Rajasthan Police Constable cheat sheet

The Constitution of India was adopted on 26 November 1949 and came into force on 26 January 1950.

The President of India is elected by an electoral college comprising elected members of both Houses of Parliament and elected members of State Legislative Assemblies.

The Nobel Prize is awarded in six categories: Physics, Chemistry, Medicine, Literature, Peace, and Economic Sciences.

The headquarters of the United Nations is in New York City; its principal organs include the General Assembly, Security Council, and Secretariat.

The Chief Election Commissioner of India is appointed by the President and has a tenure of six years or until age 65, whichever is earlier.

The National Human Rights Commission (NHRC) was established in 1993 under the Protection of Human Rights Act.

The Reserve Bank of India was nationalized in 1949 and is headquartered in Mumbai.

The 'Global Hunger Index' is published by Concern Worldwide and Welthungerhilfe; India has consistently ranked in the 'serious' category.

The G20 was founded in 1999; India hosted the G20 summit in 2023 in New Delhi.

Rajasthan was formed on 30 March 1949 as 'Rajasthan Union'; it was renamed Rajasthan on 26 January 1950.

The Aravalli Range is the oldest fold mountains in the world and divides Rajasthan into eastern fertile plains and western arid region.

The Thar Desert covers about 61% of Rajasthan's area; the Indira Gandhi Canal is the longest canal in India and irrigates the desert districts.

Mount Abu is the highest peak in the Aravalli Range (1,722 m) and the only hill station in Rajasthan.

The Battle of Haldighati (1576) was fought between Maharana Pratap and the Mughal forces led by Man Singh I.

Rajasthan's folk dance 'Ghoomar' is performed by women of the Bhil tribe; 'Kalbelia' is a snake-charmer dance included in UNESCO's intangible cultural heritage list.

The Rajasthan Legislative Assembly has 200 seats; the state sends 25 members to the Lok Sabha and 10 to the Rajya Sabha.

The Rajasthan Canal (Indira Gandhi Canal) starts from Harike Barrage in Punjab and enters Rajasthan at Hanumangarh.

Major minerals of Rajasthan include zinc (Zawar), copper (Khetri), marble (Makrana), and gypsum (Nagaur).

Average of n numbers = sum of numbers / n; if each number is increased by k, the average increases by k.

Profit percentage = (Profit / Cost Price) × 100; Selling Price = Cost Price × (100 + Profit%) / 100.

Simple Interest = (Principal × Rate × Time) / 100; Compound Interest = Principal × [(1 + Rate/100)^Time − 1].

Speed = Distance / Time; to convert km/h to m/s, multiply by 5/18.

Work done in 1 day = 1 / number of days; if A and B together finish in x days, their combined one-day work is 1/x.

Area of a circle = πr²; circumference = 2πr; area of a triangle = ½ × base × height.

The sum of the first n natural numbers = n(n+1)/2; sum of squares = n(n+1)(2n+1)/6.

In a right-angled triangle, Pythagoras theorem: hypotenuse² = base² + perpendicular².

Percentage change = (New Value − Old Value) / Old Value × 100.

In a number series, check differences between consecutive terms; if differences are constant, it is an arithmetic progression.

For alphabet series, remember positions: A=1, B=2, ..., Z=26; reverse positions: Z=1, Y=2, ..., A=26.

Blood relation: 'A is the son of B' means A is male; 'A is the sister of B' means A is female.

Direction sense: if a person walks north then turns right, he faces east; turning left from north means facing west.

Coding-decoding: identify the shift pattern (e.g., each letter moved +2 positions) to decode new words.

Syllogism: 'All A are B' and 'All B are C' implies 'All A are C'; 'Some A are B' does not imply 'Some B are A' unless stated.

Seating arrangement: for linear arrangement, note whether people face north or south; for circular arrangement, clockwise/anticlockwise matters.

Calendar: a normal year has 1 odd day, a leap year has 2 odd days; 100 years have 5 odd days, 200 years have 3, 300 years have 1, 400 years have 0.

Cube cutting: a cube painted on all faces and cut into n³ smaller cubes has (n−2)³ cubes with no painted face.

The SI unit of force is the newton (N); 1 N = 1 kg·m/s².

Ohm's law: V = IR, where V is voltage, I is current, and R is resistance.

The pH scale ranges from 0 to 14; pH < 7 is acidic, pH = 7 is neutral, pH > 7 is basic.

The powerhouse of the cell is the mitochondrion; it produces ATP through cellular respiration.

Photosynthesis occurs in chloroplasts; equation: 6CO₂ + 6H₂O → C₆H₁₂O₆ + 6O₂ in the presence of sunlight and chlorophyll.

The human heart has four chambers: two atria and two ventricles; the left ventricle pumps oxygenated blood to the body.

Newton's first law: an object remains at rest or in uniform motion unless acted upon by an external force.

The chemical symbol for sodium is Na (from Latin natrium); potassium is K (from kalium).

Sound travels faster in solids than in liquids and gases; it cannot travel through a vacuum.

हिंदी वर्णमाला में 11 स्वर और 33 व्यंजन होते हैं; 'अ' से 'औ' तक स्वर हैं।

संज्ञा के पाँच भेद हैं: व्यक्तिवाचक, जातिवाचक, भाववाचक, समूहवाचक, और द्रव्यवाचक।

सर्वनाम के छह भेद हैं: पुरुषवाचक, निजवाचक, निश्चयवाचक, अनिश्चयवाचक, प्रश्नवाचक, और संबंधवाचक।

क्रिया के दो भेद हैं: सकर्मक (जिसमें कर्म हो) और अकर्मक (जिसमें कर्म न हो)।

काल के तीन भेद हैं: वर्तमान, भूत, और भविष्यत्; प्रत्येक के चार उपभेद होते हैं (सामान्य, अपूर्ण, पूर्ण, संदिग्ध)।

समास के छह भेद हैं: तत्पुरुष, कर्मधारय, द्विगु, द्वंद्व, बहुव्रीहि, और अव्ययीभाव।

अलंकार के दो प्रमुख भेद हैं: शब्दालंकार (अनुप्रास, यमक, श्लेष) और अर्थालंकार (उपमा, रूपक, उत्प्रेक्षा)।

संधि के तीन भेद हैं: स्वर संधि, व्यंजन संधि, और विसर्ग संधि।

वाक्य के आठ भेद हैं: सरल, संयुक्त, मिश्र, आदेशात्मक, प्रश्नवाचक, विस्मयादिबोधक, निषेधात्मक, और इच्छावाचक।

Parts of speech: noun, pronoun, verb, adjective, adverb, preposition, conjunction, interjection.

Present perfect tense: has/have + past participle; used for actions completed in the past with present relevance.

Active to passive: object becomes subject; verb becomes 'be + past participle'; subject becomes 'by + agent'.

Direct to indirect speech: change pronouns (first person to third), tense (present to past), and time/place words (now → then, here → there).

Articles: 'a' before consonant sounds, 'an' before vowel sounds, 'the' for specific or unique nouns.

Prepositions of time: 'in' for months/years, 'on' for days/dates, 'at' for exact times.

Subject-verb agreement: singular subject takes singular verb; 'each', 'every', 'either', 'neither' take singular verbs.

Common idioms: 'break the ice' (start a conversation), 'once in a blue moon' (very rarely), 'hit the nail on the head' (do exactly the right thing).

Degrees of comparison: positive (tall), comparative (taller), superlative (tallest); use 'than' with comparative and 'the' with superlative.