Resofast 2016 Stp Jee Main (1)

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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's ResoFAST conducted by Resonance for its various courses.

Note : Resonance reserves the right to change the pattern of selection test (ResoFAST). Pervious year papers do not guarantee that the

papers for 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.

Copyright reserved 2016-17.

All rights reserved. Any photocopying, publishing or reproduction of full or any part of this material is strictly prohibited. This material belongs to only the applicants

of RESONANCE for its various Selection Tests (ResoFAST) to be conducted for admission in Academic Session 2016-17. Any sale/resale of this material is

punishable under law. Subject to Kota Jurisdiction only.

Sample Test Paper (STP) For ResoFAST-2016

S.No. Contents TargetPage

No.

1 How to Prepare for the Resonance's Forward Admission & Scholarship Tes t (ResoFAST) - 2016 ResoFAST 2016 2

2 General Instructions for the Examination Hall ResoFAST 2016 3

3 Syllabus for ResoFAST-2016 ResoFAST 2016 4

4Sample Test Paper- I : For Class-X Appearing students (Moving from Class-X to

Class-XI ) For the students applying for ABHINAV (EA*) CoursesJEE(Main) 2018 9

5Sample Test Paper-I Answer key & Hints & Solution : For Class-X Appearing students (Moving from

Class-X to Class-XI ) For the students applying for ABHINAV (EA*) CoursesJEE(Main) 2018 24

6Sample Test Paper-II : For Class-XI Appearing students (Moving from Class-XI to Class-XII).For the

students applying for AKHIL (EF) CourseJEE(Main) 2017 31

7Sample Test Paper-II Answer key & Hints & Solution : For Class-XI Appearing students (Moving from

Class-XI to Class-XII).For the students applying for AKHIL (EF) CourseJEE(Main) 2017 46

8Sample Test Paper-III : For Class-XII Appearing students (Moving from Class-XII to Class-XIII) For the

students applying for ABHYAAS (ED*) CoursesJEE(Main) 2017 59

9Sample Test Paper-III Answer key & Hints & Solution : For Class-XII Appearing students (Moving

from Class-XII to Class-XIII) For the students applying for ABHYAAS (ED*) CoursesJEE(Main) 2017 74

10 Sample ORS Answer Sheet for Resonance's Forward Admission & Scholarship Test (ResoFAST) - 2016 ResoFAST 2016 90


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

Study thoroughly the books of Science (Physics & Chemistry) and Maths of Classes

IX & X. (NCERT & Respective Board)

For Class-XI appearing 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, NCERT Books

For Chemistry :NCERT Books(XI & XII),A text book of Physical Chemistry

(8thEdition), Shishir Mittal, Disha Publications, Concise Inorganic

Chemistry, J.D. Lee, Wiley-India Edition, Vogels Qualitative Analysis for

the JEE (7thEdition), G. Svehla & Shishir Mittal, Pearson Education,Organic

Chemistry : Clayden, Greeves, Warren and Wothers, Oxford University,

A guide book to Mechanism In Organic Chemistry (6thEdition), Peter Sykes,

Pearson Education

For Maths : Higher Algebra By Hall & Knight; Co-ordinate Geometry By

S.L. Loney ; Plane Trigonometry By S.L. Loney, Problem book in high school

by A.I.Prilepko

For Class-XII appearing 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 of

competence :

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

For Chemistry :Physical Chemistry By R.K. Gupta, Organic Chemistry By

Morrison & 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

How to Prepare for the Resonances Forward Admission & Scholarship Test (ResoFAST) - 2016


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GENERAL INSTRUCTIONS IN THE EXAMINATION HALL

(ijh{kk Hkou ds fy, lkekU; fun s Z k)

1. This booklet is your Question Paper. ;g iqfLrdk vkidk iz'u&i=k gS

2. The Question Paper Codeis printed on the top right corner of this sheet. iz'u&i=k dksM bl i`"B

ds ij nk; sa dk sus esa Nik gqvk gS

3. 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] dSYd qysVj] eksckby ;k vU; fdlh bySDVW kfud midj.k ds fdlh Hkh :i esa mi;ksx dh vkKk ugh a gS

4. Write your Name& Application Form Number in the space provided in the bottom of this

booklet. (bl i`"B ds uhps fn;s x;s fjDr LFkku esa viuk uke o vko snu Q k We Z l a[; kvo'; Hkjs a

5. Before answering the paper, fill up the required details in the blank space provided in the Objective

Response Sheet (ORS). (iz'u&i=k gy djus ls igys] ORS&'khV esa fn;s x;s fjDr LFkkuksa esa iwNs x;s

fooj.kksa dks Hkjsa

6. Do not forget to mention your paper code and Application Form Numberneatly and clearly in

the blank space provided in the Objective Response Sheet (ORS) / Answer Sheet. mkj&iqfLrdk

esa fn;s x;s fjDr LFkku esa vius iz'u&i=k dk dksM o viuk vko snu Q k We Z l a[; kLi"V :i ls Hkjuk uk Hkwysa7. No rough sheets will be provided by the inv igilators. All the rough work is to be done in the blank

space provided in the question paper. fujh{kd ds }kjk dksbZ jQ 'khV ugha nh tk;sxhA jQ dk;Z iz'u&i=k

esa 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 30 31 to 60 61 to 90Only one correct

(dsoy ,d fodYi lgh)4 -1 0

Marks to be aw ardedPart - A

(Chemistry)

Part - B

(Physics)

Part - C

(Mathematics)Type

Name : _________________________________ Application Form Number : _______________


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CLASS - X (CHEMISTRY)Basic : Cooling by evaporation. Absorption of heat. All things accupy

space, possess mass. Definition of matter ; Elementary idea about

bonding.

Solid, liquid and gas :characteristics-shape, volume, density; change

of state - melting, freezing, evaporation, condensation, sublimation.

Elements, compounds and mixtures :Heterogeneous and

homogeneous mixtures; Colloids and suspension.

Mole concept :Equivalence - that x grams of A is chemically not equal

to x grams of B ; Partical nature, basic units : atoms and molecules ;

Law of constant proportions ; Atomic and molecular

masses;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 present in 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 and

hydrogen.

Extractive metallurgy : Properties of common metals ; Brief discussion

of basic metallurgical processes.

Compounds of Carbon :Carbon compounds ; Elementary idea about

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, on

the number line through successive magnification. Rational numbers

as recurring/terminating decimals. Ratio and proportions.

Polynomials :

Polynomial in one variable and its Degree. Constant, Linear, quadratic,

cubic polynomials; monomials, binomials, trinomials, Factors and

multiplex. Zeros/roots of a polynomial/equation.

Remainder theorem, Factor Theorem. Factorisation of quadratic and

cubic polynomials

Standard form of a quadratic equation ax2+ bx + c = 0, (a 0). Relation

between roots and coefficient of quadratic and relation betweendiscriminant 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 and

inconsistency

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 trigonometric

identities. Problems based on heights and distances.

Coordinate Geometry :The cartesian plane, coordinates of a point, plotting points in the plane,

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 congruency of

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 finding the

area of a quadrilateral.

Area of circle ; Surface areas and volumes of cubes, cuboids,

spheres (including hemispheres) and right circular cylinders/cones

and 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, Logical reasoning.

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 and velcocity - time

graphs.

Newtons Law of motion ; Relationship between mass, momentum,

force and accelaration ; work done by a force ; Law of conservation

of energy.

Law of gravitation ; acceleration due to gravity.

Electricity and magnetism : Ohms law ; Series and parallel

combination of resistances ; Heating effect of current.

Magnetic field near a current carrying straight wire, along the axis of

a circular coil and inside a solenoid ; Force on current carrying conductor

; 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 concave mirror

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 of

elements, atoms and molecules.

Atomic and molecular masses . Mole concept and molar mass ;

percentage composition and empirical and molecular formula ; chemical

reactions, stoichiometry and calculations based on stoichiometry.

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 matter andlight, de Broglies relationship, Heisenberg uncertainty principle, conceptof orbitals, quantum numbers, shapes of s, p, and d orbitals, rules for

Syl labus of ResoFAST 2016


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filling electrons in orbitals - Aufbau principle, Pauli exclusion principleand Hunds rule, electronic configuration of atoms, stability of half filledand completely filleld orbitals.

Classification of Elements and Periodicity in Properties :Significance of classification, brief history of the development of periodictable, trends in properties of elements - atomic radii, ionic radii, inertgas 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 and dorbitals 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 concept ofthe molecule, Boyles law, Charles law, Gay Lussacs law, Avogadroslaw, ideal behavior, empirical derivation of gas equation, Avogadrosnumber ideal gas equation, deviation from ideal behaviour, Liquefactionof 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 law ofconstant heat summation, enthalpy of bond dissociation,combustion, formation, atomization sublimation, phase transition,ionization, 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 ; ionicequilibrium - ionization of acids and bases, strong and weak electrolytes,degree of ionization concept of pH. Hydrolysis of Salts (elementaryidea), buffer solutions, solubility product, common ion effect (withillustrative examples).

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

Hydrogen : Position of hydrogen in periodic table, occurrence, isotopes,preparation, properties and uses of hydrogen ; hydrides - ionic, covalentand inters titial ; physical and chemical properties of water, heavywater ; hydrogen peroxide - preparation, reactions and 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, atomicand 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, CaCO

3, 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 chemicalreactivity, anomalous properties of first element of the group ;Boron - physical and chemical properties, some important compounds

; borax, boric acids, boron hydrides. Aluminium : uses, reactions withacids and alkalies.Group 14 elements ; General introduction, electronic configuration,occurrence, variation of properties, oxidation states, trends in chemicalreactivity, anomalous behaviour of first element. Carbon - catenation,

allotropic forms, physical and chemical propeties ; uses of someimportant compounds : oxides.Important compounds of silicon and a few uses : silicon tetrachloride,silicones, silicates and zeolites.

