Hey!!!! As you want to join Indian Navy after B Tech then you should apply for Combined Defence Services Examination

Combined Defence Services Examination s conducted twice a year by the Union Public Service Commission for recruitment into the Indian Military Academy, officers Training Academy, Indian Naval Academy and Indian Air Force Academy.

Eligibility for Indian Naval Academy is
Nationality: A candidates must either be:
(i) a Citizen of India, or
(ii) a subject of Bhutan, or
(iii) a subject of Nepal, or
(iv) a Tibetan refugee who came over to India before the 1st January, 1962 with the intention of permanently setting in India, or
(v) a person of India origin who has migrated from Pakistan, Burma, Sri Lanka and East African Countries of Kenya, Uganda, the United Republic of Tanzania, Zambia, Malawi, Zaire and Ethiopia or Vietnam with the intention of permanently setting in India. Provided that a candidate belonging to categories (ii), (iii),
(iv) and (v) above shall be a person in whose favour a certificate of eligibility has been issued by the Govt of India
Certificate of eligibility will, however, not be necessary in the case of candidates who are Gorkha subjects of Nepal
A candidates in whose case a certificate of eligibility is necessary, may be admitted to the examination provisionally subject to the necessary certificate being given to him/her by the Govt. before declaration of result by UPSC

Age limit:
19-22 years

Academic Qualification:
Degree in Engineering from a recognized university/institution.

Exam Pattern:

Subject Duration Maximum Marks

English 2 Hours 100

General Knowledge 2 Hours 100

Elementary Mathematics 2 Hours 100


Syllabus:

PAPER – 1: ENGLISH:
The question paper will be designed to test the candidates’ understanding of English and workmanlike use of words.

PAPER – 2: GENERAL KNOWLEDGE:
General Knowledge including knowledge of current events and of such matters of everyday observation and experience in their scientific aspects as may be expected of an educated person who has not made a special study of any scientific subject. The Paper will also include questions on History of India and Geography of a nature which Candidate should be able to answer without special study.

PAPER – 3: ELEMENTARY MATHEMATICS:
Arithmetic:Number System-Natural numbers, Integers, Rational and Real numbers. Fundamental Operations addition, subtraction, multiplication, division, Square roots, Decimal, fractions. Unitary method, time and distance, time and work, percentages, applications to simple and compound interest, profit and loss, ratio and proportion, variation.
Elementary Number Theory- Division algorithm. Prime and composite numbers. Tests of divisibility by 2, 3,4,5,9 and 11. Multiples and factors. Factorisation Theorem. H.C.F. and L.C.M. Euclidean algorithm, Logarithms to base 10, laws of logarithms, use of logarithmic tables.

ALGEBRA
Basic Operations, simple factors, Remainder Theorem, H.C.F., L.C.M. Theory of polynomials, Solutions of quadratic equations, relation between its roots and coefficients (Only real roots to be considered). Simultaneous linear equations in two unknowns-analytical and graphical solutions. Simultaneous linear in equations in two variables and their solutions. Practical problems leading to two simultaneous linear equations or in equations in two Variables or quadratic equations in one variable & their solutions. Set language and set notation, rational expressions and conditional identities, Laws of indices.

TRIGONOMETRY
Sine x, cosine x, Tangent x when 0 <x < 90 Values of sin x, cos x and tan x, for x = 0, 30, 45, 60 and 90
Simple trigonometric identities.
Use of trigonometric tables.
Simple cases of heights and distances.

GEOMETRY
Lines and angles, Plane and plane figures, Theorems on (i) Properties of angles at a Point(ii) Parallel lines, (iii) Sides and angles of a triangle, (iv) Congruency of triangles, (v) Similar triangles, (vi) Concurrence of medians and altitudes, (vii) Properties of angles, sides and diagonals of a parallelogram, rectangle and square (viii) Circles and its properties including tangents and normal, (ix) Loci.

MENSURATION
Areas of squares, rectangles, parallelograms, triangle and circle. Areas of figures which Can be split up into these figures (Field Book), Surface area and volume of cuboids, lateral surface and volume of right circular cones and cylinders, surface area and Volume of spheres.

STATISTICS
Collection and tabulation of statistical data, Graphical representation, frequency Polygons, histograms, bar charts, pie charts etc. Measures of central tendency.