# National Defence Academy Examination (I) – NDA & NA Exam I 2017 Syllabus

1. National Defence Academy Examination (I) – NDA & NA Exam I 2017 SyllabusSyllabus – General Principles

Syllabus of the UPSC NDA 1 Examination 2017

Paper I

Mathematics

( Code No. 01 )

( Maximum marks – 300 )

1. 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.

2. Matrices and Determinants : Types of matrices, operations on matrices. Determinant of a matrix, basic properties of determinants. 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.

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

4. Analytical Geometry of Two and Three Dimensions : Rectangular Cartesian Coordinate system. Distance formula. Equation of a line in various forms. Angle between two lines. Distance of a point from a line. Equation of a circle in standard and in general form. Standard forms of parabola, ellipse and hyperbola. Eccentricity and axis of a conic.

Point in a three dimensional space, distance between two points. Direction Cosines and direction ratios. Equation two points. Direction Cosines and direction ratios. Equation of a plane and a line in various forms. Angle between two lines and angle between two planes. Equation of a sphere.

5. Differential Calculus : Concept of a real valued function – domain, range and graph of a function. Composite functions, one to one, onto and inverse functions. Notion of limit, Standard limits – examples. Continuity of functions – examples, algebraic operations on continuous functions. Derivative of function at a point, geometrical and physical interpretation of a derivative – applications.

Derivatives of sum, product and quotient of functions, derivative of a function with respect of another function, derivative of a composite function. Second order derivatives. Increasing and decreasing functions. Application of derivatives in problems of maxima and minima.

6. 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. General and particular solution of a differential equations, solution of first order and first degree differential equations of various types – examples. Application in problems of growth and decay.

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

8. 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.

Paper II

General Ability Test

( Code No.02 )

( Maximum Marks – 600 )

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 on General Knowledge will broadly cover the subjects : Physics, Chemistry, General Science, Social Studies, Geography and Current Events.

The syllabus given below is designed to indicate the scope of these subjects included in this paper. The topics mentioned are not to be regarded as exhaustive and questions on topics of similar nature not specifically mentioned in the syllabus may also be asked. Candidate’s answers are expected to show their knowledge and intelligent understanding of the subject.

Section ‘A’ ( Physics )

Physical Properties and States of Matter, Mass, Weight, Volume, Density and Specific Gravity, Principle of Archimedes, Pressure Barometer.

Motion of objects, Velocity and Acceleration, Newton’s Laws of Motion, Force and Momentum, Parallelogram of Forces, Stability and Equilibrium of bodies, Gravitation, elementary ideas of work, Power and Energy.

Effects of Heat, Measurement of temperature and heat, change of State and Latent Heat, Modes of transference of Heat. Sound waves and their properties, Simple musical instruments.

Rectilinear propagation of Light, Reflection and refraction. Spherical mirrors and Lenses. Human Eye.

Natural and Artificial Magnets, Properties of a Magnet, Earth as a Magnet.

Static and Current Electricity, conductors and Non-conductors, Ohm’s Law, Simple Electrical Circuits, Heating, Lighting and Magnetic effects of Current, Measurement of Electrical Power, Primary and Secondary Cells, Use of X – Rays.

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### 63 Responses to “National Defence Academy Examination (I) – NDA & NA Exam I 2017 Syllabus”

1. sushant January 5, 2012 at 12:16 pm # Reply

how 2 check application status????

2. mohd baqir January 8, 2012 at 12:16 pm # Reply

qualification

3. isaac gabriel M January 10, 2012 at 6:43 pm # Reply

sir,
I didn’t receive my submit card i have applied to nda online
i didn’t get any details of examination please help me my number is 9551032554
thanking you sir
yours faithfully
isaac

4. ravi prakash singh January 14, 2012 at 7:53 pm # Reply

what is pattern of attempting nda?
commerce students eligeble for nda or not.
please give me information on 08574900595.
thanks!

5. Ajit kumar mishra January 20, 2012 at 7:00 pm # Reply

1.How many time i can attempt examination of N D A ?

6. sushil kumar January 29, 2012 at 6:44 pm # Reply

sir i did not recieve my admit card i did not get any information about exam please help me .

7. mohit February 3, 2012 at 5:12 pm # Reply

which date come nda form on 2012

8. tarun February 16, 2012 at 1:40 pm # Reply

is it that much tuff to clear nda exam?

9. vikas vicky February 19, 2012 at 7:45 pm # Reply

i m in 11th can i m eligable for nda .

10. muana February 20, 2012 at 9:53 am # Reply

Hello Sir…
My self Sagar Singh from Varanasi.
I am student of 12th & my subject is Math & Commerce. Can i apply for the NDA examination?
Thanks…

11. vedant patil February 23, 2012 at 8:07 am # Reply

sir,
I have not received the details of examination, I have applied on-line for NDA on 31/10/2010.
Please update me, my number is 91-9503631602

Yours faithfully
Vedant Patil

12. kunal sharma February 28, 2012 at 9:02 pm # Reply

sir when will i recieve my admit card registration no 11208851379

13. balamurugan March 7, 2012 at 11:57 pm # Reply

hai i am ready to serve my country ,now my age 23 pls help me to join my no.7845367325

14. Dharamveer Goyal March 11, 2012 at 4:37 pm # Reply

Sir,
kindly sent me the name list of cities where the NDA exam is taken
and when will be the forms for NDA-2 for 2012 will available in post offices.
my no. is 9914720193.