Principles of qualitative analysis : Determinantion of one anion andone 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

2

2

4

2

3

22

3

3

242

34

3

3 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 of organic reactions

Classification of Hydrocarbons : Al kanes : Nomenc lature,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, hydrogenhalides (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, FriedelCrafts alkylation and acylation ; directive influence of functional groupin mono-substituted benzene ; carcinogenicity and toxicity.

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 range ofa function domain and range of constant, identity, polynomial, rational,modulus, signum and greatest integer functions with their graphs.Sum, difference, product and quotients of functions.Trigonometric Functions :Measuring angles in radians and in degrees and conversion from onemeasure to another. Signs of trigonometric functions and sketch oftheir graphs. Addition and subtraction formulae, formulae involvingmultiple and sub-multiple angles. General solution of trigonometricequations.

Complex NumberAlgebra of complex numbers, addition, multiplication, conjugation, polarrepresentation, properties of modulus and principal argument, triangleinequality, 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, geometricand harmonic means, sums of finite arithmetic and geometricprogressions, infinite geometric series, sums of squares and cubes ofthe first n natural numbers.

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

logarithmic series.

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


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

Straight Line :Cartesian coordinates, distance between two points, section formulae,shift of origin. Equation of a straight line in various forms, angle betweentwo lines, distance of a point from a line; Lines through the point ofintersection of two given lines equation of the bisector of the angle

between two lines, concurrency of lines; Centroid, orthocentre, incentreand circumcentre of a triangle.

Conic Sections :Equation of a circle in various forms, equations of tangent, normal andchord. Parametric equations of a circle, intersection of a circle with astraight line or a circle, equation of a through the points of intersectionof 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: Experimentsbased on using Vernier calipers and screw gauge (micrometer),Determination of g using simple pendulum, Youngs modulus by Searlesmethod.

Mechanics : Kinematics in one and two dimensions (Cartesiancoordinates only), projectiles; Uniform Circular motion; Relativevelocity.

Newtons laws of motion; Inertial and uniformly accelerated frames ofreference; Static and dynamic friction; Kinetic and potential energy;Work and power; Conservation of linear momentum and mechanicalenergy.

Systems of particles; Centre of mass and its motion; Impulse; Elasticand inelastic collisions.

Law of gravitation; Gravitational potential and field; Acceleration due togravity; Motion of planets and satellites in circular orbits; Escape velocity.

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, equation ofcontinuity, Bernoullis theorem and its applications.

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

Thermal physics :Thermal expansion of solids, liquids and gases;Calorimetry, latent heat; Heat conduction in one dimension; Elementaryconcepts of convection and radiation; Newtons law of cooling; Idealgas laws; Specific heats (Cv and Cp for monoatomic and diatomic

gases); Isothermal and adiabatic processes, bulk modulus of gases;Equivalence of heat and work; First law of thermodynamics and itsapplications (only for ideal gases); Blackbody radiation: absorptiveand emissive powers; Kirchhoffs law; Wiens displacement law,Stefans law.

CLASS - XII (CHEMISTRY)

Physical ChemistryGeneral topics : Concept of atoms and molecules; Daltons atomictheory; Mole concept; Chemical formulae; Balanced chemical equations;Calculations (based on mole concept) involving common oxidation-reduction, neutralisation, and displacement reactions; Concentration interms 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 partial pressures;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, work andheat, pressure-volume work; Enthalpy, Hesss law; Heat of reaction,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); Significance ofG and Go in chemical equilibrium; Solubility product, common ioneffect, pH and buffer solutions; Acids and bases (Bronsted and Lewisconcepts); Hydrolysis of salts.

Electrochemistry : Electrochemical cells and cell reactions; Standardelectrode potentials; Nernst equation and its relation to DG;Electrochemical series, emf of galvanic cells; Faradays laws ofelectrolysis; Electrolytic conductance, specific, equivalent and molar

conductivity, Kohlrauschs law; Concentration cells.

Chemical kinetics : Rates of chemical reactions; Order of reactions;Rate constant; First order reactions; Temperature dependence of rateconstant (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, ionicradii, simple ionic compounds, point defects.

Solutions : Raoults law; Molecular weight determination from loweringof vapour pressure, elevation of boiling point and depression of freezingpoint.

Surface chemistry : Elementary concepts of adsorption (excluding

adsorption 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), carbondating; Stability of nuclei with respect to proton-neutron ratio; Briefdiscussion on fission and fusion reactions.

Inorganic Chemistry

Isolation/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, oxyacids and


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ammonia; Phosphorus: oxides, oxyacids (phosphorus acid, phosphoricacid) and phosphine; Oxygen: ozone and hydrogen peroxide; Sulphur:hydrogen sulphide, oxides, sulphurous acid, sulphuric acid and sodiumthiosulphate; Halogens: hydrohalic acids, oxides and oxyacids ofchlorine, bleaching powder; Xenon fluorides.

Transition elements (3d series) : Definition, general characteristics,oxidation states and their stabilities, colour (excluding the details ofelectronic transitions) and calculation of spin (only magnetic moment),Coordination compounds: nomenclature of mononuclear coordination

compounds, cis-trans and ionisation isomerisms, hybridization andgeometries of mononuclear coordination compounds (linear, tetrahedral,square planar and octahedral).

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

Ores and minerals : Commonly occurring ores and minerals of iron,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 Chemistry

Concepts : Hybridisation of carbon; Sigma and pi-bonds; Shapes ofsimple organic molecules; Structural and geometrical isomerism; Opticalisomerism of compounds containing up to two asymmetric centres,(R,S and E,Z nomenclature excluded); IUPAC nomenclature of simpleorganic compounds (only hydrocarbons, mono-functional and bi-functional compounds); Conformations of ethane and butane (Newmanprojections); Resonance and hyperconjugation; Keto-enol tautomerism;Determination of empirical and molecular formulae of simple compounds(only combustion method); Hydrogen bonds: definition and their effects

on physical properties of alcohols and carboxylic acids; Inductive andresonance effects on acidity and basicity of organic acids and bases;Polarity and inductive effects in alkyl halides; Reactive intermediatesproduced during homolytic and heterolytic bond cleavage; Formation,structure and stability of carbocations, 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; Preparation ofalkanes 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 KMnO

4and ozone; Reduction of

alkenes and alkynes; Preparation of alkenes and alkynes by eliminationreactions; Electrophilic addition reactions of alkenes with X

2

, HX, HOXand H

2O (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 alcohols into aldehydes andketones; Ethers:Preparation by Williamsons Synthesis; Aldehydes

and Ketones: oxidation, reduction, oxime and hydrazone formation;aldol condensation, Perkin reaction; Cannizzaro reaction; haloformreaction and nucleophilic addition reactions (Grignard addition);Carboxylic acids: formation of esters, acid chlorides and amides,ester hydrolysis; Amines: basicity of substituted anilines and aliphatic

amines, preparation from nitro compounds, reaction with nitrous acid,azo coupling reaction of diazonium salts of aromatic amines, Sandmeyerand related reactions of diazonium salts; carbylamine reaction;Haloarenes: nucleophilic aromatic substitution in haloarenes andsubstituted haloarenes (excluding Benzyne mechanism and Cinesubstitution).

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

Amino acids and peptides :General structure (only primary structurefor 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 functional groups: hydroxyl(alcoholic and phenolic), carbonyl (aldehyde and ketone), carboxyl,amino and nitro; Chemical methods of separation of mono-functionalorganic compounds from binary mixtures.

CLASS - XII (MATHEMATICS)Complex Number and Quadratic equations :

Algebra of complex numbers, addition, multiplication, conjugation, polarrepresentation, properties of modulus and principal argument, triangleinequality, 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, geometricand harmonic means, sums of finite arithmetic and geometricprogressions, infinite geometric series, sums of squares and cubes ofthe 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, inverseof a square matrix of order up to three, properties of these matrixoperations, diagonal, symmetric and skew- symmetric matrices andtheir properties, solutions of simultaneous linear equation in two orthree variables.

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

Straight Line :

Cartesian coordinates, distance between two points, section formulae,shift of origin. Equation of a straight line in various forms, angle betweentwo lines, distance of a point from a line; Lines through the point ofintersection of two given lines equation of the bisector of the anglebetween two lines, concurrency of lines; Centroid, orthocentre, incentreand circumcentre of a triangle.

Conic Section :Equation of a circle in various forms, equations of tangent, normal andchord. Parametric equations of a circle, intersection of a circle with astraight line or a circle, equation of a through the points of intersectionof 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


8/90

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STP1617

Vectors :Addition of vectors, scalar multiplication, dot and cross products, scalartriple products and their geometrical interpretations. Position vector ofa point dividing a line segment in a given ratio. Projection of a vector ona 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 odd functions, inverseof 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, product andquotient of two functions, chain rule, derivatives of polynomial, rational,trigonometric, inverse trigonometric, exponential and logarithmicfunctions. Derivatives of implicit functions, derivatives up to order two.

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

Maxima & Minima :Increasing and decreasing functions, maximum and minimum values ofa 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 first orderdifferential equations.

