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The National Defence Academy (NDA) in India is a prestigious institution that trains prospective Indian military leaders. Established in 1954, NDA is located in Khadakwasla near Pune, Maharashtra. Its primary mission is to provide cadets from the Indian Army, Navy, and Air Force with comprehensive training prior to their transfer to their respective service academies.

The National Defence Academy provides a rigorous three-year program that combines academic education and military instruction. Cadets receive instruction in a variety of subjects, including science, the humanities, and physical fitness, while also refining their leadership and character development abilities. The academy seeks to inculcate in its cadets the values of discipline, integrity, and national service.

NDA cadets receive specialized training to become officers in the armed forces at their respective service institutions – the Indian Military Academy (IMA), Indian Naval Academy (INA), or Air Force Academy (AFA) – upon graduation.

The National Defence Academy is instrumental in developing future Indian defenders and preserving the nation’s security and sovereignty.

For the written portions of the UPSC NDA/NA exams, Spearhead Academy provides tutoring. The Spearhead Academy faculty is highly skilled and has a wealth of expertise in successfully preparing students for NDA exams. Each student who chooses coaching with Spearhead Academy will feel secure and well-prepared for the exam thanks to the high standards of excellence we uphold.

Along with covering the entire syllabus subject by subject following the UPSC, we also help our students by giving them practice exams, previous year’s test questions, and doubt-clearing sessions that are held weekly to track each student’s development. The outcomes of the mock tests and weekly tests are also discussed to identify any areas where the student may be deficient. By doing this, teachers may be certain that the students are prepared for the exam, know how to approach it, use their time wisely, and achieve the best results.

Students are taught particularly how to handle the NDA examination by knowledgeable and up-to-date professors, who concentrate on the format and kinds of questions that are most likely to be asked there. For rapid and correct answers, students can master a variety of formulas and shortcuts.

To prepare oneself for a competitive exam like NDA, coaching is a must to get the edge over others. In today’s competitive exams like NDA, COACHING IS A MUST BECAUSE:

1 .More than 3,00,000 students sit for this exam and the number is increasing drastically year by year. Hence making the exam more and more competitive and **one mark difference could mean selection or rejection of the candidate**. There are anywhere between 300- 400 seats, so serious students, must get the edge over others for which coaching is a must.

2. Comprehensive Preparation: NDA entrance exams cover a wide range of subjects, including mathematics, English, and general knowledge. Spearhead Academy provide a structured curriculum, study materials, and experienced instructors who can guide students through all the relevant topics, ensuring comprehensive preparation.

3. Expert Guidance: Coaches at Spearhead Academy are former defence personnel or subject matter experts who can provide valuable insights and tips on how to approach the exam effectively. They can share their experiences and expertise, helping students to understand the nuances of the exam.

4. Time Management: NDA exams have a strict time limit, and effective time management is crucial. Coaching can help students develop strategies for time management, solving problems efficiently, and prioritizing questions.

5. Mock Tests and Practice: Spearhead Academy typically offer a series of mock tests and practice papers that simulate the real NDA entrance exam. This helps students become familiar with the exam format and conditions, which can boost their confidence and readiness.

6. Peer Learning: Joining Spearhead Academy means you’ll be surrounded by peers who are also preparing for the same exam. This environment encourages healthy competition, allows for group study sessions, and provides a support network to discuss doubts and share knowledge.

7. Motivation: Spearhead Academy helps keep students motivated and disciplined in their preparation. Regular classes, assignments, and assessments can create a structured routine that keeps candidates on track.

8. Personalized Attention: Spearhead Academy offer personalized attention to students, allowing them to focus on their specific weaknesses and areas that need improvement.

9. Updated Material: NDA entrance exam patterns, syllabus, and question formats may change over time. Spearhead Academy usually keep their study materials and curriculum up-to-date with the latest changes.

Students should enrol in tutoring as soon as they have time available because Spearhead Academy offers year-round sessions for NDA exams. To guarantee there is adequate time for practice, revision, and self-study, it is advisable to enrol in coaching a few months before the exam. There are a limited number of seats available, and they are assigned on a first-come basis.

NDA and NA written entrance examination is conducted by UPSC twice a year. Notification for the exam appears in all major national dailies in Dec/Jan for the April exam and in May/June for the September exam. The exam is held in April and September. Candidates must apply to sit for the examination, online on the UPSC website after notification is released by UPSC.

The

NDA written exam is comprised of two tests. The duration of each test is two and a half hours and both are conducted on the same

day, consecutively. The examination is set by the UPSC.

