even and odd functions, inverse of afunction, continuity of composite function. intermediate value propertyof continuous functions.

Differentiation :Derivative of a function, derivative of the sum, difference, productand quotient of two functions, chain rule, derivatives of polynomial,rational, trigonometric, inverse trigonometric, exponential andlogarithmic functions. Derivatives of implicit functions, derivatives upto order two.

Tangent & Normal :Geometrical interpretation of the derivative, tangents and normal.

Maxima & Minima :Increasing and decreasing functions, maximum and minimum valuesof a function, rolles theorem and Lagranges Mean value theorem.

Integral calculus :Integration as the inverse process of differentiation, indefinite integralsof standard functions, integration by parts, integration by the methodsof substitution and partial fractions.Definite integrals and their properties, fundamental theorem of integralcalculus. Application of definite integrals to the determination of areasinvolving simple curves.Formation of ordinary differential equations, solution of homogeneousdifferential equations, separation of variables method, linear firstorder differential equations.

Trigonometry :Trigonometric functions, their periodicity and graphs addition andsubtraction formulae, formulae involving multiple and sub-multipleangles, general solution of trigonometric equations.Relations between sides and angles of a triangle, sine rule, cosinerule, half-angle formula and the area of a triangle, inverse trigonometricfunctions (principal value only).

CLASS - XII (PHYSICS)General : Units and dimensions, dimensional analysis; least count,significant figures; Methods of measurement and error analysis forphysical quantities pertaining to the following experiments:Experiments based on using Vernier calipers and screw gauge(micrometer), Determination of g using simple pendulum, Youngsmodulus by Searles method, Specific heat of a liquid using calorimeter,focal length of a concave mirror and a convex lens using u-v method,Speed of sound using resonance column, Verification of Ohms lawusing voltmeter and ammeter, and specific resistance of the materialof a wire using meter bridge and post office box.

Mechanics : Kinematics in one and two dimensions (Cartesian co-ordinates only), Projectile Motion; Uniform Circular Motion; RelativeVelocity.

Newtons laws of motion; Inertial and uniformly accelerated framesof reference; Static and dynamic friction; Kinetic and potential en-ergy; Work and power; Conservation of linear momentum and me-chanical energy.

Systems of particles; Centre of mass and its motion; Impulse; Elasticand inelastic collisions.Law of gravitation; Gravitational potential and field; Acceleration dueto gravity; Motion of planets and satellites in circular orbits; Escapevelocity.

Rigid body, moment of inertia, parallel and perpendicular axestheorems, moment of inertia of uniform bodies with simple geometricalshapes; Angular momentum; Torque; Conservation of angularmomentum; Dynamics of rigid bodies with fixed axis of rotation;Rolling without slipping of rings, cylinders and spheres; Equilibriumof rigid bodies; Collision of point masses with rigid bodies.

Linear and angular simple harmonic motions.

Hookes law, Youngs modulus.

Pressure in a fluid; Pascals law; Buoyancy; Surface energy andsurface tension, capillary rise; Viscosity (Poiseuilles equationexcluded), Stokes law; Terminal velocity, Streamline flow, equationof continuity, Bernoullis theorem and its applications.

Waves : Wave motion (plane waves only), longitudinal and trans-verse waves, superposition of waves; Progressive and stationarywaves; Vibration of strings and air columns;Resonance; Beats;Speed of sound in gases; Doppler effect (in sound).

Thermal physics : Thermal expansion of solids, liquids and gases;Calorimetry, latent heat; Heat conduction in one dimension; Elemen-tary concepts of convection and radiation; Newtons law of cooling;Ideal gas laws; Specific heats (Cv and Cp for monoatomic and di-atomic gases); Isothermal and adiabatic processes, bulk modulus ofgases; Equivalence of heat and work; First law of thermodynamicsand its applications (only for ideal gases); Blackbody radiation:absorptive and emissive powers; Kirchhoffs law; Wiens displace-ment law, Stefans law.

Electricity and magnetism : Coulombs law; Electric field andpotential; Electrical potential energy of a system of point chargesand of electrical dipoles in a uniform electrostatic field; Electric fieldlines; Flux of electric field; Gausss law and its application in simplecases, such as, to find field due to infinitely long straight wire, uni-formly charged infinite plane sheet and uniformly charged thin spheri-cal shell.

Capacitance; Parallel plate capacitor with and without dielectrics;Capacitors in series and parallel; Energy stored in a capacitor.

Electric current; Ohms law; Series and parallel arrangements ofresistances and cells; Kirchhoffs laws and simple applications;Heating effect of current.

BiotSavarts law and Amperes law; Magnetic field near a current-carrying straight wire, along the axis of a circular coil and inside along straight solenoid; Force on a moving charge and on a current-carrying wire in a uniform magnetic field.Magnetic moment of a current loop; Effect of a uniform magnetic fieldon a current loop; Moving coil galvano- meter, voltmeter, ammeterand their conversions.Electromagnetic induction: Faradays law, Lenzs law; Self and mu-tual inductance; RC, LR and LC circuits with d.c. and a.c. sources.

Optics: Rectilinear propagation of light; Reflection and refraction atplane and spherical surfaces; Total internal reflection; Deviation anddispersion of light by a prism; Thin lenses; Combinations of mirrorsand thin lenses; Magnification.

Wave nature of light: Huygens principle, interference limited to Youngsdouble-slit experiment.

Modern physics : Atomic nucleus; Alpha, beta and gammaradiations; Law of radioactive decay; Decay constant; Half-life andmean life; Binding energy and its calculation; Fission and fusionprocesses; Energy calculation in these processes.

Photoelectric effect; Bohrs theory of hydrogen-like atoms; Charac-teristic and continuous X-rays, Moseleys law; de Broglie wave-length of matter waves.

