GTSE - Genius Classes€¦ · GTSE (Genius Talent Search Exam) GTSE (Genius Talent Search Exam) is a yearly competitive exam designed for School students (students in Class VII, VIII,

GTSE (Genius Talent Search Exam)

GTSE (Genius Talent Search Exam) is a yearly competitive exam designed for School

students (students in Class VII, VIII, IX and X) by Acroatic Edu-Solutions P. Ltd. (AESPL). This

exam aims at cultivating scientific and mathematical reasoning and logical ability among the

students through a rigorous test. The Foundation primarily envisions the scientific curiosity

and vigour in young students through competitive exams.

Objective of GTSE is to track the talented group of students from economically

impoverished sections and hone their skills by providing a conducive environment. Talent

knows no boundaries. It is everywhere. All one needs is to support talent and nurture it to

let it blossom. The students should not be handicapped by financial constraints of their

families. If they have it in them, GTSE is there to guide them to where they belong but may

not reach for want of resources. If talented students are spotted at the school-level, it can

work wonders.

To achieve this goal, we are running two schemes for students who achieve the success

in this exam. First one is YTPP (Young Talent Promotional Program), and second one is ETPP

(Economically Weak Talent Promotional Program).

1. YTPP (Young Talent Promotional Program): Awards, Scholarships and Cash prizes to

the students for their excellence and guides them towards the best career choices,

while in school as well as beyond.

2. ETPP (Economically Weak Talent Promotional Program): Supports economically weak

but talented students by providing free coaching and books for IIT / AIIMS / NEET /

KVPY / Olympiad / NTSE.

Acroatic Edu-Solutions (P.) Ltd (AESPL) started in the

year 2017 by Technocrats under the guidance of

Preeti Rani (B. TECH, IIT-Roorkee) with an aim to

make teaching-learning easier and more convenient

with the help of technological integration into educational spaces like schools, coaching and

training centres. Our Education platform is one of the Best in the industry, which helps our

students learn better through continuous feedback and assessment system and enables our

teachers deliver more effectively and consistently.

Who are we?

Board of Directors

We aspire to make students excel in terms of thought, ideology and

performance. To achieve this, I and my team, work with commitment and

dedication. With such an endeavor, we are sure of achieving the pinnacle

for success.

~Shri. N. K. P. SAH (NANDU BABU) (Managing Director) Educationist & Founder of G.D. Mother International School, Muzaffarpur/ Ex. Secretary, R.B.T.S. Govt. Homeopathic Medical Collage & Hospital.

I would like to communicate my appreciation for the belief the parents

as well as students have shown in Genius Classes (A strategic unit of

AESPL). Your faith in us has made Genius Classes the fastest growing

and trusted institute of North Bihar for IIT-JEE / AIIMS / NEET

preparation. To all those young minds who have a desire to succeed in

some of the toughest Entrance Exams of the Country, and are willing to

work hard with us, we leave no stone unturned.

~ PREETI RANI B.TECH, IIT Roorkee (Director Academic)

Our aim - providing the best edge to our associates - will continue to be

the hallmark. I can assure you that our association will be one of the

most cherished decisions of your life. AESPL and its programmes are

such tools where you will be challenged to achieve your potential, find

support as you shape your future, and open doors to IITs, Eng., Medical

and other successful professions.

~ BHARTENDU KUMAR 9+ Years of Corporate Experience

& Director of AESPL

Our Vision We go beyond the conventional standards to create a Brand which is more than a

conventional education company or a coaching centre. We believe in new concepts, ideas

and creativity to give the best services to education and coaching industry.

Beginning a new era in the educational arena of North Bihar

We have built the No. 1 coaching brand in North Bihar

Mission: Genius Classes has created the vision to cultivate the young minds through rigorous training and complete devotion

by Teachers at Genius Classes.

Genius Classes has proved that a teacher is a person who devotes his/her life to establish their pupils on the right

track. We deliver one to one interaction with self-disciplined methods to improvise their thoughts to converge their

potential energy at one point. We have become the point for the conversion of childhood into techno-tics

consolidating their adolescence.

Policies: 1. To provide stress-free education to students.

2. Individual attention to each student. We give extra classes, backlog classes whenever required.

3. We maintain bench marks of real exams of National Level.

4. Regular counselling sessions, motivation through easy testing.

5. Empower students with better conceptual learning & clear understanding.

Teaching Methodology

CONCEPT CENTRIC TEACHING (CCT): Genius Classes emphasizes on understanding the concepts thoroughly before

attempting to solve problems. The students are first introduced to the concept in depth, followed by doubt clearing

sessions, and conclude with solving a range of problems relating to the concepts. Home assignment for practice and

tests to verify conceptual understand are also given. The idea is to acquaint the students with the concepts so they

are in a position to attempt unfamiliar questions as well.

TESTING: Performance of the students is regularly monitored through weekly Review tests, Monthly reports and

meetings with parents. Comparative reports are published every month which provide revised benchmark for the

students.

CONCEPT BUILDING: For Class IX to X students, Batch wise classes having limited students are held in evening

sessions in air-conditioned spacious class rooms equipped with high quality Audio Video devices.

REVISION CLASSES: Revision classes of selected topics are arranged regularly for the benefit of students so that

students can overcome their weaknesses as well as review the topic.

EFFECTIVE STUDY MATERIAL: We have designed the study material in a unique way which resurrect your

confidence, shape your ideas, strengthen your foundation and lead you in to the top gear for competitive & entrance

exam preparation. The study material contains a systematic coverage of relevant theory notes on each chapter of

the syllabus of respective examination. It is prepared by a team of highly experienced academicians. The material is

self-sufficient in every respect and gives you the route towards success. We regularly update the study material

incorporating every minute point that is necessary for the student to master. There is no compromise at any cost

with quality of our material.

Subject and Topic wise Booklets: Topic wise multi-exercise booklets have been designed according to the syllabus of

NCERT and contain different types of conceptual, tricky and brain storming questions. They include questions from

competitive exam of previous years to build strength over fundamentals asked in competitive exams. The booklets

cover all the possible dimensions of the problems which may be asked in forthcoming exams.

