LTSE 2023
Home LTSE 2023
Test Dates
Lead trust has finalized the exam dates for LTSE 2023. You can write one or both of the tests. Best score from the two will be used for your ranking. Students can also attempt the Mock test before the final exams.
Exam dates:
 Mock Test: 20th November (Sunday)
 Test 1: 2PM IST, 26th November 2022 (Saturday)
Exam Link: https://bit.ly/3tTvnAI
Mode of Exam: Online
Time: 02:00 – 04:30 PM IST  Test 2: 2PM IST, 4th December 2022 (Sunday)
Getting Ready for LTSE 2023
 Mode of Exam: Online
 The exam link will be available at www.leadtrust.in
 Login Credentials Required:
(i) Registered Email ID
(ii) Hall Ticket Number
*Be ready with the above credentials, a pen, and a few roughwork sheets before the exam begins.  Exam Dates:
Mock Test – 02:00 PM IST, 20th Nov 2022 (Sunday)
Final Test Option 1: 02:00 PM IST, 26th Nov 2022 (Saturday)
Final Test Option 2: 02:00 PM IST, 04th Dec 2022 (Sunday)
*It is not compulsory to write both the tests. If a student writes both papers, the best of 2 will be considered for final scoring  We encourage students to attempt our mock test to get a handful of experience with the type of questions and using the online platform.
 The exam can be attended from any Desktop/Laptop/Smartphone/Tablet.
 You must use Google Chrome Browser
Other browsers such as Mozilla Firefox, Safari, Edge, etc. are not supported.
Exam Instructions:
 Time Allotted: 2 Hrs 30 Min
 Make sure the Email ID and Hall Ticket Number entered are the same as given during the registration.
 This question paper consists of 5 sections, of which at least 4 must be attempted.
Section 1 (Mathematics): Students opting for Engineering
Section 2 (Biology): Students opting for Medicine
Section 3, 4 & 5 (Physics, Chemistry & LR): Compulsory for all the students
* If a student attempts all the 5 sections, he/she will be considered for both Engineering and Medicine streams. During the time of personal interviews, he/she will be able to choose which stream he/she wants to pursue.  Every Section has 20 Single Correct Multiple Choice Questions.
 MARKING SCHEME:
Correct Attempt: +1 Mark
UnAttempted : 0 Mark
Wrong Attempt: 0.25 Mark
*Every wrong attempt reduces 0.25 mark, we suggest students avoid any guesswork  You Must submit the responses before the timer ends. You will be unable to submit if the time of the exam is over.
Mode of exam
Online :
 It is not compulsory to write both the tests.
If a student attempts both the papers then the best of 2 will be considered as the final score.  We highly encourage students to write our mock exam for getting a handful of experience on the type of questions and using the online platform.
 Login details: Registered email ID and Hall ticket number.
 The exam can be attended from any Desktop/Laptop/Smartphone/Tablet.
 You must use Google chrome browser.
Other browsers like Mozilla Firefox, Safari, Edge, etc are not supported.
Streams
Medical
Engineering
LTSE 2023 Syllabus

Mathematics
Class IX
 Number System – rational number, irrational numbers, real numbers and their decimal expansions, representing real numbers on number line, operations on real numbers, laws of exponent for real numbers.
 Polynomials – polynomials in one variable, zeros of a polynomial, remainder theorem, factorization of polynomials, algebraic identities.
 Coordinate Geometry – Cartesian system, plotting a point in the plane if its coordinates are given.
 Linear Equation in Two Variables – linear equations, solution of a linear equation, graph of a linear equation in two variables, equation of lines parallel to xaxis and yaxis
 Introduction to Euclid’s Geometry – Euclid’s definitions, axioms and postulates, equivalent versions of Euclid’s fifth postulate
 Lines and Angles – basic terms and definitions, intersecting lines and nonintersecting lines, pairs of angles, parallel lines and a transversal, lines parallel to the same line, angle sum property of a triangle
 Triangles – congruence of triangles, criteria for congruence of triangles, some properties of a triangle, inequalities in a triangle
 Quadrilaterals – angle sum property of a quadrilateral, types of quadrilateral, properties of a parallelogram, condition for a quadrilateral to be a parallelogram, the midpoint theorem
 Areas of Parallelograms and Triangles – figures on the same base and between the same parallels, parallelograms on the same base and between the same parallels, triangles on the same base and between the same parallels
 Circles – circles and its related terms, angle subtended by a chord at a point, perpendicular from the centre to a chord, circle through three points, equal chords and their distances from the centre, angle subtended by an arc of a circle, cyclic quadrilaterals
 Heron’s Formula – area of a triangle by Heron’s formula, application of Heron’s formula in finding area of quadrilaterals
 Surface Areas and Volumes – surface area of a cuboid, cube, right circular cylinder, right circular cone and sphere, volume of a cuboid, cylinder, right circular cone and sphere
 Statistics – collection of data, presentation of data, graphical representation of data, measures of central tendency
 Probability – experimental approach to probability
Class X
 Real Numbers – Euclid’s division lemma, the fundamental theorem of arithmetic, revisiting irrational numbers, revisiting rational numbers and their decimal expansions
 Polynomials – Geometrical meaning of the zeroes of a polynomial, relationship between zeroes of a polynomial and coefficients of a polynomial, division algorithm for polynomials
 Pair of Linear Equations in Two Variables – graphical method of solution of a pair of linear equations, algebraic methods of solving a pair of linear equations, equations reducible to pair of linear equations in two variables
 Quadratic Equations – What are quadratic equations, Solution of a Quadratic Equation by Factorisation, Solution of a Quadratic Equation by Completing the Square, Nature of Roots
 Arithmetic Progression – What is Arithmetic progression, nth Term of an AP, Sum of First n Terms of an AP,
 Triangles – similar figures, similarity of triangles, criteria for similarity of triangles, areas of similar triangles, Pythagoras theorem
 Coordinate Geometry – distance formula, section formula, area of a triangle
 Introduction to Trigonometry – trigonometric ratios, trigonometric ratios of some specific angles, trigonometric identities trigonometric ratios of complementary angles
 Circles – tangent to a circle, number of tangents from a point on a circle
 Areas Related to Circles – perimeter and area of a circle, areas of sector and segment of a circle, areas of combinations of plane figures
 Surface Areas and Volumes – Surface Area of a Combination of Solids, Volume of a Combination of Solids, Conversion of Solid from One Shape to Another, Frustum of a Cone.