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SAMPLE TEST PAPER -I(For Class-X Appearing / Passed Students)

Course : VIKAAS (JA) & VIPUL (JB)

Correct Wrong Blank


(dsoy ,d fodYi lgh)3 -1 0


(,d ;k ,d ls vf/kd fodYi lgh)4 0 0

25 to 32 Comprehensions (vuqPNsn) 4 0 0

33 to 34Matrix Match Type(eSfVDl lqesy izdkj)

6 [1, 2, 3, 6] 0 0


Part - II(Physics)


PART - I

SECTION - I ([k.M- I)Straight Objective Type (lh/ks oLrqfu"B izdkj )

This section contains 20 questions. Each question has 4 choices (A), (B), (C) and (D) for its answer, out ofwhich ONLY ONE is correct.bl [k.M esa 20 iz'u gSaA izR;sd iz'u ds 4 fodYi (A), (B), (C) rFkk (D) gSa] ftuesa ls flQZ ,d lgh gSA

1. Two concentric circle of radius 3 cm and 4 cm, intersect in3 lseh- ,oa 4 lseh- f=kT;k okys nks ladsUnzh; o`k ijLij izfrPNsn djrs gS&(A) one points (,d fcUnq) (B) two points (nks fcUnqvksa)(C) three points (rhu fcUnqvksa ) (D) None of these (buesa ls dksbZ ugha)

2. A circle is touching the side BC of ABC at 'T' and touching AB and ACproduced at Q and R respectively, then the value of AQ is,d o`k ABC dh Hkqtk BC dks fcUnq T ij rFkk c

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4. ABC is an acute-angled triangle in which ABC = 60. If O be the orthocentre of a triangle ABC, thenOAC + OCA equalsABC ,d U;wu dks.kh; f=kHkqt gS ftlesa ABC = 60A ;fn O, f=kHkqt ABC dk yEcdsU gS] rks OAC + OCAcjkcjgS&(A) 150 (B) 120 (C) 60 (D) 30

5. A man covers 31

of his journey by train at 60 km/hr, next 31

by bus at 30 km/hr and the rest by cycle at 10

km/hr. His average speed during whole journey is

(A) 40 km/hr. (B) 33 31

km/hr.. (C) 20 km/hr. (D) 50 km/hr.

,d O;f viuh ;k=kk dk Fke 31 Hkkx jsyxkM+h }kjk 60 fdeh-@?k.Vk dh pky ls r; djrk gS rFkk vxyk 3

1 Hkkx cl}kjk 30 fdeh-@?k.Vk dh pky ls rFkk 'ks"k Hkkx lkbZfdy }kjk 10 fdeh-@?k.Vk r; djrk gS] rks iwjh ;k=kk ds nkSjku vkSlrpky gS&

(A) 40 fdeh-@?k.Vk (B) 33 31 fdeh-@?k.Vk (C) 20 fdeh-@?k.Vk (D) 50 fdeh-@?k.Vk

6. In a school 437 boys and 342 girls have been divided into classes, so that each class has the same numberof students and no class has boys and girls mixed. What is the least number of classes needed ?,d fo|ky; esa 437 yM+ds rFkk 342 yM+fd;ksa dks d{kkvksa esa bl izdkj ckVk tkrk gSa fd izR;sd d{kk esa fo|kfFkZ;ksa dh la[;kleku gks rFkk fdlh Hkh d{kk esa yM+ds rFkk yM+fd;k nksuksa ugha gksaA de ls de fdruh d{kk gksxh ?(A) 51 (B) 43 (C) 41 (D) 39

7. How many numbers between 200 and 600 are divisible by 4, 5, and 6 ?la[;k 200 rFkk 600 ds chp esa fdrus iw.kkd 4, 5 vkSj 6 ls HkkT; gSa \(A) 6 (B) 7 (C) 8 (D) 9

8. If p = 1, x1 = 1, x2 = 5 then the vertex V is;fn p = 1, x1 = 1, x2 = 5 rks 'kh"kZ V gS &(A) (3, 4) (B) (3, 1) (C) (4, 3) (D) (3, 4)

9. If n (x + z) + ln (x 2y + z) = 2 ln (x z), then :;fn n (x + z) + ln (x 2y + z) = 2 ln (x z), rks &

(A) y =2xzx z (B) y2 = xz (C) 2y = x + z (D) none of these(buesa ls dksbZ ugha)

10. If a selling price of Rs. 24 results in a 20% discount of the list price, the selling price that would result in a30% discount of the list price is;fn 24 :i;s fo; ewY; gksus ij cktkj ewY; ij 20% dh NqV feyrh gS] rc fo; ewY; D;k gksxk tc cktkj ewY; ij30% dh NqV feyrh gS&(A) Rs. 9 : (B) Rs. 27 : (C) Rs. 14 : (D) Rs. 21 :

11. The population of a city increases at the rate of 4% per annum, but there is an additional annual increase of 1%in the population due to the flux of job seekers. The percentage increase of the population after 2 years isfdlh 'kgj dh tula[;k 4% okf"kZd nj ls c

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12. The expression (1 sinx + cosx sinx cosx)(1 + sinx cosx sinx cosx) reduces toO;atd (1 sinx + cosx sinx cosx)(1 + sinx cosx sinx cosx) cjkcj gS&(A) sin2x (B) cos2x (C) sin2x cos2x (D) 1

13. The height of a right circular cylinder is equal to its diameter. If it is melted and recast into a sphere of radiusequal to the radius of the cylinder, find the part of the material that remained unused.,d leo`kh; csyu dh pkbZ blds O;kl ds cjkcj gSA ;fn bls fi?kykdj iqu% blls] csyu dh f=kT;k ds cjkcj f=kT;kdk xksyk cuk;k tk;s tks inkFkZ dk og Hkkx tks xksyk cukus ds ckn cpk jg x;k gS&

(A) 51

(B) 31

(C)41

(D) none of these(buesa ls dksbZ ugha)

14. Two circles with centres A and B intersect at P and Q. Which of the following is false?nks o`k ftuds dsUnz A vkSj B gS] P vkSj Q ij izfrPNsn djrs gSA fuEu esa ls dkSulk xyr gS?(A) AB is the perpendicular bisector of PQ (AB, PQ dk yEclef}Hkktd gS)(B) PQ is the perpendicular bisector of AB (PQ, AB dk yEclef}Hkktd gS)(C) APQ = AQP(D) PBA = QBA

15. If the bigger circle has radius 1 unit, then smaller circle has;fn cMs o`k dh f=kT;k 1 bdkbZ gS] rc NksVs o`k dh f=kT;k gS&

(A) radius (f=kT;k) 12 (B) radius (f=kT;k) 1/2(C) area ({ks=kQy) /4 (D) none of these (buesa ls dksbZ ugha)

