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Gujarat Common Entrance Test (GUJCET)

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GUJCET : Gujarat Common Entrance Test

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Gujarat Common Entrance Test (CET) Engineering Examination
Gujarat Common entrance Test (CET) is conducted by The Education Department, Govt of Gujarat and it has assigned The Gujarat Secondary and Higher Secondary Education to hold CET for admission into various medical, engineering and pharmacy courses in the state of Gujarat. The information booklet and the application form prepared by the Board is available on the payment of Rs. 250/-via Demand Draft from any nationalized bank payable at Gandhinagar/Ahmedabad in favour of "Secretary, Gujarat Common Entrance Test (CET) Cell, Gandhinagar"

Exam Pattern

Admission to courses will be based on 40% weightage of GUJCET score and 60% weightage of 12th Marks. For admission to MBBS, 70% marks in 12th are also required. Please note that marks of either PCM (without practicals) or PCB (without practicals) are considered so effective weightage is somewhere between 21-28% for GUJCET Exam. 

(Syllabus) WBJEE: JEM 2010 Mathematics

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WEST BENGAL JOINT ENTRANCE EXAMINATIONS BOARD
SYLLABUS FOR JEM

MATHEMATICS

Algebra

A.P., G.P., H.P. :Definitions of A. P. and G.P.; General term; Summation of first n-terms; A.M.and G.M.; Definitions of H.P. (only 3 terms) and H.M.; Finite arithmetico-geometric series. Logarithms :Definition; General properties; Change of base.

Complex Numbers: Definition and properties of complex numbers; Complex conjugate; Triangle inequality; Square root of complex numbers; Cube roots of unity; D’Moivre’s theorem (statement only) and its elementary applications.

Quadratic Equations : Quadratic equations with real coefficients; Relations between roots and coefficients; Nature of roots; Formation of a quadratic equation, sign and magnitude of the quadratic expression ax2+bx+c (a,b,c are rational numbers and a≠0).

Permutation and combination : Permutation of n different things taken r at a time (r ≤ n). Permutation of n things not all different. Permutation with repetitions (circular permutation excluded).

Combinations of n different things taken r at a time (r ≤ n). Combination of n things not all different. Basic properties.

(Syllabus) EAMCET : Agriculture & Medicine (AM) Syllabus

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EAMCET : Agriculture & Medicine (AM) Syllabus

Subject : BOTANY

I. INTRODUCTION: Origin, development and scope of Botany - Classification of plant kingdom - Branches of Botany: Morphology, Cytology, Embryology, Palynology, Taxonomy, Physiology, Ecology, Palaeobotany, Genetics, Phytogeography, Phycology, Mycology,Lichenology, Bryology, Pteriodology, Microbiology, Bacteriology, Virology - Parts of angiospermic plant

II. EXTERNAL MORPHOLOGY: (a)Vegetative morphology: Root: Root system; Types, Functions, Modification of roots (Velamen roots, Photosynthetic roots, Respiratory roots, Parasitic roots, Storage roots and nodular roots) - Stem: characteristics and functions of the stem; Modifications of stem: Aerial: Tendril, Thorn, Hook, Phylloclade, Restiratory roots, Tuberous stem and Bulbil; Sub-aerial: Runner, Stolon, Sucker & Offset, Underground: Rhizome, Corm, Stem tuber & Bulb - Leaf: Parts of Leaf, Types, Functions and Parts of leaves, Venation, Phyllotaxy, Leaf modifications: - tendrils, spines, scale leaves, phyllode,reproductive & trap leaves. (b)Reproductive morphology:Inflorescence: Introduction, Types of Inflorescence - Racemose, Cymose and Special Types Flower: Parts of a typical flower: Structure, Sex distribution and symmetry of flower, position of gynoecium. Detailed description of flower: Prianth, Calyx, Corolla, aestivation, Androecium – Parts, fixation and dehiscence of anther, length of stamens, union of stamens, Gynoecium – number of carpels, fusion of carples, ovary – number of locules , placentation, types of styles, Stigma

