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Prime Factorization Practice Question

Last Updated: 08 September 2026

Prime factorization is the process of expressing a number as a product of its prime factors.Example: The prime factorization of 12 is 2 × 2 × 3.Solved ExamplesExample 1: W...read more

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Practice Questions

Types of Prime Numbers

Last Updated: 08 September 2026

A prime number is a natural number greater than 1 that has exactly two positive divisors: 1 and itself. Numbers that have more than two divisors are called composite numbe...read more

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Properties of Integers Practice Questions

Last Updated: 05 September 2026

The properties of integers are the basic rules that explain how they behave under operations such as addition, subtraction, multiplication, and division.Example:For intege...read more

Practice Questions

Consecutive Interior Angles Practice Questions

Last Updated: 07 September 2026

Consecutive interior angles are a pair of angles that lie between two lines and on the same side of a transversal. When the two lines are parallel, their sum is 180°, maki...read more

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Practice Questions

Complex Roots Practice Questions

Last Updated: 13 August 2026

Complex roots are the solutions of an equation that involve imaginary numbers and are usually written in the form a + ib, where i² = -1.Example 1: Find the roots of the qu...read more

Practice Questions

Integration (Practice Questions)

Last Updated: 12 August 2026

Integration is a mathematical process used to find the antiderivative of a function or to calculate the area under a curve. It is essentially the reverse process of differ...read more

Practice Questions

Count Numbers with Floor kth Root as n

Last Updated: 14 August 2026

Given two integers n and k, find how many integers x satisfy the condition that the integral part (floor value) of the kth root of x is n.Examples:Input: n = 3, k = 2Outpu...read more

Quadratic Graph Practice Problems

Last Updated: 17 August 2026

A quadratic graph is the graph of a quadratic function of the form y = ax² + bx + c (where a ≠ 0). It is a U-shaped curve called a parabola that opens upward if a is posit...read more

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Practice Questions

Law of Total Probability (Practice Problems)

Last Updated: 01 August 2026

The Law of Total Probability states that if an event can occur through several mutually exclusive and exhaustive events, then its total probability is the sum of the proba...read more

Euclidean Distance (Practice Questions)

Last Updated: 29 July 2026

Euclidean distance is defined as the distance between two points in Euclidean space. To find the distance between two points, the length of the line segment that connects ...read more

Practice Questions

Symmetric and Skew-Symmetric Matrices (Practice Problems)

Last Updated: 22 July 2026

A symmetric matrix and a skew-symmetric matrix are special types of square matrices defined by their relationship with their transpose.A symmetric matrix is a square matri...read more

Cramer's Rule (Practice Problems)

Last Updated: 21 July 2026

Cramer's Rule is a method for solving a system of linear equations using determinants. It is applicable only when the system has the same number of equations as unknowns a...read more

Inverse of a Matrix (Practice Problems)

Last Updated: 21 July 2026

The inverse of a matrix is a matrix that, when multiplied by the original matrix, produces the identity matrix. It is similar to the reciprocal of a number.Solved Examples...read more

Augmented Matrix (Practice Problems)

Last Updated: 21 July 2026

An augmented matrix is a matrix that combines the coefficients of a system of linear equations with the constants on the right-hand side. It provides a compact way to repr...read more

Practice Questions on Eigenvalues and Eigenvectors

Last Updated: 21 July 2026

Eigenvalues and eigenvectors are special numbers and vectors associated with a matrix. They describe directions that do not change direction when a matrix transforms them—...read more

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