16. The value of the expression45tan60cos30sin2

60tan445cos30sin5 222

is

O;atd45tan60cos30sin2


dk eku gS&

(A) 4 (B) 9 (C)1253

(D) 655

17. The value of

n1n

1nn

2222

is

n1n

1nn

2222 dk eku gS&

(A) 32

(B)23

(C) 31

(D) none of these (buesa ls dksbZ ugha)

18. Sum of the series 541

431

+ ........+ 100991 is equal to

Js

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19. A square, whose side is 2m, has its corners cut away so as to form an octagon with all sides equal. Then thelength of each side of the octagon, in metres, is :,d oxZ] ftldh Hkqtk dh yEckbZ 2 ehVj gS] ds dksuksa dks bl izdkj dkVk tkrk gS fd ,d leku yEckbZ dk v"VHkqt curkgSA rks v"VHkqt dh Hkqtk dh yEckbZ gksxh :

(A)12

2 (B) 12

2 (C) 12

2 (D) 12

2

20. A running track is the ring formed by two concentric circles. It is 10 m wide. The circumferences of the twocircles differ by about(nks ladsU o`kksa }kjk ,d nkSM+ dk eSnku rS;kj fd;k x;k ftldh pkSM+kbZ 10 eh0 gS] rks nksuksa o`kksa ds ifjekiksa dk vUrj gksxk&)(A) 10 m (app.) (eh0 (yxHkx)) (B) 30 m (app.) (eh0 (yxHkx))(C) 60 m (app.) (eh0 (yxHkx)) (D) 100 m (app.) (eh0 (yxHkx))

SECTION - II ([k.M- II)Multiple Correct Answer Type (cgqy lgh fodYi izdkj)

This section contains 4 questions. Each question has 4 choices (A), (B), (C) and (D) for its answer, out ofwhich ONE OR MORE is/are correct.bl [k.M esa 4 iz'u gSaA izR;sd iz'u ds mkj ds fy, 4 fodYi (A), (B), (C) rFkk (D) gSa] ftuesa ls ,d ;k ,d lsvf/kd lgh gSA

21. Given that a, b are odd and c, d are even , then(fn;k x;k gS fd a, b fo"ke gS vkSj c, d le gS rks&)(A) a2 b2 + c2 d2 is always divisible by 4 (a2 b2 + c2 d2 lnSo 4 ls foHkkftr gksrk gS )(B) abc + bcd + cda + dab is always divisible by 4 (abc + bcd + cda + dab lnSo 4 ls foHkkftr gksrk gS )(C) a4 + b4 + c3 + d3 + c2b + a2b is always odd (a4 + b4 + c3 + d3 + c2b + a2b lnSo fo"ke gksrk gS )(D) a + 2b + 3c + 4d is odd (a + 2b + 3c + 4d lnSo fo"ke gksrk gS )

22. If A =1x1x

, then (;fn A =1x1x gS] rks)

(A) A A1

=1x

x42 (B) A A

1 =

1xx2

2

2(C) A +

A1

= )1x()1x(4

2

2 (D) A +

A1

= )1x()1x(2

2

2

23. The hypotenuse of a right triangle is 25 cm. If the difference between the lengths of the other two sides of thetriangle is 5 cm, then,d ledks.k f=kHkqt dk d.kZ 25 cm gSA ;fn f=kHkqt dh vU; nks Hkqtkvksa dh yEckbZ;ksa dk vUrj 5 cm gS] rks &(A) Area of triangle is 150 cm2 (f=kHkqt dk {ks=kQy 150 cm2 gSA)(B) Area of triangle is 300 cm2 (f=kHkqt dk {ks=kQy 300 cm2 gSA)(C) Perimeter of triangle is 60 cm (f=kHkqt dk ifjeki 60 cm gSA)(D) Perimeter of triangle is 50 cm (f=kHkqt dk ifjeki 50 cm gSA)

24. The points which trisect the line segment joining the points (0, 0) and (9, 12) arefcUnq tks fcUnq (0, 0) rFkk (9, 12) dks feykus okys js[kk dks lef=kHkkftr djrs gSa] gS&(A) (3, 4) (B) (8, 6) (C) (6, 8) (D) (4, 0)

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SECTION - III ([k.M - III)Comprehension Type (cks/ku dkj)

This section contains 2 paragraphs. Based upon each paragraph, there are 4 questions. Each question has4 choices (A), (B), (C) and (D), out of which ONLY ONE is correct.bl [k.M esa 2 vuqPNsn (paragraphs) gSA R;sd vuqPNsn ij vk/kkfjr 4 'u gSA R;sd 'u ds 4 fodYi(A), (B), (C) rFkk (D) gS , ftuesa ls flQZ ,d lgh gSA

Paragraph for Question Nos. 25 to 28 iz'u 25 ls 28 ds fy, vuqPNsn

Four different integers a, b, c and d form an increasing A.P. One of these numbers is equal to the sumof the squares of the other three numbers. Thenpkj fHkUu fHkUu iw.kkd a, b, c vkSj d o/kZeku lekUrj Js

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30. Length of chord AB isthok AB dh yEckbZ gS&

(A) 52

(B) 54

(C) 52

(D) 58

31. Area of quadrilateral PACB isprqHkqZt PACB dk {ks=kQy gS&(A) 4 (B) 8 (C) 16 (D) 2

32. Radius of circle circumscribing the triangle ABC isf=kHkqt ABC ds ifjxr o`k dh f=kT;k gS&(A) 5 (B) 5 (C) 4 (D) 3

SECTION - IV ([k.M - IV)Matrix - Match Type (eSfVDl& lqesy izdkj)

This section contains 2 questions. Each question contains statementsgiven in two columns which have to be matched. Statements in Column are labelled as A,B,C and D whereas statements in Column are labelledas p,q,r and s. The answers to these questions have to be appropriatelybubbled as illustrated in the following example.If the correct matches are A-p , A-r , B-p , B-s , C-r , C-s and D-q ,

p q r sp q r sp q r sp q r s

ABCD

p q r s

then the correctly bubbled matrix will look like the following :bl [k.M esa 2 iz'u gSaA izR;sd iz'u esa nks dkWye esa oDRO; (statements) fn;s gq, gSaftudk lqesy (match) djuk gSA dkWye (Column-I) esa fn;s x;s oDrO;ksa(A, B, C, D) dks dkWye (Column-II) esa fn;s x;s oDrO;ksa (p, q, r, s) ls lqesy djukgSA bu iz'uksa ds mkj fn;s x;s mnkgj.k ds vuqlkj mfpr cqYyksa dks dkyk djds n'kkZukgSA;fn lgh lqesy A-p, A-r, B-p, B-s, C-r, C-s rFkk D-q gSa] rks lgh fof/k ls dkys fd,

p q r sp q r sp q r sp q r s

ABCD

p q r s

x;s cqYyksa dk 4 x 4 esafVDl (matrix) uhps n'kkZ;k x;k gSA

33. Column-I Column-IILrEHk -I LrEHk-II

(A) The value of sin6 +cos6 + 3 sin2 cos2 is (p) 7sin6 +cos6 + 3 sin2 cos2 dk eku gS&