III. REPRODUCTION IN ANGIOSPERMS: Introduction – Sporophytic and Gametophytic stages - Structure of an Anther; Microsporogenesis, Structure of a pollen grain and development of male gametophyte Ovule – Structure and Types; megasporogenesis - development and structure of embryosac - Pollination: Types of pollination, self and cross-pollination, contrivances for cross pollination and self pollination, agents of cross pollination. Fertilization – Process, Post - fertilization changes; Seed structure (Dicot & Monocot), and seed germination (epigeal, hypogeal & vivipary) - Fruits: Classification; False fruits and true fruits - Simple fruits (fleshy fruits – berry, pome, pepo, hesperidium, drupe; Dry fruits – dehiscent- legume, septicidal capsule, septifragal capsule, loculicidal capsule; Indehiscent fruits – caryopsis, cypsela, nut; schizocarpic – lomentum, schizocarp); Aggregate and Multiple fruits

IV. PLANT TAXONOMY: Introduction – Alpha and Omega taxonomy; Aspects of taxonomy – Identification – Flora, herbaria, botanical gardens (RBG – Kew, IBG – Kolkata, NBG – Lucknow); Nomenclature, Classification – Types, Units and a brief account of Bentham & Hooker’s system. Study of the following families - Malvaceae - Fabaceae - Solanaceae - Liliaceae.

V. CELL BIOLOGY: Introduction, Techniques of Cell Biology – microscopy (light, electron, fluorescent, phase contrast, SEM, TEM – only uses), Separation techniques - Ultrastructure of plant cell (Eukaryotic cell - Structure of cell wall and cell membrane, Protoplasm, cytoplasm, Plastids, mitochondria, endoplasmic reticulum, ribosomes, golgi complex, lysosomes, peroxisomes and glyoxysomes, vacuoles and Nucleus). – Chromosomes - Introduction, structure (light microscopic study), classification, functions and nucleosome model) - Nucleic acids - Cell Division : Cell Cycle, Mitosis and Meiosis

VI. INTERNAL ORGANIZATION OF PLANTS: Tissues – Types (Meristematic and Permanent ) and functions - Internal structure of Dicot root (Primary) and Monocot root - Internal structure of Dicot stem (Primary) and Monocot stem - Internal structure of leaf (Dicot and Monocot) - Secondary growth in dicot stem.

(Syllabus) EAMCET Engineering Syllabus

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EAMCET Engineering Syllabus

Subject : MATHEMATICS

I. ALGEBRA: (a) Functions – Types of functions – Algebra of real valued functions (b) Mathematical induction and applications (c) Permutations and Combinations – linear and circular permutations – combinations.(d) Binomial theorem – for a positive integral index – for any rational index – applications – Binomial Coefficients.(e) Partial fractions (f) Exponential and logarithmic series (g) Quadratic expressions, equations and inequations in one variable.(h) Theory of equations – Relations between the roots and Coefficients in any equation – Transformation of equations – reciprocal equations.(i) Matrices and determinants – Types of matrices – Algebra of matrices – Properties of determinants – simultaneous linear equations in two and three variables – Consistency and inconsistency of simultaneous equations.(j) Complex numbers and their properties – De Moivre’s theorem – Applications – expansions of trigonometric functions.

II. TRIGONOMETRY: (a) Trigonometric functions – Graphs – periodicity (b) Trigonometric ratios of compound angles, multiple and sub-multiple angles.(c) Transformations (d) Trigonometric equations (e) Inverse trigonometric functions (f) Hyperbolic and inverse hyperbolic functions (g) Properties of Triangles (h) Heights and distances (in twodimensional plane)

III. VECTOR ALGEBRA: (a) Algebra of vectors – angle between two non-zero vectors – linear combination of vectors – vector equation of line and plane (b) Scalar and vector product of two vectors and their applications (c) Scalar and vector triple products – Scalar and vector products of four vectors

(Syllabus) GATE 2011 : Examination Syllabus : (Mathematics)

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GATE 2011 : Examination Syllabus

:: MA-Mathematics ::

Linear Algebra: Finite dimensional vector spaces; Linear

(Answer Keys) Karnataka Common Entrance Test (KCET) | Result and Answer Keys of Exam 2010

Karnataka Common Entrance Test (KCET) | Result and Answer Keys of Exam 2010

Karnataka Examination Authority
Common Entrance Test
Karnataka

Karnataka Common Entrance Test Result 2010 has been announced by Karnataka Examination authority. Answer keys are also published by Karnataka examination authority. There are four subject in Karnataka CET entrance exam - Physics, Chemistry, Biology and Mathematics

Result: Click on the following link to check the result

Karnataka CET 2010 Result

Answer Keys: Click on the following buttons to see the answer keys of entrance exam 2010

(Syllabus) Vellore Institute of Technology Engineering Entrance Examination (VITEEE) Mathematics Syllabus

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Vellore Institute of Technology Engineering Entrance Examination (VITEEE)

MATHEMATICS SYLLABUS

MATRICES AND DETERMINANTS:
Types of matrices, addition and multiplication of matrices-Properties, computation of inverses, solution of system of linear equations by matrix inversion method. Rank of a Matrix – Elementary transformation on a matrix, consistency of a system of linear equations, Cramer’s rule, Non-homogeneous equations, homogeneous linear system, rank method.

