Daily Practice Problems Sets

Question 1:

If A and b are two given sets, then is equal to [Level: Easy]

(a) A

(b) B

(c)

(d) .

Question 2:

If n(A) = 5, n(B) = 10 and n(C) = 20 for three disjoint sets A, B and C, then what is the value of n(A B C)? [Level: Easy]

(a) 0

(b) None of these

(d) 35

Question 3:

The Set S = is to be partitioned into three sets A, B, C of equal size. Thus , . What is the number of ways to partition S? [Level: Moderate]

(a)

(b)

(c)

(d)

Question 4:

If A = {0, ,{8}}, what will be the number of subsets of P(A)? [Level: Moderate]

(a) 4

(b) 8

(d) 16

Question 5:

If A ⊂ B and B ⊂ C then A ∪ C is equal to [Level: Easy]

(a) C

(b) B

(d) None of these

Question 6:

If A and B be two sets containing 4 and 7 elements respectively. What can be the minimum and maximum number of elements in A∪B? [Level: Moderate]

(a) 3, 4

(b) 4, 7

(d) None of these

Question 7:

Two finite sets have m and n elements respectively. The total number of subsets of first set is 120 more than the total number of subsets of the second set. The values of m and n respectively are: [Level: Moderate]

(a) 4, 3

(b) 7, 3

(d) 3, 7

Question 8:

If A = ϕ then what will be the value of n(P(A))? [Level: Easy]

(a) ϕ

(b) 0

(d) 1.

Question 9:

In a town of 10,000 families, it was found that 40 % family buy newspaper A, 20 % buy newspaper B and 10 % families buy newspaper C, 5 % families buy A and B, 3 % families buy B and C and 4 % buy A and C. If 2 % families buy all 3 newspapers, then find the number of families which buy newspaper B only. [Level: Moderate]

(a) 1200

(b) 2000

(d) 1800

Question 10:

If A and B are two sets, then (A – B) (B – A) (A ∩ B) equals to: [Level: Easy]

(a) A∪B

(b) A∩B

(d)

Question 11:

Which option is representing the given Venn diagram? [Level: Moderate]

(a) (A∪B∪C)

(b) (A∪B)∩C’

(d) (A∪B)∩(A∩B∩C)’.

Question 12.

Two finite sets have m and n elements respectively. The total number of subsets of first set is 56 more than the total number of subsets of the second set. The values of m and n respectively are: [Level: Moderate]

(a) 7, 6

(b) 5, 1

(d) 8, 7.

Question 13.

If and , then [Level: Difficult]

(a)

(b)

(c)

(d)

Question 14.

If , and , then is equal to: [Level: Difficult]

(a) 49

(b) 10

(d) 0

Question 15.

Let be 100 sets such that and

, then contains total number of elements as [Level: Difficult]

(a) 61

(b) 100

(d) 60

Question 16.

If X = {(x, y) : y = e^-x; x ∈ W} and Y = {(x, y) : y = e^x, x ∈ W}, then what will be the number of elements in P [(X ∩ Y)]? [Level: Difficult]

(a) 4

(b) 0

(d) None of these

Question 17.

In a class of 85 students, 45 students play carom, 30 students play basketball, and 15 students play both the games. Find the number of students who play neither of them. [Level: Moderate]

(a) 10

(b) 60

(d) 40

Question 18.

Let and . Then which one of the following statements is true? [Level: Difficult]

(a)

(b)

(c)

(d)

Question 19.

A survey shows that 73% of the persons working in an office like tea, whereas 65% like coffee. If x denotes the percentage of them, who like both tea and coffee, then x cannot be: [Level: Moderate]

(a) 63

(b) 54

(d) 36

Question 20.

