IPM Aptitude Test 2026 — Complete Syllabus

Covers basic arithmetic operations, number properties, and their applications in solving problems.

Deals with operations and comparisons involving fractions and decimal numbers.

Focuses on finding the Highest Common Factor and Lowest Common Multiple of numbers and their applications.

Involves finding square roots and identifying perfect square numbers.

Understanding and interpreting numbers on a number line, including positive and negative values.

Performing fundamental arithmetic operations like addition and subtraction on a series of numbers.

Evaluating algebraic expressions and solving simple equations.

Identifying and applying properties of numbers, including sequences and arithmetic progressions.

Calculating the average of a set of fractions.

Solving problems involving ratios and proportions, including business partnerships.

Finding the least number to multiply to make a number a perfect square and related problems.

Solving diverse word problems that require application of basic arithmetic and number concepts.

Covers simplification of algebraic expressions involving variables and operations.

Solving linear and quadratic equations, and understanding inequalities.

Identifying and forming perfect square algebraic expressions.

Properties of angles, triangles, and regular polygons, including interior and exterior angles.

Focuses on types of triangles, their properties, and angle relationships.

Understanding properties, volume, and surface area of spheres and related calculations.

Calculating angles of regular polygons, including exterior and interior angles.

Identifying and understanding angle relationships formed by parallel lines and transversals.

Calculating area and perimeter of geometric shapes like squares and rectangles.

Understanding concepts related to circles, including circumference and area.

Calculating surface area and understanding volume concepts for 3D shapes like cubes and cuboids.

Analyzing geometric patterns and sequences, often related to perimeter calculations.

Understanding basic concepts of coordinate geometry, including lines and their equations.

Problems involving melting and recasting of solids, converting between shapes.

Calculations related to profit, loss, discounts, and percentage changes.

Understanding and calculating simple and compound interest.

Problems related to business partnerships and profit/loss distribution.

Calculations involving time, speed, and distance, including problems with trains and average speeds.

Calculating and applying the concept of averages to sets of data.

Interpreting data presented in bar graphs and answering questions based on the visual representation.

Interpreting data presented in various formats like charts and tables, and determining data sufficiency.

Applying logical reasoning to analyze and compare data presented in graphical formats.

Solving number series and logic puzzles that require pattern recognition and deduction.

Identifying patterns in number series and solving analogy-based problems.

Applying logical deduction and critical thinking to solve complex problems.

Solving puzzles that involve arranging items or numbers based on given conditions.

Applying logical reasoning to geometric problems involving angles and parallel lines.

Solving problems related to the time taken to complete work by individuals or groups.

Solving problems related to the ages of individuals or groups, often involving averages.

Calculating simple interest, principal, rate, or time given other parameters.

Solving problems involving speed, distance, and time, including calculating ratios of speeds.

Solving problems related to cost price, selling price, and profit/loss scenarios involving multiple items.

Applying mensuration concepts, including unit conversions, to calculate distances covered by rotating objects.

Calculating the average of remaining numbers after certain values are discarded from a set.

Calculating the principal amount required to earn a specific monthly interest at a given rate.

Calculating the rise in water level due to the immersion of a 3D object in a container.