15. Yugandhar Parashar March 13, 2012 at 12:16 am # Reply

hello sir my birthday is 09-04-1996 can i give nda exam.

• UpscExam March 13, 2012 at 11:38 am # Reply

Hi

Please see the details given below :

Only unmarried male candidates born not earlier than 2nd July 1994 and not later than 1st January, 1996 are eligible”. The date of birth accepted by the Union Public Service Commission is that entered in the Matriculation or Secondary School Leaving Certificate or in a certificate recognized by an Indian University as equivalent to Matriculation or in an extract from a Register of Matriculates maintained by a University which must be certified by the proper authority of the University or in the Higher Secondary or an equivalent examination certificates.

16. kishan ml March 16, 2012 at 10:47 am # Reply

where shall we get application form? how much it costs?

• UpscExam March 19, 2012 at 10:54 am # Reply

Hi

Application for NDA Exam 2012 will be available on this UPSC website : http://upsconline.nic.in/. The application for NDA Exam 2012 costs about Rs. 50/-.

17. priyesh shukla March 17, 2012 at 10:44 am # Reply

sir,, I have not got my admit card till now, i have applied NDA online. please help me, my number is 8097829402 thanking you sir

18. SUMIT singh March 18, 2012 at 11:56 am # Reply

sir i dont understand the syllabus please give some hints about the syllabus

19. Jagmohan March 22, 2012 at 10:36 am # Reply

Jai Hind sir mujhe abhi tak mera admitcard nahi mila hai please muje status mere mob no par batya thanku mob 9813831612

20. Mansi March 23, 2012 at 9:51 pm # Reply

what is the eligibility for appearing in nda exam? on clearing the exam, what are the various available fields for making a career in?

21. Saurabh March 24, 2012 at 4:04 pm # Reply

sushant :how 2 check application status????

• UpscExam March 26, 2012 at 10:49 am # Reply

E-Admit Card for NDA Exam is not yet issued, please wait…

22. Saurabh March 24, 2012 at 4:08 pm # Reply

Pls. note that i have not yet received my hall ticket for NDA -I examination which is to be held on 15th April 2012. I had submitted my form by on line my registration id is 11203730486. MayI request you to kindly help me or suggest me where should i contact for hall ticket and my center for the examination. Thanking you,
Saurabh

23. thoran March 29, 2012 at 8:56 am # Reply

sir,when the halltickets will be issued

• UpscExam March 29, 2012 at 10:27 am # Reply

Hi

Please wait and visit : http://upsc.gov.in/exams/exams.htm#Venue%20Information

• UpscExam March 29, 2012 at 11:45 am # Reply

Hi

The eligible candidates shall be issued an e-Admission Certificate three weeks before the commencement of the examination. The e-Admission Certificate will be made available in the UPSC website [www.upsc.gov.in] for downlading by candidates. No Admission Certificate will be sent by post.

If a candidate does not receive his / her e-Admission Certificate or any other communication regarding his / her candidature for the examination three weeks before the commencement of the examination, he / she should at once contact the Commission. Information in this regard can also be obtained from the Facilitation Counter located in the Commissions office either in person or over phone Nos. 011-23385271 / 011-23381125 / 011-23098543. In case no communication is received in the Commission\’s Office from the candidate regarding non-receipt of his / her e-Admission Certificate at least three weeks before the examination, he / she himself/herself will be solely responsible for non-receipt of his / her e-Admission Certificate. No candidate will ordinarily be allowed to take the examination unless he / she holds an e-Admission Certificate for the examination.

On the receipt of e-Admission Certificate, candidates should check it carefully and bring discrepencies / errors if any, to the notice of UPSC immediately. The mere fact that an e-Admission Certificate to the Examination has been issued to a candidate, will not imply that his / her candidature has been finally cleared by the Commission or that entries made by the candidate in his / her application for the examination have been accepted by the Commission as true and correct. Candidates may note that the Commission takes up the verification of eligibility conditions of a candidate, with reference to original documents, only after the candidate has qualified for interview for Personality Test on the results of the Written Examination. Unless candidature is formally confirmed by the Commission, it continues to be provisional.

The decision of the Commission as to the eligibility or otherwise of a candidate for admission to the Examination shall be final. Candidates should note that the name in the e-Admission Certificate in some cases, may be abbreviated due to technical reasons.

Download E-Admit Card for NDA Exam now through online : http://upsc.gov.in/exams/exams.htm#Venue%20Information

24. Harsh April 1, 2012 at 9:28 pm # Reply

Sir,
I have Not taken Maths in my +12. Can i give the exam of NDA??
Please let me know as soon as possible.