Table | |||
---|---|---|---|

1 | Mathematics | 2.5 hours | 300 |

2 | General Ability Test(English + GK) | 2.5 hours | 600 (200 + 400) |

Total | 900 |

**Algebra:** Concept of a set, operations on sets, Venn diagrams. De Morgan laws. Cartesian product, relation, equivalence relation. Representation of real numbers on a line. Complex numbers – basic properties, modulus, argument, cube roots of unity. Binary system of numbers. Conversion of a number in decimal system to binary system and vice-versa. Arithmetic, Geometric and Harmonic progressions. Quadratic equations with real coefficients. Solution of linear inequations of two variables by graphs. Permutation and Combination. Binomial theorem and its application. Logarithms and their applications.

**Matrices and Determinants:** Types of matrices, operations on matrices Determinants of a matrix, basic properties of determinant. Adjoint and inverse of a square matrix, Applications – Solution of a system of linear equations in two or three unknowns by Cramer’s rule and by Matrix Method.

**Trigonometry:** Angles and their measures in degrees and radians. Trigonometrical ratios. Trigonometric identities Sum and difference formulae. Multiple and Sub-multiple angles. Inverse trigonometric functions. Applications – Height and distance, properties of triangles.

**Analytical Geometry of two and three dimensions:** Rectangular Cartesian Coordinate system. Distance formula. Equation of a line in various forms. The angle between two lines. Distance of a point from a line. Equation of a circle in standard and general form. Standard forms of parabola, ellipse and hyperbola. Eccentricity and axis of a conic. Point in a three-dimensional space, the distance between two points. Direction Cosines and direction ratios. Equation of a plane and a line in various forms. The angle between two lines and the angle between two planes. Equation of a sphere.

**Differential Calculus:** Concept of a real-valued function – domain, range and graph of a function. Composite functions, one-to-one, onto and inverse functions. The notion of limit, Standard limits – examples. Continuity of functions – examples, algebraic operations on continuous functions. Derivative of a function at a point, geometrical and physical interpretation of a derivative – applications. Derivatives of sum, product and quotient of functions, a derivative of a function with respect to another function, derivative of a composite function. Second-order derivatives. Increasing and decreasing functions. Application of derivatives in problems of maxima and minima.

**Integral Calculus and Differential equations:** Integration as inverse of differentiation, integration by substitution and by parts, standard integrals involving algebraic expressions, trigonometric, exponential and hyperbolic functions. Evaluation of definite integrals – determination of areas of plane regions bounded by curves – applications. Definition of order and degree of a differential equation, formation of a differential equation by examples. A general and particular solution of a differential equation, solution of the first order and first-degree differential equations of various types – examples. Application in problems of growth and decay.

**Vector Algebra: **Vectors in two and three dimensions, magnitude and direction of a vector. Unit and null vectors, addition of vectors, scalar multiplication of vector, scalar product or dot product of two vectors. Vector product and cross product of two vectors. Applications are done by a force and moment of a force and in geometrical problems.

**Statistics and Probability:** Statistics: Classification of data, Frequency distribution, cumulative frequency distribution – examples Graphical representation – Histogram, Pie Chart, Frequency Polygon – examples. Measures of Central tendency – mean, median and mode. Variance and standard deviation – determination and comparison. Correlation and regression.

**Probability**: Random experiment, outcomes and associated sample space, events, mutually exclusive and exhaustive events, impossible and certain events. Union and Intersection of events. Complementary, elementary and composite events. Definition of probability – classical and statistical – examples. Elementary theorems on probability – simple problems. Conditional probability, Bayes’ theorem – simple problems. Random variable as function on a sample space. Binomial distribution, examples of random experiments giving rise to Binominal distribution.

**Part ‘A’ – ENGLISH** (Maximum Marks 200): The question paper in English will be designed to test the candidate’s understanding of English and workman-like use of words. The syllabus covers various aspects like Grammar and usage, vocabulary, comprehension and cohesion in extended text to test the candidate’s proficiency in English.

**Part ‘B’ – GENERAL KNOWLEDGE** (Maximum Marks 400): The question paper will consist of current affairs questions, and questions from science, history, geography and polity. The NDA written exam syllabus includes subjects like History, Polity, Economics, Maths, Geography, Physics, Biology, Chemistry, Current Affairs, GK, English etc.

To view the detailed syllabus for the general ability paper, please **click the link.**

UPSC declares the result of the NDA written exam in 3-4 months after the written exam. The same can be checked on the UPSC website. It is a competitive exam and there is no fixed cut-off percentage for passing. Candidates who perform better are sent the call letters for SSB interviews. The final merit list is prepared after the SSB interviews and medicals, final result and displayed on the UPSC website. Joining instructions are sent to students based on vacancies available as per the merit list.