CAT 2013 Free Sample Practice Questions, Answers
Questions in Quantitative Reasoning, Verbal Reasoning, DI and LR
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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.
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.
8. Percents & Fractions
Questions on Percents and Fractions. These questions usually easy on concepts. A core topic. However, at CAT level difficulty, the questions could get either tricky or lengthy.