Commerce Exam  >  Commerce Notes  >  Mathematics (Maths) Class 11  >  Sets- Case Based Type Questions

Sets- Case Based Type Questions | Mathematics (Maths) Class 11 - Commerce PDF Download

Direction: The given table shows the 10 most famous engineering private colleges of India with their respective fee structure of 4 years Bachelor of Technology course.
Sets- Case Based Type Questions | Mathematics (Maths) Class 11 - CommerceQuestion 1:
Ram wants to take admission in private engineering but has a budget of 6 lakhs. Find the set of colleges in which Ram takes the admission.
(a) {SRM, Birla, LPU, Chandigarh, Kalinga}
(b) {Jaypee, LPU, Chandigarh, Kalinga}
(c) {Jaypee, Chandigarh, Kalinga}
(d) {AMITY, Vellore, Chandigarh, Kalinga}

Correct Answer is Option (c)
From the table, it is observed that there are 3 colleges whose fees for 4 year course is less than or equal to 6 lakhs. So, the required set is {Jaypee, Chandigarh, Kalinga}.


Question 2:
If Sri and Ram wants to take admission in the same college. Find the set of college in which both Sri and Ram can take their admission.

(a) {Chandigarh, Kalinga}
(b) {Jaypee}
(c) {SRM, LPU}
(d) Ø

Correct Answer is Option (a)
The common colleges in which Sri and Ram both of them can take admission are Chandigarh and Kalinga. So, the required set is {Chandigarh, Kalinga}.


Question 3:
Sri has taken an education loan of 3 lakhs to increase his overall budget. Find the set of college in which Ram can take admission but Sri cannot.
(a) {Birla, Thapar} 
(b) {Thapar}
(c) {SRM}
(d) {Manipal, Thapar}

Correct Answer is Option (b)
On increasing the budget of Sri by 3 lakh, the total budget will be 7 lakhs. So, the set of college in which she can take admission are {Manipal, LPU, Jaypee, Chandigarh, Kalinga}. But the set of colleges in which Ram can take admission are {Manipal, LPU, Thapar, Jaypee, Chandigarh, Kalinga}. Since there is one element that is not common in both the sets, the required set is {Thapar}.


Question 4:
Sri has a total budget of 4 lakhs and she wanted  admission in the famous college. Will she able to take admission in the colleges given in table. Find the set of college in which she can take admission.
(a) Yes, {SRM, Birla, LPU}
(b) No, {Jaypee, LPU, Kalinga}
(c) Yes, {Chandigarh, Kalinga}
(d) None of the above

Correct Answer is Option (c)
Yes, there are two colleges whose fees are either equal to or less than 4 lakhs. So, the required set is {Chandigarh, Kalinga}.


Question 5: 
Ram has taken an education loan of 2 lakhs to increase his overall budget. Find the number of college in which he can take admission after raising his budget.
(a) 4
(b) 6
(c) 7
(d) 9

Correct Answer is Option (b)
Earlier when the budget was 6 lakh, the set of colleges are {Jaypee, Chandigarh, Kalinga}. On increasing the budget by 2 lakhs, the total budget of Ram becomes 8 lakhs. So, the set of college in which he can take admission are {Manipal, LPU, Thapar, Jaypee, Chandigarh, Kalinga}.


Direction: A survey is conducted by a career counsellor in a college to find career choice of students after the Intermediate. There are 100 students that goes for Engineering Courses, 50 wants to make their career in Medical, 100 students continue their further study in Arts. There are 10 students that go for both Engineering and Medical, and 3 goes for Medical and Arts. There are 3 students that do not go for any further studies.
Question 6: 
Find the total number of students on which the survey is conducted.
(a) 250
(b) 230
(c) 240
(d) 238

Correct Answer is Option (c)
Let A set denotes Engineering, B set denotes Medical and C set denotes Art. Draw the Venn’s diagram for the given situation.
Sets- Case Based Type Questions | Mathematics (Maths) Class 11 - Commerce
Total number of students is the sum of elements in all the regions. So, the total number of students are 240.