Yours faithfully,
Harsh Bhandari

25. karan singh bhati April 4, 2012 at 2:58 pm # Reply

26. AVIJIT CHOWDHURY April 5, 2012 at 2:17 pm # Reply

sir,
Can a Student be selected in NDA if he couldnt pass the 12th exam..?? plz Answer me..

27. Rahul kumar April 12, 2012 at 1:15 am # Reply

sir, after qualifying NDA(I) What will happen in future ???? Is there any type of engineering course happening or not ??????????

28. mayank April 16, 2012 at 8:28 pm # Reply

i have not received my admit card yet

29. sani April 26, 2012 at 2:31 pm # Reply

i didn’t get my admit card. i have applied it online. how to check application status.help me please

30. AMIR SOYEL May 7, 2012 at 10:32 pm # Reply

WHAT IS THE LANGUAGE OF NDA EXAM?
PLEASE SIR GIVE ME THE ANSWERE ITS URGENT

31. suri May 10, 2012 at 2:59 pm # Reply

sir when nda & na (1) 2012 results will be announced…….plz mail me the details to my email account.
suri

32. Aman Anand May 12, 2012 at 2:06 pm # Reply

hello sir,
my self Aman Anand from patna
i am student of class 12th & my subject is physics,chemistry and biology.can i apply for N.D.A.
thanks
JAI HIND

33. Ankur Ashutosh May 13, 2012 at 4:34 pm # Reply

Respected sir,

I want to know the answers of following questions

1.the gap provided between written test and SSB test ?
2.how will you inform about the place allotted for SSB ?

• UpscExam May 14, 2012 at 11:30 am # Reply
34. Ajay May 17, 2012 at 7:45 pm # Reply

Respected Sir
can u tell me ?

how i fill the nda form ?

and when is exam ?

i doing the +2 non-med can i fill the nda form ?

plzzzzzz sir help me my num is 9780918208

35. yadvender May 24, 2012 at 9:15 pm # Reply

i have opted for commerce stream in 12th class..my question is..can i still appear for NDA examinations??is there any eligibilty for such stream holders in NDA???

36. kartik suresh June 4, 2012 at 4:03 pm # Reply

sir,
I didn’t receive my submit card i have applied to nda online
i didn’t get any details of examination please help me my number is 9995546040
thanking you sir
yours faithfully
Kartik

37. sumit June 5, 2012 at 6:49 pm # Reply

i have completed the registration but dont have any idea that when i will the hall ticket and also about the where i m going to write the NDA exam..

38. aditya June 8, 2012 at 11:40 am # Reply

query about nda exam 21aug,2011?

39. vishal June 16, 2012 at 5:37 pm # Reply

jai hind

40. jatin rana June 18, 2012 at 3:28 pm # Reply

sir,
this is to kindly inforn that i jatin rana of 12th will be appearing for nda exams this year so kindly tell me from where do i get the sampel papers for my practice. I will be highly oblidged for your feedback.
Thanking u,
jatin rana

41. PRATIK June 22, 2012 at 5:22 pm # Reply

What about my admit card? As exam. on 21st AUGUST.

42. vaibhav negi July 5, 2012 at 12:29 pm # Reply

when will be the written results of nda1 2012 declared

43. barkat ali August 13, 2012 at 1:02 pm # Reply

sir i am the student of 12 my age is19 (183\1993) till now i want to ask that i am eligibale for the nda exam of 2012-2013 or not plzzzzzzzzzz inform me on my no (9990575505-8285833089) or email id jamshedmalikk@gmail.com

44. vaibhav August 13, 2012 at 8:53 pm # Reply

i have not got my admit card….plz tell when it will reach…only one weeek is remaining…..

45. Sagar November 25, 2012 at 8:31 am # Reply

Hello Sir…
My self Sagar Singh from Varanasi.
I am student of 12th & my subject is Math & Commerce. Can i apply for the NDA examination?
Thanks…

• UpscExam November 25, 2012 at 11:36 am # Reply

Hi

Pls see the details given below :

National Defence Academy NDA & NA Exam (I) Educational Qualifications :

1. for Army wing of National Defence Academy : 12th Class pass of the 10+2 pattern of School Education or equivalent examination conducted by a State Education Board or a University.

2. For Air Force and Naval Wings of National Defence Academy and for the 10+2 Cadet Entry Scheme at the Indian Naval Academy : 12th Class pass of the 10+2 pattern of School Education or equilvalent with Physics and Mathematics conducted by a State Education Board or a University.

Candidates who are appearing in the 12th Class under the 10+2 pattern of School Education or equivalent examination can also apply for NDA examination.

Regards.

46. Akash February 16, 2013 at 8:23 am # Reply

I have applied for NDA Exam-2013..At What time the Exam will commence on 14 April 2013 at Chennai? I understand there are Two papers, each 2.5 Hrs of duration..I have to book the Train Reservation…Kindly help in intimating the location and start, end time of Exams. Thank you.

47. shashank May 26, 2013 at 10:16 pm # Reply

hi entered wrong educational qualification in my part 1 registration and also completed my part 2 registration. can i change my educational qualificationn nw??