Trigonometry :

Trigonometric functions, their periodicity and graphs addition andsubtraction formulae, formulae involving multiple and sub-multiple angles,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: Experimentsbased on using Vernier calipers and screw gauge (micrometer),Determination of g using simple pendulum, Youngs modulus by Searlesmethod, Specific heat of a liquid using calorimeter, focal length of aconcave mirror and a convex lens using u-v method, Speed of soundusing resonance column, Verification of Ohms law using voltmeter

and ammeter, and specific resistance of the material of a wire usingmeter bridge and post office box.

Mechanics : Kinematics in one and two dimensions (Cartesiancoordinates only), Projectile Motion; Uniform Circular Motion; RelativeVelocity.

Newtons laws of motion; Inertial and uniformly accelerated frames ofreference; Static and dynamic friction; Kinetic and potential energy;Work and power; Conservation of linear momentum and mechanicalenergy.

Systems of particles; Centre of mass and its motion; Impulse; Elasticand inelastic collisions.Law of gravitation; Gravitational potential and field; Acceleration due togravity; 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; Rollingwithout 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, equation ofcontinuity, Bernoullis theorem and its applications.

Waves :Wave motion (plane waves only), longitudinal and transverse

waves, superposition of waves; Progressive and stationary waves;Vibration of strings and air columns;Resonance; Beats; Speed of soundin gases; Doppler effect (in sound).

Thermal physics :Thermal expansion of solids, liquids and gases;Calorimetry, latent heat; Heat conduction in one dimension; Elementaryconcepts of convection and radiation; Newtons law of cooling; Idealgas laws; Specific heats (Cv and Cp for monoatomic and diatomicgases); Isothermal and adiabatic processes, bulk modulus of gases;Equivalence of heat and work; First law of thermodynamics and itsapplications (only for ideal gases); Blackbody radiation: absorptiveand emissive powers; Kirchhoffs law; Wiens displacement law,Stefans law.

Electricity and magnetism :Coulombs law; Electric field and potential;Electrical potential energy of a system of point charges and of electricaldipoles in a uniform electrostatic field; Electric field lines; Flux of electric

field; Gausss law and its application in simple cases, such as, to findfield due to infinitely long straight wire, uniformly charged infinite planesheet and uniformly charged thin spherical 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; Heatingeffect of current.

BiotSavarts law and Amperes law; Magnetic field near a current-carrying straight wire, along the axis of a circular coil and inside a longstraight solenoid; Force on a moving charge and on a current-carryingwire 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, ammeter andtheir conversions.Electromagnetic induction: Faradays law, Lenzs law; Self and mutualinductance; 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 mirrors andthin lenses; Magnification.

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

Modern physics :Atomic nucleus; Alpha, beta and gamma radiations;Law of radioactive decay; Decay constant; Half-lif e and mean life;Binding energy and its calculation; Fission and fusion processes; Energycalculation in these processes.

Photoelectric effect; Bohrs theory of hydrogen-like atoms;Characteristic and continuous X-rays, Moseleys law; de Brogliewavelength of matter waves.


9/90

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Page - 9

PART-A

SAMPLE TEST PAPER -I

(For Class-X Appearing / Passed Students)

Course : ABHINAV (EA*)

Correct Wrong Blank

1 to 30 31 to 60 61 to 90Only one correct

(dsoy ,d fodYi lgh)4 -1 0

Marks to be aw ardedPart - A

(Chemistry)

Part - B

(Physics)

Part - C

(Mathematics)Type

Straight Objective Type

This section contains 30 multiple choice questions. Each question has 4 choices (1), (2), (3) and (4)for its answer, out of whichONLY ONE is correct.

lh/k s oLrq fu B i zdkj

bl [k.M esa30cgq&fodYih iz'u gSaA izR;sd iz'u ds4fodYi (1), (2), (3)rFkk (4)gSa] ftuesalsflQZ ,d lghgSA

1. A certain gas takes two times as long to effuse out as methane under identical conditions. The gas could be:

vkn'kZ ifjfLFkfr;ksa esa ,d xSl] eSFksu dh rqyuk esa fulfjr gksus esa nks xquk le; ysrh gSA og xSl fuEu gks ldrh gS %(1) He (2) O

2

(3) SO2

(4) None of these (buesa ls dksbZ ugha)

2. During the conversion of NH2OHN

2O, the equivalent weight of NH

2OH is

(mol. wt. of NH2OH is M)

NH2OHN

2Ods ifjorZu ds nkSjku] NH

2OHdk rqY;kad Hkkj fuEu gS NH

2OHdk v.kqHkkj MgS

(1) M (2) M/2 (3) M/4 (4) M/5

3. Thermodynamically the most stable form of carbon is(1) Diamond (2) Graphite (3) Fullerenes (4) Coal

"ekxfrdh; :i ls dkcZu dk vf/kd LFkk;h :i voLFkk gS %

(1)ghjk (2)xzsQkbV (3)Qqyfju (4)dks;yk

4. Given,fn;k x;k gS %NH

3(g) + 3Cl

2(g) NCl

3(g) + 3HCl(g) ; H

1

N2(g) + 3H

2(g) 2NH

3(g) ; H

2

H2(g) + Cl

2(g) 2HCl(g) ; H

3

The heat of formation of NCl3(g) in terms of H

1, H

2and H

3is :

H1, H

2o H

3ds inks es NCl

3(g)ds lEHkou dh "ek gS %

(1) Hf= H1+ 2H2

23 H3 (2) Hf= H1 2

H2 +23 H3

(3) Hf= H

1+

2

H2 2

3H

3(4) H

f= H

1+H

2+ H

3

5. The value of log10

K for a reaction A B is :

(Given: K298rH = 54.07 kJ mol1, K298rS =10JK

1mol1and R = 8.314 JK1mol1; 2.303 x 8.314 x 298 = 5705)

fuEufyf[kr vfHkf;kA Bds fy, log10

Kdk eku gS

(fn;k x;k gS % K298rH = 54.07 kJ mol1, K298rS =10 JK

1mol1vkSj R=8.314 JK1mol1;2.303 x 8.314 x 298 =

5705fn;k gS)(1) 5 (2) 10 (3) 95 (4) 100


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STPXI1617

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6. For the reaction : CaCO3(s) CaO(s) + CO

2(g), K

p= 1 atm at 927C. If 20 g of CaCO

3were kept in a 10 litre

vessel at 927C, then the percentage of CaCO3remaining at equilibrium is :

vfHkf;k CaCO3(s) CaO(s) + CO

2(g)ds fy;s 927Cij K

p= 1 atmgSA ;fn 927Cij ,d 10yhVj ik=k esa

CaCO3dk 20 gfy;k tk;s] rc lkE;koLFkk ij cps gq, CaCO

3dh fr'kr D;k gksxh %

(1) 40% (2) 50% (3) 78% (4) 60%

7. N2and H2are taken in 1 : 3 molar ratio in a closed vessel to attained the following equilibrium

N2(g) + 3H2(g) 2NH3(g) . Find Kpfor reaction at total pressure of 2p if 2NP at equilibrium is 3P

.

lkE; N2(g) + 3H2(g) 2NH3(g)izkIr djusdsfy;s ,d can ik=k esaN2rFkk H2dks1 : 3eksyj vuqikr esaysrsgS] vfHkf;k

ds fy;s dqy nkc 2pij KpKkr djks ;fn lkE; ij 2NP 3P

gSA

(1) 2P3

1(2) 2P3

4(3) 3

P4 2(4) none (dksbZ ugha)

8. A(s) 2B(g) + C(g)The above equilibrium was established by initially taking A(s) only. At equilibrium, B is removed so that its partial

pressure at new equilibrium becomes 1/3rdof total pressure at initial equilibrium. Ratio of total pressure at new

equilibrium and at initial equilibrium will be :

A(s) 2B(g) + C(g)

mDr lkE; dks] izkjEHk esa dsoy A(s)ysdj LFkkfir fd;k x;kA lkE; ij] Bdks bl izdkj i`Fkd fd;k tkrk gS fd u;s lkE;

ij bldk vkaf'kd nkc] izkjfEHkd lkE; ij dqy nkc dk 1/3rdgks tkrk gSA rc] u;s lkE; ij dqy nkc rFkk izkjfEHkd lkE; ij

dqy nkc dk vuqikr fuEu gksxk %

(1) 2/3 (2) 14/13 (3) 5/3 (4) 17/19

9. An oxide of metal M has 40% by mass of oxgyen. Metal M has atomic mass of 24. The empirical formula of the

oxide :

,d /kkrq Mds vkWDlkbM esa Hkkj ds vuqlkj 40% vkWDlhtu gSA /kkrq Mdk ijek.kq Hkkj 24gSAvkWDlkbM dk ewykuqikrh lw=k

gksxk :(1) M2O (2) M2O3 (3) MO (4) M3O4

10. Which of the following behaves as both oxidising and reducing agent ?

fuEu esa ls dkSulk] vkWDlhdkjd o vipk;d nksuksa dh rjg O;ogkj djrk gS \(1) H

2SO

4(2) SO

2(3) H

2S (4) HNO

3

11. What volume of 0.15 M H2SO

4solution is required to react with 1.68 g of NaHCO

3, according to the following

equation :

H2SO

4(aq) + 2NaHCO

3(aq) Na

2SO

4(aq) + 2H

2O() + 2CO

2(g)

fuEu vfHkf;k ds vuqlkj NaHCO3ds 1.68 gds lkFk f;k djus ds fy;s 0.15 M H

2SO

4foy;u ds fdrus vk;ru dh

vko';drk gksxh %

H2SO

4(aq) + 2NaHCO

3(aq) Na

2SO

4(aq) + 2H

2O(l) + 2CO

2(g)

