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Mathematical reasoning is an important part of most competitive exams and olympiads today. In Mathematical reasoning, we are given a hypothesis and we analyse it. Some common concepts related to Mathematical Reasoning are a statement, conjunction, disjunction, inductive reasoning, deductive reasoning, simple statements, compound statements, fallacy, etc. Many times students get confused about these topics as they are quite different from what they have studied in Maths all the time. Mathematics seems like a subject that is based on formulas and theorems, but mathematical reasoning helps students become familiar with logical and critical thinking.
To help you master the concepts of Mathematical reasoning and prepare for competitive exams like JEE, NEET, and olympiads, the askIITians Maths experts have created these free revision notes. They include pointwise explanations for various mathematical reasoning concepts so that you can refer to them while solving mathematical reasoning problems. You must study these notes carefully as they will help you learn how to solve higher-order thinking questions easily.
Some benefits of Online Revision Notes for Mathematical Reasoning:
Truth Table (p ∨ q, q ∨ p)
p
q
p ∧ q
q ∧ p
T
F
Rule: p ∧ q is true only when p and q are true
Truth Table (p v q, q v p)
p ∨ q
q ∨ p
Rule: p ∨ q is false only when both p and q are false.
Truth Table (~p)
~p
~ (~p)
Rule: ~ is true only when p is false
Truth Table (p → q, q → p)
p → q
q → p
Rule: p → q is false only when p is true and q is false.
Truth Table (p ↔ q, q ↔ p)
p ↔ q
q ↔ p
Rule: p ↔ q is true only when both p and q have the same truth value.
Truth Table (p → q)
~q → ~p (Contrapositive)
q ↔ p (Converse)
Truth Table (p ∨ ~p)
p ∨ ~p
Truth Table (p ∧ ~p)
p ∧ ~p
Yes, mathematical reasoning questions are often asked in JEE Main. However, it is not included in the syllabus for JEE Advanced.
Mathematical reasoning is a branch of mathematics where you use Mathematical skills and logic to prove that the given statements are true. Mathematical reasoning is of two types, inductive reasoning and deductive reasoning.
At askIITians, we have hired the best experts from IITs, NITs, and other top engineering institutions of India to help students in entrance exam preparation. Our online live, interactive classes help you study typical concepts like Mathematical reasoning from the comfort and safety of your homes. We also provide test series, practice tests, daily worksheets, flashcards, study planners and many other study resources to help students master every concept of mathematical reasoning easily.
askIITians is the best place to find the latest revision notes for JEE Maths. Our experts have prepared these revision notes to guide you with typical concepts and enhance your problem-solving skills. We provide class 6, 7, 8, 9, 10, 11, 12 notes for Maths to help form a solid foundation for JEE. Our JEE study materials are separately available for the students.