22 Sections
33 Lessons
Lifetime

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Section 1 : Number System
Build a strong foundation in Number System by mastering core concepts like divisibility, remainders, surds, and indices. Learn shortcut techniques and solve CAT-level questions with speed and accuracy.
9
- 1.1
  Classification of Numbers
- 1.2
  Digits & Number Formation
- 1.3
  Divisibility Rules
- 1.4
  Factorial Concepts
- 1.5
  Remainder Theorem
- 1.6
  Simplification
- 1.7
  Surds & Indices
- 1.8
  Zero Concepts
- 1.9
  CAT Previous Year Questions
Section 2 : mensuration 2d
Mensuration is a branch of Mathematics that deals with the measurement of geometric figures. When we talk about 2D mensuration, we focus on flat shapes (also called plane figures) that have only length and breadth, but no height or depth.🔹 What is 2D Mensuration? 2D mensuration involves calculating: Area → the space inside a shape Perimeter → the boundary or total length around a shape These concepts are based on Geometry.
10
- 2.1
  introduction
- 2.2
  square
- 2.3
  polygon
- 2.4
  Rectangle
- 2.5
  Parallelogram
- 2.6
  Trapezium
- 2.7
  Rhombus
- 2.8
  Hexagon
- 2.9
  Triangle
- 2.10
  Circle
trignometry
3
- 3.1
  Basic Concepts of Trigonometry
- 3.2
  2. Trigonometric Identities
- 3.3
  height and distance
mensuration 3d
Mensuration 3D is the branch of mathematics that deals with measuring three-dimensional solids like cubes, cylinders, cones, and spheres. It focuses mainly on finding volume (space occupied) and surface area (outer covering) of these objects. It is widely used in real life for construction, storage, and solving competitive exam problems.
16
- 4.1
  Cube
- 4.2
  Cube level 1 Quiz
  5 Minutes5 Questions
- 4.3
  Cuboid
- 4.4
  Cuboid level 1
  10 Minutes10 Questions
- 4.5
  cuboid level 2
  10 Minutes10 Questions
- 4.6
  cuboid level 3
  10 Questions
- 4.7
  Cylinder
- 4.8
  Cone
- 4.9
  Sphere
- 4.10
  Hemisphere
- 4.11
  Prisms
- 4.12
  Pyramids
- 4.13
  Tetrahedron
- 4.14
  questions to practice
- 4.15
  Previous year questions
- 4.16
  dddd
  3 Questions
Averages
Averages represent a central value of a group of numbers. This topic includes simple averages, weighted averages, and changes in average. It is widely used in real-life situations like marks, income, and statistics. It also helps in simplifying complex calculations.
0
Alligations
Alligation is a shortcut method used to solve mixture problems. It helps in finding ratios when two or more quantities are mixed. This topic is commonly used in problems involving price, concentration, and percentages. It saves time compared to traditional methods.
0
Ratio, Proportion & Variation
This topic explains how quantities are related and compared. Ratio compares two quantities, while proportion shows equality of ratios. It also includes direct and inverse variation. These concepts are widely used in real-life scenarios like sharing, scaling, and mixtures.
0
Percentages
Percentages express values as parts of 100. This topic is the foundation for many other chapters like profit & loss, interest, and data interpretation. It includes increase/decrease, successive percentages, and conversions. Strong understanding helps in solving many exam questions quickly.
0
Profit, Loss and Discount
This chapter deals with buying and selling concepts. It includes cost price, selling price, marked price, profit, loss, and discounts. Questions often involve multiple transactions and percentage changes. It is one of the most important topics in competitive exams.
0
CI/SI Instalments
This topic focuses on financial mathematics. It includes Simple Interest (SI), Compound Interest (CI), and installment-based problems. It explains how money grows over time with interest. It is useful in banking, loans, and investment-related questions.
0
Time and Work
This topic deals with efficiency and work completion. It explains how individuals or groups complete tasks over time. Includes concepts like work rates, pipes and cisterns, and alternate work. Logical thinking is key to solving these problems.
1
- 11.1
  time and work
  1 Question
Time, Speed and Distance
This chapter focuses on motion and travel problems. It includes speed, distance, and time relationships. Topics like trains, boats and streams, and relative speed are covered. It is widely used in real-life scenarios and exams.
0
Geometry
Geometry deals with shapes, angles, lines, and their properties. It includes triangles, circles, polygons, and theorems. Visualization plays an important role in solving problems. It is a conceptual and scoring topic.
0
Elements of Algebra
This topic introduces algebraic expressions and identities. It includes simplification, factorization, and basic equations. It forms the base for advanced algebra topics. Logical manipulation of expressions is key here.
0
Theory of Equations
This chapter focuses on solving equations and understanding roots. It includes quadratic equations and relationships between roots and coefficients. It is useful for solving higher-level algebra problems. Concepts are both theoretical and application-based.
0
Set Theory
Set theory deals with collections of elements. It includes operations like union, intersection, and complement. Venn diagrams are used to solve problems visually. It is widely used in logical reasoning and probability.
0
Logarithm
Logarithms simplify calculations involving large numbers and exponents. This topic includes log rules, properties, and equations. It is helpful in algebra and exponential problems. Understanding properties is essential for quick solving.
0
Functions and Graph
This topic explains relationships between variables. Functions map inputs to outputs, and graphs help visualize them. It includes linear, quadratic, and other functions. Important for understanding trends and patterns.
0
Sequence, Series and Progressions
This chapter deals with ordered numbers and patterns. It includes Arithmetic Progression (AP), Geometric Progression (GP), and Harmonic Progression (HP). It also covers sum of series. Useful in pattern-based questions.
0
Permutations & Combinations
This topic focuses on counting arrangements and selections. Permutations deal with order, while combinations do not. It is widely used in probability problems. Logical counting methods are essential here.
0
Probability
Probability measures the chance of an event occurring. It includes basic rules, conditional probability, and independent events. It is widely used in real-life situations like games and predictions. Concept clarity is very important.
0
Coordinate Geometry
This topic uses a coordinate plane to study geometry. It includes distance formula, slope, and equations of lines. It connects algebra and geometry. Visualization and formulas both are important.
0

