case study class 11 maths pdf

CBSE Case Study Questions for Class 11 Maths Sets Free PDF

Mere Bacchon, you must practice the CBSE Case Study Questions Class 11 Maths Sets in order to fully complete your preparation . They are very very important from exam point of view. These tricky Case Study Based Questions can act as a villain in your heroic exams!

I have made sure the questions (along with the solutions) prepare you fully for the upcoming exams. To download the latest CBSE Case Study Questions , just click ‘ Download PDF ’.

CBSE Case Study Questions for Class 11 Maths Sets PDF

Checkout our case study questions for other chapters.

• Chapter 2 Relations and Functions Case Study Questions
• Chapter 3 Trigonometric Functions Case Study Questions
• Chapter 4 Principle of Mathematical Induction Case Study Questions
• Chapter 5 Complex Numbers and Quadratic Equations Case Study Questions

How should I study for my upcoming exams?

First, learn to sit for at least 2 hours at a stretch

Solve every question of NCERT by hand, without looking at the solution.

Solve NCERT Exemplar (if available)

Sit through chapter wise FULLY INVIGILATED TESTS

Practice MCQ Questions (Very Important)

Practice Assertion Reason & Case Study Based Questions

Sit through FULLY INVIGILATED TESTS involving MCQs. Assertion reason & Case Study Based Questions

After Completing everything mentioned above, Sit for atleast 6 full syllabus TESTS.

Contact Form

Privacy Policy

Syllabus for the Session 2023-24

CBSE Syllabus

Case Study Questions

Case Study on Sets      CS-2   CS-3   CS-4   CS-5

Case Study on Relations & Functions   CS-2   CS-3

Case Study on Trigonometric Functions

Case Study on Complex Numbers

Case Study on Linear Inequalities

Case Study on Permutations and Combinations

Case Study on Sequences & Series

Case Study on Straight Lines

Case Study on Conic Sections

Case Study on Statistics

Case Study on Probability

Pdf of  Case Studies

MCQs for Practice

Chapter 1 - Sets     

Chapter 2 - Relations & Functions

Chapter 3 - Trigonometric Functions

Chapter 4 - Complex Numbers & Quadratic Equations

Chapter 5 - Linear Inequalities

Chapter 6 - Permutations & Combinations

Chapter 7 - Binomial Theorem

Chapter 8 - Sequences & Series

Chapter 9 - Straight Line

Chapter 1 0 - Conic Sections

Chapter 1 1 - Introduction to Three-dimensional Geometry

Chapter 12 - Limits & D erivatives

Chapter 13 - Statistics

Chapter 14 - Probability

Answers of MCQs

Assertion & Reasoning Questions

Relations & Functions

Trigonometric Functions

Complex Numbers

Linear Inequalities

Permutations & Combinations

Binomial Theorem

Sequences & Series

Straight Lines

Conic Sections

Introduction to Three-Dimensional Geometry

Limits & derivatives

Probability

Topic Wise Assignments of Previous Year Questions

Relations and Functions

Straight Line

Limits & Derivatives

Question Papers - DoE, Delhi

Session 2015-2016

            SA2(QP)         SA2(MS)         COMP(QP)         COMP(MS)

Session 201 6 -20 17

            SA1(QP)      SA2(QP)         SA2(MS)         COMP(QP)        COMP(MS)

Session 201 7 -201 8

            SA2(QP)          SA2(MS)         COMP(QP)         COMP(MS)

Session 201 8 -201 9

            SA2(QP)          SA2(MS)         COMP(QP)         COMP(MS)

Session 201 9 -20 20

            SA2(QP)          SA2(MS)        

Session 2020-21

    Video Explanation:  Part A     Part B Section III     Part B Section IV   Part B Section V

Session 2021-22

Question Paper 

Video Explanation:  Section A     Section B     Section C

Session 2022-23

  Sample Question Paper for Mid-Term Exam

Video Explanation: Section A     Section B    Section C     Section D     Section E

Mid-Term Exam:  Question Paper

Video Explanation: Section A     Section B     Section C     Section D    Section E

Practice Paper for Final Exam

Video Explanation: Section A     Section B     Section C     Section D     Section E

Final Exam:  Question Paper     Marking Scheme

Video Explanation: Section A     Section B     Section C     Section D     Section E

Support Material Issued by DoE, Delhi

Session 202 3 -24

 Mid-Term Exam:  Question Paper

Video Explanation:   Section A    Section B     Section C     Section D     Section E

Practice Paper 1 for Final Exam: Question Paper

Practice Paper 2 for Final Exam: Question Paper

Short Capsules (Notes to Revise Concepts)

Chapter 1 - Sets

Chapter 4 - Mathematical Induction

Chapter 5 - Complex Numbers & Quadratic Equations

Chapter 6 - Linear Inequalities

Chapter 7 - Permutations & Combinations

Chapter 8 - Binomial Theorem

Chapter 9 - Sequences & Series

Chapter 10 - Straight Line

Chapter 11 - Conic Sections

Chapter 12 - Introduction to Three-dimensional Geometry

Chapter 13 - Limits & derivatives

Chapter 14 - Mathematical Reasoning

Chapter 15 - Statistics

Chapter 16 - Probability

Some Basic Concepts to Revise:

Number System

Mensuration Results

Quadratic Equations

Solution of Polynomial Inequality - Wavy Curve Method

Probability__Revision of the Topics studied in Earlier Classes  

Result Sheets

Trigonometric Identities

myCBSEguide

• Applied Maths
• Class 11 Applied Mathematics...

Class 11 Applied Mathematics Case Study Questions

Table of Contents

myCBSEguide App

Download the app to get CBSE Sample Papers 2023-24, NCERT Solutions (Revised), Most Important Questions, Previous Year Question Bank, Mock Tests, and Detailed Notes.

Finding good quality Class 11 Applied Mathematics case study questions can be quite challenging. This is because case study questions can be quite marked gaining, and hence a complete understanding of such Class 11 Applied Mathematics case study question is much needed. myCBSEguide is the only app where you’ll find ample Class 11 Applied Mathematics case study questions.

Trust us, if you’re serious about doing well in your CBSE exams, myCBSEguide is the app you need to have on your phone!

Applied Mathematics: Foundations for Class 11 students

Mathematics is already divided into two levels by CBSE: Basic (easy) and Standard (challenging, though not as difficult as Class 10). After Class 10, “Basic” is for students who do not wish to continue studying mathematics, and “Standard” is for those who want to continue

Now, the idea struck that people who don’t want to continue with math or aren’t permitted to do so with Mathematics (code 041), which covers Trigonometry, Vectors, 3D, etc., should still be given the opportunity to comprehend the practical necessity for it, therefore CBSE developed Applied Mathematics (code 241). Any skill topic has a certain job role as its focus. However, the elective course Applied Mathematics focuses on the field of Mathematics with a particular focus on its applications.

Much-needed Applied Mathematics Subject

Students who attend secondary school are better equipped to choose their career opportunities when they graduate. A crucial subject that aids students in selecting their career paths in mathematics. In higher education, mathematics is frequently employed as a supplementary topic in the fields of economics, commerce, social sciences, and many others. According to observations, students who want to study Commerce or Social Science in college may not be able to use the senior secondary mathematics curriculum designed for science topics. With this in mind, the mathematics curriculum for senior secondary classes is expanded to include an additional elective subject with the goal of giving pupils useful math training outside of the physical sciences.

Relevance of Class 11 Applied Mathematics Case Study Questions

• To understand the importance of data in modern society, case studies based on data from the fields of business, economics, psychology, education, biology, and census data will be used.
• Class 11 Applied Mathematics Case Study Questions also strengthen logical thinking abilities such as developing and verifying mathematical arguments, framing instances, and identifying counter examples.
• It motivates Class 11 Applied Mathematics students to do mathematical research and to forge linkages between mathematical concepts and other academic fields.
• Class 11 Applied Mathematics students will gain a solid grasp of descriptive and inferential statistics through the Class 11 Applied Mathematics case study questions, which they may then use to describe, evaluate, and draw conclusions from a given set of data.

Illustrations of Class 11 applied mathematics case study questions

The use of mathematical techniques to solve issues in the actual world is known as applied mathematics. A student’s capacity to apply mathematical ideas to situations that occur in the real world is evaluated using Class 11 applied mathematics case study questions

Below are some illustrations of applied mathematics case study problems for class 11

Class 11 applied mathematics case study question 1

Read the Case study given below and attempt any 4 subparts: A farmer, Ramgarh,  took a bank loan from SBI for repairing his house. But he could not pay the amount on time. This resulted in the accumulation of interest and the amount to pay reached Rs.1,00,000. After a few months, the farmer opened a shop that resulted in enough income and the income increased on a regular basis. So he decided to pay the bank loan in a different manner. The farmer visited the bank. He made an agreement with the bank that he will start paying the amount of Rs.1,00,000 without interest from Jan 2020. In January he will pay Rs.5000 and will increase the payment by Rs. 100 in each month, as shown in the figure.

