# Maths Sets Questions And Answers Pdf

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Set theory , branch of mathematics that deals with the properties of well-defined collections of objects, which may or may not be of a mathematical nature, such as numbers or functions.

It is natural for us to classify items into groups, or sets, and consider how those sets overlap with each other. We can use these sets understand relationships between groups, and to analyze survey data. An art collector might own a collection of paintings, while a music lover might keep a collection of CDs.

These solutions for Sets are extremely popular among Class 9 students for Math Sets Solutions come handy for quickly completing your homework and preparing for exams. Write the following sets in roster form. Write the following symbolic statements in words. Write the following sets using listing method.

Write the following sets using rule method. Decide which of the following are equal sets and which are not? Justify your answer. Decide whether set A and B are equal sets. Give reason for your answer. Which of the following are empty sets? Write with reasons, which of the following sets are finite or infinite. So, C is a finite set.

So, D is a finite set. So, E is a finite set. So, G is an infinite set. Take the set of natural numbers from 1 to 20 as universal set and show set X and Y using Venn diagram.

P is the set of all residents in Pune. M is the set of all residents in Madhya Pradesh. I is the set of all residents in Indore. B is the set of all residents in India.

H is the set of all residents in Maharashtra. Which set of numbers could be the universal set for the sets given below? Disclaimer: The Universal set for the sets A, B and C can be set of whole numbers, integers, rational number of real numbers and so on. Disclaimer: Here also, the Universal set can be vary from the ablove. Let all the students of a class is an Universal set.

In a hostel there are students, out of which 80 drink tea, 60 drink coffee and 20 drink tea and coffee both. Find the number of students who do not drink tea or coffee. Let A be the set of students who drink tea, and B be the set of setudents who drink coffee. In a competitive exam 50 students passed in English. None of them fail in both the subjects. Find the number of students who passed at least in one of the subjects? A survey was conducted to know the hobby of students of class IX.

Out of which students informed about their hobby as rock climbing and students informed about their hobby as sky watching.

There are students who follow both the hobbies. Then how many students do not have any of the two hobbies? How many of them follow the hobby of rock climbing only? How many students follow the hobby of sky watching only? Let A be the set of students who follow the hobby of rock climbing, and B be the set of students who follow the hobby of sky watching. Observe the given Venn diagram and write the following sets.

Choose the correct alternative answer for each of the following questions. A set of intersecting points of parallel lines B set of even prime numbers. C Month of an english calendar having less than 30 days. Hence, the correct option is C.

Find the correct option for the given question. A Colours of the rainbow B Tall trees in the school campus. So, the collection of colours of the rainbow is a set. B Since, the tall trees in the school campus are not well defined. So, the collection of the tall trees in the school campus is not a set.

C Since, the rich people in the village is not well defined. So, the colection of the rich people in the village is not a set. D Since, the easy examples in the book is not well defined.

So, the collection of easy examples in the book is not a set. Out of persons in a group, 72 persons speak English and 43 persons speak French.

Each one out of persons speak at least one language. Then how many speak only English? How many speak only French?

How many of them speak English and French both? Let A be the set of persons speaking English and B be the set of persons speaking French. Out of these; 25 trees were planted by both of them together. How many trees were planted by Parth or Pradnya? Let A be the set of tress planted by Parth and B be the set of trees planted by Pradnya. In a class, 8 students out of 28 have a dog as their pet animal at home, 6 students have a cat as their pet animal.

Represent the union of two sets by Venn diagram for each of the following. Write the subset relations between the following sets.. Since, all squares are rectangle, all rectangles are parallelogram, all parallelograms are quadrilateral; and all squares are rhombus, all rhombus are parallelogram, all parallelograms are quadrilateral. Page No 3: Question 1: Write the following sets in roster form.

Question 2: Write the following symbolic statements in words. Question 3: Write any two sets by listing method and by rule method. Question 4: Write the following sets using listing method.

Question 5: Write the following sets using rule method. Question 1: Decide which of the following are equal sets and which are not? Question 2: Decide whether set A and B are equal sets. Question 3: Which of the following are empty sets? Question 4: Write with reasons, which of the following sets are finite or infinite.

So, B is an infinite set. Question 2: Take the set of natural numbers from 1 to 20 as universal set and show set X and Y using Venn diagram. Question 6: Which set of numbers could be the universal set for the sets given below? The universal set for the sets A, B and C can be set of natural numbers, i. Question 7: Let all the students of a class is an Universal set.

Question 2: In a hostel there are students, out of which 80 drink tea, 60 drink coffee and 20 drink tea and coffee both. Answer: Let A be the set of students who drink tea, and B be the set of setudents who drink coffee. Question 3: In a competitive exam 50 students passed in English. Question 4: A survey was conducted to know the hobby of students of class IX. Answer: Let A be the set of students who follow the hobby of rock climbing, and B be the set of students who follow the hobby of sky watching.

Question 5: Observe the given Venn diagram and write the following sets. Answer: We have,. Question 1: Choose the correct alternative answer for each of the following questions. Question 2: Find the correct option for the given question. C Rich people in the village D Easy examples in the book. Question 3: Out of persons in a group, 72 persons speak English and 43 persons speak French. Question 4: 70 trees were planted by Parth and 90 trees were planted by Pradnya on the occasion of Tree Plantation Week.

