IPMAT Rohtak flashcards

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

Compound interest difference formula

For two years, the gap between compound and simple interest equals P(R/100)^2, where P is principal and R the annual rate. Useful for direct numerical questions.

Train crossing a platform

Time taken equals the sum of train length and platform length divided by the train's speed. To cross a pole or a person, only the train length is used.

Downstream and upstream formulas

Downstream speed is boat speed plus stream speed, upstream is boat speed minus stream speed. Their average gives boat speed in still water, half the difference gives stream speed.

Work together in days

If A finishes in a days and B in b days, together they take ab/(a+b) days. Equivalently, add their one-day work fractions and invert the result.

nCr and nPr

nPr counts ordered selections and equals n!/(n−r)!. nCr counts unordered selections and equals n!/[r!(n−r)!]. nCr is always smaller than or equal to nPr for the same values.

Addition rule of probability

For any two events, P(A or B) equals P(A) plus P(B) minus P(A and B). For mutually exclusive events the intersection term is zero.

Cone slant height relation

The slant height l of a right circular cone satisfies l² = r² + h², where r is base radius and h is height. Curved surface area equals πrl.

Successive percentage change

Two successive changes of a% and b% give a net change of a + b + ab/100 percent. A discount followed by another discount uses the same multiplicative logic.

Syllogism particular premises

Two particular premises can never produce a universal conclusion, and two negative premises produce no valid conclusion. Only a universal premise plus a particular can yield a particular.

Clock hand angle formula

The angle between hour and minute hands equals the absolute value of 30H minus 5.5M degrees, where H is hour and M is minutes. Values above 180 are subtracted from 360.

Circular arrangement fixing method

For n people around a circle, fix one person to remove rotational symmetry, then arrange the rest in (n−1)! ways. If clockwise and anticlockwise are indistinguishable, divide by 2.

Facing-centre left and right

When people face the centre of a circle, a person's left is clockwise and right is anticlockwise. When facing outward, the directions reverse.

Data sufficiency uniqueness test

A statement is sufficient only when it produces exactly one possible answer. If two or more values satisfy the condition, the statement is insufficient.

Letter position coding

Letters map to numbers A=1 through Z=26. Common codes shift each letter by a constant, reverse the alphabet, or use sums of adjacent letter positions.

Net displacement direction sense

After a series of turns, compute total horizontal and vertical movement separately. Straight-line distance from start equals the square root of the sum of their squares.

Blood relation tree notation

Draw generations as horizontal levels and mark gender beside each name. Read the asked relationship from the diagram rather than tracking the paragraph mentally.

Number series checking order

Test first differences, then second differences, then ratios. If differences alternate in sign or size, suspect two interleaved series or a prime-based pattern.

Dangling modifier rule

An introductory participial phrase must describe the subject of the main clause. If it describes something else, the sentence is ill-formed and needs rewriting.

Subject-verb agreement with each

Each, every, either, neither and everyone take singular verbs. None may take singular or plural depending on the noun it refers to.

Parallelism in lists

Elements joined by and, or, but or in a list must share grammatical form. Mixing an infinitive with a gerund in the same list is an error.

Fixed prepositions to memorise

Standard collocations include comply with, differ from, superior to, capable of, insist on and prefer to. These are tested as correctness rather than style preference.

Reading comprehension answer test

The correct option must be directly supported by the passage. Reject options relying on outside knowledge or on extreme words like always and never unless the text states them.

Para jumble opening sentence

The opening sentence is usually general and contains no pronouns or connectors referring backwards. Chain the rest using pronouns, conjunctions and chronological markers.

Much versus many

Much modifies uncountable nouns and many modifies countable plurals. Less pairs with uncountable nouns and fewer with countable plurals.

Vocabulary in context rule

Choose the synonym that preserves the sentence's tone and register. A word with the right meaning but wrong connotation is the typical distractor.

Constitution adoption dates

The Indian Constitution was adopted on 26 November 1949 and came into force on 26 January 1950. Dr B. R. Ambedkar chaired the Drafting Committee.

Article 32 significance

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

RBI establishment and MPC

The Reserve Bank of India was established in 1935 and nationalised in 1949. Monetary policy is decided by the six-member Monetary Policy Committee.

Bharat Ratna instituted

The Bharat Ratna is India's highest civilian award and was instituted in 1954. It is awarded for exceptional service in any field without restriction to citizens.

UN and WTO headquarters

The United Nations was founded in 1945 with headquarters in New York. The WTO, established in 1995 to replace GATT, is headquartered in Geneva.

Tropic of Cancer in India

The Tropic of Cancer passes through eight Indian states, running roughly through Gujarat, Rajasthan, Madhya Pradesh, Chhattisgarh, Jharkhand, West Bengal, Tripura and Mizoram.

SI units of force and pressure

The SI unit of force is the newton, of pressure the pascal, and of power the watt. Energy is measured in joules and frequency in hertz.