Question 7:
Find the number of students that goes for both Medical and Art.
(a) 5
(b) 2
(c) 3
(d) 4

Correct Answer is Option (c)
Let A set denotes Engineering, B set Medical and C set Art. Draw the Venn’s diagram for the given situation.
Sets- Case Based Type Questions | Mathematics (Maths) Class 11 - Commerce
The region VI shows the student that goes for both Medical and Arts. So, n(B ∩ C) = 3.


Question 8:
Find the number of students that goes for only engineering course.
(a) 90
(b) 95
(c) 100
(d) 93

Correct Answer is Option (a)
Let A set denotes Engineering, B set denotes Medical and C set denotes Art. Draw the Venn’s diagram for the given situation.
Sets- Case Based Type Questions | Mathematics (Maths) Class 11 - Commerce
So, the number of students that goes for only engineering course are 90.


Question 9:
Find the number of students that goes for medical or engineering.
(a) 150
(b) 140
(c) 160
(d) No of the above

Correct Answer is Option (b)
Let A set denotes Engineering, B set denotes Medical and C set denotes Art. Draw the Venn’s diagram for the given situation.
Sets- Case Based Type Questions | Mathematics (Maths) Class 11 - Commerce
The region I, II, III, IV, V, and VI shows the student that goes for Engineering or Medical. So, the required number of students is 140.


Question 10:
Find the number of students that goes for Engineering or Art.
(a) 150
(b) 200
(c) 190
(d) 197

Correct Answer is Option (b)
Let A set denotes Engineering, B set denotes Medical and C set denotes Art. Draw the Venn’s diagram for the given situation.
Sets- Case Based Type Questions | Mathematics (Maths) Class 11 - Commerce
The region I, II, IV, IV, V, and VII shows the student that goes for Engineering or Arts. So, the required number of students is 200.

The document Sets- Case Based Type Questions | Mathematics (Maths) Class 11 - Commerce is a part of the Commerce Course Mathematics (Maths) Class 11.
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FAQs on Sets- Case Based Type Questions - Mathematics (Maths) Class 11 - Commerce

1. What is the importance of case-based questions in exams?
Ans. Case-based questions are important in exams as they assess a student's ability to apply theoretical knowledge to real-world situations. These questions require critical thinking and problem-solving skills, enabling students to demonstrate their understanding of concepts in practical scenarios.
2. How do case-based questions differ from traditional exam questions?
Ans. Case-based questions differ from traditional exam questions as they present a specific scenario or case study for students to analyze and respond to. Unlike traditional questions that focus on theoretical knowledge, case-based questions require students to apply their knowledge to solve practical problems.
3. What strategies can help in answering case-based questions effectively?
Ans. To answer case-based questions effectively, it is important to carefully read and understand the given scenario. Analyze the information provided, identify the key issues, and consider possible solutions or outcomes. Additionally, organizing your thoughts, providing clear explanations, and supporting your answers with relevant evidence or examples can help in effectively answering these questions.
4. How can case-based questions enhance learning outcomes?
Ans. Case-based questions can enhance learning outcomes by promoting critical thinking, problem-solving, and decision-making skills. They encourage students to apply theoretical concepts to real-life situations, fostering a deeper understanding of the subject matter. By engaging with case studies, students can develop analytical abilities, improve their communication skills, and gain practical knowledge that can be applied in professional settings.
5. Are case-based questions commonly used in professional certification exams?
Ans. Yes, case-based questions are commonly used in professional certification exams. These exams aim to assess an individual's competence and readiness to practice in a specific professional field. Case-based questions allow examiners to evaluate a candidate's ability to analyze complex situations, make informed decisions, and apply their knowledge in practical contexts. By including case-based questions, certification exams ensure that professionals are well-prepared to handle real-world challenges in their respective fields.
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