THE CONCEPT COLLECTION

Quantitative Reasoning,
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Unpack the concept. Follow the reasoning. Then try it for yourself. A growing reading library for your JEE, NEET, SAT, GRE, GMAT and UPSC common-core preparation.

Independently reviewed topic lessons

489 complete lessons currently available. Each lesson identifies its exact topics within the reviewed analytics or declared teaching framework. Selected past-exam questions and original practice are labeled separately. These notes support learning; they are not complete exam preparation or a claim of current-syllabus coverage.

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Quantitative Reasoning

35 available lessons shown

Quantitative ReasoningTHE CONCEPT COLLECTION / 06

GMAT · Counting, probability and statistical arithmetic

Counting arrangements and calculating probabilities

Original GMAT Problem Solving instruction: reason from constraints, calculate efficiently without a calculator, and check the requested quantity.

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Quantitative ReasoningTHE CONCEPT COLLECTION / 06

GMAT · Algebra and constraints

Expressions, equations and algebraic identities

Original GMAT Problem Solving instruction: reason from constraints, calculate efficiently without a calculator, and check the requested quantity.

GMATRead lesson ↗
Quantitative ReasoningTHE CONCEPT COLLECTION / 06

GMAT · Arithmetic and number properties

Fractions, decimals and efficient arithmetic

Original GMAT Problem Solving instruction: reason from constraints, calculate efficiently without a calculator, and check the requested quantity.

GMATRead lesson ↗
Quantitative ReasoningTHE CONCEPT COLLECTION / 06

GMAT · Algebra and constraints

Functions, sequences and defined operations

Original GMAT Problem Solving instruction: reason from constraints, calculate efficiently without a calculator, and check the requested quantity.

GMATRead lesson ↗
Quantitative ReasoningTHE CONCEPT COLLECTION / 06

GMAT · Algebra and constraints

Inequalities, absolute value and solution restrictions

Original GMAT Problem Solving instruction: reason from constraints, calculate efficiently without a calculator, and check the requested quantity.

GMATRead lesson ↗
Quantitative ReasoningTHE CONCEPT COLLECTION / 06

GMAT · Arithmetic and number properties

Integers, divisibility and remainders

Original GMAT Problem Solving instruction: reason from constraints, calculate efficiently without a calculator, and check the requested quantity.

GMATRead lesson ↗
Quantitative ReasoningTHE CONCEPT COLLECTION / 06

GMAT · Applied problem solving

Mixtures, costs and constrained optimization

Original GMAT Problem Solving instruction: reason from constraints, calculate efficiently without a calculator, and check the requested quantity.

GMATRead lesson ↗
Quantitative ReasoningTHE CONCEPT COLLECTION / 06

GMAT · Ratios, proportions and percentages

Percentages, growth and financial arithmetic

Original GMAT Problem Solving instruction: reason from constraints, calculate efficiently without a calculator, and check the requested quantity.

GMATRead lesson ↗
Quantitative ReasoningTHE CONCEPT COLLECTION / 06

GMAT · Arithmetic and number properties

Exponents, roots and numerical comparisons

Original GMAT Problem Solving instruction: reason from constraints, calculate efficiently without a calculator, and check the requested quantity.

GMATRead lesson ↗
Quantitative ReasoningTHE CONCEPT COLLECTION / 06

GMAT · Applied problem solving

Motion, average speed and combined work

Original GMAT Problem Solving instruction: reason from constraints, calculate efficiently without a calculator, and check the requested quantity.

GMATRead lesson ↗
Quantitative ReasoningTHE CONCEPT COLLECTION / 06

GMAT · Ratios, proportions and percentages

Ratios, proportions and unit conversions

Original GMAT Problem Solving instruction: reason from constraints, calculate efficiently without a calculator, and check the requested quantity.

GMATRead lesson ↗
Quantitative ReasoningTHE CONCEPT COLLECTION / 06

GMAT · Counting, probability and statistical arithmetic

Averages, distributions and statistical comparisons

Original GMAT Problem Solving instruction: reason from constraints, calculate efficiently without a calculator, and check the requested quantity.