Answer Key:

Class 11 applied mathematics case study question 2

Read the Case study given below and attempt any 4 sub parts: In a colony, as shown in the following picture, an electric pole has been installed. The pole has been tied by strong wire PQ to support this pole, some electricians were working on the staircase PS.

In the left and right side of the pole, two street lights are fixed at a height of 3m and 4m respectively. These lights are given supply by wires PM and PN. The height OP=5 m and O is the origin. Now answer the following questions:

• x + 15y = -75
• x – 15y + 75 = 0
• x + 5y = 50
• x – 5y = 20
• (b) x – 15y + 75 = 0

Class 11 applied mathematics case study question 3

• (b) 900 ways
• (c) 648 ways
• (d) 100 ways
• (a) 252 ways

Class 11 applied mathematics case study question 4

Read the Case study given below and attempt any 4 sub parts: villages of Shanu and Arun’s are 50km apart and are situated on Delhi Agra highway as shown in the following picture. Another highway YY’ crosses Agra Delhi highway at O(0,0). A small local road PQ crosses both the highways at pints A and B such that OA=10 km and OB =12 km. Also, the villages of Barun and Jeetu are on the smaller high way YY’. Barun’s village B is 12km from O and that of Jeetu is 15 km from O.

Now answer the following questions:

• 5x + 6y = 60
• 6x + 5y = 60
• (a) (10, 0)
• (b) 6x + 5y = 60
• (b) 60/√ 61 km
• (d) 2√61 km

Class 11 applied mathematics case study questions presented here are based on real-life applications of ideas learned in Class 11. These questions will assist students to understand how case study questions will be asked in papers. The questions are intended to assess the student’s comprehension of the principles as well as their ability to apply them to realistic conditions.

What students will study in Class 11 Applied Mathematics?

Students in Class 11 Applied Mathematics will study a number of topics. Topics in Class 11 Applied Mathematics are significant for students who want to career in mathematics or a related discipline. Students will build critical problem-solving abilities in their future studies and professions by studying Class 11 Applied mathematics themes.

CBSE Class 11 Applied Mathematics (Code No. 241)

myCBSEguide: App you can’t afford to miss!

If you’re a student in India, myCBSEguide is the app you can’t afford to miss! It’s packed with features to help you prepare for your exams, including sample papers, previous year papers, and revision notes. Plus, it’s completely free to download and use. So why wait? Get myCBSEguide today and start preparing for your exams!

Test Generator

Create question paper PDF and online tests with your own name & logo in minutes.

Question Bank, Mock Tests, Exam Papers, NCERT Solutions, Sample Papers, Notes

Related Posts

• Competency Based Learning in CBSE Schools
• Class 11 Physical Education Case Study Questions
• Class 11 Sociology Case Study Questions
• Class 12 Applied Mathematics Case Study Questions
• Class 11 Mathematics Case Study Questions
• Class 11 Biology Case Study Questions
• Class 12 Physical Education Case Study Questions
• Class 12 Computer Science Case Study Questions

Leave a Comment

Save my name, email, and website in this browser for the next time I comment.

(Education-Your Door To The Future)

CBSE Class 11 Term-1 Maths 2021-22: Topic-Wise MCQs, Case-Based & Assertion/Reason

CBSE Class 11 Term-1 Maths 2021-22: Topic-Wise MCQs, Case-Based & Assertion/Reason

In this Post I Have Provided Mathematics  Class 11 Chapter-Wise MCQs, Case-Based Question And Assertion/Reason For Term-1 Session 2021-22 With Solutions. CBSE has Recently Included These Types Of MCQs  And Assertion/Reason For Term-1 Exam 2020.   Every Student Knows these types of Questions Are Very Important For Their Term-1 Examination.

Any student who want to download these MCQs, then they have to click on given respective download links and it will be automatically download in your Google Drive.

CBSE Class 11th  Physics  Term-1 2021-22: Topic-Wise MCQs, Case-Based & Assertion/Reason

For Downlod   Click Here

Given Below Are The Class 11 Mathematics Chapter Name with Respective Download Links Containing Study Material:

CBSE Sample Papers For Class 11 Mathematics

CBSE sample paper for class  11th Maths  is an important tools to analyse itself. Before going to final examinations every student try to solve different types of sample question paper. It will enhance your knowledge and also provide to increase mental ability. Sample question paper are the best resources for the student to prepare for their Board examinations.

These sample question papers are very helpful to the student to get an entire experience before attempting the Board examinations papers. If students solve different types of sample question papers then they get the good confidence about the appropriate answer and they make good score in their Board examinations.

As every student know CBSE always change their exam pattern and also the model paper for their Board examinations that is why it is very important to all the student to understand the Model paper pattern before going to the final examinations.

In this articles I have provided different types of question papers on the basis of CBSE latest exam pattern which will definitely help to the student for the good preparation for their examinations.

In every year before the Board examination, CBSE provide model test paper to the student, on the basis of these model test papers I have prepared sample question papers for class  11th Maths  which will help to the student to understand the concept of model test paper and also it will help to the student for good preparation for their board examination.

CBSE Sample Paper:

Maths And Physics With Pandey Sir  is a website which provide free study material and notes to every students who are preparing for their Board examinations. By going in Level Section you can select CBSE sample papers. In this section, I have provided CBSE sample paper for class 9th to 12th.

Also if you are preparing for any competitive exams, they can find out study material and important notes in Level Section. In this website I have also provided most important MCQs questions, Assertion/Reason based questions and case study based questions for Board examinations or any other competitive examinations.

Benefits Of Solving CBSE Sample Papers for Examination:

Time Management:-

With the help of CBSE sample question papers you can make a proper strategy for their examinations also by practicing sample question papers you can manage your time during the Board examinations.

Examination Strategy:-

After practicing different types of sample question papers you can understand on which section you have spend more time and which section is easy and which section is hard. In this way you can make a proper examination strategy.

Self Evaluation:-

Self evaluation is very important to every student because with the help of self evaluation, student can understand their weak and strong point, which is very important for any Board examinations. After practicing more and more simple paper you can evaluate himself.

To Identify Silly Mistakes:-

As every student know there are many questions in their question paper which are very easy  but student make mistakes in this types of question. By solving different types of sample question papers you can reduce their silly mistakes.

Advantages Of CBSE Sample Question Papers:

* To get a good exam ideas about your examination paper patterns

* Student can easily access to the question papers

* It is very helpful to know about the mark distribution system.

* Helpful in self evaluation

* To know about the pattern of CBSE

* Help to adjust a proper time management

* Available in PDF format

* Chapter wise CBSE sample papers

* CBSE sample papers for class 10

* CBSE sample paper class 12

* CBSE sample paper 2021-22 class 12 Solutions

* CBSE sample paper class 11

* CBSE Sample paper class 9

• Privacy Policy
• Terms and Conditions

• Web Stories

Friday, December 17, 2021

Class 11 maths case study based questions chapter 1 sets term 1 with answer key.

Hello students, Welcome to Maths Easy Institute.  

0 comments:

Post a comment.

Please do not enter any spam link in the comment box.

Warning: Do Not Copy!

• Blog Archives

• Best Books for IIT JEE
• Best Colleges Of India
• class 10 Case Study Based questions
• Class 10 Maths MCQ
• Class 11 Maths Case Study Questions
• Class 11 Maths MCQ
• Class 12 Math Case Study questions
• Class 12 Maths MCQ
• JEE MAIN MCQ
• Maths Strategy JEE
• News for Students

Blog Archive

• ►  April (3)
• ►  March (2)
• ►  February (1)
• ►  January (5)
• JEE MAIN Maths MCQ Chapter Application Of Derivati...
• JEE MAIN Maths MCQ Chapter Relations and Functions...
• JEE MAIN Maths MCQ Chapter SETS with Answers
• Class 11 Maths MCQ Chapter 11 Conic Section CBSE B...
• Class 11 Maths Case Study Based Questions Chapter ...
• Class 11 Maths MCQ Chapter 7 Permutation and Combi...
• Class 12 Maths MCQ Chapter 7 Integration with Answ...
• Class 10 Maths MCQ chapter 7 Coordinate Geometry C...
• Class 10 Maths MCQ chapter 5 Arithmetic Progressio...
• ►  November (5)
• ►  October (6)
• ►  September (5)
• ►  April (4)
• ►  March (3)
• ►  October (2)
• ►  September (7)
• ►  August (2)
• ►  July (4)

• New QB365-SLMS
• NEET Materials
• JEE Materials
• Banking first yr Materials
• TNPSC Materials
• DIPLOMA COURSE Materials
• 5th Standard Materials
• 12th Standard Materials
• 11th Standard Materials
• 10th Standard Materials
• 9th Standard Materials
• 8th Standard Materials
• 7th Standard Materials
• 6th Standard Materials
• 12th Standard CBSE Materials
• 11th Standard CBSE Materials
• 10th Standard CBSE Materials
• 9th Standard CBSE Materials
• 8th Standard CBSE Materials
• 7th Standard CBSE Materials
• 6th Standard CBSE Materials
• Tamilnadu Stateboard
• Scholarship Exams
• Scholarships

Class 11th Applied Mathematics - Numbers, Quantification and Numerical Applications Case Study Questions and Answers 2022 - 2023

By QB365 on 09 Sep, 2022

QB365 provides a detailed and simple solution for every Possible Case Study Questions in Class 11 Applied Mathematics Subject - Numbers, Quantification and Numerical Applications, CBSE. It will help Students to get more practice questions, Students can Practice these question papers in addition to score best marks.

