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CDS Complete Guide

English, GK (Polity, History, Geography, Science), and Elementary Mathematics for CDS

EnglishIndian PolityHistoryGeographyScience & TechElementary MathsDefence Awareness
📋 PYQs Available:
2023202220212020
Expert Content

CDS (Combined Defence Services) Exam

Why This Chapter Matters

CDS is conducted by UPSC twice a year for entry into Indian Army, Navy, and Air Force. Three papers: English (100 marks), General Knowledge (100 marks), Elementary Mathematics (100 marks). This guide covers the pattern and key content.

CDS Exam Structure

For IMA, INA, AFA:

English: 100 marks, 120 questions
General Knowledge: 100 marks, 120 questions
Elementary Mathematics: 100 marks, 100 questions

For OTA (Officers Training Academy):

English: 100 marks only
General Knowledge: 100 marks only
No Mathematics

Negative marking: 1/3 mark deducted for wrong answer.

Paper 1 — English

Key Grammar Topics

Same as NDA English but at a slightly higher level.

Spotting Errors: Read the sentence, identify which underlined part has grammatical error.

Sentence Arrangement (Para Jumbles): Rearrange sentences to form coherent paragraph. Find opener (no pronoun dependency), use connectors (however, therefore, moreover) as clues.

Fill in the Blanks: Vocabulary + grammar. Context determines the correct word.

Comprehension Passages: 4-5 questions per passage. Main idea, inference, vocabulary.

Ordering of Words: Arrange jumbled words to make correct sentence.

Synonyms and Antonyms: High-frequency vocabulary from previous years.

Important Vocabulary for CDS

Formal/Legal vocabulary: Abate, Abrogate, Adjudicate, Acquiesce, Ameliorate, Amicable, Approbation, Auspicious

Military vocabulary: Sortie, Reconnaissance, Debriefing, Deployment, Echelon, Flank, Ordnance, Salvo

Paper 2 — General Knowledge

Indian and World History

Key focus for CDS: Modern India (British era to Independence) and Post-Independence India

Post-independence India:

First President: Dr. Rajendra Prasad

First PM: Pandit Jawaharlal Nehru

First General Election: 1952

Republic Day: 26 January 1950 (Constitution came into force)

Wars fought by India:

1947-48: First Kashmir War

1962: Sino-Indian War (China attacked)

1965: Indo-Pakistan War

1971: Bangladesh Liberation War (creation of Bangladesh, Shimla Agreement 1972)

1999: Kargil War (Pakistan-backed infiltration, Operation Vijay)

Indian Constitution and Polity

Key facts:

Constitution drafted by: Constituent Assembly chaired by Dr. B.R. Ambedkar (drafting committee chairman)

Constitution adopted: 26 November 1949 | Came into force: 26 January 1950

Total articles: 448 (originally 395), 12 schedules, 104 amendments (as of 2023)

Longest constitution in the world.

Fundamental Rights (Part III, Articles 12-35):

1.Right to Equality (Art 14-18)
2.Right to Freedom (Art 19-22)
3.Right against Exploitation (Art 23-24)
4.Right to Freedom of Religion (Art 25-28)
5.Cultural and Educational Rights (Art 29-30)
6.Right to Constitutional Remedies (Art 32) — "Heart and Soul of Constitution" (Ambedkar)

Directive Principles (Part IV): Non-justiciable but fundamental to governance.

Fundamental Duties (Part IVA, Art 51A): Added by 42nd Amendment.