GMATRead lesson ↗
Quantitative ReasoningTHE CONCEPT COLLECTION / 06

GMAT · Applied problem solving

Translating word problems and choosing a solution strategy

Original GMAT Problem Solving instruction: reason from constraints, calculate efficiently without a calculator, and check the requested quantity.

GMATRead lesson ↗
Quantitative ReasoningTHE CONCEPT COLLECTION / 06

GRE · Data Analysis

Mean, median, mode and spread

Summarize a data set without confusing its typical value, total and variability.

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Quantitative ReasoningTHE CONCEPT COLLECTION / 06

GRE · Geometry

Circles and circular measurement

Translate radii, turns and shaded regions into exact lengths and areas.

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Quantitative ReasoningTHE CONCEPT COLLECTION / 06

GRE · Data Analysis

Counting, permutations, combinations and sets

Choose whether order matters, track overlaps and translate counted outcomes into probabilities only when justified.

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Quantitative ReasoningTHE CONCEPT COLLECTION / 06

GRE · Data Analysis

Tables, charts and data interpretation

Read a display’s variables, scale and reference group before calculating from a shared data set.

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Quantitative ReasoningTHE CONCEPT COLLECTION / 06

GRE · Algebra

Algebraic expressions and factoring

Rewrite expressions without changing their value or silently enlarging their domain.

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Quantitative ReasoningTHE CONCEPT COLLECTION / 06

GRE · Arithmetic

Fractions, decimals and arithmetic operations

Keep quantities exact, control signs, and recognize what decimal representations do and do not tell you.

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Quantitative ReasoningTHE CONCEPT COLLECTION / 06

GRE · Algebra

Functions, graphs, slopes and intercepts

Connect formulas, coordinate positions and graph features while keeping domains and scales explicit.

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Quantitative ReasoningTHE CONCEPT COLLECTION / 06

GRE · Algebra

Inequalities, intervals and comparison

Treat inequalities as sets of allowed values and preserve their direction with care.

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Quantitative ReasoningTHE CONCEPT COLLECTION / 06

GRE · Algebra

Linear equations and word-problem models

Translate relationships into one consistent variable and preserve equivalence while solving.

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Quantitative ReasoningTHE CONCEPT COLLECTION / 06

GRE · Geometry

Lines and angle relationships

Turn a crowded sketch into a small set of justified angle equations.

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Quantitative ReasoningTHE CONCEPT COLLECTION / 06

GRE · Arithmetic

Number lines, absolute value and estimation

Read signed positions and distances, solve absolute-value conditions and use reliable bounds.

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Quantitative ReasoningTHE CONCEPT COLLECTION / 06

GRE · Geometry

Quadrilaterals and polygons

Connect shape definitions, angle totals and perpendicular heights to measurements that really follow.

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Quantitative ReasoningTHE CONCEPT COLLECTION / 06

GRE · Data Analysis

Quartiles, percentiles and distributions

Read relative position and distribution shape without confusing rank, probability and a raw score.

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Quantitative ReasoningTHE CONCEPT COLLECTION / 06

GRE · Arithmetic

Powers, roots and numerical patterns

Track bases, signs and domains before simplifying powers, radicals and numerical patterns.

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Quantitative ReasoningTHE CONCEPT COLLECTION / 06

GRE · Algebra

Quadratic equations and inequalities

Connect factors, roots, square structure and sign intervals without importing unnecessary calculus.

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Quantitative ReasoningTHE CONCEPT COLLECTION / 06

GRE · Geometry

Congruence, similarity and scaling

Track corresponding parts and scale each measurement by the right power.

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Quantitative ReasoningTHE CONCEPT COLLECTION / 06

GRE · Geometry

Three-dimensional figures and volume

Build volume and exposed-surface calculations from dimensions, cross-sections and units.

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Quantitative ReasoningTHE CONCEPT COLLECTION / 06

GRE · Algebra

Simultaneous equations and inequalities

Find values that satisfy every condition, and recognize when a system fixes only part of the information.

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Quantitative ReasoningTHE CONCEPT COLLECTION / 06

GRE · Geometry

Triangles and the Pythagorean theorem

Build reliable side, angle and area models before reaching for a formula.

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LET CURIOSITY LEAD. USE DATA FOR CONTEXT.

From a pattern to a plan.

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