QB365 - Question Bank Software

Numbers, quantification and numerical applications case study questions with answer key.

11th Standard CBSE

Final Semester - June 2015

Applied Mathematics

On the basis of the above information answer the following questions: (i) The value of base in binary system is

(ii) Which of the following is not a binary number?

(iii) Which of the following is the correct representation of binary number?

(iv) If the decimal number is a fraction then its binary equivalent is obtained by ____________ the number continuously by 2.

(v) The binary equivalent of the decimal number 10 is

(ii) The value of log 5 + log 2 is equal to

(iii)The value of log  \(\frac{10}{2}+\log \frac{22}{11} \text { is }\)  

(iv) log  \(\frac{32}{4}\)   is equal to

(v)  \(\log \frac{25}{27}+\log \frac{81}{125}+\log \frac{25}{3} \text { is }\) equal to 

(ii) What is difference of two binary numbers 1011 –101 ?

(iii) What is the value of 11011 + 10101?

(iv) What is the value of 1101101–11011 ?

(v)  Find decimal equivalent of Binary Number(1011.011) 2 ?

(ii) The value of log 23 16 9  is equal 

(iii)  \(\frac{\log 27 \times \log 16 \times \log 125}{4}=\alpha \text {, then the value of } \alpha \text { is }\)  

(iv) If log a bc = x, log b ca = y, log c ab = z,  \(\text { then } \frac{1}{x+1}+\frac{1}{y+1}=\frac{1}{z+1}=\)  

(v)  If 2 log a = 4 log 3, then find the value of

I In cricket matches, scores of all the players are recorded to find the average of their batting and bowling. Data of few batsmen are recorded as mentioned below:

On the basis of this information teacher ask students various questions as mentioned below: (i) What is the average score of Sachin Tendulkar?

(ii) What is the average score of Rahul Dravid ?

(iii) What is the average score of Virendra Sehwag ?

(iv) What is the approximate average of sum of average scores of Sachin Tendulkar and Rahul Dravid?

(v) If the second and third score of Virendra Sehwag is replaced from 56 to 95 and 63 to 89 what will be the new average score ?

(ii) 'A' can do a piece of work in 5 days and 'B' can do it in 6 days. How long will they take if both work together ?

(iii)  A man can do a piece of work in 5 days, but with the help of his son, he can do it in 3 days. In what time can the son do it alone ?

(iv) 'A' does a work in 10 days and ’B’ does the same work in 15 days. In how many days they together will do the same work ?

(v) ’A’ can finish a work in 18 days and ’B’ can do the same work in half the time taken by ’A’ then, working together, what part of the same work they can finish in a day.

*****************************************

Numbers, quantification and numerical applications case study questions with answer key answer keys.

(i) (a):  False According to Law 1 log a ( mn ) = log a m + log an. So, log( a + b) ≠ log a + log (ii) (a): 1 log 5 + log 2 = log 10 = 1 (iii) (b): 1 \(\log \frac{10}{2}+\log \frac{22}{11}=\log 5+\log 2\)   = log 10 = 1 (iv) (a):  log 32 – log 4 Using property log  \(\frac{a}{b}=\log a-\log b\)   (v) (d):  log 5   \(\log \frac{25}{27}+\log \frac{81}{125}+\log \frac{25}{3}=\log \left(\frac{25}{27} \times \frac{81}{125} \times \frac{25}{3}\right)\)   = log 5

(i) (d): 3 log 2 8 = 3 log 2 2 = 3 (ii) (d): 12 \(\log _{2} 316^{9}=\frac{9}{2} \log _{2} 16\)   = 3 log 2 2 4 = 12 log 2 2 = 12 (iii) (b): 36   \(\frac{\log 27 \times \log 16 \times \log 125}{\log 3 \times \log 2 \times \log 5}=\frac{3 \log 3 \times 4 \log 2 \times 3 \log 5}{\log 3 \times \log 2 \times \log 5}\)   = 36 (iv) (d): 1 x + 1 = log a bc + log a a = log a abc y+ 1 = log b ca+ log b b= log b abc z+ 1 = log c ab+ log c c= log c abc Therefore,  \(\frac{1}{x+1}+\frac{1}{y+1}+\frac{1}{z+1}=\frac{1}{\log _{a} a b c}+\frac{1}{\log _{b} a b c}+\frac{1}{\log _{c} a b c}\)   \(\begin{aligned} &=\log _{a b c} a+\log _{a b c} b+\log _{a b c} c \end{aligned}\)   \(\begin{aligned} &=\log _{\pi / v} a b c=1\end{aligned}\)   (v) (b): 9 2 loga= 4 log 3 ⇒ loga 2 = log3 4 ⇒ 2 = (3 2 )2 ⇒ a = 3 2 = 9

(i) (b): 79.2 Sum of all scores = 396 Average =  \(\frac{396}{5}\)   = 79.2 (ii) (b): 80.6 Sum of all scores = 403 Average =  \(\frac{403}{3}\)   = 80.6  (iii) (d): 69.8 Sum of scores = 349 Average Score  \(\frac{349}{5}\)   = 69.8 (iv) (c): 80 Sum = 80.6 + 79.2 = 159.8 Average =  \(\frac{159.8}{2}\)   = 79.9 = 80 (approx.) (v) (b): 82.8 New scores = 97 , 95 , 89, 44, 89 Total of scores = 414 Average Score =  \(\frac{414}{5}\)   = 82.8

(i) (c): 15  Here, M 1 = 15, D 1 = 16, T 1  = 9 hours, M 2  = 18 and T 2 = 8 hours Using formula, M 1 × D1 × T 1 = M 2 × D 2 × T D2 =  \(\frac{M_{1} \times D_{1} \times T_{1}}{M_{2} \times T_{2}}\)   \(\Rightarrow \quad D_{2}=\frac{15 \times 16 \times 9}{18 \times 8}=15 \text { days }\)   Hence, required number of days are 15. (ii) (c):   \(2 \frac{8}{11}\)   Suppose, A can do a piece of work in D 1 days and B can do the same work in D 2 days. Here, given D 1 = 5 days and D 2 = 6 days Thus, A and B can do this work in  \(\frac{D_{1} \times D_{2}}{D_{1}+D_{2}} \text { days }\)   i.e.,  \(\frac{5 \times 6}{5+6}=\frac{30}{11}=2 \frac{8}{11} \text { days. }\)   (iii) (c):   \(7 \frac{1}{2}\)   Son's 1 day's work =  \(\left(\frac{1}{3}-\frac{1}{5}\right)=\frac{2}{15}\)   ༜ The son alone can do the work in  \(\frac{15}{2}=7 \frac{1}{2} \text { days }\) (iv) (d): 6 A's 1 day's work =  \(\frac{1}{10}\)   B's 1 day's work =  \(\frac{1}{15}\)   ༜  ( A + B )'s 1 day's work =  \(\frac{1}{10}+\frac{1}{15}=\frac{1}{6}\)  

So, A and B together can be the work in 6 days (v)   (b):   \(\frac{1}{6}\)     \(\frac{1}{6} \text { th part, because }\)   \(A \text { 's } 1 \text { day's work }=\frac{1}{18}\)   \(B^{\prime} \text { s } 1 \text { day's work }=\frac{1}{9}\)   \(\therefore \ (A+B)^{\prime} \mathrm{s} 1 \text { work }=\left(\frac{1}{18}+\frac{1}{9}\right)=\frac{1}{6}\)   Hence, A and B together finish 16 th part of the work in a day.

Related 11th Standard CBSE Applied Mathematics Materials

11th standard cbse syllabus & materials, cbse 11th physics motion in a straight line chapter case study questions with answers, cbse 11th physics units and measurements chapter case study questions with answers, cbse 11th chemistry structure of atom chapter case study question with answers, cbse 11th chemistry some basic concept of chemistry chapter case study questions with answers, 11th biology biological classification chapter case study question with answers cbse, 11th biology the living world chapter case study question with answers cbse, class 11th business studies - internal trade case study questions and answers 2022 - 2023, class 11th business studies - social responsibilities of business and business ethics case study questions and answers 2022 - 2023, class 11th business studies - emerging modes of business case study questions and answers 2022 - 2023, class 11th business studies - business service case study questions and answers 2022 - 2023, class 11th business studies - private, public and global enterprises case study questions and answers 2022 - 2023, class 11th business studies - business, trade and commerce case study questions and answers 2022 - 2023, class 11th biology - chemical coordination and integration case study questions and answers 2022 - 2023, class 11th biology - neural control and coordination case study questions and answers 2022 - 2023, class 11th biology - locomotion and movement case study questions and answers 2022 - 2023.