 Probability – Theoretical approach to probability including experiment outcomes, complementary and impossible events, Calculation of empirical probability.
Physics
Class X
 Light – Laws of reflection, multiple images, reflection at plane surfaces, reflection at spherical mirrors, mirror formula and magnification, refraction at plane surfaces, Snell’s law, refraction and image formation by spherical lenses, ray diagrams, lens formula and magnification, power of a lens
 The Human Eye and the Colourful World – Power of accommodation, Defects of vision and their correction, Refraction of light through a Prism, Dispersion of white light by a glass prism, Atmospheric Refraction, Scattering Of Light
 Electricity – Electric Current And Circuit, Electric Potential And Potential Difference, Circuit Diagram, Ohm’s Law, Factors On Which The Resistance Of A Conductor Depends, Resistance Of A System Of Resistors (Series And Parallel Resistors), Heating Effect Of Electric Current, Electric Power.
Class IX
 Motion – Distance and displacement, velocity; uniform and nonuniform motion along a straight line; acceleration, distancetime and velocitytime graphs for uniform motion and uniformly accelerated motion, derivation of equations of motion by graphical method; elementary idea of uniform circular motion.
 Force and Newton’s laws – Push or a pull, contact force, friction, rolling friction, sliding friction, static friction, fluid friction, noncontact force, electrostatic force, gravitational force, magnetic force, pressure, atmospheric pressure. force and motion, Newton’s laws of motion, action and reaction forces, inertia of a body, inertia and mass, momentum, force and acceleration. Elementary idea of conservation of momentum.
 Gravitation – Universal law of gravitation, force of gravitation of the earth (gravity), acceleration due to gravity; mass and weight; free fall.
 Floatation – Thrust and pressure. Archimedes’ principle; buoyancy; elementary idea of relative density.
 Work, energy and power – Work done by a force, energy, power; kinetic and potential energy; law of conservation of energy.
 Sound – Production of sound, oscillation, pitch, time period, amplitude, frequency, loudness, audible and inaudible sounds, medium of propagation nature of sound and its propagation in various media, speed of sound, range of hearing in humans; ultrasound; the reflection of sound; echo and sonar structure of the human ear (auditory aspect only)
Reference books: NCERT Class 9th and class 10th
Chemistry
All of the syllabus from class 9 is present. For class 10, only the syllabus mentioned below is what will be asked in the exam.
Class X
 Chemical reactions – Chemical equation, Balanced chemical equation, implications of a balanced chemical equation, types of chemical reactions: combination, decomposition, displacement, double displacement, precipitation, neutralization, oxidation and reduction.
 Acids, bases and salts – Their definitions in terms of furnishing of H+ and OH ions, General properties, examples and uses, concept of pH scale (Definition relating to logarithm not required), importance of pH in everyday life; preparation and uses of Sodium Hydroxide, Bleaching powder, Baking soda, Washing soda and Plaster of Paris.
 Metals and nonmetals – Properties of metals and nonmetals; Reactivity series; Formation and properties of ionic compounds.
 Carbon and its Compounds – Bonding In Carbon – The Covalent Bond, Versatile Nature Of Carbon, Saturated And Unsaturated Carbon Compounds, Chains, Branches And Rings, Homologous Series, Nomenclature Of Carbon Compounds, Chemical Properties Of Carbon Compounds (Including Combustion, Addition Reaction, Substitution Reaction, Some Important Carbon Compounds – Ethanol And Ethanoic Acid And Their Properties)
Reference books: NCERT Class 9th and class 10th
Biology
Class IX
 The Fundamental Unit of Life – What are living organisms made up of, structural organisation of a cell
 Tissues – plant tissues, animal tissues
 Diversity in Living Organisms – basis of classification, classification and evolution, plantae, animalia, nomenclature
 Why Do We Fall Ill – diseases and its causes, infectious diseases
 Natural Resources The Breath of Life: Air, Water: A Wonder Liquid, Mineral Riches in the Soil, Biogeochemical Cycles, Ozone Layer
 Improvement in Food Resources – improvement in crop yields, animal husbandry
Class X
 Life Processes – What are life processes, nutrition, respiration, transportation, excretion
 Control and Coordination – Animals – Nervous System, Reflex Actions, Human Brain, Nervous Tissues (Protection And Action), Coordination In Plants, Immediate Response To Stimulus, Movement Due To Growth, Hormones In Animals.
 How do organisms reproduce – Do Organisms Create Exact Copies Of Themselves?, The Importance Of Variation, Modes Of Reproduction Used By Single Organisms, Fission, Fragmentation, Regeneration, Budding, Vegetative Propagation, Spore Formation, Sexual Reproduction In Flowering Plants And Human Beings.
Logical Reasoning
Questions will be based on simple Aptitude, Analytical Skills and Logical puzzles, such as those based on Timer, Compass, Relationships, Set Theory, Alphabet and Number Test, Ranking, Arrangements, Missing Characters/images, etc
Here’re some good resources for preparation:
Previous year’s LTSE papers: https://leadtrust.in/download