(1)3

200L (2) 133.33 mL (3) 66.66 mL. (4)

3

100L

12. The ratio of the velocity of the electron in the third and fifth shell for He+would be :He+ds rhljs o ikposa dks'k esa bysDVkWu ds osxksa dk vuqikr gksxk %(1) 5 : 3 (2) 1 : 2 (3) 3 : 5 (4) 3 : 4


11/90

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Page - 11

13. 5 L of a sample of a gas at 27C and 1 bar pressure is compressed to a volume of 1000 mL keeping the

temperature constant. The percentage increase in pressure is :

27Crki vkSj 1ckj nkc ij ,d xSl ds 5 Luewus dks 1000 mLds vk;ru rd] rki dks fu;r j[krs gq,] LkEihfMr djrs

gSA rc nkc esa fdrus %dh o`f) gksxh %(1) 100 % (2) 400 % (3) 500% (4) 80%

14. The uncertainty in position and velocity of a particle are 0.5 and 5.27 1024m/s respectively. Then, the

approximate mass of the particle is :;fn fdlh ,d d.k dh fLFkfr rFkk osx esa vfuf'pr~rk e'k% 0.5 rFkk 5.27 1024m/sgS] rks d.k dk nzO;eku yxHkx

fdruk gksxk :(1) 0.1 Kg (2) 0.2 Kg (3) 0.5 Kg (4) 0.4 Kg

15. An electron in a Hydrogen like atom jumps from an energy level to another energy level in such a way that its potential

energy changes from y to4

y. The change in kinetic energy of electron will be :

,d gkbMkstu tSls ijek.kq esa ,d bysDVkWu] ,d tkZ Lrj ls vU; tkZ Lrj esa bl izdkj dwnrk gS] fd bldh fLFkfrt tkZ

yls 4yrd ifjofrZr gks tkrh g SA rc bldh xfrt tkZ esa ifjorZu fuEu gksxk :

(1) +8

3y (2) y

4

3 (3)

8

3y (4) + y

4

3

16. S1: The energy of the electron in 3d-orbital is less than that in 4s-orbital in the hydrogen atom.

S2: The maximum values of azimuthal quantum number are four (0, 1, 2, 3) for all the known atoms.

S3: The electron density in xy plane of 22 yxd3 orbital is zero.

S1: gkbMkstu ijek.kq esa 3d-d{kd esa bySDVkWu dh tkZ 4s-d{kd dh vis{kk de gksrh gSA

S2: lHkh Kkr ijek.kqvksa ds fy, f}xa'kh DokaVe la[;k ds vf/kdre eku pkj (0, 1, 2, 3)gSaA

S3: 22 yx

d3 d{kd ds xyry esa bySDVkWu ?kuRo 'kwU; gSA

(1) TTF (2) FFT (3) TTT (4) FFF

17. S-1: Kinetic energy is zero at 0C.

S-2: In the van der Waal's equation,

2

2

V

anP (V nb) = nRT

the constant a is the actual volume of the gas molecules.

S-3: The molecules of real gases have both volume and mutual attraction.S-4 : A gas with TC= 360 K and PC= 50 atm cannot be liquefied at 300 K and 50 atm.(1) FFTT (2) TTTF (3) FFFT (4) FTFT

S-1: 0Cij xfrt tk Z 'kw U; gk srh g SA

S-2: okUMjokW Yl~ lehdj.k esa

2

2

V

anP (V nb) = nRT

fu;rkad axSl v.kqvksa dk okLrfod vk;ru gksrk gSA

S-3 : okLrfod xSl ds v.kq vk;ru o vU;ksU; vkd"kZ.k nksuka s j[krs gSA

S-4 : TC= 360 KoPC= 50 atmdslkFk jgusokyh ,d xSl dks300 Ko50 atmij nzohd`r ughafd;k tk ldrkgSA(1) FFTT (2) TTTF (3) FFFT (4) FTFT


12/90

STPXI1617

Page - 12

18. The rms velocity of hydrogen is 7 times the rms velocity of nitrogen. If T is the temperature of the gas, then

gkbMkstu dk rmsosx] ukbVkstu ds rmsosx ls 7 xquk gS ;fn xSl dk rkieku TgS] rks

(1) )N()H( 22 TT (2) )N()H( 22 TT (3) )N()H( 22 TT (4) )N()H( 22 T7T

19. The common feature of the species CN, CO, NO+are :(1) bond order three and isoelectronic.(2) bond order three and weak field ligand.

(3) bond order two and acceptor.(4) isoelectronic and weak field ligands.

Lih'kht CN, CO, NO+ds fy, leku (common) vfHky{k.k fuEu gSa %

(1)cU/k e rhu rFkk lebysDVkWfud gSA

(2)cU/kerhu rFkk nqcZy {ks=k okyk fyxsaM gSaA

(3)cU/k enks rFkkxzkgh gSSA(4)lebysDVkWfud rFkk nqcZy {ks=k fyxsaM gSA

20. Which of the following are isoelectronic and isostructural ?NO

3, CO

32, ClO

3, SO

3.

fuEu es ls dkSu lebySDVkWfud o lelajpukRed gSa \NO

3, CO

32, ClO

3, SO

3.

(1) NO3, CO

32 (2) SO

3, NO

3

(3) ClO3, CO

32 (4) CO

32, SO

3.

21. Identify the correct order of boiling points of the following compounds :

fuEu ;kSfxdksa ds DoFkukadksa dk lgh e gS %

1OHCHCHCHCH 2223

2CHOCHCHCH 223

3COOHCHCHCH 223

(1) 1 > 2 > 3 (2) 3 > 1 > 2 (3) 1 > 3 > 2 (4) 3 > 2 > 1

22. Atomic number of 15, 33, 51 represents the following family :(1) carbon family (2) nitrogen family(3) oxygen family (4) None

ijek.kq la[;k15, 33, 51fuEu ifjokj ls lEcaf/kr gS:

(1)dkcZu ifjokj (2)ukbVkstu ifjokj

(3) vkWDlhtu ifjokj (4)dksbZ ugh

23. The correct order of radii is :

f=kT;k dk lgh e gSA(1) N < Be < B (2) Mg2+< Li+< N3 (3) Na < Li < K (4) Fe+3< Fe2+< Fe4+

24. Chalcogens are elements of :(1) group 16 (2) p-block

(3) ns2np4configuration (4) all are correct

pkydkstUl fdlds rRo gSa %

(1)oxZ 16 (2) p-CykWd

(3) ns2np4foU;kl (4)lHkh lgh gSaA

25. Plaster of Paris is :

IykLVj vkWQ isfjl gS %(1) CaSO

4.H

2O (2) CaSO

4.2H

2O

(3) CaSO4.

2

1H

2O (4) CaSO

4.1

2

1H

2O.


13/90

STPXI1617

Page - 13

26. The stability of the following alkali metal chloride follows the order :{kkjh; /kkrq DyksjkbM ds LFkk;hRo dk lgh e fuEu gSA(1) LiCl > KCI > NaCL > CsCl (2) CsCl > KCI > NaCl > LiCl(3) NaCl > KCI > LiCl > CsCl (4) KCI > CsCl > NaCl > LiCl

27. Amongst the following the weakest base is :

fuEu esa ls dkSulk nqcZyre {kkj gS %(1) KOH (2) NaOH

(3) Mg(OH)2 (4) Ca(OH)2

28.CH COONa2 CH 2

CH CH COONa2 2

isElectrolys Product is :

CH COONa2 CH 2

CH CH COONa2 2

vi?kVurq|oS mRikn gSA

(1) CH3CH

2CH=CH

2(2) CH

3CH=CHCH

3(3) (4)

29. Arrange the following compound in decreasing order of their boiling point.

(I) Pentane (II) Hexane

(III) 2-Methyl hexane (IV) octane

(1) IV > II > III > I (2) II > III > IV > I

(3) IV > III > II > I (4) II > I > III > IV

uhps fn;s x;s ;kSfxdks ds DoFkukad fcUnq dk ?kVrk gqvk lgh e dkSulk gS %

(I)isUVsu (II)gsDlsu(III) 2-esfFky gsDlsu (IV) vkWDVsu

(1) IV > II > III > I (2) II > III > IV > I

(3) IV > III > II > I (4) II > I > III > IV

30. Alcoholic solution of caustic potash is a specific reagent for(1) Dehydration (2) Dehydrohalogenation(3) Dehydrogenation (4) Hydration.

dkfLVd ikSVk'k dk ,YdksgkWfyd foy;u ,d fof'k"V vfHkdkjd gSA(1)futZyhdj.k dsfy, (2)fogkbMksgSyksthdj.k dsfy,(3)fogkbMkstuhdj.k dsfy, (4)ty;kstu ds fy,

PARTB

Straight Objective TypeThis section contains 30 questions. Each question has 4 choices (1), (2), (3) and (4) for its answer, out of whichONLY ONE is correct.

lh/k s oLrq fu B i zdkj

bl [k.M esa 30iz'u gSaA izR;sd iz'u ds 4fodYi (1), (2), (3)rFkk (4)gSa] ftuesa ls flQ Z ,d lghgSA

31. A sail boat sails 2 km due East, 5 km 37 South of East and finally an unknown displacement. If the final

displacement of the boat from the starting point is 6 km due East, the third displacement is ____________.

