# NCERT Solutions for Class 11 Maths Chapter 14 Mathematical Reasoning (Ex 14.1) Exercise 14.1

Students have always found Mathematics  interesting. Even though Algebra, Trigonometry, and Calculus are all included in Mathematics for Class 11 and Class 12, it may still cause them  stress. Some students find it challenging, while others appreciate the difficulties. The NCERT Exercise may prove  difficult for students to complete because they may struggle to understand the topics on their first attempt. Although learning new things is never easy, after learning them, students will feel really accomplished. Students often begin a new chapter or subject by solving the NCERT questions. Students should practise the NCERT solutions, as this is the only way they will understand the meaning of the chapter and its application. Mathematics places a strong emphasis on problem-solving and practise. So, students must practise through the NCERT Solutions For Class 11 Maths Chapter 14 Exercise 14.1 from Extramarks.

The NCERT Solutions For Class 11 Maths Chapter 14 Exercise 14.1 give an overview of the chapter called Mathematical Reasoning. This chapter deals with the reasoning behindsentences and the idea of whether they are statements or not. This chapter helps students identify the reason why a sentence is considered a statement. It will help students in understand the other concepts and properties of the topics they read in later chapters. This will help them understand and interpret questions better. It will help them understand what a question, an answer or a general statement is implying. This question will help students  find out how they must answer a certain question. The NCERT Solutions For Class 11 Maths Chapter 14 Exercise 14.1 is of help with that.

Students in Class 11 have chosen to study Mathematics for another two years, and they can choose to study Mathematics further for higher study programmes in certain universities. Students must remember that Mathematics is a subject that requires a lot of practise in order to be able to understand and master the concepts given in the book. This can be done by students when they practise using the NCERT and solve all the questions given in the book, including the ones given as examples and the ones in exercises. The NCERT Solutions for Class 11 Maths Chapter 14 Exercise 14.1 can assist students with anything they are having difficulty understanding.It will help students figure out the topics and concepts of NCERT Class 11 Maths Exercise 14.1.

It is noteworthy that students with akeen interest in careers in fields such as engineering, data sciences, data analytics, economics, etc. must have a certain degree of Mathematical skills. If they desire to study Mathematics in depth, students have a variety of choices. However, it is always recommended to be informed of their interests and abilities in order to make smart decisions. Before choosing a career path, students are recommended to research  future possibilities. Every decision students make will open them to a unique experience. Students will discover themselves through these new experiences and explorations. Students need to understand that trying for something is always rewarding, no matter what they want to pursue.

Students can get help solving Class 11 Maths Chapter 14 Exercise 14.1 through the study material available on Extramarks including the NCERT Solutions For Class 11 Maths Chapter 14 Exercise 14.1. It is essential for students to practise the NCERT questions, as these problems will prepare them for Mathematics in all examinations. It is crucial to make sure that students are familiar with their academic timetable and curriculum. While studying Mathematics, practising is crucial. The NCERT Solutions for Class 11 Maths, Chapter 14, Exercise 14.1 contain the answers to the NCERT questions, which students should start practising with.Teachers and the CBSE board encourage using NCERT to prepare for the exam they hold at the end of the term. NCERT Solutions Class 12 and NCERT Solutions Class 11 are available on the Extramarks website and application for different subjects such as English, Hindi, Mathematics, Physics, Chemistry, Economics, Biology, Business Studies and Accountancy.

## NCERT Solutions for Class 11 Maths Chapter 14 Mathematical Reasoning (Ex 14.1) Exercise 14.1

The NCERT Solutions For Class 11 Maths Chapter 14 Exercise 14.1 are meant for any student who wants to improve or understand how to answer questions in this chapter. This will help students learn the basics of understanding and reasoning about a Mathematical statement. Understanding and reasoning a statement will help them ask questions, answer them correctly, and write introductory and factual statements while answering any question.This chapter is important for growth and improvement in students’ academics. The students should practise this with the help of the NCERT Solutions For Class 11 Maths Chapter 14 Exercise 14.1.