(B) Minimum value of x2 + 8x + 15, is (q) 1x2 + 8x + 15 dk U;wure eku gS&

(C) If 2x1 + 2x+1 = 320, then x is (r) 1;fn 2x1 + 2x+1 = 320, rks x dk eku gS&

(D) The value of log2 log2 log3 log3 273 is (s) 0log2 log2 log3 log3 273 dk eku gS&

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34. Column-I Column-IILrEHk I LrEHk II(A) The perimeters of two similar triangles ABC and PQR (p) 12

are respectively 36 cm and 24 cm.If PQ = 8 cm, then corresponding side AB =nks le:i f=kHkqtksa ABC rFkk PQR ds ifjeki e'k% 36 cm rFkk 24 cmgSA ;fn PQ = 8 cm gS] rks laxr Hkqtk AB =

(B) If 2x y = 4, y z = 6 and x z = 10, then x y z = (q) 14;fn 2x y = 4, y z = 6 rFkk x z = 10, rc x y z =

(C) If x = 47 , then the value of x2 8x + 10 = (r) 1;fn x = 47 , rks x2 8x + 10 =

(D) The value of 3nn4n

2.22.22

+ 23 is (s) 2n

3n

n4n

2.22.22

+ 23 dk eku gS

PART - II (Hkkx - II)

SECTION - I ([k.M- I)Straight Objective Type (lh/ks oLrqfu"B izdkj)

This section contains 8 multiple choice questions. Each question has choices (A), (B), (C) and (D), out ofwhich ONLY ONE is correct.bl [k.M esa 8 cgq&fodYih iz'u gSA izR;sd iz'u ds 4 fodYi (A), (B), (C) rFkk (D) gSa, ftuesa ls flQZ ,d lgh gSA

35. A particle is moving on the x-axis and its x co-ordinates at different instants are given in the table.,d d.k x-v{k ds vuqfn'k xfr dj jgk gS rFkk fHkUu fHkUu {k.k ij bldk x funsZ'kkad lkj.kh esa fn;k x;k gSA

t = 0 t = 1 t = 2 t = 3 t = 4

x = 2 x = 1 x = 3 x = 2 x = 0Only at one of the above given instants, velocity of the particle is zero then the distance travelled by particlein time t = 0 to t = 4 is :mijks fn;s x;s {k.k ds dsoy fdlh ,d {k.k ij d.k dk osx 'kwU; gS rc t = 0 ls t = 4 lS- le; esa d.k }kjk r; dh xbZnwjh gksxhA(A) 4 m (B) 8 m (C) 7 m (D) 2 m

36. A particle of mass m begins to slide down a fixed smooth sphere from the top as shown. What is itsacceleration when it breaks off the sphere?,d fLFkj fpdus xksys ls m nzO;eku dk ,d d.k 'kh"kZ ls ljduk kjEHk djrk gS tc bl d.k dk xksys ls lEidZ NwVrkgS rks bldk Roj.k D;k gksxk &

(A) 2 g/3 (B) 5 g/3 (C) g (D) g/3

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37. Path of a light ray reflected by two plane mirrors is shown in diagram. Then what is the angle of incidence forthe second mirror if the final ray is perpendicular to initial.nks lrey niZ.kksa }kjk ijkofrZr izdk'k fdj.k dk iFk fp=k esa n'kkZ;k x;k gS rks f}rh; niZ.k ds fy, vkiru dks.k gksxk ;fnvfUre fdj.k] izkjfEHkd fdj.k ds yEcor~ gksA

30

(A) 30 (B) 60 (C) 120 (D) 90

38. When a horse pulls a cart. The cart with horse starts moving because.(A) The pull force of horse on cart is greater than the pull force of cart on horse.(B) The pull force between horse and cart is same in magnitude but as the horse starts first due to delay in

reaction of the cart on horse cart starts moving.(C) Cart is a nonliving body while horse is a living body so cart cannot move by itself and it has to move with

the horse.(D) Net force on the cart is in the direction of motion of the horse.

tc ,d ?kksM+k xkM+h dks [khaprk gS rks ?kksM+s ds lkFk xkM+h xfr djuk izkjEHk djrh gS D;ksafd(A) xkM+h ij ?kksM+s dk [khapko cy] ?kksM+s ij xkM+h ds [khapko cy ls vf/kd gksxkA(B) ?kksM+s rFkk xkM+h ds e/; [khapko cy ifjek.k esa leku gksxk ijUrq izkjEHk esa xkM+h ds ?kksM+s ij izfrf;k esa foyEc ds dkj.k

?kksM+k igys pyuk 'kq: djrk gSA(C) xkM+h fuftZo oLrq gS tcfd ?kksM+k ltho oLrq gSA vr% xkM+h Lo;a ds }kjk xfr ugh dj ldrh rFkk ;g ?kksM+s ds lkFk

xfr djrh gSA(D) xkM+h ij dqy cy] ?kksM+s dh xfr dh fn'kk esa gSA

39. A block of mass 'M' at rest is raised and is kept at height 'h' from the initial level. The work done by all forcesacting on the block will be(A) +ve (B) ve (C) zero (D) cannot be decided.'M' nzO;eku dk ,d CykWd A fojke voLFkk ls ij mBk;k tkrk gS rFkk izkjfEHkd Lrj ls 'h' pkbZ ij j[kk tkrk gSA CykWdij dk;Zjr lHkh cyksa }kjk fd;k x;k dk;Z gksxkA(A) +ve (B) ve (C) 'kwU; (D) fu.kZ; ugh ys ldrs