THEORY OF EQUATIONS, SEQUENCE AND SERIES
Quadratic equations – Relation between roots and coefficients – Nature of roots – Symmetric functions of roots – Diminishing and Increasing of roots – Reciprocal equations. Arithmetic, Geometric and Harmonic Progressions-Relation between A.M., G. M ., and H.M. Special series: Binomial, Exponential and Logarithmic series – Summation of Series.
VECTOR ALGEBRA
Scalar Product – Angle between two vectors, properties of scalar product, applications of dot products. Vector Product – Right handed and left handed systems, properties of vector product, applications of cross product. Product of three vectors – Scalar triple product, properties of scalar triple product, vector triple product, vector product of four vectors, scalar product of four vectors. Lines – Equation of a straight line passing through a given point and parallel to a given vector, passing through two given points, angle between two lines. Skew lines – Shortest distance between two lines, condition for
two lines to intersect, point of intersection, collinearity of three points. Planes – Equation of a plane, passing through a given point and perpendicular to a vector, given the distance from the origin and unit normal, passing through a given point and parallel to two given vectors, passing through two given points and parallel to a given vector, passing through three given non-collinear points, passing through the line of intersection of two given planes, the distance between a point and a plane, the plane which contains two given lines, angle between two given planes, angle between a line and a plane. Sphere – Equation of the sphere whose centre and radius are given, equation of a sphere when the extremities of the diameter are given.

COMPLEX NUMBERS & TRIGONOMETRY:
Complex number system, conjugate – properties, ordered pair representation. Modulus – properties, geometrical representation meaning, polar form principal value, conjugate, sum, difference, product quotient, vector interpretation, solutions of polynomial equations, De Moivre’s theorem and its applications. Roots of a complex number – nth roots, cube roots, fourth roots. Angle measures-
Circular function-Trigonometrical ratios of related angles – Addition formula and their applications – Trigonometric equations – Inverse trigonometric functions-Properties and solutions

(Paper) ISAT Mathematics Sample Questions 2010

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ISAT Mathematics Sample Questions 2010

Question 1 : What is the value of x in the triangle shown?
A. 54
B. 59
C. 49
D. 24

Question 2: Last year there were 80 students enrolled in the eighth-grade class. This year the number of students enrolled in the eighth-grade class increased by 10%. How many students are enrolled in the eighth-grade class this year?
A. 88
B. 8
C. 90
D. 81

Question 3 : A company packs its coffee into cylindrical containers. The height of each container is 6 inches, and the radius of the container is 3 inches.
Which is closest to the volume of one of these cylindrical containers?
A. 36 cubic inches
B. 113 cubic inches
C. 54 cubic inches
D. 170 cubic inches

Question 4 : The student council is making snack bags for a class trip. Each snack bag will contain:
• 1 type of drink
• 1 type of cookie
• 1 type of fruit
To make each snack bag, they will choose from 2 types of drinks, 4 types of cookies, and 2 types of fruit.  How many combinations of 1 type of drink, 1 type of cookie, and 1 type of fruit are possible?
A. 48
B. 8
C. 3
D. 16

Question 5 : Which is closest to the circumference of this circle?
A. 14 inches
B. 63 inches
C. 20 inches
D. 28 inches

Question 7 : Which of the following is equivalent to the expression shown?
4x – 5 – 2x – 3
A. 6x + 2
B. 2x + 2
C. 6x – 8
D. 2x – 8

Question 8 : Between which two consecutive integers is ?
A. 6 and 7
B. 100 and 101
C. 75 and 76
D. 17 and 18

Question 10 : Amy has of a yard of string to make bracelets. Each bracelet requires of a yard of string. What is the greatest number of bracelets Amy can make with this length of string?
A. 3
B. 6
C. 4
D. 8