,d uko igys 2 kmiwoZ dh vksj fQj 37iwoZ ls nf{k.k dh vksj 5 kmvkSj vUr esa ,d vKkr foLFkkiu r; djrh gSA ;fn

vUr esa uko dk foLFkkiu kjfEHkd fcUnq ls iwoZ dh vksj 6 kmgks rks vKkr foLFkkiu ___________gSA(1) 3 km north (2) 3 km south. (3) 3 km east. (4) 3 km west.


14/90

STPXI1617

Page - 14

32. A stone is projected with a velocity of 10 m/s at angle of 37 with horizontal. Its average velocity till it reaches thehighest position is : (Assume horizontal direction as x-axis and vertical upward direction as +y-axis)

,d iRFkj dks {kSfrt ls 37dks.k ij 10 m/sosx ls {ksfir fd;k tkrk gSA mPpre fLFkfr rd igqpus esa bldk vkSlr osxD;k gksxk: ({kSfrt fn'kk dks x-v{k rFkk /okZ/kj ij dh fn'kk dks +y-v{k ekusa)

(1) j3i4 (2) j6i8 (3) j3i8 (4) i8

33. Positiontime graph for a particle moving along x-direction is as shown in the figure. Average speed of theparticle from t = 0 to t = 4 is :x-v{k ds vuqfn'k xfr'khy d.k ds fy, fLFkfr o fp=k esa nf'kZr g SAt = 0ls t = 4rd d.k dh vkSlr pky gS :

(1)4

15m/s (2)

3

10m/s (3)

2

5m/s (4)

4

5m/s

34. A particle is projected in a smooth fixed square tube from point A. The tube is in vertical plane and D and B areat same horizontal level as shown in figure. Then : (Assume velocity of particle changes smoothly at corners)

(1) velocity at A is equal to velocity at C (2) velocity at B is equal to velocity at D(3) velocity at A is equal to negative of velocity at C (4) speed at B is equal to speed at D

fpduh tM+or~oxkZdkj uyh ds fcUnqAls,d d.k dks{ksfir fd;k tkrk gSA uyh /okZ/kj ry esagSrFkkDrFkk Bfp=kkuqlkjleku {kSfrt Lrj ij gS rks : ekuk d.k dk osx oxZ ds dksus ls vklkuh ls fn'kk cnyrk gSA(1) Aij osx] Cij osx ds leku gSA (2) BrFkk Dij osx leku gSA(3) Aij osx Cij _.kkRed osx ds cjkcj gSA (4) BrFkk Dij d.k dh pky ,dleku gSA

35. A particle is moving along straight line whose position x at time t is described by x = t3 t2where x is in metersand t is in seconds. Then the average acceleration from t = 2 sec. to t = 4 sec. is :

ljy js[kk ds vuqfn'k xfr'khy d.k dh fLFkfr xle; tdslkFk x = t3 t2}kjk nh tkrh gSA ;gkWx-ehVj esa rFkk le;&lSd.Mesa gSA t = 2 sec.lst = 4 sec.ds e/; vkSlr Roj.k D;k gksxk :

(1) 16 m/s2

(2) 18 m/s2

(3) 22 m/s (4) 10 m/s2

36. A ball is thrown vertically upwards with an initial velocity of 5 m/sec from point P as shown. Q is a point 10m vert ically below the point P. Then the speed of the ball at point Q will be : (take g = 10 m/s2 and neglectair resistance)

fp=k esa n'kkZ;s vuqlkj ,d xsan dks 5 m/secds izkjfEHkd osx ls fcUnq Pls /okZ/kj ij dh vkSj Qsadk tkrk gSA Pls10eh- /okZ/kj uhps fcUnq QfLFkr gSA fcUnq Qij xsan dh pky Kkr dhft;s (g = 10 m/s2,oa ok;q ?k"kZ.k dks ux.; ekfu;s)

P

Q

10m

5m/s

ground(1) 7.5 m/sec (2) 10 m/sec (3) 15 m/sec (4) 17.5 m/sec


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37. A body goes 10 km north and 20 km east. What wil l be the displacement from init ial point ?

,d oLrq 10 kmmkj esa 20 kmiwoZ esa xfr djrh gSA oLrq dk kjfEHkd fcUnq ls foLFkkiu crkb;s ?(1) 22.36 km (2) 2 km (3) 5 km (4) 30 km

38. A car covers a distance of 2 km in 2.5 minutes. If it covers half of the distance with speed 40 km/hr, the

rest distance it shall cover with a speed of:

,d dkj 2 kmdh nwjh 2.5feuV esa r; djrh gSA ;fn dkj vk/kh nwjh 40 km/hrdh pky ls r; djsa rks vxyh vk/kh nwjhfdl pky ls r; djsxhA(1) 56 km/hr (2) 60 km/hr (3) 48 km/hr (4) 50 km/hr

39. The distance travelled by a freely fall ing body is proportional to

(1) the mass of the body (2) the square of the acceleration due to gravity

(3) the square of the time of fall (4) the time of fall

LorU=krkiwoZd fxjrh gqbZ oLrq }kjk r; dh xbZ nwjh lekuqikrh gksrh gS &

(1)oLrq ds nzO;eku ds (2)xq:Roh; Roj.k ds oxZ ds

(3)fxjus ds le; oxZ ds (4)fxjus ds le; ds

40. Two bodies with kinetic energies in the ratio 4 : 1 are moving with equal linear momentum, The ratio of their

masses is :

leku js[kh; laosx okyh nks oLrqvks dh xfrt tkZvksa dk vuqikr 4 : 1gSA buds O;ekuksa dk vuqikr gksxk %(1) 1 : 2 (2) 1 :1 (3) 4 : 1 (4) 1 : 4

41. Force F on a particle moving in a straight line varies with distance d as shown in the figure. The work done by the

force F on the particle during its displacement of 12 m is :

lh/kh js[kk ij xfr djrs gq, d.k ij yxk cy Fnwjh dds lkFk fp=k esa fn[kk;s x;s vuqlkj ifjofrZr gksrk gSA rks d.k ds 12mds foLFkkiu ds nkSjku d.k ij fd;k x;k dk;Z gksxk :

(1) 18 J (2) 21 J (3) 26 J (4) 13 J

42. Which one of the following cannot be explained on the basis of Newton's third law of motion?

(1) rowing of boat in a pond (2) motion of jet in the sky(3) rebounding of a ball from a wal l (4) returning back of body thrown above

U;wVu ds f}rh; fu;e }kjk fdldks ugh le>k ldrs gSA

(1)rkykc esa uko dh xfr (2) vkdk'k esa ok;q;ku dh xfr

(3)fnokj ls Vdjkdj xsan dk okil yksVuk (4)ij Qsdh xbZ oLrq dk okil yksVuk

43. A thunder clap is heard 5.5 second after the lightening flash. The distance of the flash is (veloci ty of sound

in air is 330 m/s) :

fctyh ds pedsu ds 5.5 sec.i'pkr~ fctyh ds dM+dus dh vkokt lqukbZ nsrh gSA fctyh fdruh nwjh ij pedh gksxh (ok;q

es /ofu dk osx 330 m/sgSA) :(1) 3560 m (2) 300 m (3) 1780 m (4) 1815 m


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44. 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 theliquid.

Of these statements :

(1) Only (i), (ii) and (iv) are correct. (2) Only (ii) is correct.(3) Only (iii) and (iv) are correct. (4) (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 gSA

bu dFkuksa esa:

(1)dsoy (i), (ii)rFkk(iv)lR; gSA (2)dsoy(ii)lR; gSA

(3)dsoy(iii)rFkk(iv)lR; gSA (4) (i), (ii)rFkk(iv) vlR; gSA

45. An object will continue accelerating untill

(1) the resultant force on it begins to decrease (2) the velocity changes direction

(3) the resultant force on it is zero (4) the resultant force is at right angles to its direction of motion

dksbZ oLrq rc rd Rofjr gksrh jgsxh tc rd fd

(1)bl ij ifj.kkeh cy ?kVus yxs (2)osx dh fn'kk ifjofrZr gks tk;s

(3)bl ij ifj.kkeh cy 'kwU; gks tk;s (4)ifj.kkeh cy xfr dh fn'kk ds yEcor~ gks

46. Two bodies of different masses maand m

bare dropped from two different heights, viz a and b. The ratio of times

taken by the two to drop through these distance is

nks oLrq,sa marFkk m

bnzO;eku dh vyx vyx pkbZ e'k% arFkk bls fxjkbZ tkrh gSA rks oLrqvksa }kjk bu pkb;ksa dks ikj

djus esa yxs le;ksa dk vuqikr gS&

(1) a : b (2)a

b

m b:

m a (3) a : b (4)2 2a : b

47. A cannon after firing recoils due to-(1) Conservation of energy (2) Backward thrust of gases produced(3) Newton's third law of motion (4) Newton's first law of motion

,d cUnwd xksyh NksM+us ds i'pkr~ ihNs dh fn'kk esa fuEu dkj.k ls tkrh gS&

(1)tkZ laj{k.k fu;e ls (2)foijhr fn'kk esa xSl }kjk cy yxrk gSA

(3)U;wVu ds r`rh; fu;e ls (4)U;wVu ds izFke fu;e ls

48. A force of 6N acts on a body at rest of mass 1 kg. During this time, the body attains a velocity of 30 m/s. Thetime for which the force acts on the body is-(1) 10 seconds (2) 8 seconds (3) 7 seconds (4) 5 seconds

1fdxzk nzO;eku dh fLFkj oLrq ij 6Ndk cy dk;Z dj jgk gS bl le;] oLrq dk osx 30eh@ls- gS tc oLrq ij cy dk;Z

djsxk og le; gksxk&

(1) 10lsd.M (2) 8lsd.M (3) 7lsd.M (4) 5lsd.M


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49. When a constant force is applied to a body, it moves with uniform :(1) acceleration (2) velocity (3) speed (4) momentum

tc ,d oLrq ij fu;r cy yxk;k tkrk gSA rk s bldh xfr fu;r &

(1)Roj.k ls gksrh gSA (2)osx ls gksrh gSA (3)pky ls gksrh gSA (4)lao sx ls gksrh gSA

50. Three identical blocks of masses m = 2 kg are drawn by a force F = 10.2 N on a frictionless surface, then whatis the tension (in N) in the string between the blocks B and C ?

rhu m = 2 kgds ,dleku nzO;eku F = 10.2 Ncy }kjk ?k"kZ.kghu lrg ij [khaps tkrs gSa] rks CykWd BrFkk Cds e/; jLlhesa ruko (Nesa)gksxk ?