40. Following are some statements about buoyant force: (Liquid is of uniform density)(i) Buoyant force depends upon orientation of the concerned body inside the liquid.(ii) Buoyant force depends upon the density of the body immersed.(iii) Buoyant force depends on the fact whether the system is on moon or on the earth.(iv) Buoyant force depends upon the depth at which the body (fully immersed in the liquid) is placed inside

the liquid.Of these statements :(A) Only (i), (ii) and (iv) are correct. (B) Only (ii) is correct.(C) Only (iii) and (iv) are correct. (D) (i), (ii) and (iv) are incorrect.mRIykou cy ds lUnHkZ esa fuEu dFku fn;s x;s gS: (nzo] ,d leku ?kuRo dk gS)(i) mRIykou cy lEcfU/kr oLrq ds nzo ds vUnj foU;kl ij fuHkZj djrk gSA(ii) mRIykou cy Mwch gqbZ oLrq ds ?kuRo ij fuHkZj djrk gSA(iii) mRIykou cy bl rF; ij fuHkZj djrk gS fd fudk; i`Foh ij gS fd pUnzek ijA(iv) mRIykou cy oLrq iwjh rjg ls nzo esa Mwch gqbZ dh nzo ds vUnj xgjkbZ ij fuHkZj djrk gSAbu dFkuksa esa :(A) dsoy (i), (ii) rFkk (iv) lR; gSA (B) dsoy (ii) lR; gSA(C) dsoy (iii) rFkk (iv) lR; gSA (D) (i), (ii) rFkk (iv) vlR; gSA

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41. Kilowatt-hour is a unit of(A) Power (B) Energy/time(C) work (D) Power/ timefdyksokWV&?k.Vk fdldh bdkbZ gSA(A) 'kf (B) tkZ@le;(C) dk;Z (D) 'kf@le;

42. If you want to see your full image then the minimum height of the plane mirror(A) Should be of your height(B) Should be half of your height(C) Should be twice of your height.(D) Depends upon your distance from the mirror.vxj vki Loa; dk lEiw.kZ frfcEc ns[kuk pkgrs gS rks lery niZ.k dh U;wure pkbZ(A) vkidh pkbZ ds cjkcj gksuh pkfg;sA(B) vkidh PkkbZ ls vk/kh gksuh pkfg;sA(C) vkidh PkkbZ ls nqxquh gksuh pkfg;sA(D) vkidh niZ.k ls nwjh ij fuHkZj gksuh pkfg;s

SECTION - II ([k.M - II)Multiple Correct Answers Type (cgqy lgh mkj izdkj)

This section contains 4 multiple correct answer(s) type questions. Each question has 4 choices (A), (B), (C)and (D), out of which ONE OR MORE THAN ONE is/are correct.bl [k.M esa 4 cgq lgh mkj izdkj ds iz'u gSaA izR;sd iz'u ds 4 fodYi (A), (B), (C) rFkk (D) gSa, ftuesa ls ,d ;k ,dls vf/kd fodYi lgh gS gSaA

43. A tunnel is made across the earth passing through its centre. A particle is released from the one end of thetunnel when the particle is at the centre of the earth then which of the following is non zero.(A) mass (B) weight (C) acceleration (D) velocity

,d lqajx i`Foh ds dsUnz ls xqtjrh gSA ,d d.k] lqjax ds ,d fljs ls NksM+k tkrk gS tcfd d.k i`Foh ds dsUnz ij gS rksfuEu esa ls dkSu ls v'kwU; gSA(A) nzO;eku (B) Hkkj (C) Roj.k (D) osx

44. In the figure shown:

(A) current will flow from A to B (B) current may flow from B to A

(C) current may flow from A to B (D) the direction of current will depend on r

n'kkZ;s x;s fp=k esa

(A) /kkjk Als B dh vksj izokfgr gksxhA (B) /kkjk B ls Adh vksj izokfgr gks ldrh gSA

(C) /kkjk Als B dh vksj izokfgr gks ldrh gSA (D) /kkjk izokg dh fn'kk r ij fuHkZj djsxhA

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45. A painter is applying force by himself to raise him and the box with an acceleration of 5 m/s2 by amassless rope and pulley arrangement as shown in figure. Mass of painter is 100 kg and that of box is50 kg. If g = 10 m/s2, then:

(A) tension in the rope is 1125 N(B) tension in the rope is 2250 N(C) force of contact between the painter and the floor is 375 N(D) none of thesefp=kkuqlkj ,d isUVj Lo;a cy yxkdj vius vki dks rFkk ckDl dks 5 m/s2 ds Roj.k ls ,d nzO;ekughu jLlh o iqyh O;oLFkk}kjk fp=kkuqlkj ij mBkrk gSA ;fn isUVj dk nzO;eku 100 kg rFkk ckDl dk 50 kg gS rFkk jLlh dk nzO;eku ux.;gS (;fn g = 10 m/s2 ) rks(A) jLlh esa ruko 1125 N(B) jLlh esa ruko 2250 N(C) isUVj rFkk Q'kZ ds chp lEidZ cy 375 N gS(D) buesa ls dksbZ ugha

46. Mark the correct statements for a particle going on a straight line:(A) If the velocity and acceleration have opposite sign, the object is slowing down.(B) If the position and velocity have opposite sign, the particle is moving towards the origin.(C) If the velocity is zero at an instant, the acceleration should also be zero at that instant.(D) If the velocity is zero for a time interval, the acceleration is zero at any instant within the time interval.ljy js[kk ds vuqfn'k xfreku d.k ds fy, lgh oDrO;ksa ij fopkj vafdr djsa(A) ;fn osx rFkk Roj.k] foijhr fn'kk esa gS rks oLrq /kheh gks tkrh gSA(B) ;fn fLFkfr rFkk osx foijhr fn'kk esa gS rks d.k ewy fcUnq dh vksj xfr dj jgk gSA(C) ;fn fdlh {k.k osx 'kwU; gS] rks ml {k.k Roj.k Hkh 'kwU; gksuk pkfg;sA(D) ;fn fdlh le; vUrjky ds fy, osx 'kwU; gS rks ml le; vUrjky esa Roj.k fdlh Hkh {k.k 'kwU; gksxkA

PART - III (Hkkx - III)

SECTION - I ([k.M- I)Straight Objective Type (lh/ks oLrqfu"B izdkj)