DPP-Daily Practice Papers: For every topic taught and to take a review of previous topics, an enhanced and

structured set of problems of previous topics of the subject is given to students for dynamic revision. It ensures that

students remain in touch with all the topics covered till date.

RESULT ORIENTED TEST SERIES: This test series is an ideal tool to shape your preparation towards success. It not

only gives you practice but also helps you develop the right temperament for the various competitive examinations.

These tests will enable you to know the areas that need greater concentration and will guide you against the actual

mistakes committed by you in the examinations. Detailed performance evaluation, analysis and feedback help in

monitoring and improving performance. It is designed on the result-oriented concept that will help you master any

competitive exam.

EXPERTISED COACHING: We adopt an outcome-based approach and empower our students efficiently. The primary

goal is to provide individual flexible personalized solutions which help students learn efficiently and gives them an

extra edge in highly competitive scenario. We offer an unmatched depth of knowledge and experience to deliver

successful and expedient preparation to the most challenging competitive exams. We provide a perfect mix of

various resources and human skills to produce outstanding results. We equip students with the knowledge and skills

to reach their goals.

COUNSELING SESSIONS: For success in any competitive examination, there are many other things beyond subject

knowledge which play a vital role. The counselling sessions are organized with the sole objective of preparing our

students completely so that they can face challenges of competition with full confidence and competence. During

counselling sessions, our faculty tackles all the problems of the students building up their minds for examination.

They are instrumental in giving moral support.

PERSONALIZED ATTENTION: Our aim is to bring out the best in you. Our faculty members, dedicated to each

student, tap into your potential and hone your skills so that you can better your best. In our institute there is no

place for discrimination and we treat all students equally. The best faculty takes care of each of the batches

irrespective of student's past/current performance to explore their full potential.

COMPETITIVE ENVIRONMENT: We believe that a healthy competition helps a child grow. In this respect we provide

intellectually pleasant and highly competitive environment which ensures perfect development of the students. We

prepare you to realize your dreams so that you can achieve your goals and make a difference to your career. This

competitive environment helps you develop your problems solving skills and enhance your scoring ability.

MOTIVATIONAL AWARDS: To boost the confidence of students, we give awards and medals to students on the basis

of their performance in the scheduled test series conducted by us. It's just an attempt to encourage the students to

realize their hidden potential.

Our Team

• A team with a commitment to promote Excellence and Perfection in teaching and enhance the success of

every aspirant, who wants to achieve their goal.

• We at Genius Classes believe that mind is a fire to be kindled, not a vessel to be filled and our motive here is

to equip students how to think rather than what to think. To make this belief a reality, each faculty has been

meticulously chosen. Our strength lies with these faculty members who are experts in their field and

considered to be a benchmark in the industry.

Genius Talent Search Exam (GTSE) (For students studying in Class VII, VIII, IX and X)

Program layout

• Benefit and Objective of the GTSE

o Qualified students can avail attractive benefits under the following programs

▪ YTPP (Young Talent Promotional Program): applicable for all classes

• Cash prizes

• Awards and achievement certificates

• Scholarships upto 100%

• Career guidance to select the best option while in school as well as beyond.

▪ ETPP (Economically Weak Talent Promotional Program): applicable for Class 10 only

• Under this program, institute will provide free coaching and study materials to

Economically weak but talented aspirants.

• How to enroll:

o Applicants can apply for GTSE by filling the “GTSE Application Form”.

o Collect the “GTSE Application Form” from authorized coordinators, front desk of Genius Classes

study centers or apply online by visiting www.geniusclass.in.

o Make the Payment of Rs. 150 (online or offline)

o Enrollment Done

• Exam Details:

o Eligibility: Students studying in Class VII, VIII, IX and X

o Exam will be conducted in 3 phases:

▪ 1st Phase (Written Exam)

• Date: 04-November 2018

▪ 2nd Phase, (Written Exam)

• Date: 02-December 2018

▪ 3rd Phase, (Oral Exam)

• Date: 23-December 2018

o Timing and duration of the exam:

Class Exam Duration

VII appearing 2:00 hours

VIII appearing 2:00 hours

IX appearing 2:30 hours

X appearing 3:00 hours

• 10:00AM to 01:00PM (Morning Shift)

• 02:00PM to 05:00PM (Evening Shift)

o Mode and type of Exam:

▪ Offline (OMR Based)

▪ Paper Medium: English / Hindi

▪ For Sample Papers Please visit our website www.geniusclass.in.

o Registration Fee

▪ One Time Rs. 150/- Per Student

http://www.geniusclass.in/


GTSE Cash Awards **

Class 1st Prize 2nd Prize 3rd Prize 4th Prize 5th Prize Class 10th Gold Medal,

Certificate & Rs. 21000 Cash

Silver Medal, Certificate &

Rs. 15000 Cash

Bronze Medal, Certificate & Rs.

10000 Cash

Certificate & 5000 Cash


Class 9th Gold Medal, Certificate &

Rs. 11000 Cash


Rs. 5000 Cash


3000 Cash




Rs. 7000 Cash


Rs. 4000 Cash


2500 Cash




Rs. 5000 Cash


Rs. 3000 Cash

Bronze Medal, Certificate &Rs.

2000 Cash



Note: District toppers will be awarded separately with district topper certificate and medals.