Class VI to XII

Tn state board / cbse, 3000+ q&a's per subject, score high marks.

11th Standard CBSE Study Materials

11th Standard CBSE Subjects

Talk to our experts

1800-120-456-456

• Important Questions for CBSE Class 11 Maths (2024-25)

CBSE Class 11 Maths Chapter wise Important Questions - Free PDF Download

One of the most important subjects that students attempt in the science stream is Mathematics. For those taking exams in their eleventh grade, having the important questions for class 11 maths beforehand can help prepare better. We at Vedantu provide you with the opportunity to gain a lot of advantages when it comes to studying before the exam:

We provide the important questions for class 11 maths laid out chapter wise with solutions. Students can accordingly set their schedule

All the questions for the examination are available in a free PDF download any time of the year so you can choose when you want to include it in your study schedule

The questions are all prepared in the latest CBSE syllabus of the latest year of the CBSE board and are updated every annual academic year

Solving these questions will give students the advantage of preparing themselves better before their class 11 examinations

The NCERT important questions for class 11 Maths with answers are present for all chapters from Sets to Probability

There are a whole host of other advantages that come when you want to download the class 11 Maths NCERT important questions available as a free PDF download

Download CBSE Class 11 Maths Important Questions 2024-25 PDF

Also, check CBSE Class 11 Maths Important Questions for All chapters:

Chapter wise Important Questions for CBSE Class 11 Maths

Important Questions for Class 11 Maths CBSE Board

There are a lot of advantages that come with our different services for education. We provide private tutors for students that will help them understand the important questions for class 11 Maths that come chapter wise with free PDF solutions better. Here, they can solve problems at their own pace and also clear their doubts with the tutor online.

Our tutors are experienced and will be able to streamline themselves to the student's schedule. Students can also decide a schedule that works for them so that they can study at a pace that suits them. Our teachers will be able to guide you better when it comes to how you must pace your answers, tackling the right questions and practising well so you can perform better.

CBSE Class 11 Maths Weightage 2024-25

Vedantu Gives the Edge

At Vedantu, you will be able to also tap into various that we can provide to you such as CBSE Important question papers , revision notes , CBSE syllabus and so much more.

Students must enjoy their studies, and we want to help them understand their lessons better instead of just studying by rote.

We provide students with personal teachers for subjects such as Maths, Physics, Chemistry and Biology . They know exactly what sort of questions appear in exams due to their vast years of experience and this can be very helpful for students who are slow learners.

Parents can also breathe easy knowing that their kids are studying in a safe environment and can also contact these teachers to address their concerns. The overall goal is the same, and with us, the extra incentive of enjoying studying is always a bonus.

Other CBSE Class 11 Important Questions Links

Important related links for cbse class 11.

FAQs on Important Questions for CBSE Class 11 Maths (2024-25)

Q 1: How Vedantu’s answers assist us in scoring good marks in the exam?

All our solutions are framed with the aid of our subject matter specialists of maths and that they have given every part of the bankruptcy at the side of the exercise questions which might be referred to at the give up of the bankruptcy. Our Solutions for Class 11 Maths will provide an explanation for to you all the essential major points of the chapter. This will basically help you in building up a sturdy basis of the challenge and eventually you can also enhance your grades with it. The answers supplied through us will help in revision before the examination. These paintings as last-minute have a look at notes for your exam which could be visible just earlier than the examination to memorise all the key factors.

Q 2: What are the important concepts in chapter 11 conic sections?

The chapter covers topics like parts of a cone which teaches about circle, ellipse, parabola, hyperbola and degenerate conic sections . You will also learn about Relationship between the semi-major axis, semi-minor axis and the distance of the focus from the centre of the ellipse, Standard equations of an ellipse, Standard equations of a parabola and Special cases of an ellipse .

The chapter also discusses on Eccentricity, Latus rectum, Standard equation of Hyperbola and minor axis of the distance . This is one of the important chapters of class 11 maths which also explains about the equilateral triangle and equations of the hyperbola.

Q 3: What are the principal topics in relation and functions?

The chapter introduces you to the relations and features. You will particularly encounter the Cartesian Product of Sets and Relations . Here, you may, in particular, realize approximately the real-life model of cartesian products which are explained with the assist of Lindt chocolates are available in 5 shapes, three flavours and in six colours.

You can also be taught of functions which encompass Some capabilities and their graphs along with Identity feature, Constant function, Polynomial feature, Rational features, The Modulus function, Signum feature and Greatest integer characteristic. You will also study about the Algebra of real functions which incorporates Addition of two actual features, Subtraction of a real character from another, Multiplication with the aid of a scalar, Multiplication of two real capabilities and The quotient of two real capabilities.

Q 4: What will I learn in chapter four Mathematical Induction?

Mathematical Induction is a specific technique that is primarily used to prove a given statement or a theorem. The important section of this method is that the theorem should always be true for every natural number given. It is one of the useful methods as you do not have to solve an equation or a statement for every possible value it could take.

You will get familiar with the following pointers while studying Mathematical Induction:

Proving the given illustration or statement is the primary motive.

The proof should always stand true for all the values consisting of natural numbers.

The statement should be true for the initial value as well.

The statement should be true for all other values till nth iteration.

Every step involved in the proof must be justified and has to be true.

Q5. Name the important concepts discussed in Chapter 11 Conic Sections of NCERT Solutions for Class 11 Maths.

Chapter 11 "Conic Sections" deals with various conic sections like circles, ellipses, parabolas, and hyperbolas. The important topics of this chapter are as follows:

a) Sections of a cone

b) Circles

c) Ellipses

d) Special cases of an ellipse

e) Parabolas

f) Standard equations of a parabola

g) Hyperbolas

h) Degenerated Conic Sections

i) Latus rectum

j) Eccentricity 

k) Standard equation of an ellipse

Important questions on all these topics are available here.

These solutions are available on Vedantu's official website( vedantu.com ) and mobile app free of cost.

Q6. What are the main topics covered in important questions of “Relations and Functions” for Class 11 Maths?

"Relations and Functions" is Chapter 2 in the NCERT textbook for Class 11. This is an important chapter and includes the following topics:

Cartesian products of sets

Functions and their graphs

   i) Identity function

            ii) Polynomial function

            iii) Constant function

            iv) Rational function

            v) Modulus function

            vi) Signum function

            vii) Greatest integer function

Algebra of real functions

Students can find all the important questions from this chapter here.

Q7. Which book is best for Class 11 Maths?

Ans: The most important book for Class 11 Mathematics is the main NCERT textbook. Almost all questions in the CBSE exam are directly asked from the NCERT textbook. For this very reason, it is extremely important to understand the concepts mentioned in the NCERT textbook well and practice the NCERT example, and practice questions thoroughly.

Apart from this, students can also practice Vedantu's important questions, NCERT Solutions, sample papers, and previous years' question papers for thorough practice.

Q8 . How many chapters are there in Class 11 Maths?

Ans:   Class 11 CBSE Maths curriculum consists of a total of 16 chapters.  Vedantu has carefully enlisted the important questions from all these chapters. Vedantu's Important Questions for Class 11 Mathematics will allow the students to practice questions that are significant from the exam point of view. It will also teach them the right way to compose step-by-step answers to these questions so they do not lose important marks in exams due to incomplete answers.

Q9. Is Class 11 Maths tough?

Ans: Class 11 Mathematics is definitely not a child's play. It has some complicated topics as well. However, this does not mean that with proper guidance, planning, and effort you cannot ace this subject. You can even top in Class 11 Maths if you follow the following steps:

a) Understand and practice NCERT Solutions and example questions thoroughly.

b) Refer to Vedantu's Important questions and practice

c) Solve loads of sample papers and previous years' question papers.

d) Practice over and over again.

Important Questions for CBSE Class 11

Cbse class 11 study materials, home tuitions in india.

• Class 11 Maths
• Chapter 16: Probability

Important Questions for Class 11 Maths Chapter 16 - Probability

Important questions for class 11 Maths Chapter 16 Probability are given here, which are taken from the previous year’s question paper. Go through all the problems provided here, which will help you to score good marks in Class 11 final examination. Before solving the problems, be thorough with the concepts covered in the chapter – Probability. All the important questions in chapter 16 probability are solved here in a step-by-step procedure. Students can prepare these questions for the upcoming examinations because most of the questions are asked from the previous year’s question papers. Also, get important questions for class 11 Maths for all the chapters at BYJU’S.

Class 11 Maths Chapter 16 – Probability covers important concepts, such as random experiment, algebra of events, events and types of events, axiomatic approach to the probability

Also, check:

• Important 1 Mark Questions for CBSE Class 11 Maths
• Important 4 Marks Questions for CBSE Class 11 Maths
• Important 6 Marks Questions for CBSE Class 11 Maths

Important Questions for Class 11 Maths Chapter 16 Probability with Solutions

The most important questions for class 11 Maths Chapter 16 probability are provided with solutions. It includes MCQs, short type and long type answers. Practice these problems in a smart way a achieve good marks in the examination.

