NCERT Solutions for Class 11 Maths Chapter 14: Download PDF
  • Written By Zeshan Naz
  • Last Modified 06-09-2022
  • Written By Zeshan Naz
  • Last Modified 06-09-2022

NCERT Solutions for Class 11 Maths Chapter 14 Mathematical Reasoning

NCERT Solutions for Class 11 Maths Chapter 14 Mathematical Reasoning: Mathematical Reasoning is the fourteenth chapter in Class 11 Maths. The NCERT Solutions for Class 11 Maths chapter 14 are easy, short and important in order to learn whether a statement is mathematical acceptable and how to prove it. With the help of the NCERT Solutions, students will be able to solve all the in-text questions given at the end of each topic.

The CBSE Class 11 Maths chapter 14 Mathematical Reasoning deals with new statements from old ones, special words/phrases, implications, validating statements, etc. There are over 800 sample questions on Embibe platform for students to solve for free. In this article, we have provided the NCERT Solutions for Class 11 Chapter 14 Maths along with important topics. Scroll down to learn more!

NCERT Solutions for Class 11 Maths Chapter 14: Important Topics

Students can follow the NCERT Solutions for Class 11 Maths Chapter 14 Solution Sets provided here as a reference. Mathematical reasoning is a concept which helps students understand that a sentence is called a mathematically acceptable statement if it is either true or false but not both. Practising Embibe’s sample questions will ensure that students remember the formulas and apply them correctly.

Embibe provides solutions for all the questions in CBSE Class 11 Maths Chapter 14 textbooks, based on the latest syllabus. Students can solve these questions on Embibe platform for free and score good marks. Embibe also provides NCERT 3D Videos, NCERT Exemplars, Embibe Explainers, etc., for free.

NCERT Class 11 Maths Chapter 14 Mathematical Reasoning has five exercises. There is a total of 13 topics, including the introduction.

Sr. No.Topic Name
14.1Introduction
14.2Statements
14.3New Statements from Old
14.3.1Negation of a Statement
14.3.2Compound Statements
14.4Special Words/Phrases
14.4.1The Word “And”
14.4.2The Word “Or”
14.4.3Quantifiers
14.5Implications
14.5.1Contrapositive and Converse
14.6Validating Statements
14.6.1By Contradiction

NCERT Solutions for Class 11 Maths Chapter 14: Points to Remember

Below we have provided some of the important points to remember for NCERT Class 11 Maths Chapter 14 to ace your exams:

1Statement (Proposition) and Types of Statement: A sentence is called a mathematically acceptable statement or simply a statement if it is either true or false but not both.

(i) Declarative:

Any statement which is either true or false but not both is called as declarative sentence.

(ii) Imperative:

Any imperative sentence such as command or a request cannot be a statement.

(iii) Exclamatory

Any exclamatory sentence such as some emotion or excitement type sentence is not a statement.

(iv) Interrogative

Any interrogative sentence such as a question type sentence is not a statement.

2. Simple statement: The simple statement is a statement which cannot be broken down into two or more statements.

3Compound statement: A statement is called a compound statement if it is made up of two or more simple statements.

Compound statements are obtained by using connecting words like ANDOR etc and phrases If-then“, Only if“, if and only if“, ‘”There exists“, For all  etc.

(i)The compound statement with “AND” is

(a) True if all its component statements are true.

(b) False if any of its component statements are false.

(ii)The compound statement with OR is

(a) True when one component statement is true or both the component statements are true.

(b) False when both the component statements are false.

NCERT Solutions for Class 11 Maths: All Chapters

The detailed NCERT Class 6 solutions are provided below for your reference:

FAQs on NCERT Solutions for Class 11 Maths Chapter 14

Q.1: What is Chapter 14 of Class 11 NCERT Maths about?

Ans: In the NCERT Class 11 Chapter 14, Mathematical Reasoning, students are introduced to a new segment of mathematics where the students learn about Mathematical Reasoning and its significance in our day-to-day life.

Q.2: How many practice questions are there in Class 11 Maths Chaper 14?

Ans: Embibe provides 800+ practice questions for Class 11 Maths Chapter 14. Therefore, students must practice these questions from Embibe for free.

Q.3: Can I take mock tests for Class 11 Maths on Embibe?

Ans: Yes, students can take the mock tests for Class 11 Maths for free on Embibe. Therefore, students in Class 11 can sign up for Embibe and take the mock test.

Q.4: Are the NCERT Solutions by Embibe available for free?

Ans. All the NCERT Solutions provided by Embibe are available for free.

Q.5: How many questions are there in Chapter 14 Mathematical Reasoning of the NCERT Solutions for Class 11 Maths?

Ans: There are 25 questions in four exercises in the NCERT Solutions for Class 11 Maths Chapter 14 Mathematical Reasoning.

Related Links

NCERT Book for Class 11 MathsNCERT Syllabus for Class 11 Maths
CBSE Class 11 Maths Sample PaperClass 11 Maths NCERT Solutions Chapter 4 Principle of Mathematical Induction

Adaptive Practice with Solutions To Help You Ace Important Topics for 11th NCERT Maths