The students must remember that Extramarks provides information for students to study  on their website and application. Extramarks NCERT Solutions for Class 11 Maths Chapter 14 Exercise 14.1 is an excellent resource for students who want to improve their math skills.Just like the NCERT Solutions For Class 11 Maths Chapter 14 Exercise 14.1, Extramarks provide NCERT Solutions for other subjects like English, Hindi, Maths, Social Science and Science for all classes. NCERT Solutions Class 10 and NCERT Solutions Class 9 are provided on the Extramarks website and application.

### Access NCERT Solutions for Class 11 Chapter 14 – Mathematical Reasoning

Since the start, NCERT has been used to teach the fundamentals of Mathematics and other subjects. One of the best books for scoring well on the CBSE board exams is the NCERT textbook. One of the suggested textbooks for board exams is the Mathematics NCERT book. Since it has been around for a long time, solving NCERT is a primary preparation step for most students before working on sample papers or attempting a test. Students will benefit from the NCERT Solutions For Class 11 Maths Chapter 14 Exercise 14.1 as they work through the NCERT textbook. To save time, students can use the NCERT Solutions For Class 11 Maths Chapter 14 Exercise 14.1 to get the right solutions or simpler approaches to these issues. These solutions have a detailed understanding of the question and how to respond after having solved NCERT questions. By studying from the NCERT textbook, they will gain the knowledge needed to tackle new problems from other textbooks or to take examinations to have their skills examined and to identify any shortcomings. By answering a question repeatedly, and by using the NCERT Solutions For Class 11 Maths Chapter 14 Exercise 14.1, students can improve their  knowledge and skills. If a student finds a topic challenging, believes their solution might be incorrect, or thinks the problem will take too much time to solve, they must ask for assistance. Alternatively, if they believe the NCERT Solutions For Class 11 Maths Chapter 14 Exercise 14.1 can offer them a better solution. Extramarks provide NCERT Solutions for other subjects like English, Hindi, Maths, Social Science and Science for all classes, just like the NCERT Solutions For Class 11 Maths Chapter 14 Exercise 14.1. NCERT Solutions Class 8 ,NCERT Solutions Class 7 and NCERT Solutions Class 6 are provided on the Extramarks website and application.

### NCERT Solutions for Class 11 Maths Chapter 14 Mathematical Reasoning Exercise 14.1

The chapter Mathematical Reasoning includes topics such as statements, new statements from old, negative of a statement, compound statements, special words/phrases, the word ‘and’, the word ‘or’, quantifiers, implications, contrapositive and converse, validating statements and by contradiction. These topics could seem like a lot to students, but if they study with mindfulness, they will be able to learn it in no time. These topics might seem difficult to study and understand at first, but they are not. With practice, students can master this, and it will help them with their academic performance. The NCERT Solutions For Class 11 Maths Chapter 14 Exercise 14.1 will be of assistance in such cases.

Chapter 14, Exercise 14.1 of the NCERT Solutions for Class 11 Maths provides an overview of the topics covered in the exercise.The exercise is based on the introduction of statements and their types. It also states the definition of “statement” and how to differentiate between a statement and a sentence.. In addition to this, it also teaches how to identify a statement. The NCERT Solutions For Class 11 Maths Chapter 14 Exercise 14.1 will help students understand these topics with the help of the explanations provided in it.

Extramarks gives students opportunities to supplement their study materials.Using this study material, students might be able to perform well. Extramarks’ NCERT Solutions for Class 11 Maths, Chapter 14, Exercise 14.1 is a great example of the type of content they offer.Extramarks provide NCERT solutions for primary classes as well.NCERT Solutions Class 5, NCERT Solutions Class 4, NCERT Solutions Class 3, NCERT Solutions Class 2 and NCERT Solutions Class 1 are also provided on the Extramarks website and application for subjects like English, Hindi, and Mathematics.