Question 1:

If P(A) is ⅗. Find P (not A)

Given that: P(A) = ⅗

To find P(not A) = 1 – P(A)

P (not A) = 1- ⅗

Therefore, P(not A) = ⅖.

Question 2:

Find the probability that when a hand of 7 cards are drawn from the well-shuffled deck of 52 cards, it contains

(i) all kings and (ii) 3 kings

(i) To find the probability that all the cards are kings:

If 7 cards are chosen from the pack of 52 cards

Then the total number of combinations possible is: 52 C 7

= 52!/ (7! 45!)

Assume that A be the event that all the kings are selected

We know that there are only 4 kings in the pack of 52 cards

Thus, if 7 cards are chosen, 4 kings are chosen out of 4, and 3 should be chosen from the 48 remaining cards.

Therefore, the total number of combinations is:

n(A) = 4 C 4 x 48 C 3

= 48!/3! 45!

Therefore, P(A) = n(A)/n(S)

Therefore, the probability of getting all the 7 cards are kings is 1/7735

(ii) To find the probability that 3 cards are kings:

Assume that B be the event that 3 kings are selected.

Thus, if 7 cards are chosen, 3 kings are chosen out of 4, and 4 cards should be chosen from the 48 remaining cards.

n(B) = 4 C 3 x 48 C 4

Therefore, P(B) = n(B)/n(S)

Therefore, the probability of getting 3 kings is 9/1547

Question 3:

An urn contains 6 balls of which two are red and four are black. Two balls

are drawn at random. The probability that they are of different colours is

(i)⅖ (ii)1/15 (iii)8/15 (iv)4/15

A correct answer is  an option (c)

Explanation:

Given that, the total number of balls = 6 balls

Let A and B be the red and black balls respectively,

The probability that two balls drawn, are different = P(the first ball drawn is red)(the second ball drawn is black)+ P(the first ball drawn is black)P(the second ball drawn is red)

= (2/6)(4/5) + (4/6)(2/5)

=(8/30)+ (8/30)

Question 4:

A couple has two children,

(i) Find the probability that both children are males if it is known that at least one of the children is male.

(ii) Find the probability that both children are females if it is known that the elder child is a female.

Let, the boy be denoted by b & girl be denoted by g

So, S = {(b, b) ,(b, g),(g, b), (g, g)}

To find probability that both children are males, if known that at least one of children is male

Let E : Both children are males F : At least one child is male

To find P(E|F)

E : Both children are males

E = {(b, b)}

F : At least one child is male

F = {(b, g), (g, b), (b, b)}

E ∩ F = {(b, b)}

P(E ∩ F ) = 1/4

P(E|F) = (𝑃(𝐸 ∩ 𝐹))/(𝑃(𝐹))

= (1/4)/(3/4)

∴ Required Probability is 𝟏/𝟑

S = {(b, b) ,(b, g),(g, b), (g, g)}

To find the probability that both children are females, if from that the elder child is a female.

Let E : both children are females F : elder child is a female

E : both children are females

E = {(g, g)}

F : elder child is a female

F = {(g, b), (g, g)}

P(F) = 2/4=1/2

Also, E ∩ F = {(g, g)}

So, P(E ∩ F) = 1/4

= (1/4)/(1/2)

Question 5:

One card is drawn from a well-shuffled pack of 52 cards. What is the probability that a card will be

(i) a diamond

(ii) Not an ace

(iii) a black card

(iv) not a diamond

(i) the probability that a card is a diamond

We know that there are 13 diamond cards in a deck. Therefore, the required probability is:

P( getting a diamond card) = 13/52 = ¼

(ii) the probability that a card is not an ace

We know that there are 4 ace cards in a deck.

Therefore, the required probability is:

P(not getting an ace card) = 1-( 4/52)

= 1- (1/13)

(iii) the probability that a card is a black card

We know that there are26 black cards in a deck.

P(getting a black card) = 26/52 = ½

(iv) the probability that a card is not a diamond

We know that there are 13 diamond cards in a deck.

We know that the probability of getting a diamond card is 1/4

P( not getting a diamond card) = 1- (1/4)

Question 6:

A pack of 50 tickets is numbered from 1 to 50 and is shuffled. Two tickets are drawn at random. Find the probability that (i) both the tickets drawn bear prime numbers (ii) Neither of the tickets drawn bear prime numbers.

The total number of tickets = 50

Prime numbers from 1 to 50 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, and 47.

The total number of prime numbers between 1 and 50 is 15.

(i) Probability that both tickets are drawn bears prime numbers:

P(Both tickets bearing prime numbers ) = 15 C 2 / 50 C 2

Hence, the probability that both tickets are drawn bear prime numbers is 3/35.

(ii) Probability that neither of the tickets drawn bears prime numbers:

P ( Neither of the tickets bearing prime numbers) = 35 C 2 / 50 C 2

Therefore, the probability that neither of the tickets drawn bears a prime number is 17/35.

Question 7:

20 cards are numbered from 1 to 20. If one card is drawn at random, what is the probability that the number on the card is:

• Prime number
• A multiple of 5
• Not divisible by 3

Let S be the sample space.

S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}

(1) Probability that the card drawn is a prime number:

Let E 1 be the event of getting a prime number.

E 1 = {2, 3, 5, 7, 11, 13, 17, 19}

Hence, P(E 1 ) = 8/20 = 2/5.

(2) Probability that the card drawn is an odd number:

Let E 2 be the event of getting an odd number.

E 2 = {1, 3, 5, 7, 9, 11, 13, 15, 17, 19}

Hence, P(E 2 ) = 10/20 = 1/2.

(3) Probability that the card drawn is a multiple of 5

Let E 3 be the event of getting a multiple of 5

E 3 = {5, 10, 15, 20}

Hence, P(E 3 ) = 4/20 = 1/5.

(4) Probability that the card drawn is not divisible by 3:

Let E 4 be the event of getting a number that is not divisible by 3.

E 4 = {1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 16, 17, 19, 20}

Hence, P(E 4 ) = 14/20 = 7/10.

Important Questions for Class 11 Maths Chapter 16 Probability – Practice Questions

Practice the problems given below:

• What is the sample space for throwing a die?
• What is the sample space for tossing a coin?
• What is the sample space for the simultaneous toss of a die and a coin?
• In a single throw of two dice, find the probability of obtaining a total of 8.
• A bag contains 9 red and 12 white balls. One ball is drawn at random. Find the probability that the ball is drawn is red.
• What is the probability that the ordinary year has 53 Sundays?
• A card is drawn at random from a well-shuffled pack of 52 cards. Find the probability of its being a spade or a king.
• A card is drawn from a deck of 52 cards. Find the probability of getting a king or a heart or a red card?
• A number is chosen from the number 1 to 100. Find the probability of its being divisible by 4 or 6.
• Two cards are drawn at random from a pack of 52 cards. What is the probability that both the drawn cards are aces?
• A die is rolled. Let E be the event “die shows 4” and F be the event “die shows even number”. Are E and F mutually exclusive?
• A card is drawn at random from a well-shuffled pack of 52 cards. Find the probability of being either red or king.

To learn more important questions for class 11 Maths chapters, stay tuned with BYJU’S – The Learning App and download the app to learn all Maths-related concepts quickly by exploring more videos.

Leave a Comment Cancel reply

Your Mobile number and Email id will not be published. Required fields are marked *

Request OTP on Voice Call

Post My Comment

• Share Share

Register with BYJU'S & Download Free PDFs

Register with byju's & watch live videos.

CBSE Class 11 Maths – Chapter 1 Sets- Study Materials

NCERT Solutions Class 11 All Subjects Sample Papers Past Years Papers

Sets : Notes and Study Materials -pdf

• Concepts of  Sets
• Sets Master File
• Sets Revision Notes
• R D Sharma Solution : Sets
• NCERT Solution  Sets
• NCERT  Exemplar Solution Sets
• Sets : Solved Example 1

CBSE Class 11 Maths Notes Chapter 1 Sets

Set A set is a well-defined collection of objects.

Representation of Sets There are two methods of representing a set

• Roster or Tabular form In the roster form, we list all the members of the set within braces { } and separate by commas.
• Set-builder form In the set-builder form, we list the property or properties satisfied by all the elements of the sets.

Types of Sets – Class 11 Maths Notes

• Empty Sets:  A set which does not contain any element is called an empty set or the void set or null set and it is denoted by {} or Φ.
• Singleton Set:  A set consists of a single element, is called a singleton set.
• Finite and infinite Set:  A set which consists of a finite number of elements, is called a finite set, otherwise the set is called an infinite set.
• Equal Sets:  Two sets A and 6 are said to be equal, if every element of A is also an element of B or vice-versa, i.e. two equal sets will have exactly the same element.
• Equivalent Sets:  Two finite sets A and 6 are said to be equal if the number of elements are equal, i.e. n(A) = n(B)

Subset – Class 11 Maths Notes

A set A is said to be a subset of set B if every element of set A belongs to set B. In symbols, we write A ⊆ B, if x ∈ A ⇒ x ∈ B

• Every set is o subset of itself.
• The empty set is a subset of every set.
• The total number of subsets of a finite set containing n elements is 2 n .