Question 11 : Look at the addition patterns below.
1 + 3 = 4
1 + 3 + 5 = 9
1 + 3 + 5 + 7 = 16
1 + 3 + 5 + 7 + 9 = 25
How many consecutive odd integers starting with 1 must be added to produce 64?
A. 8
B. 6
C. 7
D. 9

Question 12 : Which point on the number line below represents the value ?
A. Point Q
B. Point S
C. Point P
D. Point R

Question 14 : Paula multiplied a number by 16. Her result is a positive number less than 16. Which of these did Paula multiply by 16?
A. A number greater than one
B. A number less than zero
C. A number between zero and one
D. Zero

Question 15 :

IIT JEE: Try these FREE mock test

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With just a few more days to go for the joint entrance exams for India's premier Institutes of Technology, popularly known as IIT JEE, students are in for the final push. Here rediff.com in collaboration with TCYonline present mock papers for mathematics, physics and chemistry for JEE students to improve their speed and sharpen their skills.

Just click on the links below, take a print-out and get cracking!

(Download) Karnataka Common Entrance Test (KCET) Previous Papers & Answer Keys (2009)

Karnataka Common Entrance Test (KCET) Previous Papers & Answer Keys (2009)

Download KCET Solved Papers

Papers : Chemistry, Mathematics, Biology & Answer Keys of Year 2009

(Download) Karnataka Common Entrance Test (KCET) Previous Papers & Answer Keys (2008)

Karnataka Common Entrance Test (KCET) Previous Papers & Answer Keys (2008)

Download KCET Solved Papers

Papers : Physics, Chemistry, Mathematics, Biology & Answer Keys of Year 2008

(Download) Karnataka Common Entrance Test (KCET) Previous Papers & Answer Keys (2007)

Karnataka Common Entrance Test (KCET) Previous Papers & Answer Keys (2007)

Download KCET Solved Papers

Papers : Physics, Chemistry, Mathematics, Biology & Answer Keys of Year 2007

(Download) Karnataka Common Entrance Test (KCET) Previous Papers & Answer Keys (2006)

Karnataka Common Entrance Test (KCET) Previous Papers & Answer Keys (2006)

Download KCET Solved Papers

Papers : Physics, Chemistry, Mathematics, Biology & Answer Keys of Year 2006

(Download) Karnataka Common Entrance Test (KCET) Previous Papers & Answer Keys (2005)

Karnataka Common Entrance Test (KCET) Previous Papers & Answer Keys (2005)

Download KCET Solved Papers

Papers : Physics, Chemistry, Mathematics, Biology & Answer Keys of Year 2005

(Download) Karnataka Common Entrance Test (KCET) Previous Papers & Answer Keys (2004)

Karnataka Common Entrance Test (KCET) Previous Papers & Answer Keys (2004)

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Papers : Physics, Chemistry, Mathematics, Biology & Answer Keys of Year 2004

(Download) BITSAT 2009 Exam Paper (Math, Physics, Chemistry English And Logical Reasoning)

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Download BITSAT 2009 Exam Paper (Math, Physics, Chemistry English And Logical Resoning)

Q1. A boat takes time t to go downstream from point A to point B and time 2t to go upstream from point B to point A . If the speed of the stream is v and the speed of the boat with respect to the stream is u , then which of the following gives the correct relationship between u & v ?
a) u = v
b) u = 3v
c) v = 2u
d) v=3u

Q2. Which of the following is correct about the acceleration of a particle describing a uniform circular motion ?
a) The acceleration is constant both in magnitude and direction
b) The acceleration is constant in direction but not in magnitude
c) The acceleration is constant in magnitude but not in direction
d) The acceleration is neither constant in magnitude nor in direction

Q3. Five identical resistors of resistance 1 each, are connected along the four edges and one of the diagonals of a square. A potential difference of 1 V is applied across the other diagonal. What will be the current in the resistor along the diagonal ?
a) 0.5A
b) 1 A
c) 5A
d) zero ... [..]

(Tips) IIT JEE 2010 Study Plan | Physics, Chemistry, Maths

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IIT JEE 2010 Study Plan | Physics

IIT JEE 2010 entrance exam is to be held on coming days. So it is necessary to make the schedule of study for different subjects which will help you to prepare in suitable discipline.