Parliament:

Rajya Sabha: Upper house, 250 members max (238 elected + 12 nominated), 6-year terms

Lok Sabha: Lower house, 552 members max, 5-year term

Money Bill: originates only in Lok Sabha

Emergency provisions: National Emergency (Art 352), State Emergency/President's Rule (Art 356), Financial Emergency (Art 360)

Science and Technology

Space technology:

ISRO founded: 1969 | Chairman: S. Somnath (current)

Key missions: Chandrayaan-1(2008), Chandrayaan-2(2019), Chandrayaan-3(2023, successful south pole landing), Mangalyaan/Mars Orbiter(2013-2022), Gaganyaan (upcoming human spaceflight)

Nuclear technology:

India's nuclear doctrine: No First Use (NFU) policy

Nuclear power plants: Tarapur (1st), Kudankulam (largest), Kaiga, Rawatbhata

Defence technology:

DRDO: Defence Research and Development Organisation

Missiles: Agni (ICBM), Prithvi (short-range), BrahMos (supersonic cruise), Astra (air-to-air), Akash (surface-to-air)

Fighter jets: HAL Tejas (indigenous), Rafale (from France), Sukhoi-30

Naval: INS Vikrant (1st indigenous aircraft carrier, commissioned 2022), INS Vikramaditya

Paper 3 — Elementary Mathematics

Key Topics

Number System: HCF, LCM, divisibility rules, fractions, decimals

Algebra: Equations (linear, quadratic), polynomials, progressions

Trigonometry: Ratios, identities, heights and distances

Geometry: Triangles, circles, polygons, 3D shapes

Mensuration: Area, perimeter, volume of all standard shapes

Statistics: Mean, median, mode, range

Data Interpretation: Tables, bar graphs, pie charts

High-Yield Topics for CDS Maths

Mensuration formulas:

Cylinder: CSA=2πrh, Volume=πr^2h

Cone: CSA=πrl (l=slant height), Volume=(1/3)πr^2h

Sphere: TSA=4πr^2, Volume=(4/3)πr^3

Frustum: Volume=(πh/3)(R^2+r^2+Rr)

Time and Work:

If A takes a days and B takes b days: Together = ab/(a+b) days

Simple and Compound Interest:

SI = PRT/100 | CI: A = P(1+R/100)^T | CI-SI = P(R/100)^2 for 2 years

PYQs (CDS)

CDS 2023 (English): Arrange in correct sequence: P(The police) Q(have arrested) R(the thief) S(who had) T(stolen the car)

Correct: P-Q-R-S-T = "The police have arrested the thief who had stolen the car."

CDS 2022 (GK): Operation Vijay was conducted in:

Kargil (1999) — to evict Pakistani-backed intruders from Kargil heights.

CDS 2021 (Maths): A train 150m long passes a pole in 15 seconds. Its speed in km/h?

Speed = 150/15 = 10 m/s = 10 × 18/5 = 36 km/h.

Revision Notes

CDS EXAM:
IMA/INA/AFA: English + GK + Maths (100+100+100 = 300 marks)
OTA: English + GK only (100+100 = 200 marks)
Negative marking: -1/3 per wrong answer

INDIA'S WARS:
1947-48: 1st Kashmir War | 1962: Sino-Indian War
1965: Indo-Pak War | 1971: Bangladesh Liberation War
1999: Kargil War (Operation Vijay)

CONSTITUTION KEY FACTS:
Adopted: 26 Nov 1949 | Effective: 26 Jan 1950
448 articles (currently) | 12 Schedules
Fundamental Rights: Art 12-35 | Art 32 = Constitutional Remedies (Heart & Soul)
Art 356: President's Rule | Art 352: National Emergency

SPACE MISSIONS:
Chandrayaan-3: 2023 (south pole, successful)
Mangalyaan: 2013-2022
Gaganyaan: upcoming human spaceflight

DEFENCE SYSTEMS:
Missiles: Agni(ICBM), BrahMos(cruise), Astra(air-air), Akash(surface-air)
Aircraft: Tejas(indigenous LCA), Rafale, Sukhoi-30MKI
Naval: INS Vikrant(indigenous carrier, 2022), INS Vikramaditya

ELEMENTARY MATHS QUICK FORMULAS:
Speed = D/T | SI=PRT/100 | Together=ab/(a+b)
Sphere TSA=4πr^2 | Cone CSA=πrl | Cylinder V=πr^2h
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