Intervals as Subsets of R Let a and b be two given real numbers such that a < b, then

• an open interval denoted by (a, b) is the set of real numbers {x : a < x < b}.
• a closed interval denoted by [a, b] is the set of real numbers {x : a ≤ x ≤ b}.
• intervals closed at one end and open at the others are known as semi-open or semi-closed interval and denoted by (a, b] is the set of real numbers {x : a < x ≤ b} or [a, b) is the set of real numbers {x : a ≤ x < b}.

Power Set The collection of all subsets of a set A is called the power set of A. It is denoted by P(A). If the number of elements in A i.e. n(A) = n, then the number of elements in P(A) = 2 n .

Universal Set A set that contains all sets in a given context is called the universal set.

Venn-Diagrams Venn diagrams are the diagrams, which represent the relationship between sets. In Venn-diagrams the universal set U is represented by point within a rectangle and its subsets are represented by points in closed curves (usually circles) within the rectangle.

Operations of Sets Union of sets: The union of two sets A and B, denoted by A ∪ B is the set of all those elements which are either in A or in B or in both A and B. Thus, A ∪ B = {x : x ∈ A or x ∈ B}.

Intersection of sets:  The intersection of two sets A and B, denoted by A ∩ B, is the set of all elements which are common to both A and B. Thus, A ∩ B = {x : x ∈ A and x ∈ B}

Disjoint sets:  Two sets Aand Bare said to be disjoint, if A ∩ B = Φ.

Intersecting or Overlapping sets:  Two sets A and B are said to be intersecting or overlapping if A ∩ B ≠ Φ

Difference of sets:  For any sets A and B, their difference (A – B) is defined as a set of elements, which belong to A but not to B. Thus, A – B = {x : x ∈ A and x ∉ B} also, B – A = {x : x ∈ B and x ∉ A}

Complement of a set:  Let U be the universal set and A is a subset of U. Then, the complement of A is the set of all elements of U which are not the element of A. Thus, A’ = U – A = {x : x ∈ U and x ∉ A}

Some Properties of Complement of Sets

Symmetric difference of two sets:  For any set A and B, their symmetric difference (A – B) ∪ (B – A) (A – B) ∪ (B – A) defined as set of elements which do not belong to both A and B. It is denoted by A ∆ B. Thus, A ∆ B = (A – B) ∪ (B – A) = {x : x ∉ A ∩ B}.

Laws of Algebra of Sets – Class 11 Maths Notes

Idempotent Laws:  For any set A, we have

Identity Laws:  For any set A, we have

Commutative Laws:  For any two sets A and B, we have

• A ∪ B = B ∪ A
• A ∩ B = B ∩ A

Associative Laws:  For any three sets A, B and C, we have

• A ∪ (B ∪ C) = (A ∪ B) ∪ C
• A ∩ (B ∩ C) = (A ∩ B) ∩ C

Distributive Laws:  If A, B and Care three sets, then

• A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)
• A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

De-Morgan’s Laws:  If A and B are two sets, then

• (A ∪ B)’ = A’ ∩ B’
• (A ∩ B)’ = A’ ∪ B’

Formulae to Solve Practical Problems on Union and Intersection of Two Sets Let A, B and C be any three finite sets, then

• n(A ∪ B) = n(A) + n (B) – n(A ∩ B)
• If (A ∩ B) = Φ, then n (A ∪ B) = n(A) + n(B)
• n(A – B) = n(A) – n(A ∩ B)
• n(A ∪ B ∪ C) = n(A) + n(B) + n(C) – n(A ∩ B) – n(B ∩ C) – n(A ∩ C) + n(A ∩ B ∩ C)

Sets Class 11 MCQs Questions with Answers

Question 1. If A, B and C are any three sets, then A – (B ∪ C) is equal to (a) (A – B) ∪ (A – C) (b) (A – B) ∪ C (c) (A – B) ∩ C (d) (A – B) ∩ (A – C)

Answer: (d) (A – B) ∩ (A – C) Hint: Given A, B and C are any three sets. Now, A – (B ∪ C) = (A – B) ∩ (A – C)

Question 2. (A’)’ = ? (a) ∪ – A (b) A’ (c) ∪ (d) A

Answer: (d) A Hint: (A’)’ = A

Question 3. A – B is read as? (a) Difference of A and B of B and A (b) None of the above (c) Difference of B and A (d) Both a and b

Answer: (a) Difference of A and B of B and A Hint: A – B will read as difference of A and B of B and A Ex: Let A = {1, 2, 3, 4, 5} and B = {1, 3, 5, 7} Now, A – B = {2, 4}

Question 4. If A, B and C are any three sets, then A × (B ∪ C) is equal to (a) (A × B) ∪ (A × C) (b) (A ∪ B) × (A ∪ C) (c) None of these (d) (A × B) ∩ (A × C)

Answer: (a) (A × B) ∪ (A × C) Hint: Given A, B and C are any three sets. Now, A × (B ∪ C) = (A × B) ∪ (A × C)

Question 5. IF A = [5, 6, 7] and B = [7, 8, 9] then A ∪ B is equal to (a) [5, 6, 7, 8, 9] (b) [5, 6, 7] (c) [7, 8, 9] (d) None of these

Answer: (a) [5, 6, 7, 8, 9] Hint: Given A = [5, 6, 7] and B = [7, 8, 9] then A ∪ B = [5, 6, 7, 8, 9]

Question 6. Which of the following sets are null sets (a) {x: |x |< -4, x ?N} (b) 2 and 3 (c) Set of all prime numbers between 15 and 19 (d) {x: x < 5, x > 6}

Answer: (b) 2 and 3 Hint: 2 and 3 is the null set.

Question 7. IF R = {(2, 1),(4, 3),(4, 5)}, then range of the function is? (a) Range R = {2, 4} (b) Range R = {1, 3, 5} (c) Range R = {2, 3, 4, 5} (d) Range R {1, 1, 4, 5}

Answer: (b) Range R = {1, 3, 5} Hint: Given R = {(2, 1),(4, 3),(4, 5)} then Range(R) = {1, 3, 5}

Question 8. The members of the set S = {x | x is the square of an integer and x < 100} is (a) {0, 2, 4, 5, 9, 58, 49, 56, 99, 12} (b) {0, 1, 4, 9, 16, 25, 36, 49, 64, 81} (c) {1, 4, 9, 16, 25, 36, 64, 81, 85, 99} (d) {0, 1, 4, 9, 16, 25, 36, 49, 64, 121}

Answer: (b) {0, 1, 4, 9, 16, 25, 36, 49, 64, 81} Hint: The set S consists of the square of an integer less than 100 So, S = {0, 1, 4, 9, 16, 25, 36, 49, 64, 81}

Question 9. In a class of 120 students numbered 1 to 120, all even numbered students opt for Physics, whose numbers are divisible by 5 opt for Chemistry and those whose numbers are divisible by 7 opt for Math. How many opt for none of the three subjects? (a) 19 (b) 41 (c) 21 (d) 57

Answer: (b) 41 Hint: The number of students who took at least one of the three subjects can be found by finding out A ∪ B ∪ C, where A is the set of those who took Physics, B the set of those who took Chemistry and C the set of those who opted for Math. Now, A ∪ B ∪ C = A + B + C – (A ∩ B + B ∩ C + C ∩ A) + (A ∩ B ∩ C) A is the set of those who opted for Physics = 120/2 = 60 students B is the set of those who opted for Chemistry = 120/5 = 24 C is the set of those who opted for Math = 120/7 = 17 The 10th, 20th, 30th….. numbered students would have opted for both Physics and Chemistry. Therefore, A ∩ B = 120/10 = 12 The 14th, 28th, 42nd….. Numbered students would have opted for Physics and Math. Therefore, C ∩ A = 120/14 = 8 The 35th, 70th…. numbered students would have opted for Chemistry and Math. Therefore, B ∩ C = 120/35 = 3 And the 70th numbered student would have opted for all three subjects. Therefore, A ∪ B ∪ C = 60 + 24 + 17 – (12 + 8 + 3) + 1 = 79 Number of students who opted for none of the three subjects = 120 – 79 = 41

Question 10. { (A, B) : A² +B² = 1} on the sets has the following relation (a) reflexive (b) symmetric (c) none (d) reflexive and transitive

Answer: (b) symmetric Hint: Given {(a, b) : a² + b² = 1} on the set S. Now a² +b² = b² + a² = 1 So, the given relation is symmetric.