Question 6: In a class, 8 students out of 28 have a dog as their pet animal at home, 6 students have a cat as their pet animal. Question 7: Represent the union of two sets by Venn diagram for each of the following. Question 8: Write the subset relations between the following sets.. Answer: Since, all squares are rectangle, all rectangles are parallelogram, all parallelograms are quadrilateral; and all squares are rhombus, all rhombus are parallelogram, all parallelograms are quadrilateral.

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These solutions for Sets are extremely popular among Class 9 students for Math Sets Solutions come handy for quickly completing your homework and preparing for exams. Write the following sets in roster form. Write the following symbolic statements in words. Write the following sets using listing method. Write the following sets using rule method. Decide which of the following are equal sets and which are not? Justify your answer.

3. Refer to the diagram to answer the questions below. What set notation would you use to represent the following regions? Example: Region 3 could be written as.

Chapter 2: Review of Fractions. Algebra Review v. Divide: , 52 1 pt 5. Toggle navigation. Consumer Mathematics 1.

ML Aggarwal Class 11 Solutions for Maths was first published in , after publishing sixteen editions of ML Aggarwal Solutions Class 11 during these years show its increasing popularity among students and teachers. The subject contained in the ML Aggarwal Class 11 Solutions Maths Chapter 1 Sets has been explained in an easy language and covers many examples from real-life situations. Emphasis has been set on basic terms, facts, principles, chapters and on their applications.

German mathematician G. Cantor introduced the concept of sets. He had defined a set as a collection of definite and distinguishable objects selected by the means of certain rules or description. Set theory forms the basis of several other fields of study like counting theory, relations, graph theory and finite state machines. In this chapter, we will cover the different aspects of Set Theory.

### Word Problems on Sets

Skip to content Your Produce, Our Responsibility. The study of geometry, sequences, probability, etc. CBSE online tests in these subject will not only help students to check their performance but also ease their preparation for competitive exams. Important Questions For Class 11 Maths Chapter 1 Sets are given here to help the students with their exam preparation for the academic year of In this chapter, students taught about the concepts of Ordered pairs, Cartesian product of sets, the number of elements in the cartesian product of two finite sets, the definition of relation, pictorial diagrams, domain, co-domain and range of a relation. Register online for Maths tuition on Vedantu.

Solved basic word problems on sets:. Different types on word problems on sets:. In a group of 60 people, 27 like cold drinks and 42 like hot drinks and each person likes at least one of the two drinks. How many like both coffee and tea? There are 35 students in art class and 57 students in dance class. Find the number of students who are either in art class or in dance class. B be the set of students in dance class.

#### Set Theory

Она состояла из легких в использовании программ для домашнего компьютера, которые зашифровывали электронные послания таким образом, что они становились абсолютно нечитаемыми. Пользователь писал письмо, пропускал его через специальную программу, и на другом конце линии адресат получал текст, на первый взгляд не поддающийся прочтению, - шифр. Тот же, кто перехватывал такое сообщение, видел на экране лишь маловразумительную абракадабру. Расшифровать сообщение можно было лишь введя специальный ключ - секретный набор знаков, действующий как ПИН-код в банкомате. Ключ, как правило, был довольно длинным и сложным и содержал всю необходимую информацию об алгоритме кодирования, задействуя математические операции, необходимые для воссоздания исходного текста. Теперь пользователь мог посылать конфиденциальные сообщения: ведь если даже его послание перехватывалось, расшифровать его могли лишь те, кто знал ключ-пароль.

Войдите, - буркнул Нуматака. Массажистка быстро убрала руки из-под полотенца. В дверях появилась телефонистка и поклонилась: - Почтенный господин. - Слушаю. Телефонистка отвесила еще один поклон: - Я говорила с телефонной компанией.

ГЛАВА 25 Городская больница закрылась для посетителей. Свет в бывшем гимнастическом зале выключили. Пьер Клушар спал глубоким сном и не видел склонившегося над ним человека.

Как сказать… - Она заколебалась.  - Несколько месяцев назад к нам попал перехват КОМИНТ, на расшифровку ушло около часа, но там мы столкнулись с удивительно длинным шифром - что-то около десяти тысяч бит. - Около часа, говоришь? - хмуро спросил .

Четыре на шестнадцать. - Шестьдесят четыре, - сказала она равнодушно.  - Ну и. Дэвид приблизился поближе к камере. Теперь его лицо занимало экран целиком.

В комнате тут же стало тихо. Старший дешифровщик, нескладный тип по имени Морант, не выпускавший сигареты изо рта, недоверчиво уставился на Беккера. - То есть вы хотите сказать, что эти знаки имеют множественное значение.

Дэвид кивнул. - В следующем семестре я возвращаюсь в аудиторию. Сьюзан с облегчением вздохнула: - Туда, где твое подлинное призвание. Дэвид улыбнулся: - Да.

Любой шифр можно взломать - так гласит принцип Бергофского. Она чувствовала себя атеистом, лицом к лицу столкнувшимся с Господом Богом. - Если этот шифр станет общедоступным, - прошептала она, - криптография превратится в мертвую науку. Стратмор кивнул: - Это наименьшая из наших проблем.