This section contains 8 multiple choice questions. Each question has choices (A), (B), (C) and (D), outof which ONLY ONE is correct.bl [k.M esa 8 cgq&fodYih iz'u gSA izR;sd iz'u ds 4 fodYi (A), (B), (C) rFkk (D) gSa, ftuesa ls flQZ ,d lgh gSA

47. Which of the following contain maximum number of C atoms ?(A) 60 g of CO(NH2)2 (B) 22.4 L of at STP(C) 3 1023 molecules of pentane (D) 36 g of graphite

fuEu esa ls C ijek.kqvksa dh vf/kdre la[;k dkSu j[krk gS \(A) 60 g CO(NH2)2 (B) STPij 22.4 L(C) isUVsu ds 3 1023 v.kq (D) 36 g xzsQkbV

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48. Find the molarity of chloride ion when 100 mL of 2M solution of HCl is mixed with 200 ml of 1M NaCl solutionand 700 ml of water.

tc 2M HCl ds 100 mL dks 1M NaCl ds 200 ml foy;u rFkk ty ds 700 ml ds lkFk fefJr fd;k tkrk gS] rks DyksjkbMvk;u dh eksyjrk Kkr dhft,A(A) 3M (B) 4M (C) 0.3M (D) 0.4M

49. The energy of a photon of wavelength is given by the formula = hc

. (hc = 12400 eV , When is in ). Find

energy of 2 photons of = 620 nm(A) 2eV (B) 3eV (C) 4eV (D) cant be predicted

lw=k = hc }kjk rjaxnS/;Z ds ,d QksVksu dh tkZ nh tkrh gSA (hc = 12400 eV , tc esa gSA) = 620 nm ds fy,

2 QksVksu dh tkZ Kkr dhft,A(A) 2eV (B) 3eV (C) 4eV (D) dqN ugha dgk tk ldrkA

50. Which of the following statements are correct ?(I) In the long form of periodic table, the number of period indicates the value of principal quantum number.(II) There are four d-block series comprising of total 40 elements in the long form of periodic table.(III) s-block, d-block and f-block elements are metals.(A) (I) and (II) only (B) (I) only (C) (II) and (III) only (D) (I), (II) and (III)

fuEu esa ls dkSuls dFku lgh gS %(I) vkorZ lkfj.kh ds nh?kZ :i esa] vkorZ dh la[;k eq[; DokaVe la[;k ds eku dks iznf'kZr djrh gSA(II) vkorZ lkfj.kh ds nh?kZ :i esa] dqy 40 rRoksa ds lkFk] pkj d - CykWd Jsf.k;k gSA(III) s-CykWd, d-CykWd rFkk f-CykWd rRo lHkh kkrq;sa gSaA(A) dsoy (I) rFkk (II) (B) dsoy (I) (C) dsoy (II) rFkk (III) (D) (I), (II) rFkk (III)

51. Which of the following is a planar molecule :fuEu esa ls dkSulk ,d leryh; v.kq gS %(A) XeF4 (B) 3HN (C) CH3 (D) CF3

52. Which of the following acid has highest pH.

fuEufyf[kr esa ls dkSu mPpre pH j[krk gSA(A) 104 MCH3COOH (B) 104M HCl (C) 104 MH2SO4 (D) 104 M HNO3

53. Given that 1 mol of an alkene on complete combustion gives 88 g of CO2 and 36 g of H2O. The correctmolecular formula of the alkene is :

fn;k x;k gS fd ,d ,Ydhu dk 1 eksy iw.kZ ngu ij CO2 ds 88 g rFkk H2O ds 36 g nsrk gSA ,Ydhu dk lgh v.kqlw=kgS \(A) C2H6 (B) C2H4 (C) C2H2 (D) C3H6

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54. Which of the following is incorrectly matched ? (fuEu esa ls dkSulk xyr lqesfyr gS \)(A) Slaked lime Ca(OH)2 (cq>k gqvk pwuk Ca(OH)2 )(B) Baking soda Na2SO4.10H2O ([kkus dk lksMk Na2SO4.10H2O)(C) Blue vitriol CuSO4.5H2O (uhyk FkksFkk CuSO4.5H2O)(D) Benzene C6H6 (csaUthu C6H6 )

SECTION - II ([k.M - II)

Multiple Correct Answers Type (cgqy lgh mkj izdkj)This section contains 4 multiple correct answer(s) type questions. Each question has 4 choices(A), (B), (C) and (D), out of which ONE OR MORE THAN ONE is/are correct.bl [k.M esa 4 cgq lgh mkj izdkj ds iz'u gSaA izR;sd iz'u ds 4 fodYi (A), (B), (C) rFkk (D) gSa, ftuesa ls ,d ;k ,dls vf/kd fodYi lgh gS gSaA

55. In which of the following cases, equilibrium shifts in forward direction on decreasing the volume of container?fuEu esa ls fdl ifjfLFkfr esa] ik=k ds vk;ru esa deh gksus ij lkE; vxz fn'kk dh vksj vxzflr gksxk \(A) PCl5(g) PCl3(g) + Cl2(g) (B) CaO(s) + CO2(g) CaCO3(s)

(C) NH4HS(s) NH2(g) + H2S(g) (D) H2O(g) H2O( )

56. Hydrogen bonding is present in which of the following species ?fuEu esa ls dkSulh Lih'kht esa gkbMkstu cU/k mifLFkr gSa \(A) CH3NH2 (B) CH3 (C) CH3COOH (D) CCl3CH(OH)2

57. Which compound is/are the isomer of 3-Ethyl-2-methylpentane ?buesa ls dkSu@dkSuls 3- ,fFky-3- esfFkyisUVsu ds leko;oh gSa \

(A) (B)

(C) (D)

58. Given below are the four statements about the hydrocarbons. Choose the correct statements.gkbMksdkcZu ds lanHkZ esa uhps pkj dFku fn;s x;s gSa] lgh dFku dk pquko dhft;sA(A) Hydrocarbons are compounds that are made up of carbon and hydrogen only.

(gkbMksdkcZu og ;kSfxd gS tks dsoy dkcZu rFkk gkbMkstu ls feydj cus gksrs gSa)(B) Paraffins are saturated hydrocarbons with the general formula CnH2n+2 (isjkQhu] lkekU; lw=k CnH2n+2 j[kus okys lar`Ir gkbMksdkcZu gSa)(C) Olefins are saturated hydrocarbon with the general formula CnH2n.

