FCI Assistant Grade III flashcards

32 cards. Read the term and the definition here. The deck at the top of this page is optional.

Successive percentage change

Two successive changes of a% and b% are equivalent to a single change of a + b + ab/100 percent. A 20% increase followed by 10% decrease gives 20 − 10 − 200/100 = 8% net increase.

CI minus SI for 2 years

For principal P and rate R percent per annum, compound interest minus simple interest over 2 years equals P(R/100)^2. For 3 years the difference is P(R/100)^2 × (3 + R/100).

Average speed equal distances

When equal distances are covered at speeds x and y, average speed is 2xy/(x+y), the harmonic mean. When equal times are spent, average speed is the arithmetic mean (x+y)/2.

Work together formula

If A alone finishes work in a days and B alone in b days, working together they finish in ab/(a+b) days. Their one-day work rates are 1/a and 1/b, which add.

nCr and nPr

Permutation nPr = n!/(n−r)! counts ordered selections; combination nCr = n!/[r!(n−r)!] counts unordered selections. nCr = nPr/r!, and nC0 = nCn = 1.

Cone slant height

For a right circular cone of radius r and height h, slant height l = √(r² + h²). Curved surface area is πrl, total surface area πr(l+r), volume (1/3)πr²h.

Rank from both ends

If a person is nth from the left and mth from the right in a row, total number of persons N = n + m − 1. Rearranged, rank from right = N − rank from left + 1.

Syllogism All-Some rules

From 'All A are B' and 'All B are C' follows 'All A are C'. From 'All A are B' and 'Some B are C' no definite conclusion about A and C follows.

Circular arrangement count

The number of ways to arrange n distinct objects around a circle is (n−1)!. If clockwise and anticlockwise arrangements are considered identical (as with a necklace), divide by 2.

Blood relation notation

In family-tree diagrams, a vertical line means parent-child and a horizontal line means siblings or spouse. Gender is marked explicitly, since names alone do not indicate it.

Direction sense net displacement

Resolve each movement into north-south and east-west components. Net displacement magnitude is √(Σx² + Σy²), where Σx and Σy are net east and net north components.

Present perfect tense use

The present perfect (has/have + past participle) describes a past action with present relevance or an action continuing to now. Use 'since' for a starting point and 'for' for a duration.

Active to passive voice

The object becomes the subject, the verb becomes a form of 'be' plus past participle, and the original subject follows 'by'. Tense and number must be preserved in the transformation.

Articles a an the

Use 'a' before a consonant sound and 'an' before a vowel sound, decided by sound not spelling (an hour, a university). Use 'the' for unique, specific, or previously mentioned nouns.

Hindi samas types

समास के मुख्य भेद: तत्पुरुष (पूर्वपद विभक्ति लुप्त), कर्मधारय (विशेषण-विशेष्य), द्वंद्व (दोनों पद प्रधान), बहुव्रीहि (अन्य पदार्थ प्रधान), अव्ययीभाव (पूर्वपद अव्यय)।

Direct to indirect speech

Change first-person pronouns to match the reporting subject and second-person to the object, shift tense one step back, and change time and place words such as now to then and here to there.

FCI statutory status

The Food Corporation of India is a statutory body created under the Food Corporation Act 1964. It functions under the Department of Food and Public Distribution, Ministry of Consumer Affairs, Food and Public Distribution.

MSP recommending body

The Commission for Agricultural Costs and Prices recommends Minimum Support Prices, which the Union Government announces. MSP protects farmers against a sharp fall in market prices for notified crops.

Constitution adoption dates

The Constitution of India was adopted by the Constituent Assembly on 26 November 1949 and came into force on 26 January 1950. Dr B. R. Ambedkar chaired the Drafting Committee.

Fundamental Rights and Duties

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

Standard Meridian of India

India's Standard Meridian is 82 degrees 30 minutes east longitude, passing near Mirzapur in Uttar Pradesh. Indian Standard Time is 5 hours 30 minutes ahead of Greenwich Mean Time.

Memory unit conversions

One byte equals 8 bits. One kilobyte equals 1024 bytes, one megabyte equals 1024 kilobytes, one gigabyte equals 1024 megabytes, and one terabyte equals 1024 gigabytes in binary units.

RAM versus ROM

RAM is volatile read-write primary memory that loses data on power off. ROM is non-volatile read-only memory that retains firmware such as the BIOS even when the computer is switched off.

Common keyboard shortcuts

Ctrl+C copies, Ctrl+V pastes, Ctrl+X cuts, Ctrl+Z undoes, Ctrl+Y redoes, Ctrl+S saves, Ctrl+P prints, Ctrl+A selects all, and Alt+F4 closes the active window.

DNS and IP address

An IP address uniquely identifies a device on a network. DNS, the Domain Name System, translates human-readable domain names into IP addresses so browsers can reach servers.

Phishing safety rule

Phishing messages imitate trusted senders to steal credentials. Do not click unknown links or attachments; verify the sender, type web addresses directly, and enable two-factor authentication.

Accounting equation

Assets equal Liabilities plus Capital. Every transaction keeps this equation balanced under double entry, where total debits equal total credits and a trial balance tests arithmetic accuracy only.

Straight-line depreciation

Annual straight-line depreciation equals (Cost minus Salvage value) divided by Useful life in years. The written-down-value method instead applies a fixed percentage to the reducing book value each year.

Current and quick ratio

Current ratio equals current assets divided by current liabilities. Quick ratio equals quick assets (current assets minus inventory and prepaid expenses) divided by current liabilities, testing short-term liquidity.

Concrete grade M20

In concrete designation M20, M stands for mix and 20 is the characteristic compressive strength in newtons per square millimetre at 28 days. The water-cement ratio strongly controls strength.

Ohm's law and power

Ohm's law states V equals I times R. Electrical power P equals V times I, also I squared times R or V squared divided by R. In series resistances add; in parallel their reciprocals add.

Stress strain Young's modulus

Stress is force divided by cross-sectional area, and strain is change in length divided by original length. Young's modulus is stress divided by strain within the elastic limit, measured in pascals.