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Formula Sheet

Set Theory — Formula Sheet

XAT · Quantitative Ability & Data Interpretation

Free Set Theory formula sheet for XAT Quantitative Ability & Data Interpretation 2026 — all important formulas, equations, and constants for quick reference.

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A Venn diagram illustrating two overlapping sets, A and B, with the intersection (A ∩ B) shaded to represent elements common to both sets. Includes the formula for the union of two sets.
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Formula Sheet — Set Theory

Important formulas and equations from Set Theory for XAT Quantitative Ability & Data Interpretation.

Formulas — Set Theory

Basic Set Theory Definitions

Two-Set Problems

n(A ∪ B) = n(A) + n(B) - n(A ∩ B)
n(A ∩ B) = n(A) + n(B) - n(A ∪ B)
n(only A) = n(A) - n(A ∩ B)

Three-Set Problems

n(A ∪ B ∪ C) = n(A) + n(B) + n(C) - n(A ∩ B) - n(B ∩ C) - n(A ∩ C) + n(A ∩ B ∩ C)
n(exactly one) = n(A) + n(B) + n(C) - 2n(A ∩ B) - 2n(B ∩ C) - 2n(A ∩ C) + 3n(A ∩ B ∩ C)
n(exactly two) = n(A ∩ B) + n(B ∩ C) + n(A ∩ C) - 3n(A ∩ B ∩ C)

Problem-Solving Strategies

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Frequently Asked Questions

What topics are covered in Set Theory for XAT?
Set Theory is an important chapter in XAT Quantitative Ability & Data Interpretation. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Basic Concepts and Terminology, Venn Diagrams and Visual Representation, Problem-Solving Strategies, Advanced Applications and Logical Reasoning.
How important is Set Theory for XAT?
Set Theory is a frequently tested chapter in XAT Quantitative Ability & Data Interpretation. Questions from this chapter appear regularly in previous year papers. There are 49 practice questions available for this chapter.
How to prepare Set Theory for XAT?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.

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