GTSE Scholarships***

CAT - ETPP (Class 10 only)

Selected Students

100% Waiver 100% Waiver 100% Waiver 100% Waiver 100% Waiver

Scholarship Category

Rank Registration Fee

Admission Fee

Tuition Fee Technology Fee

Examination Fee

CAT – A (YTPP, for all classes)

1 – 3 100% Waiver 100% Waiver 100% Waiver 100% Waiver Chargeable

CAT – B (YTPP, for all classes)

4 – 10 100% Waiver Chargeable 90% Waiver 100% Waiver Chargeable

CAT – C (YTPP, for all classes)

11 – 25 100% Waiver Chargeable 80% Waiver Chargeable Chargeable

CAT – D (YTPP, for all classes)

26 – 50 Chargeable Chargeable 70% Waiver Chargeable Chargeable

CAT - E (YTPP, for all classes)


CAT – F (YTPP, for all classes)


THESE TERMS AND CONDITIONS ARE SUBJECT TO CHANGE WITHOUT NOTICE, FROM TIME TO TIME IN OUR SOLE DISCRETION. WE WILL NOTIFY YOU OF AMENDMENTS TO THESE TERMS AND CONDITIONS BY POSTING THEM TO THE OFFICIAL WEBSITE. ** Cash Prize of Class X will be given to the students who opt for our classroom program. Prize Money will be given via postdated cheque, that can be deposited in bank after completion of 1 year of his/her study at Genius Classes. Prize money of Class VII, VIII & IX will be awarded on the same day of prize distribution ceremony. *** Scholarship shown in the table is applicable for all the qualified candidate of class 9 and 10 appearing, and unused scholarships will be expired on 31st March, 2019 Note:

1. ETPP scheme is valid for 2 years foundation course (+1 and +2 - 2019-2021), for day scholars only, running by Genius Classes.

2. Scholarships are not transferable in any form or to any other student. 3. Students applying for ETPP have to show their present family income proof. It should be not more than 2

lac per annum. 4. Students applying for ETPP have to fill a separate form at office and its eligibility will be at sole discretion

of AESPL management.

GTSE Syllabus

GTSE SYLLABUS for STUDENTS STUDYING in Class VII: Math: Integers, Fractions and Decimals, Rational numbers, Lines and Angles, Algebraic expressions, Exponents and

Powers, Triangles and its Properties, Visualising Solid Shapes

Science: Nutrition in Plants, Nutrition in Animals, Heat, Acids, Bases and Salts, Physical and chemical changes,

Respiration in Organisms, Motion and Time

Mental Ability: Verbal & Non-Verbal Reasoning: Number and Alphabet Test, Series, Classification, Analogy, Direction Test, Coding and Decoding, Problems Based on Figures

GTSE SYLLABUS for STUDENTS STUDYING in Class VIII: Math: Rational numbers, Understanding quadrilaterals, Square and square roots, Cube and cube roots, Comparing

Quantities, Practical Geometry, Visualising solid shapes, Algebraic expressions and identities

SCIENCE: Crop Production and Management, Microorganisms: Friend or Foe, Synthetic fibres and plastics, Materials:

Metals and Non-metals, Coal and Petroleum, Force and Pressure, Friction

Mental Ability: Verbal & Non-Verbal Reasoning: Number and Alphabet Test, Series, Classification, Analogy, Direction Test, Coding and Decoding, Problems Based on Figures GTSE SYLLABUS for STUDENTS STUDYING in Class IX: Math: NUMBER SYSTEM, POLYNOMIALS, COORDINATE GEOMETRY, INTRODUCTION TO EUCLID’S GEOMETRY, LINES

AND ANGLES, TRIANGLES, HERON’S FORMULA, SURFACE AREA AND VOLUMES

SCIENCE

Physics: Motion, Force and Newton’s laws, Gravitation: Up to Free fall.

Chemistry: Matter in our Surroundings, Is matter around us pure?, Atoms and molecules.

Biology: Improvement in Food Resources, Fundamental Unit of life, Tissues

Mental Ability: General Logical Reasoning, Analytical Reasoning, Figure Matrix, Problems Based on Figures GTSE SYLLABUS for STUDENTS STUDYING in Class X: Math: Real Numbers, Polynomials, Pair of Linear Equations, Quadratic Equations, Arithmetic Progression, Triangles,

Introduction to Trigonometry, Applications of Trigonometry, Statistics, Surface area and volume.

SCIENCE:

Physics: Electricity, Magnetic effect of current, Sound and energy.

Chemistry: Chemical reaction and equations, Acid, bases and salts, Metal and Non-metals

Biology: Life Processes, Control and coordination

Mental Ability: Verbal & Non-Verbal Reasoning: Series, Analogy, Classification, Coding – Decoding, General Logical & Analytical Reasoning, Problems Based on Figures; Data Interpretation

Examination/Question Pattern

S.No. Syllabus No. of questions for Class VII

No. of questions for Class VIII

No. of questions for Class IX

No. of questions for Class X

1 Part 1 (Math) 20 20 20 20

2 Part 2 (Science) 30 30 40 60

4 Part 3 (Mental Ability)

10 10 15 20

Total Number of questions

60 60 75 100

Exam duration 2 hours 2 hours 2.5 hours 3 hours

• Marking Scheme: Each question will contain four marks.

• Negative Marking: There will be negative marking in this examination; one mark will be deducted for each incorrect response.

• Candidates are required to use only blue/black ball point pen to mark their answers.

• Candidates note down multiple answers for one question will lead to the negative marking.

• Question paper language will be bilingual i.e. Hindi / English

• Model Question Papers can be downloaded from our official website i.e. www.geniusclass.in.

• In case of any ambiguity in translation of any of the questions, its English version will be treated as final.

• This exam will be organized by Acroatic Edu-Solutions Pvt. Ltd.


Terms and conditions

1. Incomplete form will not be considered. It is compulsory to fill all the columns. Kindly attach all the required

documents along with duly filled enrollment form.

2. It is compulsory to provide Mobile No. & Email Id of the student/ parent /guardian. The result of the test or

any other information by the institute will be sent to the student via SMS and / or E-Mail. Institute shall not

be responsible if any information regarding result or anything else is not reached to the student if he/she has

not mentioned his/her or Parent's/Guardian's updated & correct Mobile No / E-mail ID in Enrolment Form at

the time of enrolment, it is advised to write Phone no. & E-mail ld. of either father or mother for right

communication between institute & student.

