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NATIONAL DEFENCE ACADEMY (NDA) AND NAVAL ACADEMY (NA) EXAMINATION Exam Analysis and Cut Off's 

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National Defence Academy & Naval Academy Examination (I), 2021 

Recommendation Details and Cut-off Marks 

Minimum qualifying standard at the written stage (out of 900) : 343 (With at least 25% marks in each subject) 

Marks secured by last recommended candidate [Final Stage] (out of 1800) : 709 

TIE - PRINCIPLES

Wherever two or more candidates have secured equal aggregate marks in NDA & NA Examination (I), 2021, the tie (s) have been resolved in accordance with the following principles approved by the Commission, viz

(i) In case of equal marks in aggregate, the candidate senior by age has been placed at higher rank.

(ii) In case of candidates having the same age, the candidate getting more marks in the written examination has been placed at higher rank.

NATIONAL DEFENCE ACADEMY AND NAVAL ACADEMY EXAMINATION
NDA & NA EXAM ANALYSIS AND CUT OFF

A brief Analysis of topic wise NDA & NA questions in Paper I and Paper II is as under

 NDA Paper I - MATHEMATICS ANALYSIS

TOPIC

SUBTOPIC

SUBTOPIC

SUBTOPIC

No. of Qs

 

 

 

 

 

SETS , RELATION AND FUNCTIONS

 

 

 

SETS

 

 

9

 

RELATION AND FUNCTION

 

2

 

VENN DIAGRAM

 

 

2

ALGEBRA

 

 

 

1

 

NUMBER SYSTEM

 

1

 

COMPLEX NUMBER

 

3

 

POLYNOMIAL

 

 

1

 

QUADRATIC EQUATION

 

6

 

SEQUENCE AND SERIES

 

 

 

 

GEOMETRIC PROGRESSION

3

 

MATRICES AND DETERMINANTS

 

1

 

 

ALGEBRA OF MATRICES

3

 

 

 

 

2

 

 

DETERMINANTS

3

 

 

INVERSE OF A MATRIX

1

 

 

LINEAR EQUATIONS

1

 

LOGARITHMS

 

 

2

 

PERMUTATIONS AND COMBINATIONS

1

 

 

PERMUTATIONS

3

 

BINOMIAL THEOREM

 

1

 

BINARY SYSTEM

 

 

2

 

 

 

 

 

TRIGONOMETRY

MEASUREMENT OF ANGLES

 

3

 

 

 

 

 

 

TRIGONOMETRIC RATIO AND IDENTITIES

3

 

 

MULTIPLE  AND SUBMULTIPL   ANGLES 

 

2

 

 

TRIGONOMETRIC  FUNCTIONS OF ANGLES OF ARBITRARY MAGNITUDE

 

1

 

 

COMPOUND ANGLES

 

2

 

TRANSFORMATION FORMULA

 

3

 

INVERSE TRIGONOMETRIC FUNCTION

2

 

PROPERTIES OF TRIANGLE

 

 

2

 

HEIGHT AND DISTANCE

 

 

2

 

 

 

 

 

COORDINATE GEOMETRY

 TWO DIMENS. COORDINATE GEOMETRY.

 

 

 

STRAIGHT LINES

 

3

 

 

 

 

1

 

 

CIRCLE

 

1

 

 

ELLIPSE

 

2

 

THREE DIMENSIONAL COORDINATE GEOMETRY (SOLID GEOMETRY)

FUNDAMENTAL CONCEPT OF 3-D

1

 

 

PLANE

 

3

 

 

STRAIGHT LINES

 

1

 

 

SPHERE

 

1

 

 

 

 

 

VECTORS

 

 

 

 

 

SCALAR PRODUCT OF VECTORS

 

3

 

VECTOR PRODUCT OF VECTORS

 

3

 

 

 

 

 

DIFFERENTIAL CALCULUS

LIMITS

 

 

1

 

CONTINUITY

 

 

1

 

DIFFERENTIABILITY

 

1

 

DIFFERENTIATION

 

2

 

 

FUNDAMENTAL RULES FOR DIFFERENTIATION

 

1

 

 

SOME MORE METHOD OF DIFFERENTIATION

 

2

 

 

 

 

 

 

APPLICATIONS OF DERIVATIVES

 

 

 

 

 

MAXIMA AND MINIMA

 

2

 

 

INCRASING DECREASING

2

 

 

 

 

 

INTEGRAL CALCULUS

INTEGRATION (INDEFINITE INTEGRALS)

2

 

 

 

 

 

 

DEFINITE INTEGRALS

 

2

 

AREA OF CURVES

 

1

DIFFERENTIAL EQUATION

 

 

3

 

 

 

 

 

STATISTICS

DIAGRAMMATIC AND GRAPHIC  PRESENTATION

 

 

1

 

MEASURES OF CENTRAL TENDENCY AND DISPERSON

3

 

 

MEASURES OF DISPERSON

 

 

 

 

MEAN DEVIATION 

1

 

 

 

VARIANCE AND STANDARED DEVIATION

2

 

 

 

 

 

PROBABILITY

 

 

 

2

 

CONDITIONAL PROBABILITY

 

 

1

 

INDEPENDENT EVENTS

 

 

1

 

BAYE’S THEOREM

 

 

1

 

MULTIPICATION RULE

 

 

 

THEORETICAL DISTRIBUTION

 

 

 

 

BINOMIAL DISTRIBUTION

 

 

1

 

 

 

 

 

 

 

 

 

 

 

 

TOTAL 

 

120

NDA Paper II - GENERAL MENTAL ABILITY ANALYSIS

 NDA PART A - ENGLISH ANALYSIS  

TOPICS

 SUBTOPIC

No of Qs

 

 

 

