Daily Practice Problems class 11 Mathematical Reasoning

Question 1:

Write the negation of the following statements

(1) The number 3 is less than 1.

(2) Every whole number is less than 0.

(3) The sun is cold

Question 2:

Write a component statement for the following compound statements:

50 is a multiple of both 2 and 5.

Question 3:

Write the contra-positive and converse of the following statements.

(i) If x is a prime number, then x is odd.

(ii) if the two lines are parallel, then they do not intersect in the same plane.

Question 4:

For the given if-then statements, write the contra-positive statement.

If a triangle is equilateral, then all of its angles are 60°

If a number is multiple of 9, then it is multiple of 3.

Question 5:

The connective in the statement 2 + 7 > 9 or 2 + 7 < 9 is _____.

(a) and

(b) or

(d) <

Question 6:

Which of the following is a statement?

(a) x is a real number

(b) Switch of the fan

(d) Let me go

Question 7:

Which of the following is not a statement?

(a) The product of (-1) and 8 is 8

(b) All complex number are real number

(d) All of the above

Question 8:

If (p or q) is true, then

(a) p is true and q is false

(b) p is true and q is true

(d) All of the above

Question 9:

Which of the following statement is a conjunction?

(a) Ram and Shyam are friends

(b) Both Ram and Shyam are friends

Question 10:

Which of the following is a compound statement?

(a) Sun is a star

(b) I am a very strong boy

(d) 7 is both odd and prime number.

Question 11:

Which of the following is true?

(a) A prime number is either even or odd

(b) √3 is irrational number.

(d) Everyone in India speaks Hindi.

Question 12:

Sentence involving variable time such as today, tomorrow, or yesterday are

(a) Statements

(b) Not statements

(d) None of these

Question 13:

Re write each of the following statements in the form “p if and only if q”.

(i) p: If you watch television, then your mind is free and if your mind is free, then you watch television.

(ii) q: For you to get an A grade, it is necessary and sufficient that you do all the homework regularly.

Question 14:

For the given statements identify the necessary and sufficient conditions.

t: If you drive over 80 km per hour, then you will get a fine.

Question 15:

Check whether the following statement is true or not.

If x, y ∈ Z are such that x and y are odd, then xy is odd.

Question 16:

Given below are two pairs of statements. Combine these two statements

using “if and only if ”.

(i) p: If a rectangle is a square, then all its four sides are equal.

q: If all the four sides of a rectangle are equal, then the rectangle is a

square.

(ii) p: If the sum of digits of a number is divisible by 3, then the number is

divisible by 3.

q: If a number is divisible by 3, then the sum of its digits is divisible by 3.

Question 17:

Identify the type of “Or” used in the following statements and check whether the statements are true or false:

(i) √2 is a rational number or an irrational number.

(ii) To enter into a public library children need an identity card from the school

or a letter from the school authorities.

(iii) A rectangle is a quadrilateral or a 5-sided polygon.

Question 18:

Which of the following is not a negation of the statement?

“A natural number is greater than zero”

(a) A natural number is not greater than zero

(b) It is false that a natural number is greater than zero

(d) None of these

Question 19:

Write the converse and contra-positive of each of the following sentences.

(a) If x is a prime number, it is an odd number.

(b) To say something is cold means it has a low temperature.

Question 20:

Given below are two statements

p: 25 is a multiple of 5.

q: 25 is a multiple of 8

Write the compound statements connecting these two statements with “and” and “OR”. In both cases check the validity of the compound statement.

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Problem-solving on Class 11 Maths Mathematical Reasoning NCERT Chapter 14 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 Class 11 Maths Mathematical Reasoning 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 Class 11 Maths Mathematical Reasoning NCERT Chapter 14, 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 Mathematical Reasoning Class 11 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 Mathematical Reasoning Class 11 Maths Notes on LearnoHub.com
Boosting Confidence: Successfully solving problems after learning a theoretical concept boosts your confidence in your abilities to handle Mathematical Reasoning. 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 Mathematical Reasoning Class 11 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 Mathematical Reasoning Class 11 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 Class 11 Maths Mathematical Reasoning NCERT Chapter 14

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 Class 11 Maths Mathematical Reasoning NCERT Chapter 14 useful.

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