3. During the Classroom Program at Genius Classes, a student must meet the following requirements failing

which his/her free-ship program will be revoked with immediate effect. The decision of Management of

AESPL shall be final and binding to the students and the parents.

a) ATTENDANCE: The attendance of the student in the coaching class should not drop below 85%

throughout the classroom program. It is compulsory for a student under this program to write all

his/her class test papers conducted by the institute in his/her batch.

b) TEST MARKS: The students will be required to maintain a minimum of 40% marks in their regular

assessment tests

c) Any act of indiscipline by the student brought to the notice of the administration of AESPL in the

classroom centre, will not be accepted. A warning will be issued to such students, offering them

another chance to improve their behaviour, despite warning, if the student does not alter his/her

attitude and commits another act of indiscipline, his/her candidature for the free-ship program will

be revoked with immediate effect and can be struck off from role.

d) In case a student misbehaves / gets involved in negative activities like teasing, theft, indiscipline, use

of abusive languages, he/she can be rusticated by the Centre Head and fee paid shall not be

refunded in such cases.

e) If a student keeps himself/herself absent from the classes without prior permission from the Centre

Head, then a warning letter will be issued against him/her. Despite the warning letter, if the student

continues to default further and does not change his/her attitude, then the free-ship program of

such student will be revoked with immediate effect.

f) If a student continues to remain absent for more than two weeks due to health issues or any other

reason without prior permission from the Centre Head, his/her candidature for the free-ship

program will be revoked

4. The scholarship criteria mentioned is meant for Regular Classroom Courses.

5. If any student fails in his/her school exam, facility/Scholarship will be withdrawn &the student will be

disqualified from the program.

6. The cut-off score for scholarship eligibility shall be decided by the management at the time of declaration of

Result.

7. In case, any dispute or difference arises between student/ parents and the Institute regarding the

interpretation of these terms and conditions, non-payment of any claim or any dispute arising out of or in

pursuant to these terms and conditions, the same shall be referred to sole arbitrator who shall be appointed

by the Director of M/s Acroatic Edu-Solutions Private Limited.

8. The proceedings shall be conducted at Muzaffarpur under the provisions of Arbitration & Conciliation Act

and the Courts at Muzaffarpur only shall have the jurisdiction over the matter and/or for enforcement as the

case may be. If an arbitrator to whom the matter is referred refuses to act or for any reason, does riot enter

the reference or after entering into the reference proceedings are abandoned or kept in abeyance or not

proceeded with, it shall be lawful for the Director of M/s Acroatic Edu-Solutions Private Limited, to appoint

another person to act as an arbitrator in the manner aforesaid. Such person shall be entitled to proceed with

reference from the stage at which proceeding was left by his predecessor.

PHYSICS

CONCEPT MAP

Gravitation : It is the phenomenon by which all objects with mass attract each other.

Acceleration due to gravity (g) : It is the uniform accelerationproduced by a freely falling body under the gravitation pull ofthe earth.

g = 9.8 m s-2 = 980 cm s-2

Newton’s Universal Law ofGravitation : Every particle ofmatter in the universe exerts anattractive force on every otherparticle, the force being directlyproportional to the product oftheir respective masses andinversely proportional to thesquare of their separation. Theforce of attraction always actsalong the line joining the twoparticles.

1 22

m mF Gr

Gravitational Constant : G isequal to the force of attractionbetween unit masses placed atunit distance apart.SI unit is N m2 kg-2

-11 2 26.67 10 N m kgG

Mass : Mass is the quantity of matter contained in it. S.I. unit of mass is kilogram

Weights : Weight of a body is the force with which it isattracted towards the centre of the earth W = mgS.I. unit is newton.

Factors affecting g

Altitude :2( )h

GMgR h

2(1 )hhg g as h R

R

g is maximum atpole and minimumat equator.

Depth : 1ddg gR

Kepler’s law of planetary motion Law of areas : The line joining the sun to any planet,known as radius vector sweeps out equal areas in equaltime intervals.

Law of periods: The square of the period of revolutionof a planet around the sun varies directly as the cube ofthe semi-major axis of its elliptical path.

Law of orbits: All planets movearound the sun, in elliptical orbitswith the sun located at one itsfoci.

CONCEPT MAP

Thrust and Pressure

Upthrust : The upward force exerted bythe fluid on the immersed body is knownas upthrust.

Pressure :Force acting per unit area of a surface

Pressure -2force(P)= ,Units: Pa, dyne cmarea

Archimedes’ Principle : When a body iswholly or partially immersed in a liquid, itexperiences an upward thrust equal to theweight of liquid displaced by the body.

Laws of Floatation : Weight of a floating body = upthrust or buoyant force = apparent loss of weight of the body in the fluid. The centre of gravity and the centre of buoyancy lie in the same vertical line.

Atmosphericpressure

The blanket of air above earth is called atmosphere and pressure exertedby it is atmospheric pressure.

Applications of Pascal’s law : Hydraulic brakes Hydraulic press

Pascal’s law : Pressure is transmitted inequal magnitude in all directions throughan incompressible fluid.

Thrust : Force acting on a body normal toits surface. S.I. unit of thrust is newton.

Fluid : Substance which has an ability toflow is called fluids.

Fluid Pressure : Pressure exertedby fluid is called fluid pressure.

Types of fluid pressure

Downward pressure

Upward pressure

Lateral pressure

CONCEPT MAP

Work, Power & Energy

The principle of conservation of energy states that the energy in a system can neither be created nor

destroyed. It may be transformed from one form to another, but total energy of the system remains constant.

Power is the rate at

which work is done.

P = 𝒘

𝒕=

𝑬

𝒕, where

W = work done (in J)

E = energy converted (in J)

t = time taken (in s)

• Chemical potential energy

• Elastic potential energy

• Thermal energy

• Kinetic energy (Ek = 𝟏

𝟐𝒎𝒗𝟐)

• Gravitational potential energy (Ep = mgh)

J (SI Unit) J (SI Unit)

Work W Energy E

W = F × s, where

F = force (in N)

s = Distance moved in the distance

moved in the direction of the force (in m)

W (SI Unit)

Power

is the capacity

to do

Which are related to

each other by

is defined as

is defined as is related to is related to

has many forms such as

Interconversion of states of matter

SOME IMPORTANT RELATIONS REGARDING MOLES OF ATOMS 1. Mass of 1 mole of atoms = Gram atomic mass

2. 1 mole of atoms = 6.023 × 10- atoms

3. Gram atomic mass = Mass of 6.023 × 1023 atoms

Mass of molecules of a gas or vapourV .D. at S .T .P .Mass of molecules of hydrogen

1

1

V .D. M .W . 2

pH SCALE : A scale for measuring hydrogen ion concentration in a solution called pH scale, has been developed by S.P.L. sorrensen. The P in pH stands for potenz’ in German meaning power. On the pH scale we can measure pH from O (very acidic) to 14 (very alkaline). pH should be thought of simply as a number which indicates the acidic or basic nature of solution. Higher the hydrogen ion concentration, Lower is the pH scale.

