Practice Questions

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Events in Probability Practice Questions

Last Updated: 14 July 2026

An event in probability is a specific outcome or a group of outcomes of a random experiment. Since every event consists of outcomes from the sample space, an event is alwa...read more

Random Variable Practice Questions

Last Updated: 14 July 2026

A random variable is a variable that assigns a numerical value to each possible outcome of a random experiment. It helps represent the outcomes of an experiment using numb...read more

Probability Distribution Function Practice Questions

Last Updated: 14 July 2026

A probability distribution is a rule or function that shows the probability of every possible value of a random variable. It describes how the total probability is distrib...read more

Propositional Equivalences Practice Questions

Last Updated: 10 July 2026

Propositional equivalences are logical relationships in which two propositions always have the same truth value for every possible combination of truth values.Question 1: ...read more

Normal and Principal Forms Practice Questions

Last Updated: 10 July 2026

Normal forms and principal forms are standard ways of writing logical expressions to make them easier to understand, simplify, compare, and evaluate. They represent logica...read more

Predicates and Quantifiers Practice Questions

Last Updated: 10 July 2026

Predicates and quantifiers are concepts in mathematical logic used to describe properties of objects and make logical statements about them. A predicate is a statement tha...read more

Nested Quantifiers Practice Questions

Last Updated: 10 July 2026

Nested quantifiers are two or more quantifiers used together in a logical statement, where one quantifier is placed inside the scope of another. They are used to describe ...read more

Relations in Mathematics Practice Questions

Last Updated: 10 July 2026

A relation in mathematics is a rule that connects elements of one set to elements of another set (or the same set). It is represented as a set of ordered pairs, where the ...read more

Closure of Relations Practice Questions

Last Updated: 10 July 2026

The closure of a relation is the smallest relation obtained by adding the minimum required pairs to an existing relation so that it satisfies a specific property, such as ...read more

Equivalence Relations Practice Questions

Last Updated: 10 July 2026

An equivalence relation is a relation on a set that groups elements based on a common property.A relation is called an equivalence relation if it satisfies reflexivity, sy...read more

Elements of POSET Practice Questions

Last Updated: 10 July 2026

The elements of a POSET are the individual objects or members of a set that are arranged according to a partial order relation. This relation compares the elements and mus...read more

Hasse Diagrams Practice Questions

Last Updated: 10 July 2026

A Hasse diagram is a simple graphical representation of a partially ordered set (poset). It shows how the elements are ordered by drawing only the direct relationships (co...read more

Permutation Practice Questions

Last Updated: 09 July 2026

A permutation is the number of different ways to arrange one or more objects selected from a set.Problem 1. Find 6P3SolutionAs per the formula,nPr = n! / (n - r)!6P3 = 6! ...read more

Lattices Practices Questions

Last Updated: 10 July 2026

A lattice is a partially ordered set (POSET) in which every pair of elements has a unique least upper bound (join) and a unique greatest lower bound (meet). It is used to ...read more

Cyclic Group Practice Questions

Last Updated: 10 July 2026

A Cyclic Group is a group in which every element can be generated by repeatedly applying the group operation to a single element, called the generator.The group {0, 1, 2, ...read more

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