(1) 9.2 (2) 3.4 (3) 4 (4) 9.8

51. A body of mass 0.1 kg attains a velocity of 10 ms1. in 0.1 s. The average force acting on the body is :

0.1 kgnzO;eku dh ,d oLrq 0.1 sesa 10 ms1dk osx izkIr djrh gSA oLrq ij dk;Zjr vkSlr cy gSA(1) 10 N (2) 0.01 N (3) 0.1 N (4) 100 N

52. If XYZ is an equilateral triangle. Then the resultant of the three forces shown in the figure is :

;fn XYZleckgq f=kHkqt gks rks fp=k eas fn[kk;s x;s rhu cyksa dk ifj.kkeh gksxk :

(1) F (2) 20F (3) 21F (4) 3F

53. A candle is used as an object and placed at a distance of 30 cm from a lens of power 5D (power may be positiveor negative). At how much distance from the lens, should we place a screen, so that a sharp and inverted imageof the candle can be formed :

,d ekseckh dks ,d fcEc dh rjg ;qDr fd;k gS vkSj bls ,d ySUl ls 30 cmnwjh ij j[kk gSA ySUl dh 'kfDr 5DgS

(ySUl dh 'kfDr /kukRed Hkh gks ldrh gS ;k _.kkRed Hkh)A ySUl ls fdruh nwjh ij ,d insZ dks j[kk tk,] rkfd ekseckh dk,d Li"V(sharp) vkSj mYVk frcEc cu tk,A(1) 30 cm (2) 40 cm (3) 50 cm (4) 60 cm

54. Suppose a positive charge is moving with a velocity v in a magnetic field B

, and experiences a magnetic force

F

. According to the Fleming's left hand rule, the forefinger, the central finger and the thumb will respectively

point towards :

(1) FandV,B

(2) FandB,V

(3) BandV,F

(4) None of these

,d /kukos'k v osx ls B

,ds pqEcdh; {kS=k esa xfr dj jgk gS] vkSj mls F

pqEcdh; cy vuqHko gks jgk gSA Flemingds ck,

gkFk ds fu;e ds vuqlkj vkxs okyh vaxqyh (forefinger),e/;e vaxqyh vkSj vaxwBk e'k% fdlds vuqfn'k gksrs gSA(1) B,V F

rFkk (2) V,B F

rFkk (3) F,V B

rFkk (4)buesa ls dksbZ ugh


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55. Which of the following lenses would you prefer to use while reading small letters found in a dictionary. lens iskept just above the dictionary ?(1) A convex lens of focal length 50 cm (2) A concave lens of focal length 40 cm(3) A convex lens of focal length 5 cm (4) A concave lens of focal length 5 cm

'kCndks"k (dictionary)esa fLFkr NksVs 'kCnks dks i


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PART - C (Hkkx- C)

SECTION - I ([k.M- I)

Straight Objective Type (lh/k s oLrqfu B izdkj )

This section contains 25 questions. Each question has 4 choices (1), (2), (3) and (4) for its answer, out of which

ONLY ONE is correct.bl [k.M esa 25iz'u gSaA izR;sd iz'u ds 4fodYi (1), (2), (3)rFkk (4)gSa] ftuesa ls flQ Z ,d lghgSA

61. 5 men take as much time to do a job as 10 women take. If 6 men take 10 days to complete a job working 4 hrsper day, how much time would 10 women take to do a job twice as much as the former the same working 6 hrs

a day ?

fdlh dk;Z dksdjus ds fy, 5vkneh vkSj 10 vkSjrsas leku le; yxkrsgSA ;fn 6 vkneh fdlh dk;Z dks iw.kZdjus esa 10fnu

(izR;sd fnu 4?k.Vs)dk le; ysrs gS] rc bl dk;Z ds nqxqus dk;Z dks djus esa 10 vkSjrsa izfrfnu 6?k.Vs dk;Z djrs gq, fdrus

fnuksa esa dk;Z dks iw.kZ dj nasxh ?

(1) 12 days (fnu) (2) 14 days (fnu) (3) 16 days (fnu) (4) 18 days (fnu)

62. Given f igure shows a circle with centre at O, AOB = 30, and OA = 6 cm, then area of the shaded region is

fn;s x;s fp=k esa ,d o`k dk dsUnz OgS rFkk AOB = 30,o OA = 6 cmgS] rks Nk;kafdr {ks=k dk {ks=kQy gS&

(1) 3 9cm2 (2) 3cm2 (3) 9 3cm2 (4) 3 93

63. Pointing to a person, Deepak said, His only brother is the father of my daughters father. How is the personrelated to Deepak?(1) Father (2) Grandfather (3) Uncle (4) Brother-in-law

fdlh O;fDr dh vksj bafxr djrs gq, nhid dgrk gS fd mldk ,d ek=k HkkbZ esjh iq=kh ds firk dk firk gS rks bl O;fDr

dk nhid ls D;k lEcU/k gS&

(1)firk dk (2)nknk dk (3)pkpk dk (4)iRuh dk HkkbZ

64. In given figure, ABC is a quarter circle and a circle is inscribed in it and if AB = 1 cm, f ind radius of smallercircle.

fn;s x;s fp=k esa] ABC,d pkSFkkbZ o`k gS rFkk blds vUrxZr ,d o`k gS ;fn AB = 1 cmgS] rc NksVs o`k dh f=kT;k gS(1) 12

(2) 2/12(3) 2/12

(4) 221

B C

A

1cm

1cm65. If

31

31

sincos

sincos

, then acute angle =

;fn 31

31

sincos

sincos

,rks U;wudks.k =

(1) 60 (2) 30 (3) 45 (4) 90


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66. How many triangles are there in the figure below?

fuEu vkd`fr esa f=kHkqtksa dh la[;k fdruh gS ?

(1) 5 (2) 6 (3) 8 (4) 10

67. The sum of ages of a father and son is 45 years. Five years ago, the product of their ages was 4 times the ageof the father at that time. The present age of the father is(1) 30 yrs (2) 31 yrs (3) 36 yrs (4) 41 yrs

,d firk ,oa mlds iq=k dh vk;q dk ;ksx 45o"kZ gSA ikp o"kZ igys mudh vk;q dk xq.kuQy] ml le; firk dh vk;q dk 4

xquk FkhA firk dh orZeku vk;q gksxh&(1) 30o"kZ (2) 31o"kZ (3) 36o"kZ (4) 41o"kZ

68. (55)3+ (17)3 (72)3is divisible by(1) both 3 & 13 (2) both 7 and 17(3) both 3 & 17 (4) both 7 & 13

(55)3+ (17)3 (72)3foHkkftr gksxk&

(1) 3rFkk 13nksuksa ls (2) 7rFkk 17nksuksa ls(3) 3rFkk 17nksuksa ls (4) 7rFkk 13nksuksa ls

69. If the equation x2 2kx 2x + k2= 0 has equal roots, the value of k must be

;fn lehdj.k x2 2kx 2x + k2= 0ds ewy leku gSa] rks kdk eku gksxk

(1) zero ('kwU;) (2) either zero or ('kwU; ;k)2

1

(3)2

1 (4) either

2

1or

2

1 (

2

1;k

2

1)

70. Curved surface area of cylinder is 528 and height is 14 then radius of cylinder is

csyu ds o i"B dk {ks=kQy 528 vkSj pkbZ 14gS] rks csyu dh f=kT;k gS&(1) 5 (2) 6 (3) 3 (4) 4

71. A cone is cut half way through its axis and parallel to the base, the volumes of two portions are in the ratio :

,d 'kadq dks vk/kkj ds lekUrj rFkk v{k ds e/; fcUnq ls dkVk tkrk gS] rc bu nksuksa Hkkxkssa ds vk;ru dk vuqikr gS&(1) 1 : 1 (2) 1 : 3 (3) 1 : 7 (4) 1 : 4

72. A sum of Rs. 500/- was lent for two years at 2% compound interest. The interest for two years will be

500/-ds ewy/ku dks 2%po`f) C;kt dh nj ls 2o"kZ ds fy, m/kkj fn;k tkrk gSA 2o"kZ ds fy, C;kt gksxk&(1) Rs. 20.00 (2) Rs. 25.00 (3) Rs. 50.20 (4) Rs. 20.20

73. The mean of 16 numbers is 8. If 2 is added to every number, then the new mean will be :

16la[;kvksa dk ek/; 8gS] ;fn izR;sd la[;k esa 2tksM+k tkrk gS] rks u;k ek/; gksxk(1) 6 (2) 8 (3) 10 (4) 16