Let S = {1, 2, 3, ..., 100}. The number of non-empty subsets A of S such that the product of elements in A is even is: [Level: Moderate]

(a)

(b)

(c)

(d)

**********

Problem-solving on JEE Maths Sets NCERT Chapter 1 after learning a theoretical concept is crucial for several reasons:

Application of Knowledge: Problem-solving allows you to apply the theoretical concepts of the topic JEE Maths Sets you have learned to real-life situations. It helps you bridge the gap between abstract knowledge and practical scenarios, making the learning more relevant and meaningful.
Understanding Deeper Concepts: When you encounter problems related to a theoretical concept that you learned in JEE Maths Sets NCERT Chapter 1, you are forced to delve deeper into its intricacies. This deeper understanding enhances your comprehension of the subject and strengthens your grasp of the underlying principles.
Critical Thinking: Problem-solving encourages critical thinking and analytical skills. It requires you to analyze the problem, identify relevant information, and devise a logical solution. This process sharpens your mind and improves your ability to approach complex challenges effectively.
Retention and Recall: Actively engaging in problem-solving reinforces your memory and improves long-term retention. Applying the concepts learned in Sets JEE Maths in practical scenarios helps you remember them better than passive reading or memorization.
Identifying Knowledge Gaps: When you attempt to solve problems, you may encounter areas where your understanding is lacking. These knowledge gaps become evident during problem-solving, and you can then focus on filling those gaps through further study and practice. You can refer Sets JEE Maths Notes on LearnoHub.com
Boosting Confidence: Successfully solving problems after learning a theoretical concept boosts your confidence in your abilities to handle Sets. This confidence motivates you to tackle more challenging tasks and improves your overall performance in the subject.
Preparation for Exams and Challenges: Many exams, especially in science, mathematics, and engineering, involve problem-solving tasks. Regular practice in problem-solving prepares you to face these exams with confidence and perform well. It is also advised to take tests on Sets JEE Maths Online Tests at LearnoHub.com.
Enhancing Creativity: Problem-solving often requires thinking outside the box and exploring various approaches. This fosters creativity and innovation, enabling you to come up with novel solutions to different problems.
Life Skills Development: Problem-solving is a valuable life skill that extends beyond academics. It equips you with the ability to tackle various challenges you may encounter in personal and professional life.
Improving Decision Making: Problem-solving involves making decisions based on available information and logical reasoning. Practicing problem-solving enhances your decision-making skills, making you more effective in making informed choices.

In summary, problem-solving after learning a theoretical concept on CBSE Sets JEE Maths is an essential part of the learning process. It enhances your understanding, critical thinking abilities, and retention of knowledge. Moreover, it equips you with valuable skills that are applicable in academic, personal, and professional contexts.

You must have heard of the phrase “Practice makes a man perfect”. Well, not just a man, practice indeed enhances perfection of every individual.

Practicing questions plays a pivotal role in achieving excellence in exams. Just as the adage goes, "Practice makes perfect," dedicating time to solve a diverse range of exam-related questions yields manifold benefits. Firstly, practicing questions allows students to familiarize themselves with the exam format and types of problems they might encounter. This familiarity instills confidence, reducing anxiety and improving performance on the actual exam day. Secondly, continuous practice sharpens problem-solving skills and enhances critical thinking, enabling students to approach complex problems with clarity and efficiency. Thirdly, it aids in identifying weak areas, allowing students to focus their efforts on improving specific topics. Moreover, practice aids in memory retention, as active engagement with the material reinforces learning. Regular practice also hones time management skills, ensuring that students can allocate appropriate time to each question during the exam. Overall, practicing questions not only boosts exam performance but also instills a deeper understanding of the subject matter, fostering a holistic and effective learning experience.

All About Daily Practice Problems on JEE Maths Sets NCERT Chapter 1

Our Daily Practice Problems (DPPs) offer a diverse range of question types, including Multiple Choice Questions (MCQs) as well as short and long answer types. These questions are categorized into Easy, Moderate, and Difficult levels, allowing students to gradually progress and challenge themselves accordingly. Additionally, comprehensive solutions are provided for each question, available for download in PDF format - Download pdf solutions as well as Download pdf Questions. This approach fosters a holistic learning experience, catering to different learning styles, promoting self-assessment, and improving problem-solving skills. With our well-structured DPPs, students can excel in exams while gaining a deeper understanding of the subject matter. Hope you found the content on JEE Maths Sets NCERT Chapter 1 useful.

Last but not least, to get the best hold on JEE Maths Sets NCERT Chapter 1, do not forget to check out:

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