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Corporate Office : CG Tower, A-46 & 52, IPIA, Near City
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U80302RJ2007PTC024029 PAGE # 1
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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Corporate Office : CG Tower, A-46 & 52, IPIA, Near City
Mall, Jhalawar Road, Kota (Raj.)-324005
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[email protected]
Toll Free : 1800 200 2244 | 1800 258 5555| CIN:
U80302RJ2007PTC024029 PAGE # 2
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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U80302RJ2007PTC024029 PAGE # 3
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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Corporate Office : CG Tower, A-46 & 52, IPIA, Near City
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U80302RJ2007PTC024029 PAGE # 4
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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U80302RJ2007PTC024029 PAGE # 6
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
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 0
25 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
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
60tan445cos30sin5 222
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
60tan445cos30sin5 222
=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).
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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
1 to 15 32 to 43 54 to 65Only one correct
(dsoy ,d fodYi lgh)3 -1 0
16 to 21 44 to 47 66 to 67One or more than one correct
Answer
(,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
Marks to be awardedPart - I(Mathematics)
Part - II(Physics)
Part - III(Chemistry) Type
PART - I (Hkkx - I)
SECTION - I ([k.M- I)Straight Objective Type (lh/ks oLrqfu"B
izdkj )
This section contains 15 questions. Ea