CAT 2026 Ultimate Course – From Basics to 99+ Percentile

Curriculum

Parallelogram

1. A parallelogram has sides 13 cm and 5 cm long. The length of one of its diagonals is 14 cm. The area of the parallelogram is:
(a) 48 cm²
(b) 52 cm²
(c) 56 cm²
(d) 60 cm²

2. The sides of a parallelogram are in the ratio 7 : 5. Its area is 1400 square units. If the altitude on the greater side is 20 units, then the altitude on the smaller side is:
(a) 20 units
(b) 25 units
(c) 28 units
(d) 35 units

3. If the sum of the length, breadth and height of a rectangular parallelepiped is 30 cm and the length of its diagonal is 19 cm, then its total surface area is:
(a) 640 cm²
(b) 672 cm²
(c) 684 cm²
(d) 720 cm²

4. Two sides of a parallelogram are 18 cm and 24 cm. If the altitude corresponding to the side of length 24 cm is 12 cm, then the altitude corresponding to the other side is:
(a) 12 cm
(b) 14 cm
(c) 16 cm
(d) 18 cm

5. The area of a parallelogram whose length is 24 cm, width is 10 cm, and one diagonal is 26 cm is:
(a) 96 cm²
(b) 120 cm²
(c) 144 cm²
(d) 156 cm²

6. Two adjacent sides of a parallelogram are 15 cm and 20 cm. The diagonal joining the end points of these two sides is 25 cm. The area of the parallelogram (in cm²) is:
(a) 240
(b) 260
(c) 300
(d) 320

parallelogram
TYPE- I
QTN	ANS
1	c
2	c
3	b
4	c
5	c
6	c

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CAT 2026 Ultimate Course – From Basics to 99+ Percentile

Curriculum

Parallelogram

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