Question 11. Two finite sets have N and M elements. The number of elements in the power set of first set is 48 more than the total number of elements in power set of the second test. Then the value of M and N are (a) 7, 6 (b) 6, 4 (c) 7, 4 (d) 6, 3

Answer: (b) 6, 4 Hint: Let A and B be two sets having m and n numbers of elements respectively Number of subsets of A = 2m Number of subsets of B = 2n Now, according to question 2m – 2n = 48 ⇒ 2n(2m – n – 1) = 24(22 – 1) So, n = 4 and m – n = 2 ⇒ m – 4 = 2 ⇒ m = 2 + 4 ⇒ m = 6

Question 12. The range of the function f(x) = 3x – 2‚ is (a) (- ∞, ∞) (b) R – {3} (c) (- ∞, 0) (d) (0, – ∞)

Answer: (a) (- ∞, ∞) Hint: Let the given function is y = 3x – 2 ⇒ y + 2 = 3x ⇒ x = (y + 2)/3 Now x is saisfied by all values. So, Range{f(x)} = R = (-∞, ∞)

Question 13. If A, B, C be three sets such that A ∪ B = A ∪ C and A ∩ B = A ∩ C, then, (a) B = C (b) A = C (c) A = B = C (d) A = B

Answer: (a) B = C Hint: Given A, B, C be three sets such that A ∪ B = A ∪ C and A ∩ B = A ∩ C then B = C

Question 14. In 2nd quadrant? (a) X < 0, Y < 0 (b) X < 0, Y > 0 (c) X > 0, Y > 0 (d) X > 0, Y < 0

Question 15. How many rational and irrational numbers are possible between 0 and 1? (a) 0 (b) Finite (c) Infinite (d) 1

Answer: (c) Infinite Hint: There are infinite many rational and irrational numbers are possible between 0 and 1 This is because between any two numbers, there are infinite numbers.

Question 16. Empty set is a? (a) Finite Set (b) Invalid Set (c) None of the above (d) Infinite Set

Answer: (a) Finite Set Hint: In mathematics, and more specifically set theory, the empty set is the unique set having no elements and its size or cardinality (count of elements in a set) is zero. So, an empty set is a finite set.

Question 17. If A = [5, 6, 7] and B = [7, 8, 9] then A U B is equal to (a) [5, 6, 7, 8, 9] (b) [5, 6, 7] (c) [7, 8, 9] (d) None of these

Answer: (a) [5, 6, 7, 8, 9] Hint: Given A = [5, 6, 7] and B = [7, 8, 9] then A U B = [5, 6, 7, 8, 9]

Question 18. Which of the following two sets are equal? (a) A = {1, 2} and B = {1} (b) A = {1, 2} and B = {1, 2, 3} (c) A = {1, 2, 3} and B = {2, 1, 3} (d) A = {1, 2, 4} and B = {1, 2, 3}

Answer: (c) A = {1, 2, 3} and B = {2, 1, 3} Hint: Two sets are equal if and only if they have the same elements. So, A = {1, 2, 3} and B = {2, 1, 3} are equal sets.

Question 19. In a class of 50 students, 10 did not opt for math, 15 did not opt for science and 2 did not opt for either. How many students of the class opted for both math and science. (a) 24 (b) 25 (c) 26 (d) 27

Answer: (d) 27 Hint: Total students = 50 Students who did not opt for math = 10 Students who did not opt for Science = 15 Students who did not opt for either maths or science = 2 Total of 40 students in math and 13 did not opt for science but did for math = 40 – 13 = 27 So, students of the class opted for both math and science is 27

Question 20. In last quadrant? (a) X < 0, Y > 0 (b) X < 0, Y < 0 (c) X > 0, Y < 0 (d) X > 0, Y > 0

Gurukul of Excellence

Classes for Physics, Chemistry and Mathematics by IITians

Join our Telegram Channel for Free PDF Download

Case Study Questions for Class 11 Maths Chapter 8 Binomial Theorem

• Last modified on: 7 months ago
• Reading Time: 8 Minutes

Table of Contents

[PDF] Download Case Study Questions for Class 11 Maths Chapter 8 Binomial Theorem

Here we are providing case study questions for class 11 maths. In this article, we are sharing Class 11 Maths Chapter 8 Binomial Theorem . All case study questions of class 11 maths are solved so that students can check their solutions after attempting questions.

Related Posts

What is meant by case study question.

In the context of CBSE (Central Board of Secondary Education), a case study question is a type of question that requires students to analyze a given scenario or situation and apply their knowledge and skills to solve a problem or answer a question related to the case study.

Case study questions typically involve a real-world situation that requires students to identify the problem or issue, analyze the relevant information, and apply their understanding of the relevant concepts to propose a solution or answer a question. These questions may involve multiple steps and require students to think critically, apply their problem-solving skills, and communicate their reasoning effectively.

Importance of Solving Case Study Questions for Class 11 Maths

Case study questions are an important aspect of mathematics education at the Class 11 level. These questions require students to apply their knowledge and skills to real-world scenarios, helping them develop critical thinking, problem-solving, and analytical skills. Here are some reasons why case study questions are important in Class 11 maths education:

• Real-world application: Case study questions allow students to see how the concepts they are learning in mathematics can be applied in real-life situations. This helps students understand the relevance and importance of mathematics in their daily lives.
• Higher-order thinking: Case study questions require students to think critically, analyze data, and make connections between different concepts. This helps develop higher-order thinking skills, which are essential for success in both academics and real-life situations.
• Collaborative learning: Case study questions often require students to work in groups, which promotes collaborative learning and helps students develop communication and teamwork skills.
• Problem-solving skills: Case study questions require students to apply their knowledge and skills to solve complex problems. This helps develop problem-solving skills, which are essential in many careers and in everyday life.
• Exam preparation: Case study questions are included in exams and tests, so practicing them can help students prepare for these assessments.

Overall, case study questions are an important component of Class 11 mathematics education, as they help students develop critical thinking, problem-solving, and analytical skills, which are essential for success in both academics and real-life situations.

Feature of Case Study Questions on This Website

Here are some features of a Class 11 Maths Case Study Questions Booklet:

Many Case Study Questions: This website contains many case study questions, each with a unique scenario and problem statement.

Different types of problems: The booklet includes different types of problems, such as optimization problems, application problems, and interpretation problems, to test students’ understanding of various mathematical concepts and their ability to apply them to real-world situations.

Multiple-choice questions: Questions contains multiple-choice questions to assess students’ knowledge, understanding, and critical thinking skills.

Focus on problem-solving skills: The questions are designed to test students’ problem-solving skills, requiring them to identify the problem, select appropriate mathematical tools, and analyze and interpret the results.

Emphasis on practical applications: The case studies in the booklet focus on practical applications of mathematical concepts, allowing students to develop an understanding of how mathematics is used in real-life situations.

Comprehensive answer key: The booklet includes a comprehensive answer key that provides detailed explanations and step-by-step solutions for all the questions, helping students to understand the concepts and methods used to solve each problem.

Download CBSE Books

Exam Special Series:

• Sample Question Paper for CBSE Class 10 Science (for 2024)
• Sample Question Paper for CBSE Class 10 Maths (for 2024)
• CBSE Most Repeated Questions for Class 10 Science Board Exams
• CBSE Important Diagram Based Questions Class 10 Physics Board Exams
• CBSE Important Numericals Class 10 Physics Board Exams
• CBSE Practical Based Questions for Class 10 Science Board Exams
• CBSE Important “Differentiate Between” Based Questions Class 10 Social Science
• Sample Question Papers for CBSE Class 12 Physics (for 2024)
• Sample Question Papers for CBSE Class 12 Chemistry (for 2024)
• Sample Question Papers for CBSE Class 12 Maths (for 2024)
• Sample Question Papers for CBSE Class 12 Biology (for 2024)
• CBSE Important Diagrams & Graphs Asked in Board Exams Class 12 Physics
• Master Organic Conversions CBSE Class 12 Chemistry Board Exams
• CBSE Important Numericals Class 12 Physics Board Exams
• CBSE Important Definitions Class 12 Physics Board Exams
• CBSE Important Laws & Principles Class 12 Physics Board Exams
• 10 Years CBSE Class 12 Chemistry Previous Year-Wise Solved Papers (2023-2024)
• 10 Years CBSE Class 12 Physics Previous Year-Wise Solved Papers (2023-2024)
• 10 Years CBSE Class 12 Maths Previous Year-Wise Solved Papers (2023-2024)
• 10 Years CBSE Class 12 Biology Previous Year-Wise Solved Papers (2023-2024)
• ICSE Important Numericals Class 10 Physics BOARD Exams (215 Numericals)
• ICSE Important Figure Based Questions Class 10 Physics BOARD Exams (230 Questions)
• ICSE Mole Concept and Stoichiometry Numericals Class 10 Chemistry (65 Numericals)
• ICSE Reasoning Based Questions Class 10 Chemistry BOARD Exams (150 Qs)
• ICSE Important Functions and Locations Based Questions Class 10 Biology
• ICSE Reasoning Based Questions Class 10 Biology BOARD Exams (100 Qs)

✨ Join our Online JEE Test Series for 499/- Only (Web + App) for 1 Year

✨ Join our Online NEET Test Series for 499/- Only for 1 Year

Leave a Reply Cancel reply

Join our Online Test Series for CBSE, ICSE, JEE, NEET and Other Exams

Editable Study Materials for Your Institute - CBSE, ICSE, State Boards (Maharashtra & Karnataka), JEE, NEET, FOUNDATION, OLYMPIADS, PPTs

Discover more from Gurukul of Excellence

Subscribe now to keep reading and get access to the full archive.

