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Number System and Number Theory
Number systesms and Number Theory are oft repeated topics in most top
B Schools entrance tests. Includes word problems on LCM, HCF, framing
equations, remainders, factorials, tests of divisibility.
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Percentages, Fractions
Percentages and fractions are the building blocks for questions that
appear in many topics that follow this. Percentage change, conversions
from percentages to fractions and typical questions on the topic.
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Profit, Loss & Discounts
Profit, loss, percentage profit, percentage loss. Discounts,
percentage discounts. Concept of marked price, markup.
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Simple and Compound Interest
Questions on simple interest, compound interest, time taken for a sum
of money to double in simple interest and in compound interest.
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Speed, Time & Distance
Questions, shortcuts on Speed, Time Distance. Relation between these
quantities. Conversion from one unit to another. Average speed.
Relative speeds.
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Pipes & Cisterns And Work & Time
Pipes, cisterns, work time questions. Questions on time taken to
complete a task, work efficiency change etc. A topic from which a
couple of questions do appear in most entrance tests.
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Races
Straight line race, start or lead given by one to the other. Circular
race. Time taken to meet for the first time, time taken to meet for
the first time at the starting point.
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Averages, Arithmetic Mean
Arithmetic mean, weighted arithmetic mean. Questions on elements
joining or leaving a group resulting in change in the arithmetic
mean.
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Ratio, Proportion & Variation
Elementary ratio proportion question. Direct proportion, inverse
proportion, continued proportion. Questions on partnerships.
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Mixtures & Rule of Alligation
Problems on simple mixtures, compound mixtures. Rule of alligation and
its application in finding weights used while computing weighted
average.
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Permutation & Combination
nCr, nPr, factorials, sampling with replacement, sampling without
replacement, sampling with ordering and sampling without ordering.
Questions on numbers, tossing of coins, rolling of dice, picking a
card from a pack of cards and questions on combinations and
permutations.
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Probability
Elementary probability, sample space, events. Probability of a
complementary event. Probability questions as a ratio of two
permutation combination questions.
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Inequalities - Linear Inequations
Questions on linear inequations. Inequalities on quadratic equations,
exponents, modulus. Results of adding and multiplying a constant term
on either side of an inequality.
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Progressions - AP, GP, HP
Arithmetic Progression, Geometric Progression, Harmonic Progression.
Relation between Arithmetic, Geometric and Harmomic Means. Sum up to n
terms of each of these series.
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Set Language and Theory
Problems on finding union, intersection of two sets, three sets and
four sets. Complement of a set, superset, subsets, powerset.
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Geometry
Lines, Angles between lines, polygons, triangles, quadrilaterals,
parallelograms, rhombus, kites, trapezium, rectangles, squares,
regular hexagon, regular pentagon, circles, tangents.
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Mensuration - Solid Geometry
Area, perimeter of two dimension objects. Curved Surface Area, Total
Surface Area, Volume of three dimension solids such as cube, cuboid,
cylinder, cone, sphere, hemisphere, prisms, pyramids.
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Trigonometry
Questions on trigonometric identities, trigonometric ratios including
sin, cos, tan, cot, cosec, sec. Also questions on heights and
distances.
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Data Sufficiency
Data sufficiency in quantitative reasoning. DS questions on concepts
in arithmetic, algebra and geometry. A question is followed by two
statements and you are expected to determine if the given information
is sufficient to answer the question.
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Clocks and Calendars
Questions on finding the time at which the minute hand and hour hand
of a clock are at a particular angle to each other. Finding the day of
the week given a date.
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Algebra
Linear, quadratic equations. Word problems in Linear, Quadratic
equations involving framing equations. Conditions for roots of
quadratic equation being equal and real, being real, being complex.
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Function
Questions on functions are a big hit with XAT. CAT also features
function questions at times as in CAT 1999 and CAT 2000.
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English Grammar
Sentence correction questions on common errors including Subject Verb
agreement, Pronoun errors, Comparison errors, Tense errors, Parallel
Construct error, error in incorrect use of prepositions.
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General Knowledge and Awareness
General Knowledge, Business Affairs, Current affairs questions that
appear in some of the top B school entrance tests.
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