Assertion Reason Questions for Class 10 Maths Chapter 1 Real Numbers

by
  • Last modified on:2 years ago
  • Reading Time:10Minutes
Home CBSE Class 10 Maths Assertion Reason Questions for Class 10 Maths Assertion Reason Questions for Class 10 Maths Chapter 1 Real Numbers
Assertion Reason Questions for Class 10 Maths Chapter 1 Real Numbers
BoardCBSE
Useful forClass 10 Students
SubjectMaths
ChapterChapter 1 Real Numbers
Type of QuestionsAssertion and Reason
FormatQuestion-Answer Format
Important LinkClass 10 Maths Chapterwise Assertion Reason

Assertion Reason Questions for Class 10 Maths Chapter 1 Real Numbers

Here we are providing Assertion Reason Questions for Class 10 Maths Chapter 1 Real Numbers. Students can practice these questions for better understanding of the topics. This will also help to perform better in the examination.

Direction: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:
(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of
Assertion (A).
(c) Assertion (A) is true but Reason (R) is false.
(d) Assertion (A) is false but Reason (R) is true.

Q.1. Assertion: The H.C.F. of two numbers is 16 and their product is 3072. Then their L.C.M. = 162.
Reason: If a and b are two positive integers, then H.C.F. × L.C.M. = a × b.

Answer Answer: (d) Assetion (A) is false but Reason (R) is true.
Explanation: Since HCF × LCM = a × b
⇒ 3072 = 16 × 162
⇒ 3072 ≠ 2592

Q.2. Assertion: Denominator of 34.12345. When expressed in the form p/q, q ≠ 0, is of the form
2m × 5n, where m and n are non-negative integers.
Reason: 34.12345 is a terminating decimal fraction.

Answer Answer: (a)

Q.3. Assertion: 13/3125 is a terminating decimal fraction.
Reason: If q = 2n.5m where n and m are non-negative integers, then p/q is a terminating decimal fraction.

Answer Answer: (a)

Q.4. Assertion: When a positive integer a is divided by 3, the values of remainder can be 0, 1 or 2.

Reason: According to Euclid’s Division Lemma a = bq + r, where 0 ≤ r < b and r is an integer.

Answer Answer: (a)
Given positive integers A and B, there exists unique integers Q and R satisfying a = bq + r, where 0 ≤ r < b.
This is known as Euclid’s Division Lemma.

Q.5. Assertion: A number N when divided by 15 gives the remainder 2. Then the remainder is same when N is divided by 5.
Reason: √3 is an irrational number.

Answer Answer: Explanation: Let we take three numbers which are divisible by 5 and 15 both, are 30, 45, 60.
Now, we add the remainder 2, we get 32, 47, 62
Therefore, we can see that as one numbers are divisible
by 5 & 15 but remainder is same as 2.

Also read: Case Study Questions for Class 10 Maths Chapter 1 Real Numbers

Q.6. Assertion: 2 is an example of a rational number.
Reason: The square roots of all positive integers are irrational numbers.

Answer Answer: (c)
Explanation: Here, reason is false. As √16 = ±4, which is not an irrational number.

Q.7. Assertion: For any two positive integers p and q, HCF (p, q) × LCM (p, q) = p × q
Reason: If the HCF of two numbers is 5 and their product is 150, then their LCM is 40.

Answer Answer: (c)
We have, LCM (p, q) × HCF (p, q) = p × q
LCM × 5 = 150
LCM = 150 / 5 = 30 ≠ 40
Therefore, Reason is false.

Related Posts

Assertion Reason Questions for Class 10 Maths Chapter 9 Applications of Trigonometry
Assertion Reason Questions for Class 10 Maths Chapter 14 Statistics
Assertion Reason Questions for Class 10 Maths Chapter 13 Surface Areas and Volumes
Assertion Reason Questions for Class 10 Maths Chapter 15 Probability
Assertion Reason Questions for Class 10 Maths Chapter 10 Circles
Assertion Reason Questions for Class 10 Maths Chapter 5 Arithmetic Progression
Assertion Reason Questions for Class 10 Maths Chapter 4 Quadratic Equations
Assertion and Reason Questions for Class 10 Maths Chapter 12 Areas Related to Circles
Assertion and Reason Questions for Class 10 Maths Chapter 6 Triangles
Assertion and Reason Questions for Class 10 Maths Chapter 7 Coordinate Geometry
Assertion and Reason Questions for Class 10 Maths Chapter 8 Introduction to Trigonometry
Assertion and Reason Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables
Assertion and Reason Questions for Class 10 Maths Chapter 2 Polynomials

Category Lists (All Posts)

Select Category

All categories of this website are listed below with number of posts in each category for better navigation. Visitors can click on a particular category to see all posts related to that category.

Test Series (Engineering, Medical and School Level Exams)

Test series for students preparing for Engineering & Medical Entrance Exams are available. We also provide test series for School Level Exams. Tests for students studying in CBSE, ICSE or any state board are available here. Just click on the link and start test.

Click here for All Tests

Frequently Asked Questions (FAQs) on Real Numbers Class 10 Assertion Reason Questions

Q1: What is the best website for practicing assertion reason questions for class 10 maths?

A1: The best website for practicing assertion reason questions for class 10 maths is physicsgurukul.com

Q2: Are assertion reason questions provided by Physics Gurukul sufficient for exams?

A2: Yes, we have provided many questions in each chapter. So it is sufficient for practice.

Q3: What is assertion reason questions in class 10 maths?

A3: Assertion reason questions consists of two statements – Assertion and Reason
Assertion (A): This is a statement that could be a fact, an observation, or a conclusion.
Reason (R): This explains why the assertion is true (or false).
You need to analyze both statements and determine the relationship between them.

Q4: How to answer assertion and reason questions effectively?

A4: Here are some tips for effective answering the assertion and reason questions.
1. Read both the Assertion and Reason carefully.
2. Think logically about the scientific concept involved.
3. Even if the Assertion sounds familiar, analyze it with the Reason provided.
4. Don’t be fooled by a partially true Reason.
5. Practice with sample questions from your textbook or other resources.

Q5: Do Physics Gurukul provides assertion reason questions for all subjects?

A5: Yes, Physics Gurukul provides assertion reason questions for all subjects. Click here to access assertion reason questions for all classes and subjects.

Leave a Reply

Join Telegram Channel

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

Download Now!

Discover more from Gurukul of Excellence

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

Continue reading