careerairforce.nic.in AFCAT Syllabus Air Force Common Admission Test

Organisation : Indian Air Force
Exam Exam : Air Force Common Admission Test (AFCAT)
Announcement : Syllabus
Website : https://careerairforce.nic.in/afcat-syllabus

Indian Air Force AFCAT Syllabus

English :
Comprehension, Detect Error in Sentence, Sentence Completion/ Filling in of correct word, Synonym/ Antonym, Cloze Test or Fill in the Gaps in a paragraph, Idioms and Phrases, Analogy, Sentence Rearranging, Substitution in a Sentence/ One Word Substitution.

General Awareness :
History, Geography, Sports, National & International Organisations, Art & Culture, Personalities, Environment & Ecology, Indian Polity, Economy, Basic Science Based Knowledge, Science & Technology, Current Affairs (National & International), Defence.

Numerical Ability :
Decimal Fraction, Time and Work, Average/ Percentage, Profit & Loss, Ratio & Proportion, Simple and Compound Interest, Time & Distance and Races (Trains/ Boats & Streams), Area and Perimeter, Probability, Number System & Number Series, Mixture & Allegation Rules, Clocks.

Reasoning and Military Aptitude Test :
Verbal and Non-Verbal Reasoning.

Note: No AFCAT for NCC Special Entry candidates.

General Aspects of AFCAT

Duration : 02 Hours
No. of Questions : 100
Max Marks : 300

i. The Online examination will consist of objective type questions and will be in English only for AFCAT.

ii. Marking Scheme as follows:-
** Three marks will be awarded for every correct answer.
** One mark will be deducted for every incorrect answer.
** No marks for unattempted questions.

iii. Questions will be based on the metric system of Weights Measures wherever applicable.
iv. Candidates are required to appear for the Online AFCAT in person. Under no circumstance will any scribe or another candidate be allowed to appear/ assist in the exam.
v. Air Force has the discretion to fix qualifying marks in any or all the subjects of the examination.

NDA Syllabus

MATHEMATICS :
ALGEBRA :
Concept of set, operations on sets, Venn diagrams. De Morgan laws, Cartesian product, relation, equivalence relation. Representation of real numbers on a lin. Complex numbers-basic properties, modules, 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 in equations of two variables by graphs. Permutation and Combination. Binominal theorem and its applications. Logarithms and their applications.

MATRICES AND DETERMINATS :
Types of matrices, operations on matrices. Determinant of a matrix, basic properties of determinants. Adjoin and inverse of a square matrix, Applications-Solution of a system of linear equations in two three unknown by Cramer’s rule and by Matrix Method.

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-Heights 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. 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.

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 to another function, derivative of a composite function. Second

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 fist 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 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.

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.