FCI Assistant Grade III cheat sheet

Percentage change: final = initial × (1 ± r/100); successive changes multiply factors, e.g. +20% then −10% gives ×1.2×0.9 = 1.08.

Simple interest SI = PRT/100; compound interest CI = P[(1+R/100)^T − 1]; for 2 years CI − SI = P(R/100)^2.

Profit/loss: profit% = (SP−CP)/CP×100; discount% = (MP−SP)/MP×100; SP = MP(1−d/100)(1+p/100) when both apply.

Average speed for equal distances = 2xy/(x+y); for equal times = (x+y)/2; relative speed same direction = |a−b|, opposite = a+b.

Time and work: if A does work in a days and B in b days, together = ab/(a+b) days; wages split in ratio of work rates.

Ratio and proportion: if a:b = c:d then ad = bc; compound ratio of a:b and c:d is ac:bd; duplicate ratio of a:b is a²:b².

Permutation nPr = n!/(n−r)!; combination nCr = n!/[r!(n−r)!]; nC0 = nCn = 1; nCr = nC(n−r); circular arrangement of n distinct objects = (n−1)!.

Mensuration: circle area πr², circumference 2πr; sphere volume (4/3)πr³, surface 4πr²; cylinder volume πr²h, curved surface 2πrh; cone volume (1/3)πr²h, slant l = √(r²+h²).

Probability P(E) = favourable/total, 0 ≤ P ≤ 1; P(A∪B) = P(A)+P(B)−P(A∩B); independent events P(A∩B) = P(A)P(B).

Blood relations: draw a family tree with symbols; vertical line = parent-child, horizontal = siblings/spouse; never assume gender from a name alone.

Direction sense: use a coordinate grid; net displacement = √(Σx² + Σy²); left/right turns reverse when facing south.

Coding-decoding: check letter-position shifts (A=1 … Z=26) first; if no pattern, test reversal, then positional sum/difference of letters.

Syllogism: use Venn diagrams; 'All A are B' does not imply 'All B are A'; 'Some A are not B' is not equivalent to 'No A is B'.

Series: for number series check differences, then ratios, then alternating/prime/square/cube patterns; for letter series check +1, +2, +3 or reverse alphabet.

Seating arrangement: fix the circular table with clockwise/anticlockwise notation; for linear rows, left/right depends on the direction each person faces.

Analogy and classification: identify the relation type (part-whole, cause-effect, worker-tool, synonym/antonym) before selecting the pair.

Ranking: if a person is nth from left and mth from right in a row of N, then N = n + m − 1; total = (rank from left) + (rank from right) − 1.

Statement–assumption/conclusion: an assumption is unstated but necessary; a conclusion must follow from the statement alone, not from general knowledge.

Subject-verb agreement: singular subject takes singular verb; 'one of + plural noun' takes singular verb (One of the boys is here).

Articles: 'a' before consonant sound, 'an' before vowel sound (an hour, a university); 'the' for unique or previously mentioned nouns.

Tenses: present perfect (has/have + past participle) for past action with present relevance; past perfect (had + past participle) for the earlier of two past actions.

Prepositions: 'since' with a point of time, 'for' with a duration; 'between' for two, 'among' for more than two.

Active to passive: object becomes subject, verb becomes be + past participle, agent introduced by 'by'; keep tense consistent.

Direct to indirect speech: change pronouns (first person to subject, second to object), shift tense one step back, change time/place words (now→then, here→there).

Idioms and phrases: 'a piece of cake' = very easy; 'once in a blue moon' = very rarely; 'to let the cat out of the bag' = reveal a secret.

Hindi grammar: संधि (sandhi) joins two sounds (स्वर, व्यंजन, विसर्ग); समास (samas) types include तत्पुरुष, कर्मधारय, द्वंद्व, बहुव्रीहि, अव्ययीभाव.

Hindi spelling and vocabulary: distinguish तत्सम (Sanskrit-derived), तद्भव (evolved), देशज (local) and विदेशी (loan) words; use standard Devanagari matras correctly.

