CDS Syllabus 2021

Mode of exam | Offline |

Number of sections | Indian Military Academy (IMA), Indian Naval Academy (INA), and Air Force Academy (AFA) – Three Officers’ Training Academy (OTA) – Two |

Total marks of the test | IMA, INA, and AFA – 300 OTA – 200 |

Nature of questions | Objective type |

CDS 2 Exam Date | 14th November 2021 |

Language of question paper | Hindi and English |

Duration of the test | 2 hours for each section of the test |

CDS Exam pattern for IMA, INA, AFA

Subject | Duration | Maximum marks |
---|---|---|

English | 2 hours | 100 |

General Knowledge | 2 hours | 100 |

Elementary Mathematics | 2 hours | 100 |

CDS Exam Pattern for OTA

Subject | Duration | Maximum marks |
---|---|---|

English | 2 hours | 100 |

General Knowledge | 2 hours | 100 |

CDS Syllabus 2021: Subject-Wise Syllabus

**English**

*****Spotting Errors Questions*****Sentence Arrangement Questions*****Synonyms & Antonyms*****Selecting Words*****Ordering of Sentence*****Comprehension Questions*****Ordering of words in a sentence*****Fill in the blanks questions*****Idioms and Phrases

**General Awareness**

*****Economics*****Physics*****Current Affairs*****Politics*****Chemistry*****Sociology*****History*****Defence related Award*****Geography*****Environment*****Sport*****Biology*****Cultural*****Book*****Statement*****true/false

**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 inequations in two variables and their solutions*****Practical problems leading to two simultaneous linear equations or inequations in two variables or quadratic equations in one variable & their solutions*****Set language and set notation*****Rational expressions and conditional identities*****Laws of indices

**Arithmetic**

*****Number System: Natural numbers, Integers, Rational and Real numbers.*****Fundamental operations: addition, substraction, 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

Trigonometry

*****Sine ×, cosine ×, Tangent × when 0° < × < 90°*****Values of sin ×, cos × and tan ×, for ×= 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 Properties of angles at a point*****Parallel lines*****Sides and angles of a triangle*****Congruency of triangles*****Similar triangles*****Concurrence of medians and altitudes*****Properties of angles*****sides and diagonals of a Parallelogram*****rectangle and square*****Circles and its properties including tangents and normals*****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

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