Characteristic of pH scale are - (i) For acidic solution, pH < 7 (ii) For alkaline solution, pH > 7 (iii) For neutral solution, pH = 7

CHEMISTRY

EXPANSION

1. abbaba 2)( 222

2. abbaba 2)( 222

3. bababa 22

4. 2222)( cbacba

)(2 cabcab

5. )(3)( 333 baabbaba

6. )(3)( 333 baabbaba

7. ))(( 2233 babababa

8. )()( 2233 babababa

9. abccba 3333 = )( cba

)( 222 cabcabcba

DO YOU KNOW?

* 3435 3 4 3 53 4 3 5 * 2 is the smallest and only even prime number

NUMBER SYSTEMComplex Number (C)

Real Numbers (R) Imaginary Numbers

Rational Numbers (Q)

Integers (I)

Natural Numbers (N)

Irrational Numbers

Fractions

Zero Integer Negative Integers

Whole Numbers (W)

N 12 3, , ................l qW 0 1 2 3, , , .........l qI 1 2 3, , ...........l q ,

I0 0 l qI 1 2, ,........l q

Real Number line+-3 -2 -1 0 +1 +2 +3

LAWS OF INDICES

Product Law :- nmnm aaa

Division Law or Quotient Law:nm

n

ma

a

a

Power Law : 0,)( aaa mnnm

• 10 a If 0a and a > 1

• 0,1

aaa

nn

• 0,

bb

aba

n

nn

• nnn baab .

• 0, nba nn ba

• mn aa 1 and 0, aamn

DO YOU KNOW?

* If radius of circle is decreased by r% then area

is decreased by : 2100

2r r

FHG

IKJ%

• Product Law :- nmmn aaa logloglog

• Division Law :- nmnm

aaa logloglog

• Power Law:- mnm an

a loglog

• a xa xlog

LOGARITHM

If ban then nba log

• 01log a

• 1log aa .

• logloga

bb

a

1

• baab log

loglog

Where a and 0 1,

DO YOU KNOW?* If radius of circle increased by r% then area

is increased by : 2100

2r r

FHG

IKJ%

MATHEMATICS

POLYGONS

1. Sum of interior angles of n sided

polygon = 090)42( n2. Each interior angle of n sided regular

polygon = n

n 090)42(

3. Sum of exterior angle of a polygon = 0360

4. Each exterior angle of a regular polygon = n

0360

Interior angle + Exterior angle = 1800

LINEAR AND SIMULTANEOUS EQUATION

Let, 0111 cybxa and 0222 cybxa

PROFIT AND LOSS

Profit :- S.P. – C.P.,Discount is always given on marked price/list price.

S.P. = M.P. – discountDiscount = M.P. – S.P.

Net Profit = Profit - Tax

Profit % = %100C.P.

Profit

Loss % = %100C.P.Loss

If there is a profit of r%, then S.P. = .P.100

r1 C

If there is a loss of r%, then S.P. = C.P.100

r1

Discount % = %100M.P.

Discount

If the discount is d%, then M.P.100

d1S.P.

If two successive discount of d1% and d2%, then

M.P.100d

1100d

-1S.P. 21

TRIANGLE1- Types of Triangles on the Basis of Sides :-

(a) Scalene triangle : A triangle with all sidesunequal, is called scalene triangle.(b) Isosceles triangle : A triangle having twosides equal, is called an isosceles triangle.(c) Equilateral triangle : If all the three sidesof a triangle are equal, is called an equilateraltriangle.

2. Types of Triangles on the Basis of Angles :(a) Acute-angled triangle : If all the threeangles of a triangle are acute, is called acute-angledtriangle.(b) Right-angled triangle : If one angle of a

0, is called right-angled triangle.(c) Obtuse-angled triangle : If one angle of atriangle is obtuse (greater than 900), is called anobtuse angled triangle.

Conditions for Congruency of Triangles :(a) S.A.S. – Side-Angle-Side congruency(b) A.S.A. – Angle-Side-Angle congruency(c) S.S.S. – Side-Side-Side congruency(d) R.H.S. – Right Angle-Hypotenuse-Side

congruency

Conditions for Similarity of Triangles :(a) A.A.A.– Angle-Angle-Angle similarity(b) S.S .S. – Side-Side-Side similarity(b) A.S.A. – Angle-Side-Angle similarity

MUST TO REMEMBERMid Point theorem :- The segment joining mid-pointsof any two sides of a triangle is parallel to the third sideand is equal to half of it.Intercepts theorem :- If a transversal makes equalintercepts on three ( or more ) parallel lines, then anyother line cuttingthem also makes equal intercepts.Basic Proportionality theorem:- If a line is drawnparallel to one side of a triangle intersecting the othertwo sides then two sides are divided in the same ratio.Pythagoras theorem:- In a right angled triangle, thesquare of the hypotenuse is equal to the sum of thesquares of the other two sides.Incenter :- It is the point of intersection of angularbisectors of triangle.Circumcenter :- It is the point of intersection ofperpendicular bisectors of the sides of a triangle.Ex-Centers :- Point of intersection of exterior angu-lar bisectors of a triangle.Orthocenter :- Point of intersection of attitudes of atriangle.Centroid :- Point of intersection of medians of a tri-angle.(The centroid divides the medians in the ratio 2 : 1)Medians :- Lines joining the vertex to the mid pointof the opposite sides.

triangle is equal to 90

(1) Rectangle -Area = l x bPerimeter = 2 ( l + b)

Diagonal (d) = 22 bl

(2) Square -Area = (Side)2 = a2

Perimeter = 4 side = 4a

Diagonal (d) = a2

(3) Paralle logram-Area = base height

Perimeter = bl 2 ,where l and b are two sides

(4) Rhombus-Area = ½ product of diagonalsPerimeter = 4a

(5) Trapezium-Area = ½ (Sum of parallel sides) height

SOME SPECIAL TYPES OFQUADRILATERALS

(3) Equilateral triangle

2a43Area , 3aPerimeter ,

a23Height

SOME SPECIAL TYPE OF TRIANGLES

(1) Right Angled Triangle -

heightbase21

Area

ACBCABPerimeter (2) Isosceles Triangle

22 b4ab41

Area , P = 2a + b,

Height= 2

4 22 ba

DO YOU KNOW?* Sum of cube of all natural number is

n n FHG

IKJ

12

2b g where n is total natural no.