74. Which of the following are true ?fuEu esa dkSuls dFku lR; gS \(1) sum of two irrational numbers is irrational (nks vifjes; la[;kvksa dk ;ksx vifjes; gS)

(2) sum of two rational numbers is rational (nks ifjes; la[;kvksa dk ;ksx ifjes; gS)

(3) if a, b are rational numbers, thenb

ais always rational

(;fn a, bifjes; la[;k,sa gS] rksba

lnSo ifjes; la[;k gS)

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


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75. Two villages A and B on the level ground are 2 km. apart. The angles of depression of these villages whenobserved from an aeroplane h meter high are found to be 45 and 60 respectively. If C is the point on the levelground vertically below the aeroplane at the time of observation and A, B and C are in a straight line, where A andB are on opposite side of C then

lery tehu ij nks xkoArFkk B,d nwljs ls 2fdyksehVj dh nwjh ij fLFkr g SA ,d gokbZtgkt tksfd hehVj pkbZ ijmM+ jgk gS] ls voyksdu djus ij nksuksa xkoksa ds voueu dks.k e'k% 45rFkk 60ik;sx;s gSaA ;fn voyksdu ds le; lerytehu ij gokbZtgkt ls lh/kk m?okZ/kj uhps ,d fcUnq CgS rFkk A, BrFkk C,d gh ljy js[kk esa bl izdkj gS fdArFkk B

fcUnq Cds foijhr i{kksa esa gS] rc(1) h = 3 + 3 (2) h = 3 3 (3) AC = 3 + 1 (4) AC = 3 + 3

76. A drum of water is5

3full. When 57 litres are drawn from it, it is just

8

1full. Find the total capacity of drum.

ikuh ds ,d Me dk5

3Hkkx Hkjk gSA tc blesa ls 57yhVj ikuh fudky fy;k tkrk gS rks vc bldk

8

1Hkkx gh Hkjk jg tkrk

gSA Me dh dqy {kerk Kkr dhft,&(1) 120 ml (feyh yhVj) (2) 120 lit (yhVj) (3) 100 lit (yhVj) (4) 240 lit (yhVj)

77. The perimeter of a rhombus is 52 meters , while its longer diagonal is 24 meters . Then the other diagonal is :,d leprqHkqZt dk ifjeki 52ehVj gS] tcfd bldk cM+k fod.kZdh yEckbZ24ehVj gSA rks nwljs fod.kZdh yEckbZgS(1) 10 meters (ehVj) (2) 12 meters(ehVj) (3) 20 meters(ehVj) (4) 28 meters (ehVj)

78. A rational number between 2 & 3 is

2 o 3 ds chp ,d ifje s; la[; k gS :

(1)2 3

2

(2)

2 3

2

.(3) 1.4 (4) 1.5

79. The value of expression , sin tan seccos cot cos

30 45 60

30 45 60

ec=

O;atdsin tan sec

cos cot cos

30 45 60

30 45 60

ec

dk eku g S&

(1) 0 (2) 1 (3) 1 (4) 2 + 3

80. If we divide the polynomial , f (x) = x3+ x24x + 3 by the polynomial g (x) = x 1 , then remainder is;fn ge cgqin f (x) = x3+ x24x + 3 dks cgqin g (x) = x 1ls Hk kx ns rks 'k s"kQy gksxk&(1) 0 (2) 1 (3) 1 (4) x

81. The value of 12 22+ 32 42+ 52 62+ ....+ 992 1002is12 22+ 32 42+ 52 62+ ....+ 992 1002dk eku gS&(1) 100 (2) 5050 (3) 2500 (4) 2520

82. If the nth term of an A.P. is (2n + 1), then sum of first n terms of the A.P is

;fn ,d lekUrj Js.kh dk nok in (2n + 1)gS] rks lekUrj Js.kh ds izFke ninksa dk ;ksx gS&(1) n(n +1) (2) n(n + 2) (3) n(n + 3) (4) n2

83. Water runs into a cylindrical tank , of diameter 4 m and height 5 m , through a pipe of radius 2 cm , at therate of 1/10 m per second . Find the time taken by the tank to fill up .

,d csyukdkj VS ad ftldk O;kl 4 mo pkbZ 5 mgS dks ,d 2 cmf=kT;k okyh uyh ls 1/10 mizfr lSd.M dh nj

ls Hkj k tkrk gSA VSad dks Hkjus esa dqy le; yxsxk :(1) 150 hr (2) 150 hr 50 min 50 sec(3) 138 hr 53 min 20 sec (4) 100 hr 50 min


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84. A jet plane is flying horizontally at some fixed height. At an instant of t ime the angle of depression of anobject on the ground, whose distance from the plane is 200 km, is 30. After an hour the angle of depres-sion becomes 60. What is the distance between the plane and the object in new position (in km) ? (,d

tsV foeku ,d fuf'pr pkbZ ij {kS frt fn'kk esa mM + jgk gSA fdlh {k.k /kjkry ij ,d oLrq] ftldh foeku ls nwjh200fdeh g Sa] dk voueu dks. k 30gSA ,d ?kUV s ckn voueu dks.k 60gks tkrk gSA foeku o oLrq ds chp bl u;h

fLFkfr es a D;k n wjh g S(fdeh es a)?)

(1) 3

100

(2) 100 3 (3) 3

200

(4) 200

85. In the sequence 2 , 5 , 9 , 14 , 20 , 27 ......, the 7 thterm is :(Js.kh 2 , 5 , 9 , 14 , 20 , 27 ........esa 7okWa in gS:)(1) 45 (2) 34 (3) 35 (4) 36

SECTION - II ([k.M- II)

Reasoning Type (dkj.k&izdkj)This section contains 5 reasoning type questions. Each question has 4 choices (1), (2), (3) and (4), out ofwhich ONLY ONEis correct.

bl [k.M esa 5dkj.k ds 'u gSA R;sd 'u ds 4fodYi (1), (2), (3)rFkk(4)gS] ftlesa ls flQZ ,d lg hgSA

86. STATEMENT- 1 : In given figure, ABCD is a cyclicquadrilateral inscribed in a circle with the centre O.Then OAD is equal to 60

O

30

C

A B

D 50

40

STATEMENT- 2 : In cyclic quadrilateral, sum of opposite angles is 180.(1) Statement -1 is True, Statement -2 is True ; Statement -2 is a correct explanation for Statement -1(2) Statement-1 is True, Statement-2 is True ; Statement-2 is NOTa correct explanation for Statement-1(3) Statement -1 is True, Statement -2 is False(4) Statement -1 is False, Statement -2 is True

oDrO;

-1 :fn;s x;s fp=k esa] dsUnz Ods o`k esaABCD,d ph; prqHkqZt gS] rc OAD = 60gksxkA

O

30

C

A B

D 50

40

oDrO;-2 :ph; prqHkqZt ds ijLij foijhr dks.kksa dk ;ksx 180gksrk gSA(1)oDrO;-1lR; gS] oDrO;-2lR; gS ;oDrO;-2,oDrO;-1dk lgh Li"Vhdj.k gSA(2)oDrO;-1lR; gS] oDrO;-2lR; gS ;oDrO;-2,oDrO;-1dk lgh Li"Vhdj.k ugha gSA

(3)oDrO;-1lR; gS] oDrO;-2 vlR; gSA(4)oDrO;-1 vlR; gS] oDrO;-2lR; gSA

87. STATEMENT- 1 : If the LCM of first 100 natural numbers is Pthen the LCM of first 105 natural numberswould be 103 101 P.STATEMENT- 2 : 101 and 103 are prime numbers.(1) Statement -1 is True, Statement -2 is True ; Statement -2 is a correct explanation for Statement -1(2) Statement-1 is True, Statement-2 is True ; Statement-2 is NOTa correct explanation for Statement-1(3) Statement -1 is True, Statement -2 is False(4) Statement -1 is False, Statement -2 is True

oDrO;-1 :;fn izFke 100izkd`r la[;kvksa dk y-l-i- PgS] rc izFke 105izkd`r la[;kvksa dk y-l-i- 103 101 PgksxkAoDrO;-2 : 101rFkk 103 vHkkT; la[;k,a gSA

(1)oDrO;-1lR; gS] oDrO;-2lR; gS ;oDrO;-2,oDrO;-1dk lgh Li"Vhdj.k gSA(2)oDrO;-1lR; gS] oDrO;-2lR; gS ;oDrO;-2,oDrO;-1dk lgh Li"Vhdj.k ugha gSA(3)oDrO;-1lR; gS] oDrO;-2 vlR; gSA(4)oDrO;-1 vlR; gS] oDrO;-2lR; gSA


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88. STATEMENT- 1 : The quadratic equation with rational co-efficient having 2 2 as one of i ts root isx2+ 4 x + 2 = 0.STATEMENT- 2 :Irrational roots of a quadratic equation with rational co-efficient occur in conjuagatepairs.(1) Statement -1 is True, Statement -2 is True ; Statement -2 is a correct explanation for Statement -1(2) Statement-1 is True, Statement-2 is True ; Statement-2 is NOTa correct explanation for Statement-1(3) Statement -1 is True, Statement -2 is False(4) Statement -1 is False, Statement -2 is True

oDrO;-1 :,d ifjes; xq.kk adk s okyh f)?k kr lehdj.k ftldk ,d ewy 2 2 gS] x2+ 4 x + 2 = 0gSAoDrO;-2 :,d ifje s; xq.kk adk s okyh f)?kkr lehdj.k ds vifjes; ewy la;qXeh ;qXe cukrs gS aA(1)oDrO;-1lR; gS] oDrO;-2lR; gS ;oDrO;-2,oDrO;-1dk lgh Li"Vhdj.k gSA(2)oDrO;-1lR; gS] oDrO;-2lR; gS ;oDrO;-2,oDrO;-1dk lgh Li"Vhdj.k ugha gSA(3)oDrO;-1lR; gS] oDrO;-2 vlR; gSA(4)oDrO;-1 vlR; gS] oDrO;-2lR; gSA