(vkWyhfQu] lkekU; lw=k CnH2nj[kus okys lar`Ir gkbMksdkcZu gSa)(D) Aliphatic compounds consist of cyclic or closed chain compounds.

(,fyQsfVd ;kSfxd] pf; vFkok can J`[kyk ;kSfxdksa ds cus gksrs gSa)

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ANSWER KEY TO SAMPLE TEST PAPER-I

1. (D) 2. (B) 3. (B) 4. (C) 5. (C) 6. (C) 7. (A)

8. (D) 9. (A) 10. (D) 11. (B) 12. (C) 13. (B) 14. (B)

15. (A) 16. (D) 17. (B) 18. (D) 19. (B) 20. (C) 21. (ACD)

22. (AD) 23. (AC) 24. (AC) 25. (C) 26. (B) 27. (B) 28. (A)

29. (A) 30. (D) 31. (B) 32. (B) 33. (A) (q) (B) (r) (C) (p) (D) (s)

34. (A) p, (B) q , (C) r, (D) r

35. (B) 36. (C) 37. (B) 38. (D) 39. (C) 40. (D) 41. (C)

42. (B) 43. (AD) 44. (BC) 45. (AC) 46. (ABD)

47. (D) 48. (D) 49. (C) 50. (D) 51. (A) 52. (A) 53. (B)

54. (B) 55. (BD) 56. (ACD) 57. (ACD) 58. (AB)

HINTS & SOLUTION TO SAMPLE TEST PAPER-I

1. (D)Two concentric circle of radius 3 cm and 4 cm does not intersect at any points.

2. (B)By the diagram given in equation,we know AQ = AR,BT = BQ, CT = CR (Tangents on a circle same point)AQ + AR = (AB + BQ) + (AC + CR) AQ + AQ = (AB + BT) + (AC + CT) 2AQ = AB + (BT + CT) + AC 2AQ = AB + BC + CA ( BT + CT = BC) AQ =

2CABCAB

3. (B)Since ABCD is a cyclic quadrilateralADC + ABC = 180 ....(i)and AB is the diameter of the circle ACB = 90and BAC = 35 (given)in triangle ABCABC = 180 (BAC + ACB) = 55 ....(ii)from equation (i) and (ii)ADC = 125

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4. (C)

OAC + OCA = ABC = 60

5. (C)Let total length ekuk dqy nwjh = x

For first 31

distance izFke 31 Hkkx nwjh ds fy,

T1 = 603/x

= 180x

For second 31

distance nwljs 31 Hkkx nwjh ds fy,

T2 = 303/x

= 90x

For last 31

distance vafre 31 Hkkx nwjh ds fy,

T3 = 103/x

= 30x

Average speed vkSlr pky =30x

90x

180x

x

= 20 km/h

6. (C)We should have the maximum number of students in a class. So we have to find HCF (437, 342) = 19.HCF is also the factor of difference of the number.

Number of classes = 19437

+ 19342

= 23 + 18 = 41 classes.

7. (A)Every such number must be divisible by L.C.M. of 4, 5, 6 i.e.60.Such numbers are 240, 300, 360, 420, 480, 540Clearly, there are 6 such numbers.

8. (D)f(1) = 0 1 + q r = 0f(5) = 0 25 + 5q r = 0q = 6 r = 5f(x) = x2 6x 5vertex is (3, 4) ('kh"kZ (3, 4) gSA)

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9. (A)n (x + z) + n (x 2y + z) = n (x z)2 (x + z) (x + z 2y) = (x z)2 x2 + z2 + 2xz 2y (x + z) = x2 + z2 2xz

y =zx

xz2 or (;k) xy xz = xz yz

zx

=zyyx

10. (D)Selling price = Rs. 24 = 80% of marked price.Marked price = 30

Now selling price = 70% of marked price = 10070

30 = 21

11. (B)100 105 110.25,So, increase in population = 10.25%.

12. (C)(1 sinx + cosx sinx cosx)(1 + sinx cosx sinx cosx)

= [ (1 + cosx)(1 sinx)][(1 + sinx)(1 cosx)]= (1 sin2x)(1 cos2x)= sin2x cos2x

13. (B)

Let h be the height of the cylinder. Then, its diameter is h and so its radius is2h

. Hence, its volume is

V1 = 2

2h

. h =

4h3 .

Again, the radius of the sphere =2h

Hence, the volume of the sphere is

V2 = 34

3

2h

=

6h3

The volume of the unused material= V1 V2 = 4

h3

6h3

=12

)23(h3

=12h3

=4h

31 3 = 3

1 V1

Hence, the required volume of the unused material is equal to 31

rd of the volume of the cylinder..

14. (B)Sol. AB is perp. bisector of PQ

APQ = AQPand PBA = QBABut PQ is perpendicular bisector of AB is not always true(It is true only when the circles are of equal radius)

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15. (A)

1212

112

)223(A 2

16. (D)

Sol.45tan60cos30sin2


=1

21

212

)3(421

215 2

22

=1

21

1221

45

= 655

17. (B)

n1n

1nn

2222

= 122

212n

1n

= 1+21

=23

.

18. (D)

51

41

41

31 + - - - - - + 99

1 100

1 = 3

1 100

1 = 300

97

19. (B)Let ABCD is a squaresince all sides of octagen are equal

therefore 2 x = 2 2x

x = 222

x =12

2

20. (C)Sol. Difference of circumference ifjekiksa dk vUrj = 2r2 2r1

= 2(r2 r1) = 2(10)m= 20 m= 60 m approx. 60 eh0 (yxHkx)

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21. (A,C,D)

22. (A,D)

A A1

=1x1x

1x1x

= 1x)1x()1x(

2

22

=1x

x42

A +A1

=1x1x

+1x1x

= )1x()1x()1x(

2

22

= 1xx21xx21x

2

22

A +A1

= 1x)1x(2

2

2

23. (A,C)a b = 5 a = 5 + b a2 + b2 = 625

(5 + b)2 + b2 = 625b2 + 5b 300 = 0(b + 20) (b 15) = 0b = 15a = 20

Area of triangle =21

20 15 = 150 cm2

Perimeter of triangle = a + b + c = 60 cm

24. (A,C)(0, 0) (9, 12)

A C D BC divides AB in the ratio 1 : 2.

Co-ordinates of C

12012,

2109

= C (3, 4)

D divides AB in the ratio of 2 : 1.