CIRCLES

(1) Circle-Circumference = 2 r = d,

Area = 2r(2) Semicircle-

Circumference = r ,

Perimeter = rr 2 = 2r

Area = 221 r

(3) Quadrant- Circumference = 2r

,

Perimeter = rr

22

=

2

2

r ,

Area = 241

r

(4) Area Enclosed by two circles-

Area = )( 22 rR

* Distance moved by a rotating wheel in onerevolution = Circumference of a wheel

* The no. of revolution completed by a rotatingwheel in one minute

= nceCircumfere

minute onein moved Distance

SOLID FIGURES

Cuboid -Lateral / Curved surface Area=2(l+b)hTotal surface Area = 2(lb + bh + hl)Volume = l b h

Diagonal = 222 hbl

Cube -Lateral / Curved surface area = 4a2

Total Surface Area = 6a2

Volume = a3 ,

Diagonal = a3

Right Circular Cylinder -Curved Surface Area = hr2

Total Surface Area = hrr 2

Volume = hr 2

Spherical ShellLet R and r be the radii ofthe outer and inner spheres,then(i) Thickness of the shell = R – r.

(ii)43 (R3–r3).

Solid HemisphereLet r be the radius of a hemisphere, then(i) Curved (lateral)

surface area = 2r2.(ii) Total surface area = 3r2.

(iii) Volume = 23r3.

Hemispherical ShellLet R and r be the radiiof the outer and innerhemispheres, then

(i) Thickness of the shell = R – r.(ii) External curved

surface area = 2R2.(iii) Internal curved surface area = 2r2.(iv) Total surface area = (3R2 + r2).

(v) Volume of material =23

(R3–r3).

Hollow Cylinder -* External curved

Surface Area = hR2* Internal curved

surface area = hr2

* Total surface Area = )(222 22 rRrhhR

* Volume = )( 2222 rRhhrhR

C o n eLet r and h be the radius andheight, and l be the slant height .of a cone, then

(i) Slant height = l = r h2 2(ii) Curved (lateral) surface area = rl.(iii) Total surface area = r(l+r)

(iv) Volume = 13 r2h.

Solid SphereLet r be the radius of a solidsphere, then

(i) Surface area = 4r2. (ii) Volume = 43 r3.

TRIGONOMETRY

(i ) sin = perpendicular

hypotenuse (ii) cos = base

hypotenuse

(i ii ) tan = perpendicular

base (iv) cot = base

perpendicular

(v) sec = hypotenuse

base(vi) cosec =

hypotenuseperpendicular

θcosec1

sinθ , sinθ1

cosecθ

secθ1

cosθ , cosθ1

secθ

cotθ1

tanθ , tanθ1

cotθ

cosθsinθ

tanθ , sinθθcos

cotθ

Trigonometrical ratios of standard angles:

AngleRatio

sin

cos

tan notdefined

00 300 450 600 900

0 12

12

32 1

1 32

12

12 0

0 13 1 3

Complementary Angles –cosθθ)90(sin , θsθ)90(c inos

θcotθ)90(t an , θtanθ)90cot(

θcosθ)90(sec ec , θsecθ)90(cosec HEIGHTS AND DISTANCE

• Angle of Elevation - It is the angle

formed by the line of sight with

horizontal through the

eyes of observer when the

object is above the eye level• Angle of Depression = It is

the angle formed by the lineof sight with the horizontalwhen the object is below the eye level.

Volume of material =

MedianLet n be the total number of observations, then

evenisnif

2

nobservatioth12n obs. th

2n

odd is n if nobservatioth2

1n

Quart ile s.

Inter quartile-range = upper quartile(Q3) - lowerquartile(Q1)

Semi inter quartile range = 2

13 QQ

Class size:- The difference between the actual upperlimit and the actual lower limit of a class is calledits class size.

Class Mark:- The class mark of a class is the valuemidway betwen its actual lower limit and actualupper limit.

median = {ui =

xc

i - A (Step deviation method)

STATISTICS

Mean :(i ) Mean (for unground data)

= x

ni where x1, x2, x3, -----xn are the

observations and n is the total no. ofobservations.

(i i) Mean (for grouped data)

=

f i xf

i

iwhere x1, x2, x3 ...., xn are different

variates with frequencies f1, f2, f3, ...., fnrespectively.

(i ii ) Mean for continuous distribution.Let there be n continuous classes, xi be theclass mark and fi be the frequency of the ithclass, then

Mean =

fi xf

i

i(Direct method)

Let A be the assume mean, then

Mean =A +

fidf

i

i where di = xi –A

(Short cut method)If the classes are the equal size, say c, then mean

= A + c ×

fi uf

i

i where

Lower quartile =

Upper quartile = {{

34n th observation if n is even, .

3 14

( ) , .n th observation if n is odd

n th observation if n is even4

, .

n th observation if n is odd 14

, .

COMPOUND INTEREST

Principal P,, Amount A, Time T,T,Rate R Simple Interest - S.I.Compound Interest - C.I.

100TRP

S.I.

, IPA

For Annually-

years ofnumber n,100R1PA

n

PAC.I. ,

1

1001..

nrPIC

For time years1t

n

1001

1001A

trr

pn

, C.I. = A - P

For Half yearly -R% is divided by 2no. of years is multiplied by 2.

nrPA2

10021

,

1

200r

1PC.I.2n

SALES TAX AND VAT

Market price/Marked price/Printed price/List price/Sale price indicates the same and is denoted by M.P.