Indian Constitution: adopted 26 November 1949, came into force 26 January 1950; Dr B. R. Ambedkar chaired the Drafting Committee.

Fundamental Rights are in Part III (Articles 12–35); Directive Principles in Part IV (Articles 36–51); Fundamental Duties in Part IVA (Article 51A, added by 42nd Amendment 1976).

FCI: Food Corporation of India, a statutory body under the Food Corporation Act 1964, under the Department of Food and Public Distribution, Ministry of Consumer Affairs, Food and Public Distribution.

Minimum Support Price (MSP) is recommended by the Commission for Agricultural Costs and Prices (CACP) and announced by the Union Government.

National Food Security Act 2013 covers priority households and Antyodaya Anna Yojana households; implemented through the Public Distribution System.

Current affairs: track RBI monetary policy repo rate, Union Budget, GDP growth estimates, and major sports and award winners for the exam year.

Geography: Tropic of Cancer passes through 8 Indian states; Standard Meridian of India is 82°30′E passing through Mirzapur (Uttar Pradesh).

Science basics: SI unit of force is newton, of pressure pascal, of power watt; speed of light in vacuum ≈ 3×10^8 m/s.

Awards and institutions: Nobel Prize, Bharat Ratna, Padma awards; UN, WHO, IMF, World Bank headquarters (New York, Geneva, Washington DC, Washington DC).

Computer generations: 1st vacuum tubes, 2nd transistors, 3rd integrated circuits, 4th microprocessors, 5th artificial intelligence.

Memory units: 1 byte = 8 bits; 1 KB = 1024 bytes; 1 MB = 1024 KB; 1 GB = 1024 MB; 1 TB = 1024 GB.

Primary memory is RAM (volatile, read/write) and ROM (non-volatile, read-only); secondary storage includes HDD, SSD, pen drive, optical disc.

Shortcut keys: Ctrl+C copy, Ctrl+V paste, Ctrl+X cut, Ctrl+Z undo, Ctrl+Y redo, Ctrl+S save, Ctrl+P print, Ctrl+A select all, Alt+F4 close window.

MS Word: Ctrl+B bold, Ctrl+I italic, Ctrl+U underline; MS Excel: SUM(range), AVERAGE(range), IF(condition, true, false); formulas start with '='.

Networking: LAN is local, WAN is wide; IP address identifies a device, DNS translates domain names to IP addresses; HTTP/HTTPS are web protocols.

Operating system functions: process management, memory management, file system management, device management, and user interface.

Cyber safety: use strong unique passwords, enable two-factor authentication, avoid clicking unknown links (phishing), keep software updated.

Database basics: a table has rows (records) and columns (fields); primary key uniquely identifies a row; SQL SELECT retrieves data.

Accounts: accounting equation Assets = Liabilities + Capital; double-entry system debits equal credits; trial balance checks arithmetic accuracy, not fraud.

Accounts: depreciation methods - straight line = (Cost − Salvage)/Useful life; written down value = fixed percentage on reducing book value.

Accounts: working capital = current assets − current liabilities; current ratio = current assets/current liabilities; quick ratio excludes inventory.

Civil Engineering: concrete mix M20 means characteristic compressive strength 20 N/mm² at 28 days; water-cement ratio controls strength and workability.

Electrical Engineering: Ohm's law V = IR; power P = VI = I²R = V²/R; in series resistances add, in parallel conductances add (1/R = Σ1/Ri).

Mechanical Engineering: stress = force/area; strain = change in length/original length; Young's modulus = stress/strain; 1 N/mm² = 1 MPa.

Laboratory: molarity = moles of solute/litre of solution; normality = gram-equivalents/litre; dilution M1V1 = M2V2; pH = −log[H+].

Laboratory safety: always add acid to water (not water to acid); use fume hood for volatile reagents; know location of fire extinguisher and eyewash.

Hindi (discipline): संज्ञा के भेद - व्यक्तिवाचक, जातिवाचक, भाववाचक, समूहवाचक, द्रव्यवाचक; क्रिया के भेद - सकर्मक, अकर्मक, प्रेरणार्थक, संयुक्त।