Co-ordinates of D

12024,

12018

= D (6, 8)

Trisection points are (3, 4) and (6, 8).

25. (C)

26. (B)

27. (B)

28. (A)Let four integers be ad, a , a + d and a + 2dwhere a and d are integers and d > 0. a + 2d = (a d)2 + a2 + (a + d)2 2d2 2d + 3a2 a = 0 ...............(i)

d =21

2a6a211 ...............(ii)Since d is positive integer

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1 + 2a 6a2 > 06a2 2a 1 < 0

6

71 < a 0 d = 1 The four numbers are : 1, 0, 1, 2

296. c, d, d2 1, 2, 4 they are in G.P.297. ( 1 + 1)2 + (2 2)2 = 0

29. (A)

sin = PCAC

= 204

30. (D)

AM = AP sin =522

AB = 58

31. (B)PACB = 2(PAC)

= 2

L.R.21

= RL = 4 2 = 8

32. (B)

Radius =2

PC = 5

33. (A) (q) (B) (r) (C) (p) (D) (s)(A) sin6 +cos6 + 3 sin2 cos2

= (sin2 + cos2)3 = 1(B) x2 + 8x + 15 = x2 + 8x + 16 1

= (x + 4)2 1Minimum value U;wure eku = 1

(C) 2x 1 + 2x + 1 = 320 2T

+ 2T = 320

Let ekuk 2x = T5T = 640 T = 128= 2x = 128 = 27 x = 7

(D) log2 log2 log3 log3 273 = log2 log2 log3 (9log3 3)= log2 log2 log3 32 = log2 log2 2 = log2 1 = 0

34. (A) - p, (B)- q , (C)- r, (D) - r(A) Since the ratio of the corresponding sides of similar triangles is same as the ratio of their perimeterspwafd le:i f=kHkqtksa dh laxr Hkqtkvksa dk vuqikr f=kHkqtksa ds ifjeki ds vuqikr esa gh gksrk gSAABC ~ PQR

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PQAB

= QRBC

=PRAC

=2436

PQAB

=2436

8AB

=2436

AB = 12 cm(B) y z = 6 (2x 4) (x 10) = 6 x = 0, y = 4 and z = 10 x y z = 14

(C) x 4 = 7 x2 8x + 16 = 7 x2 8x + 9 = 0 x2 8x + 10 = 1

(D) 3nn4n

2.22.22

+ 23 = 4n1n

272

+ 81

= 81

87 = 1

35. (B)

From above figure total distance travelled is 5 + 3 = 8m.

36. (C)As the particle of mass m looses contact with the sphere, no normal reaction is exerted by sphere on theparticle. The only force acting on the particle is its weight. Hence its acceleration is g( acceleration due togravity)

37. (B)

120 = i + r 120 = 2i 60 = i.38. (D)

By Newton's third law equal and opposite force acts simultaneously on each body. Initially cart is at rest.When cart starts moving, then at that moment change in velocity vector is in forward direction i.e. accelerationis in forward direction. So, net force on the cart is in the direction of motion of horse.

39. (C)As the initial and final kinetic energy of block is zero, by work energy theoremWork done by all forces = change in kinetic energy = 0.

40. (D)F b = vligg'g' is different on moon and on the earth.Hence only (iii) is a correct statement. Hence (D).

STP1516




41. (C)Kilowatthour Power time

timework

time = work.

42. (B)

Sol.

HE = HP + PE = 2PE = 2ACand EF = EQ + QF = 2EQ = 2BC HE + EF = 2(AC + BC) Height of person = 2(height of mirror)i.e. required height of mirror is independent of distance between mirror and person.

43. (A,D)At the centre of the earth gravitational field is zero.So, at centre of gravitational force (i.e. weight) of particle and acceleration of particle is zero, whereas itsspeed is maximum.

44. (B,C)Direction of current will depend on the value of emf of cell.

For = 5 volt (let), direction of current is shown in figure(a)For = 40 volt (let), current flows from B to A as shown in figure(b).

45. (A,C)For painter ;

R + T mg = maR + T = m(g + a) ............(1)

For the system ;2T (m + M)g = (m + M)a2T = (m + M) (g + a) ..............(2)

where ; m = 100 kgM = 50 kga = 5 m/sec2

T =2

15150 = 1125 N

and ; R = 375 N

46. (A,B,D)Net force on object will be in direction of acceleration of the particle. If the velocity and acceleration haveopposite sign i.e. force will act on the particle against the direction of motion of particle, so particle will slowdown.If the position and velocity have opposite sign, then the particle is moving towards the origin. It will be clearfrom following diagrams.

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For vertical upward motion of a particle under gravity, at highest point velocity of particle is zero but accelerationis nonzero.If the velocity is zero for a time interval, then change in velocity is also zero for that given time interval, so theacceleration is zero at any instant within the time interval.

47. (D)

48. (D)

49. (C)

50. (D)All statements are correct. (lHkh dFku lgh gSA)

51. (A,D)

52. (A)

53. (B)

54. (B)

55. (B,D)

56. (A,C,D)Hydrogen bonding is possible in CH3NH2, CH3COOH, CCl3 CH(OH)2. (CH3NH2, CH3COOH, CCl3 CH(OH)2esagkbMkstu ca/ku laHko gSA )

CH N H3

H

N CH3

H

H

; CH C3O H O

O H OC CH3 ; C

Cl

Cl H

O

C

H

Cl OH

57. (A,C,D)

ACD are 8 carbon alkanes but B has only 6 carbons atoms.

vU; lHkh esa 8 dkcZu gSa] tcfd B esa dsoy 6 dkcZu gSaA

58. (A,B)

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SAMPLE TEST PAPER-II(For Class-XI Appearing / Passed Students)

Course : VISHWAAS (JF)

Correct Wrong Blank


(dsoy ,d fodYi lgh)3 -1 0


(,d ;k ,d ls vf/kd fodYi lgh)4 0 0

22 to 30 48 to 53 68 to 70 Comprehensions (vuqPNsn) 4 0 0

31Matrix Match Type(eSfVDl lqesy izdkj)

6 [1, 2, 3, 6] 0 0


Part - II(Physics)


PART - I (Hkkx - I)

SECTION - I ([k.M- I)Straight Objective Type (lh/ks oLrqfu"B izdkj )

This section contains 15 questions. Ea

jee adv sample testpaper resonet-2015

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