1 - Sales tax is is calculated on S.P.2 - S.P. = M.P. – Discount3 - Discount is found on M.P.4 - M.P. = S.P. if there is no discount

For Quarterly -R% is divided by 4no. of years is multiplied by 4

4n

1004r1PA

,

1

4001..

4nrPIC

If the interest rates percent for the successive

fixed periods are ...%.........R%,R%,R 321

.....100

1100

1100

1PA 321

RRR

• If interest is compounded annually, then take R =Given rate and n = Given time.

• If interest is compounded half yearly, then take R= Given rate/2 and n=Given time 2.

• If interest is compounded quarterly, then takeR = Given rate /4 and n = Given time 4.

QUADRATIC EQUATIONS1. If ax2+ bx + c = 0 is a quadratic equatioin and ‘’

and ‘’ are the roots of the equations, then–

b b ac

ab b ac

a

2 242

42

,

2. If the roots of a quadratic equation are given thenquadratic equation is

= x2–(sum of the roots) x + (product of the roots) = 0.

3. If ax2+bx + c = 0 is a quadratic equation and ‘ ’

and ‘ ’ are the roots of the equation then-

(i) + = – ba

(ii) = ca

4. If ax2+bx + c = 0 is a quadratic equation then (b2-4ac) is called the discriminant of the equation.

5. Nature of roots -(i) If b2–4ac> 0, Roots are real, distinct.(ii) If b2-4ac = 0, Roots are equal, real and

rational.(iii) b2 – 4ac <0, Roots are Imaginary.

REFLECTION

• Reflection in x-axis (Mx) : M x y x yx: , ,b g b g .

• Reflection in y-axis (My) : M x y x yy: , ,b g b g

• Reflection in origin (M0): M x y x y0: , ,b g b g

SHARES AND DIVIDEND

(i ) No. of shares bought = Investment

Market value

(i i) Annual income = Dividend

100 × Total nominal value

(i ii ) Market value = Nominal value + premium /Nominal value – Discount

(iv) Sale proceed = Selling price of each share × no. ofshares sold.

(v) Rate of return = Income

Investment × 100

(vi) N.V × D% = M.V. × R%

5 - Profit and loss is always calculated on C.P.Input Tax - The tax paid by a dealer on his/her

purchases of gtoods for resale 9subject to tax underVAT) during any fixed tax period is called Inputtax.

Output Tax - The tax changed by a dealer on his/hersales of goods (subjected to tax under VAT) duringany fixed tax period is called Output tax.

Computation of VAT -1 - Calculate the Output tax2 - Calculate the Input tax3 - Net tax to be paid by the dealer = output tax -

iniput tax.

RATIO AND PROPORTION

(i ) a2/b2 is called the duplicate ratio of a/b.

(i i) a3/b3 is called the triplicate ratio of a/b.

(i ii ) ab is called the subduplicate ratio of a/b.

(iv) ab

3

3 is called the subtriplicate ratio of a/b.

(v) ab

cd

is called the compound ratio of a/b and c/d.

(vi)ba

is called the reciprocal ratio of a/b.

(vii) If ab

bc

then ‘b’ is called the mean proportionaland ‘c’ is called the third proportional.

(viii) If ab

cd

then ‘c’ is called the 3rd proportional and‘d’ is called the 4 th proportional.

(ix) If ab

bc

cd

de

then a, b, c, d and e are incontinued proportions.

(x) Componendo - Dividendo

If ab

cd

then a + ba - b

= c + dc - d

MATRICES1. Equal matrices :

If Aa bc d

and Bp qr s

, thenLNM

OQP

LNM

OQP

A = B if a =p, b = q, c = r and d = s.2. Addition of matrices :

a bc d

p qr s

a p b qc r d s

LNM

OQP

LNM

OQP

LNM

OQP

3. Subtraction of matrices :a bc d

p qr s

a p b qc r d s

LNM

OQP

LNM

OQP

LNM

OQP

4. Multiplication by a scalar k :

ka bc dLNM

OQP

LNM

OQP

ka kbkc kd

5. Multiplication of two matrices :

a bc d

p qr s

ap br aq bscp dr cq ds

LNM

OQPLNM

OQP

LNM

OQP

DO YOU KNOW?

* If rectangle length and width is decreased byx% and y% respectively then area is

decreased by FHG

IKJx y xy

100%

EQUATION OF STRAIGHT LINE1. Slope of a Line.

(i) If the inclination of a line is , its slope (m) =tan .

(ii) Slope of a line through (x1, y1) and (x2, y2) is

given by m = y yx x

2 1

2 1

2. Equation of a Straight line.(i) Equation of a line parallel to

x-axis is y = b.(ii) Equation of a line parallel to

y-axis is x = a.(iii) Equation of a line with slope m and y-

intercept c isy = mx + c (Slope intercept form)

(iv) Equation of a line through (x1, y1) and withslope m isy–y1 = m(x-x1) (One point form)

3. Two lines with slopes m1 and m2 are(i) parallel if and only if m1 = m2.(ii) perpendicular if and only if m1.m2 = –1.

DO YOU KNOW?* Every even number greater than 4 can be ex-

pressed as the sum of two odd prime numbers.Ex. - 6 = 3 + 3

12 = 5 + 714 = 11 + 3

DISTANCE & SECTION FORMULA GEOMETRY1. Distance Formula.

The distance between the points

P(x1, y1) and Q (x2, y2)= (x - x ) + (y - y )2 12

2 12 .

2. Section Formula.The co-ordinates of the point which divides theline segment joining the points P(x1, y1) and Q(x2,y2) in the ratio m1 : m2 is

m x + m xm

1 2 2 1

1

FHG

IKJm

m y m ym m2

1 2 2 1

1 2, .

3. Mid-point FormulaThe co-ordinates of the mid-point of the linesegment joining the points P(x1,y1) and Q(x2,y2) is

x x y y1 2 1 2

2 2 F

HGIKJ, .