Study Plan for Photoelectric Effect and Wave- particle Duality

Sections of the chapter
42.1 Photon theory of light
42.2 Photoelectric effect
42.3 Matter waves

Day 1

  • 42.1 Photon theory of light
  • 42.2 Photoelectric effect
  • 42.3 Matter waves

Day 2

  • Worked out examples 1 to 10

Day 3

  • WOE 11 to 13
  • Exercises 1 to 5

Day 4

  • Exercises 6 to 15

Day 5

  • Exercises 16 to 25

Day 6

  • Exercises 26 to 35

Day 7

  • Objective I and II, Questions for short answer

Day 8

  • Concept review and Formula review

Study Plan for Bohr's Model and Physics of Atom

Day 1

  • 43.1 Early atomic models
  • 43.2 Hydrogen spectra
  • 43.3 Difficulties with Rutherford Model
  • 43.4 Bohr's model

Day 2

  • Worked out examples 1 to 5
  • Exercises 1 to 5

Day 3

  • 43.5 Limitations of Bohr's model
  • 43.6 The wave function of an electron
  • 43.7 Quantum mechanics of the hydrogen atom

Day 4

  • WOE 6 to 10
  • Exercises 6 to 10

Day 5

  • 43.8 Nomenclature in atomic physics
  • 43.9 Laser
  • WOE 11 to 15

(Syllabus) BITSAT 2010 Syllabus | Mathematics

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BITSAT 2010 Syllabus | Mathematics

BITSAT 2010 Syllabus:
The BITSAT-2010 test will be conducted on the basis of NCERT syllabus for 11th and 12th class. The detailed syllabus is given in the Annexure. Candidates may refer to the NCERT text books for the contents. A sample test will be made available to the registered candidates at the BITS website on which he/she can practice as many times as desired.

BITSAT Online Test Syllabus

BITSAT 2010 Mathematics Syllabus

1. Algebra

  1. Complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, roots of complex numbers, geometric interpretations.
  2. Theory of Quadratic equations, quadratic equations in real and complex number system and their solutions, relation between roots and coefficients, nature of roots, equations reducible to quadratic equations.
  3. Logarithms and their properties.
  4. Arithmetic, geometric and harmonic progressions, arithmetic, geometric and harmonic means, arithmetico-geometric series, sums of finite arithmetic and geometric progressions, infinite geometric series, sums of squares and cubes of the first n natural numbers.
  5. Exponential series.
  6. Permutations and combinations, Permutations as an arrangement and combination as selection, simple applications.
  7. Binomial theorem for a positive integral index, properties of binomial coefficients.
  8. Matrices and determinants of order two or three, properties and evaluation of determinants, addition and multiplication of matrices, adjoint and inverse of matrices, Solutions of simultaneous linear equations in two or three variables.
  9. Sets, Relations and Functions, algebra of sets applications, equivalence relations, mappings, one-one, into and onto mappings, composition of mappings.
  10. Mathematical Induction
  11. Linear Inequalities, solution of linear inequalities in one and two variables.

2. Trigonometry

  1. Trigonometric ratios, functions and identities.
  2. Solution of trigonometric equations.
  3. Properties of triangles and solutions of triangles
  4. Inverse trigonometric functions
  5. Heights and distances

3. Two-dimensional Coordinate Geometry

  1. Cartesian coordinates, distance between two points, section formulae, shift of origin.
  2. Straight lines and pair of straight lines: Equation of straight lines in various forms, angle between two lines, distance of a point from a line, lines through the point of intersection of two given lines, equation of the bisector of the angle between two lines, concurrent lines.
  3. Circles and family of circles : Equation of circle in various form, equation of tangent, normal & chords, parametric equations of a circle , intersection of a circle with a straight line or a circle, equation of circle through point of intersection of two circles, conditions for two intersecting circles to be orthogonal.
  4. Conic sections: parabola, ellipse and hyperbola their eccentricity, directrices & foci, parametric forms, equations of tangent & normal, conditions for y=mx+c to be a tangent and point of tangency.

4. Three dimensional Coordinate Geometry

  1. Direction cosines and direction ratios, equation of a straight line in space and skew lines.
  2. Angle between two lines whose direction ratios are given
  3. Equation of a plane, distance of a point from a plane, condition for coplanarity of three lines.

(Download) Graduate Record Examination (GRE) | Study Material and Sample Papers for Preparation

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Graduate Record Examination | Study Material and Sample Papers for Preparetion

Description : Following are some study material and sample papers for the preparation of Graduate record examination. Each practice book contains full length test, answer keys, test taking strategies.

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