CAT 2010 Practice Questions in Math

Questions in Quantitative Reasoning from different topics that appear in CAT

Topicwise Listing of Sample Quant Questions and Answers

1. Number Theory

An oft repeated topic in CAT since CAT 2000. Questions include simple word problems testing one's understanding of application of LCM, HCF, Factors, Divisibility to questions that would require knowledge of remainders, remainder theorem, factorials, different bases to which numbers can be expressed.

2. Linear, Quadratic Equations

Includes linear equations, first degree equations in one or more variables. Solutions to system of linear equations, conditions for unique and multiple solutions. Plus word problems that require framing linear equations.

Quadratic equations, second order equations in one variable. Finding roots to these equations, evaluating nature of roots viz., real roots, imaginary roots, equal roots. Word problems that require forming quadratic equations.

3. Permutation Combination & Probability

Questions on permutation, combination, rearranging letters of a word, picking cards from a pack of cards, outcomes of tossing a fair coin, outcomes of rolling a fair die and seating arrangement problems.

4. Pipes, Cisterns & Work, Time

Questions on time taken to fill a tank by two pipes, time taken to drain a tank. Work done when more than one person works on a task. Efficiencies of work and relation to time taken to complete task.

5. Geometry

Questions on lines, line segments, angles made by intersecting lines, polygons, convex polygons, concave polygons, triangles, quadrilaterals, circles, and tangents.

6. Coordinate Geometry

Problems on Coordinate geometry. Includes finding slope of a line, forming equation of a line, points of intersection of lines, parallel lines, perpendicular lines, equation of a circle given coordinates of its centre and radius, reflection of a point on ordinate axes.

7. Progressions : AP, GP & HP : Sequences & Series

Questions on Arithmetic progression (AP), Geometric Progression (GP) and Arithmetic Mean and Geometric Mean. These questions also get classified as sequences and series questions.