ENGLISH VOCABULARY

 

 

SYNONYMS

8

 

ANTONYMS

8

ENGLISH PROFICIENCY

 

 

ORDERING OF SENTENCES 

7

 

PARA JUMBLE

7

ENGLISH USAGE

 

 

 

SPOTING  ERRORS

11

ENGLISH COMPREHENSION

 

 

READING COMPREHENSION

9

 

 

 

 

TOTAL QUESTIONS

50

 NDA PART - B GENERAL KNOWLEDGE ANALYSIS 

TOPIC

SUBTOPIC

SUBTOPIC

SUBTOPIC

No. of Qs

 

 

 

 

 

GENERAL KNOWLEDGE

 

 

 

 

 

NATIONAL SYMBOLS

1

 

 

BOOKS AND AUTHORES

1

 

 

ART AND CULTURE

 

 

 

 

DANCE

1

 

 

INSTITUTIONS

 

1

GENERAL SCIENCE

 

 

 

 

PHYSICS

PHYSICAL QUANTITIES , STANDARDS AND UNITS

 

 

 

UNIT OF LENGTH

1

 

 

MECHANICS

 

 

 

 

 

WORK , POWER AND ENERGY

2

 

 

PROPERTIES OF MATTER

 

 

 

 

DENSITY

1

 

 

HEAT

 

 

 

 

 

TRANSFER OF HEAT

1

 

 

GRAVITATION

 

1

 

 

WAVE MOTION

 

2

 

 

 

SHM

1

 

 

ELECTROMAGNETIC RADIATION

1

 

 

 

 

1

 

 

 

 

1

 

 

LIGHT

 

2

 

 

STATIC ELECTRICITY

3

 

 

CURRENT ELECTRICITY

2

 

 

ATOMIC PHYSICS

 

 

 

 

EMISSION OF RADIATION

2

 

 

NUCLEAR  PHYSICS

1

 

 

 

 

1

 

 

 

 

 

 

CHEMISTRY

EVER DAY CHEMISTRY

6

 

 

 

 

1

 

 

OXIDATION AND REDUCTION

1

 

 

CARBON AND ITS COMPOUND

1

 

 

 

DIAMOND

1

 

 

NITROGEN AND ITS COMPOUNDS

1

 

 

 

AMMONIA

1

 

 

ACIDS , BASES AND SALTS

1

 

 

METALS

 

 

 

 

 

ALLOYS

1

 

 

THERMODYNAMICS

 

 

 

 

ISOTOPES AND ISOBARS

1

 

 

STRUCTURE OF THE ATOM

1

 

 

NUCLEAR RECTION AND ATOMIC ENERGY

1

 

 

INDUSTRIAL CHEMISTRY

1

 

 

 

 

 

 

 

CLASSIFICATION OF LIVING ORGANISMS

 

 

 

 

CLASSIFICATION OF ANIMAL KINGDOM

1

 

BIOLOGY

NUTRITION

 

1

 

 

 

ENZYMES

1

 

 

 

PLANT NUTRITION ( PHOTOSYNTHESIS)

1

 

 

 

ANIMAL NUTRITION 

1

 

 

GENETIC - THE SCIENCE OF HEREDITY

 

 

 

 

BLOOD 

1

 

 

 

BLOOD GROUP INHERITANCE

1

 

 

HUMAN DISEASES AND DIFENSE MECHANISAM

1

 

 

 

 

1

 

 

ENVIRONMENTAL BIOLOGY

 

 

 

 

ECOSYSTEM

1

 

 

 

POLLUTION

1

 

SCIENTIFIC INSTRUMENTS

 

2

 

 

 

 

 

 

HISTORY

ANCIENT INDIA

 

 

 

 

 

JAINISM AND BUDDHISM

2

 

 

 

BOOKS AND AUTHORS

1

 

 

MEDIAVEL INDIA

 

1

 

 

 

BOOKS AND AUTHORS

1

 

 

MODERN INDIA

 

 

 

 

 

BRITISH POLICIES AND ADMINISTRATION

1

 

 

 

INDIAN NATIONAL ARMY

1

 

 

 

 

 

 

GEOGRAPHY

 

 

 

 

 

THE EARTH ANDS ITS POSITION IN THE SOLAR SYSTEM

4

 

 

 

 

1

 

 

THE ATMOSPHERE

3

 

 

THE LITHOSPHERE

 

 

 

 

VOLCANIC ACTIVITY

1

 

 

ECONOMIC GEOGRAPHY

1

 

 

NATURAL VEGETATION

1

 

 

INDIAN GEOGRAPHY

 

 

 

 

PHYSIOGRAPHY

2

 

 

 

CLIMATE

1

 

 

 

DRAINAGE

2

 

 

 

INDUSTRIES

1

 

 

 

TRANSPORT AND COMMUNICATIONS

1

 

 

 

SETTLEMENTS

1

 

INDIAN POLITY

 

 

 

 

CONSTITUTIONAL DEVELOPMENT

2

 

 

SCHEDULES OF THE CONSTITUTRION

1

 

 

FRAMING OF CONSTITUTION

1

 

 

THE PARLIAMENT

1

 

 

JUDICIARY

 

1

 

 

FINANCE COMMISSION

1

 

 

CONSTITUTIONAL AMENDMENTS

1

 

INDIAN ECONOMY

 

 

 

 

CENSUS AND POPULATION

2

 

 

PUBLIC FINANCE AND FISCAL POLICY

1

 

 

 

 

1

 

CURRENT EVENTS

 

 

 

 

COMMITTEE

 

1

 

 

BUDGET

 

1

 

 

PERSON

 

1

 

 

SPORTS

 

1

 

 

 

 

 

 

 

 

TOTAL

100

 

 

 

 

 

 

 

 

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