Type your email…

Continue reading

• Andhra Pradesh
• Chhattisgarh
• West Bengal
• Madhya Pradesh
• Maharashtra
• Jammu & Kashmir
• NCERT Books 2022-23
• NCERT Solutions
• NCERT Notes
• NCERT Exemplar Books
• NCERT Exemplar Solution
• States UT Book
• School Kits & Lab Manual
• NCERT Books 2021-22
• NCERT Books 2020-21
• NCERT Book 2019-2020
• NCERT Book 2015-2016
• RD Sharma Solution
• TS Grewal Solution
• TR Jain Solution
• Selina Solution
• Frank Solution
• ML Aggarwal Solution
• Lakhmir Singh and Manjit Kaur Solution
• I.E.Irodov solutions
• ICSE - Goyal Brothers Park
• ICSE - Dorothy M. Noronhe
• Sandeep Garg Textbook Solution
• Micheal Vaz Solution
• S.S. Krotov Solution
• Evergreen Science
• KC Sinha Solution
• ICSE - ISC Jayanti Sengupta, Oxford
• ICSE Focus on History
• ICSE GeoGraphy Voyage
• ICSE Hindi Solution
• ICSE Treasure Trove Solution
• Thomas & Finney Solution
• SL Loney Solution
• SB Mathur Solution
• P Bahadur Solution
• Narendra Awasthi Solution
• MS Chauhan Solution
• LA Sena Solution
• Integral Calculus Amit Agarwal Solution
• IA Maron Solution
• Hall & Knight Solution
• Errorless Solution
• Pradeep's KL Gogia Solution
• OP Tandon Solutions
• Sample Papers
• Previous Year Question Paper
• Value Based Questions
• CBSE Syllabus
• CBSE MCQs PDF
• Assertion & Reason
• New Revision Notes
• Revision Notes
• HOTS Question
• Marks Wise Question
• Toppers Answer Sheets
• Exam Paper Aalysis
• Concept Map
• CBSE Text Book
• Additional Practice Questions
• Vocational Book
• CBSE - Concept
• KVS NCERT CBSE Worksheets
• Formula Class Wise
• Formula Chapter Wise
• JEE Crash Course
• JEE Previous Year Paper
• Important Info
• JEE Mock Test
• JEE Sample Papers
• SRM-JEEE Mock Test
• VITEEE Mock Test
• BITSAT Mock Test
• Manipal Engineering Mock Test
• AP EAMCET Previous Year Paper
• COMEDK Previous Year Paper
• GUJCET Previous Year Paper
• KCET Previous Year Paper
• KEAM Previous Year Paper
• Manipal Previous Year Paper
• MHT CET Previous Year Paper
• WBJEE Previous Year Paper
• AMU Previous Year Paper
• TS EAMCET Previous Year Paper
• SRM-JEEE Previous Year Paper
• VITEEE Previous Year Paper
• BITSAT Previous Year Paper
• UPSEE Previous Year Paper
• CGPET Previous Year Paper
• CUSAT Previous Year Paper
• AEEE Previous Year Paper
• Crash Course
• Previous Year Paper
• NCERT Based Short Notes
• NCERT Based Tests
• NEET Sample Paper
• Previous Year Papers
• Quantitative Aptitude
• Numerical Aptitude Data Interpretation
• General Knowledge
• Mathematics
• Agriculture
• Accountancy
• Business Studies
• Political science
• Enviromental Studies
• Mass Media Communication
• Teaching Aptitude
• NAVODAYA VIDYALAYA
• SAINIK SCHOOL (AISSEE)
• Mechanical Engineering
• Electrical Engineering
• Electronics & Communication Engineering
• Civil Engineering
• Computer Science Engineering
• CBSE Board News
• Scholarship Olympiad
• School Admissions
• Entrance Exams
• All Board Updates
• Miscellaneous
• State Wise Books
• Engineering Exam

CBSE Class 11 Mathematics Marks Wise Question with Solution PDF

Free pdf download.

SHARING IS CARING If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

CBSE Class 11 Mathematics Marks Wise Question with Answers is an extremely useful revision tool. It is very beneficial for students who are aiming to make the most out of their exam preparation. Board exams examine the educational skills of the student. Practising CBSE Class 11 Mathematics Marks Wise Question is a must. You can download here Mathematics Marks Wise Question with solutions at free of cost.

CBSE Class 11 Mathematics Marks Wise Question

CBSE is one of the most preferred educational board in India. This renowned board was established in the year 1952. CBSE Board is known for its comprehensive syllabus and the quality of education and well-structured question paper. The board aims to give a good education to its students so that they can grow both mentally and physically.

CBSE Board conducts the exam for Class 11. The exams for Class 11 are usually conducted in the month of March every year and the results are announced in the month of May. The questions that are asked in the CBSE board examination are according to the pattern issued by the NCERT. Students who are preparing for their CBSE examination must know the benefits of solving the CBSE Class 11 Mathematics Marks Wise Question. The questions are designed by SelfStudys experts according to the CCE guidelines.

CBSE Mathematics Marks Wise Question for Class 11

One of the best way to prepare for the exam is by practising the Mathematics Marks Wise Question. Students will get an idea about the examination pattern and the marking scheme. It will also make students familiar with the question paper and the difficulty level of the questions asked in the examination. Some benefits of solving the CBSE Class 11 Mathematics Marks Wise Question are given below.

• Helps in brushing up the concepts completely
• Helps to overcome fear before the exam
• Improves time management skills
• Develops speed and accuracy
• Helps in correcting mistakes

If you are preparing for CBSE board exams, now is the time when you plan efficiently and work more smartly. One way of studying smarter is investing your efforts in the most important questions and make sure you are through with these questions. You must finish the chapters that have high weightage with maximum efficiency so that you can solve any question asked from them. In this page, we will provide you with the CBSE Class 11 Mathematics Marks Wise Question.

Ensure that you finish the complete CBSE syllabus of Class 11 based on the CBSE Class 11 Mathematics Marks Wise Question of each unit. The chapter with high weightage must be thoroughly completed. At the same time, you must have a basic understanding of all the chapters. Solve Mathematics Marks Wise Question of all types. 

CBSE Class 11 Mathematics Marks Wise Question PDF

Class 11 is considered to be the most important part for students aspiring to clear the NEET exam. In CBSE Class 11, several important chapters are presented to the students which are crucial to forming the basic skills required for a medical & engineer career.

CBSE Class 11 syllabus has various important topics, diagrams and definitions that the students require to be thorough with to be able to score well in the Class 11 board exam. To get good marks in Class 11, students require to prepare thoroughly and practice with CBSE Class 11 Mathematics Marks Wise Question.

It is not easy to get high marks in CBSE, either. The curriculum of Class 11 has evolved over the years and become more complex. Students will require to put in the effort to remember the topic and work smartly to perform well in their board examinations. This means that it might not be sufficient to just attend the school and blindly mug up the CBSE syllabus. A lot of students go for tuition to be able to clear any doubts they have.

CBSE Class 11 Mathematics Marks Wise Question with Solutions

To help the students to prepare for examination more effectively, we provide CBSE Mathematics Marks Wise Question for Class 11 are given here. It is suggested to check these Mathematics Marks Wise Question to be able to tackle any question in the examinations.

It is suggested to practice this CBSE Class 11 Mathematics Marks Wise Question thoroughly before the exams. Apart from these Mathematics Marks Wise Question, students are also suggested to check the below-given links for sample and question papers and prepare more efficiently for the examinations.

As the importance of board examinations can never be understated, CBSE Class 11 Mathematics Marks Wise Question can prove to be greatly beneficial for students. SelfStudys ensures that students can study better with our Mathematics Marks Wise Question with Answers. The carefully crafted questions and answers provide students with a comprehensive understanding of the chapters involved. A lot of these questions are likely to appear in the board examination, making this an ultimate guide for students before their examinations.  

CBSE Class 11 Mathematics Marks Wise Question with Answers

Why should students download cbse class 11 mathematics marks wise question from selfstudys.

These CBSE Class 11 Mathematics Marks Wise Question for exams are framed by our best teachers. They also give solutions to these questions that explain the concepts in a short yet easy to understand manner. 

• NCERT Solutions for Class 12 Maths
• NCERT Solutions for Class 10 Maths
• CBSE Syllabus 2023-24
• Social Media Channels
• Login Customize Your Notification Preferences

• Second click on the toggle icon

Provide prime members with unlimited access to all study materials in PDF format.

Allow prime members to attempt MCQ tests multiple times to enhance their learning and understanding.

Provide prime users with access to exclusive PDF study materials that are not available to regular users.