89. STATEMENT- 1 : The area of the shaded region is 18 25.

STATEMENT- 2 :Area of circle of radius r isr2.(1) Statement -1 is True, Statement -2 is True ; Statement -2 is a correct explanation for Statement -1(2) Statement-1 is True, Statement-2 is True ; Statement-2 is NOTa correct explanation for Statement-1(3) Statement -1 is True, Statement -2 is False(4) Statement -1 is False, Statement -2 is True

oDrO;-1 : Nk;kfdr Hkkx dk {ks=kQy 18 25gS A

oDrO;-2 : o`k dk {ks=kQy r2gS ftldh f=kT;k rgSA(1)oDrO;-1lR; gS] oDrO;-2lR; gS ;oDrO;-2,oDrO;-1dk lgh Li"Vhdj.k gSA(2)oDrO;-1lR; gS] oDrO;-2lR; gS ;oDrO;-2,oDrO;-1dk lgh Li"Vhdj.k ugha gSA(3)oDrO;-1lR; gS] oDrO;-2 vlR; gSA(4)oDrO;-1 vlR; gS] oDrO;-2lR; gSA

90. 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, thenSTATEMENT- 1 :Area of triangle is 150 cm2

STATEMENT- 2 : Perimeter of triangle is 50 cm(1) Statement -1 is True, Statement -2 is True ; Statement -2 is a correct explanation for Statement -1(2) Statement-1 is True, Statement-2 is True ; Statement-2 is NOTa correct explanation for Statement-1(3) Statement -1 is True, Statement -2 is False

(4) Statement -1 is False, Statement -2 is True

,d ledks.k f=kHkqt dk d.kZ 25 cmgSA vU; nks Hkqtkvksa dh yEckbZ;ksa dk vUrj 5 cmgS] rcoDrO;-1 :f=kHkqt dk {ks=kQy150 cm2gSAoDrO;-2 :f=kHkqt dk ifjeki50 cmgSA(1)oDrO;-1lR; gS] oDrO;-2lR; gS ;oDrO;-2,oDrO;-1dk lgh Li"Vhdj.k gSA(2)oDrO;-1lR; gS] oDrO;-2lR; gS ;oDrO;-2,oDrO;-1dk lgh Li"Vhdj.k ugha gSA(3)oDrO;-1lR; gS] oDrO;-2 vlR; gSA(4)oDrO;-1vlR; gS] oDrO;-2lR; gSA


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ANSWER KEY SAMPLE TEST PAPER-I1. (3) 2. (2) 3. (2) 4. (2) 5. (2) 6. (2) 7. (2)

8. (3) 9. (3) 10. (2) 11. (3) 12. (1) 13. (2) 14. (2)

15. (1) 16. (1) 17. (1) 18. (3) 19. (1) 20. (1) 21. (2)

22. (2) 23. (2) 24. (4) 25. (3) 26. (2) 27. (3) 28. (4)

29. (3) 30. (2) 31. (1) 32. (3) 33. (1) 34. (4) 35. (2)36. (3) 37. (1) 38. (2) 39. (3) 40. (4) 41. (4) 42. (4)

43. (4) 44. (4) 45. (3) 46. (3) 47. (3) 48. (4) 49. (1)

50. (2) 51. (1) 52. (3) 53. (4) 54. (1) 55. (3) 56. (3)

57. (2) 58. (3) 59. (2) 60. (2) 61. (3) 62. (1) 63. (3)

64. (1) 65. (1) 66. (4) 67. (3) 68. (3) 69. (3) 70. (2)

71. (3) 72. (4) 73. (3) 74. (2) 75. (2) 76. (2) 77. (1)

78. (4) 79. (3) 80. (2) 81. (2) 82. (2) 83. (3) 84. (3)

85. (3) 86. (1) 87. (1) 88. (4) 89. (4) 90. (3)

HINTS & SOLUTION TO SAMPLE TEST PAPER-I

31. i2D1

D2= 5 cos37 i 5 sin37(j )D3= ?

D = 6 i

37

N

W E

S

D3= D D1 D2

= 6 i 2 i 5 54

i + 5 53

j .

= 3j .

32. =2

VV 21

=

2

)i37cos10j37sin10i37cos10( j3i8v

33. =4

105 =

4

15m/s.

34. At B and D magnitude of velocity are same but directions are different.

BrFkk Dij ifjek.k leku gS ijUrq fn'kk vyx&vyx gSA

35. v =dt

dx= 3t2 2t

v4= 3 42 2 4 = 40

v2= 2 22 2 2 = 4

=24

vv 24

=

24

440

= 18 m/s2.

36. v2= u2+ 2 as

v

2

= (5)

2

+ 2 10 10v2= 25 + 200 225v = 15 m/sec


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37. 22.36 km38. 60 km/hr39. Distance travelled by a freely falling body

y =2

1gt2 y t2.

40.2

1

E

E=

2m2

p

m2

p

21

2

=1

2

m

m=

1

4

2

1

m

m=

4

1.

41. 13 J

43. The lightening flash travels with speed of light which takes negligible time to reach the observe, whilesound has finite v elocity 330 m/s. It takes 5.5 seconds.Distance = velocity of sound time

= 330 5.5 = 1815 m44. F

b= v

ligg

'g' is different on moon and on the earth.Hence only (iii) is a correct statement.

45. When resultant force on particle zero then acceleration of particle is zero

d.k ij tc ifj.kkeh cy 'kwU; gS] rc d.k dk Roj.k 'kwU; gSA

46. t1

=g

a2t

2

=g

b2t1

: t2

= a : b

48. v = u + at 30 = 0 +m

F t 30 =

1

6 t t = 5 sec.

49. amF

50.

Case1: (fLFkfr1) If;fnF = 10.2 N

acceleration of systemfudk; dk Roj.k =321 mmm

F

=222

2.10

=

6

2.10

asystem

= 1.7 m/s

afudk;

= 1.7 m/s

FBD of C (C dk FBD)

T = mca = 2 1.7 = 3.4 N

51. F = ma = m tv

= 0.1

1.010 = 10 N


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52.

= 22 F9F12 = 2F2 = 21F .

53. P =f

1 f =

p

1=

5

1= 0.2 m = 20 cm

Image is real and inverted, so the lens should be convax.frfcEc okLrfod vkSj mYVk gS] vr% ySUl mky gksuk pkfg,A

u1

v1 = f1 301v1 = 201 v = 60 cm.

54. According to the fleming left hand rule.

flemingds ck,a gkFk ds fu;e ds vuqlkj

55. Concave lens will form smaller image w.r.t. objectSo, For magnification convex lens is used and the convex lens which have smaller focus length will producedlarge magnificationvory ySal oLrq dh rqyuk eas NksVk frfcEc cukrk gSA vr% vko/kZu ds fy, mky ySUl dk ;ksx fd;k tkrk gSA mky ySal

ftldh Qksdl nwjh de gksrh gS og mPp vko/kZu mRiUu djrk gSA

56. Equivalent circuitrqY; ifjiFk

321eq R

1

R

1

R

1

R

1 R

1

R

1

R

1

R

1

eq

Req= 3R

57. Equivalent resistance is one ohm.

R=?

6/11 R

As per question11

6+ R = 1 R = 1

11

6R =

11

611R =

11

5

58. AC is preferred because it is economical in transmission.

(izR;korhZ /kkjk dk lapj.k ferO;;h gS)

61. In this case w2= 2w1 1w

104men6

= 2

2

w

T6women10

1w

104men6 =

1

2

w2

T6men5 T

2= 16 days


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62. 3 9cm2

63. Father of Deepaks daughters father ? Deepaks father.Hence, the person in the brother of Deepaks father.Therefore, the person is the uncle of Deepak.

64. In right tangle triangle OABAB2+ BO2= OA2

x2+ x2= (1 x)2

2x2= x2+ 1 2xx2+ 2x 1 = 0

x =2

442 x = 1 2

taking positive sign x = 21

65. We have31

31

sincos

sincos

)sin(cos)sin(cos

)sin(cos)sin(cos

=)31()31(

)31()31(

[Applying componendo and dividendo]

sin2

cos2=

32

2 cot=

3

1 tan = 3 tan = tan60 = 60

66. Possible triangles are :1. ABJ, 2. BCD, 3. DEF, 4. FGH, 5. HIJ, 6. ADG, 7. AEH, 8. CGJ, 9. CFI, 10. EIB

CB

A

F EG

H

I J

D

67. Let the present age of the father is xthen age of the son is 45 xNow according to the question(45 x 5) (x 5) = 4(x 5) (40 x)(x 5) = 4 (x 5) (as x 5) x = 36

ekuk firk dh orZeku vk;q xo"kZ gSArks iq=k dh orZeku vk;q 45 xgksxhAiz'ukuqlkj (45 x 5) (x 5) = 4(x 5) (40 x)(x 5) = 4 (x 5) (pwafd x 5) x = 36

68. (55)3

+ (17)3

(72)3

(55)3+ (17)3+ ( 72)3

Letekuka = 55, b = 17, c = 72 a + b + c = 0

Thenrc, a3+ b3+ c3= 3abc(55)3+ (17)3 (72)3 = 3

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