Extramarks offers a variety of resources for students to study from on their website and application.Extramarks experts provide resources for students to study from, such as the NCERT Solutions for Class 11 Maths, Chapter 14, Exercise 14.1.The NCERT Solutions For Class 11 Maths Chapter 14 Exercise 14.1 provide students with correct solutions to all the questions in that chapter, and the solutions can help students save their time while studying and during revision. This is one of the most important things, as it saves students’ time for studying more important chapters and the topics that they are weak in. This will help them elevate their academic performance too.

The NCERT Solutions For Class 11 Maths Chapter 14 Exercise 14.1 can help students practise. Students must remember that practising is an essential part of their preparation. As  students, they will grow if they practise and study on time. They will be able to score better in their academics. This performance will help them get into the college and programme of their choice. TheyThey must set daily goals for themselves and make a schedule for their studies. Students can get help with their studies from NCERT Solutions for Class 11 Maths, Chapter 14, Exercise 14.1, and Extramarks.This will prevent them from stressing about the pressure of completing the syllabus. They will have much more time to work on themselves, study, and evaluate their mistakes if they already know how much they have to do. Having a schedule will help them organise and manage their time for any hobbies or extracurricular activities they are interested in. They will maintain their academic standing in this manner.Hence, the NCERT Solutions For Class 11 Maths Chapter 14 Exercise 14.1 can truly help students maintain their academics.

Extramarks has a variety of preparation resources and study materials available to students. Like the NCERT Solutions For Class 11 Maths Chapter 14 Exercise 14.1, Extramarks provides other study material like  study notes and  test series for different exams and subjects. Students can join doubt sessions to get an answer to any academic problem they have. Students must focus on getting better at anything they are doing. They must practise the NCERT Solutions For Class 11 Maths Chapter 14 Exercise 14.1 with the purpose of recognising the they are currently making and getting better at them. Repeated practisewill help students identify their patterns and methods. They will be able to consciously navigate the question and answer it properly and correctly during the exam. Extramarks also provides mock tests for students to practise giving an exam. The mock test will help students identify their mistakes and understand the pattern of the examination.

Q.1 Which of the following sentences are statements? Give reasons for your answer.

(i) There are 35 days in a month.
(ii) Mathematics is difficult.
(iii) The sum of 5 and 7 is greater than 10.
(iv) The square of a number is an even number.
(v) The sides of a quadrilateral have equal length.
(vii) The product of (–1) and 8 is 8.
(viii) The sum of all interior angles of a triangle is 180°.
(ix) Today is a windy day.
(x) All real numbers are complex numbers.

Ans.
(i) This sentence is false because there is no month of 35 days. Hence, it is a statement.
(ii) Mathematics may be easy or difficult for some people. This sentence is not always true. So, it is not a statement.
(iii) It is true that the sum of 5 and 7 is greater than 10, so it is a statement.
(iv) It is false that square of a number is even number because square of even number is even and that of an odd number is odd. So, it is a statement.
(v) It is not true for all quadrilaterals. So, it is a statement.
(vi) It is an exclamation. So, it is not a statement.
(vii) It is false because product of (– 1) and 8 is – 8. So, it is a statement.
(viii) It is true because sum of interior angles of triangle is 180°. So, it is a statement.
(ix) This sentence is not a statement because this sentence is not correct for each day.
(x) It is true that all real numbers are complex numbers and it can be written in the form of a + i.0. So, it is a statement.

Q.2 Give three examples of sentences which are not statements. Give reasons for the answers.

Ans.
The three examples of sentences which are not statements are given below:

1. Delhi is far from here.
Reason: The word ‘here’ does not convey a particular location.

2. There are few students in that school.
Reason: The word ‘that’ does not indicate a definite school.

3. It is raining today.
Reason: The word ‘today’ does not indicate a particular date.

4. Today is Saturday.