4. Centroid formulaThe co-ordinates of the centroid of a trianglewhose vertices are A(x1, y1), B(x2, y2) and C(x3, y3)are

x x x y y y1 2 3 1 2 3

3 3 F

HGIKJ,

DO YOU KNOW?* Unit digit of product of all the prime numbers

is zero.

LO CU S• The locus of a point equidistant from two given

point is the perpendicular bisector of the linesegment joining the two points.

• The locus of a point equidistant from two givenlines is the angular bisector of the angles betweenthe two lines.

CIRCLE (IMPORTANT THEOREMS)

• Equal arch subtend equal angles at the centre.

• Equal chord are equidistance from the centre

• Pependicular from the centre to the chord bisectthe chord.

• The angle substended by an acrch of a circle at thecentre is twice the angle subtended by it at anypoint on the remaining part of circumference ofcircle.

• Angle in the same segment of a circle are equal.

• Angle in a semicircle is a right angle.

• The opposite angle of a cyclic quadrilateal aresupplementry.

• The exterior angle of a cyclic quadrilateral is equalto the interior opposite angle.

• Longer Chord of a circle is nearer to the centre.

• Two circle are congurent if and only if they areequal radius.

PROBABILITY

1. If P Eb g denotes probability of an event, then

P(E) = Number of favourable outcomes

Total number of possible outcomes2. P(not E) = 1–P(E)3. P(E) + P(not E) = 14. P(sure event) = 15. P(impossible event)=0

Note : - 0 1 P Eb gPlaying cards (52)

26(Red cards) 26(Black cards)

13(Diamonds) 13(Clubs)13(Hearts) 13(Spades)

• Number of face cards =12• Number of Ace cards = 4• Number of King cards = 4• Number of queen cards = 4• Number of Jack cards = 4

DO YOU KNOW?* If profit of any article selling at Rs. x is equal to

loss of same article selling at Rs. y then cost

prize of article is x y

2.

Examination Centre _________________________ Roll No. ___________________ (To be filled by issuing authority) Name of the Candidate (in capital letters)

Fathers Name (in capital letters)

(To be filled by issuing authority) Date of Birth

Class_______________

Permanent Address: ________________________________________________________

________________________________________________________PIN______________

Address for correspondence: _________________________________________________

Contact No. (1). (2).

Email ID. _________________________________________________________________

Fathers Occupation: ________________________________________________________

Category: General / OBC / Disabled / Other _____________________________________

Name of School Attended ________________________________________________________________________

Board ____________________________________ Year of Class 10th School / Board Exam ____________________

✂-------------------------------------------------------------------------------------------------------------------

Examination Centre _________________________ Roll No. ___________________ (To be filled by issuing authority)

Name of the Candidate (in capital letters)

Fathers Name (in capital letters)

Address ____________________________________________________________________

Date of Birth: Class ______________________

Signature of the issuing authority:_________________________

Note: Students are instructed to come along with this admit card and a blue ball pen. Mode of test: The question paper in Scholarship test consist of 3 parts namely Chemistry, Physics & Mathematics/ Biology. Multiple type questions. Each question has four choices namely (A), (B), (C) and (D) out of which only one answer is correct.

D D M M Y Y Y Y Examination Date

Examination Time

D D M M Y Y Y Y

Examination Date / / Examination Time

SCHOLARSHIP TEST Genius Classes (A unit of Acroatic Edu-Solutions P. Ltd.)

Above Bank of India, Pankaj Market, Saraiyaganj, Muzaffarpur-842001 Contact No.: 7635091378, 7635091387, 7635091396, 9006911630

FOR IIT JEE (MAIN & ADV. )/NEET/AIIMS Email ID : [email protected] Website: www.geniusclass.in

ADMIT CARD Genius Classes (A unit of Acroatic Edu-Solutions P. Ltd.)

Above Bank of India, Pankaj Market, Saraiyaganj, Muzaffarpur-842001 Contact No.: 7635091378, 7635091387, 7635091396, 9006911630

FOR IIT JEE (MAIN & ADV. )/NEET/AIIMS Email ID : [email protected] Website: www.geniusclass.in

Beti Bachao Beti Padhao, abbreviated as BBBP, was started by the

present Prime Minister of India Mr. Narendra Modi on 22nd January, 2015.

The campaign addresses the diminishing Child Sex Ratio (CSR) and other

issues related to women empowerment during the life-cycle. According to

Prime Minister Narendra Modi, “Our mantra should be: son and daughter

are equal.”

“Daughters are precious and it takes a lot of time for some parents to

realize the same. We are attempting to bring about a transformational

change in the manner our society looks at the girl child.”

~Nand Kumar Prasad Sah (Nandu Babu)

The objectives of this initiative are:

• Prevention of gender biased sex selective elimination

• Ensuring survival & protection of the girl child

• Ensuring education and participation of the girl child

We at Acroatic Edu-Solutions Pvt. Ltd. support this scheme, and taking note of it we have decided to give additional

10% scholarship* to girl child. It is our call to save the lives of the down trodden girls and give them an opportunity

of higher education so that they can be empowered and participate in all the working areas. Save the girl child and

ensure her safety with a view to strengthen and create a better India. According to Prime Minister Narendra Modi,

every girl child should be educated in this country so that she can learn what she wants.

What you can do individually: -

• Express joy at the birth of the girl child in the family and community.

• Daughters are our pride and we should do away with the tendency to treat them as ‘burden’ and ‘other’s

property’.

• Find ways to promote equality between boys and girls.

• Challenge gender stereotypes and roles of men and boys for the safe entry of girls in school.

• Educate your children to respect women and girls as equal members of the educated and aware members of

society.

• Report any incident of sex determination test.

• Make efforts to create safe and violence-free neighbourhood for women and girls.

• Promote simple marriage within the community and family and oppose dowry and child marriage.

• Support the right of women to inherit property.

• Encourage women to go out, obtain higher education, further their work, do business, visit public places

freely.

• Be sensitive to women and girls, keep their welfare in mind.

10% additional scholarship for girls under this initiative

Documents

GTSE - Genius Classes€¦ · GTSE (Genius Talent Search Exam) GTSE (Genius Talent Search Exam) is a yearly competitive exam designed for School students (students in Class VII, VIII,