CAPF HC Ministerial flashcards

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

Letter position mirror rule

In the English alphabet, each letter's opposite sums to 27 with its own position: A(1) pairs with Z(26), B(2) with Y(25), and M(13) with N(14).

Syllogism validity test

A conclusion is valid only if it holds in every possible Venn arrangement of the premises. One counterexample arrangement makes the conclusion invalid.

Blood relation notation

Draw vertical lines between generations and horizontal lines for siblings or spouses. Gender must come from an explicit word such as father, sister, or wife, never from a name.

Circular arrangement count

For n people around a circle, distinct arrangements equal (n−1)!. If clockwise and anticlockwise orders are treated as different, the count doubles to 2(n−1)!.

Net displacement formula

For direction problems, total east-west and north-south displacements give the shortest distance back to the start as the square root of the sum of their squares.

Number series difference test

Take first differences; if constant, the series is arithmetic. If not, take second differences; constant second differences indicate a quadratic rule involving n squared.

Coding-decoding shift check

Convert letters to numbers and subtract corresponding positions. A constant difference across all letters reveals a fixed-shift code; varying differences suggest positional or reversal rules.

Odd one out relation test

Name the relation linking the majority of options, such as part to whole or tool to user. The odd item is the one that breaks that shared relation.

Article 32 constitutional remedies

Article 32 gives citizens the right to move the Supreme Court directly for enforcement of Fundamental Rights. Ambedkar called it the heart and soul of the Constitution.

Directive Principles Part IV

Articles 36 to 51 contain the Directive Principles of State Policy. They guide government policy but are not enforceable in any court.

42nd Amendment 1976 changes

This amendment added socialist, secular, and integrity to the Preamble, inserted Fundamental Duties in Article 51A, and transferred education and forests to the Concurrent List.

Tropic of Cancer states

The Tropic of Cancer crosses eight Indian states: Gujarat, Rajasthan, Madhya Pradesh, Chhattisgarh, Jharkhand, West Bengal, Tripura, and Mizoram, running roughly east to west.

Monetary Policy Committee target

The six-member RBI committee sets the policy repo rate to keep consumer price inflation at 4 percent, within a flexible band of 2 to 6 percent.

Rajya Sabha composition

The Rajya Sabha may have at most 250 members: up to 238 representing states and union territories, plus 12 nominated by the President for expertise in literature, science, art, or social service.

Quit India Movement date

Launched on 8 August 1942 at the Bombay session of the All India Congress Committee, it demanded an immediate end to British rule in India.

Seven SI base units

The base units are metre, kilogram, second, ampere, kelvin, mole, and candela. All other SI units are derived from combinations of these seven.

Successive percentage change

Two successive changes of a percent and b percent produce a net change of a + b + ab/100. A 20 percent rise then fall leaves a net 4 percent decrease.

Compound interest two-year gap

For two years, compound interest exceeds simple interest by P times the square of R divided by 100, where P is principal and R the annual rate percent.

Average speed equal distances

When equal distances are covered at speeds x and y, average speed equals 2xy divided by (x + y). It is the harmonic mean, never the simple arithmetic average.

Train crossing a platform

A train clears a platform when it covers its own length plus the platform length. Time equals that total distance divided by the train's speed.

Combined work formula

If A alone finishes work in x days and B in y days, working together they finish in xy divided by (x + y) days, since their rates add.

Alligation ratio rule

To mix ingredients at prices cheaper and dearer to reach a mean price, the quantity ratio is (mean minus cheaper) to (dearer minus mean).

Repeated replacement formula

When a vessel of total volume T has r litres removed and replaced n times, the remaining original liquid equals initial quantity times (1 − r/T) raised to n.

Sum of first n squares

The sum of squares of the first n natural numbers is n(n+1)(2n+1) divided by 6. The sum of the first n numbers is n(n+1)/2.

Cone and sphere volumes

A cone's volume is one third of pi times radius squared times height. A sphere's volume is four thirds of pi times radius cubed.

Either-or subject agreement

With either-or and neither-nor, the verb agrees with the subject nearer to it. Collective nouns take a singular verb when the group acts as one unit.

Since versus for

Use since with a specific starting point in time, such as since 2010. Use for with a length of time, such as for three years.

Passive voice formation

Change the object into the subject, use the correct form of be with the past participle, and add the original subject after by. Only transitive verbs passivise.

Indirect speech time shifts

In reported speech, shift present to past and past to past perfect. Change today to that day, tomorrow to the next day, and here to there.

One of the plural rule

The phrase one of the takes a plural noun but a singular verb, as in one of the boys is absent. Each, every, and either are always singular.

Between versus among

Between is used for two distinct items or pairwise relationships. Among is used when three or more items are considered as a group without individual pairing.

Bite the bullet meaning

This idiom means to face a painful or difficult situation with courage and get through it, rather than avoiding the unavoidable hardship.

Comprehension inference rule

Answer only from information stated or logically implied in the passage. An option that is true in general but unsupported by the text is incorrect.