Welcome to jnvmaths.com, your go-to resource for all things related to Jawahar Navodaya Vidyalaya (JNV) Class 9 Entrance Exam Math preparation. In this blog post, we will delve into the crucial Chapter 7: Cube And Cube Roots. We'll not only help you understand the fundamental concepts but also provide valuable tips, tricks, and practice exercises to ensure you excel in this subject.
Table of Contents:
Chapter Overview
Understanding the Importance of Cube And Cube Roots in JNV Math
Objectives of Chapter 7: What to Expect
Basic Concepts
What Are Cubes and Cube Roots?
Key Formulas and Definitions
Properties of Cubes
Exploring the Properties of Cubes
Practical Examples and Applications
Cube Roots Made Easy
Methods to Calculate Cube Roots
Solving Problems Using Cube Roots
Practice Exercises
A Variety of Cube and Cube Roots Problems
Step-by-Step Solutions
Pro Tips for JNV Exam
Time Management Strategies
How to Approach Cube and Cube Roots Questions
Preparing for Success
Recommended Study Resources
Creating a Study Schedule
FAQs
Answering Common Questions About Cube And Cube Roots
Testimonials
Hear from Successful JNV Entrance Exam Candidates
1. एक पूर्ण घन प्राप्त करने के लिए 135 को विभाजित करने वाली सबसे छोटी प्राकृतिक संख्या है
(ए) 5
(बी) 3
(सी) 15
(डी) 9
उत्तर: (ए)
2. निम्नलिखित में से कौन सा पूर्ण घन नहीं है?
(ए) 216
(बी) 343
(सी) 125
(डी) 108
उत्तर: (डी)
3. a³ का विस्तार _________ है।
(ए) 3 × ए
(बी) ए+ए+ए
(सी) 3 × 3 × 3
(डी) ए × ए × ए
उत्तर: (डी)
4. 2 से समाप्त होने वाली संख्या के घन का इकाई अंक क्या होगा?
(ए) 8
(बी) 4
(सी) 2
(डी) 6
उत्तर: (ए)
5. 4 से समाप्त होने वाली संख्या के घन का इकाई अंक क्या होगा?
(ए) 4
(बी) 6
(सी) 2
(डी) 8
Answer: Try Yourself.
6. 6 से समाप्त होने वाली संख्या के घन का इकाई अंक क्या होगा?
(ए) 4
(बी) 6
(सी) 2
(डी) 8
उत्तर: (बी)
7. एक घनाभ के आयाम 5 सेमी, 2 सेमी, 5 सेमी हैं। एक घन बनाने के लिए ऐसे कितने घनाभ की आवश्यकता होगी?
(ए) 20
(बी) 10
(सी) 5
(डी) 2
उत्तर: (ए)
8. एक घन बनाने के लिए 15 सेमी, 30 सेमी, 15 सेमी आयाम वाले कितने घनाभों की आवश्यकता होगी?
(ए) 15
(बी) 4
(सी) 30
(डी) 5
उत्तर: (बी)
9. 729 _____________ का मान है।
(ए) 8³
(बी) 9³
(सी) 6³
(डी) 4³
उत्तर: (बी)
10. निम्नलिखित में से कौन सा एक पूर्ण घन है?
(ए) 125
(बी) 135
(सी) 145
(डी) 115
उत्तर: (ए)
1. The smallest natural number that can be divided by 135 to get a perfect cube is
(A) 5
(b) 3
(c) 15
(d) 9
Answer: (A)
2. Which of the following is not a perfect cube?
(A) 216
(B) 343
(c) 125
(d) 108
Answer: (D)
3. The expansion of a³ is _________.
(A) 3 × A
(B) A+A+A
(c) 3 × 3 × 3
(d) A × A × A
Answer: (D)
4. What will be the units digit of the cube of a number ending with 2?
(A) 8
(b) 4
(c) 2
(d) 6
Answer: (A)
5. What will be the units digit of the cube of a number ending with 4?
(A) 4
(b) 6
(c) 2
(d) 8
Answer: Try Yourself.
6. What will be the units digit of the cube of a number ending with 6?
(A) 4
(b) 6
(c) 2
(d) 8
Answer: (B)
7. The dimensions of a cuboid are 5 cm, 2 cm, 5 cm. How many such cuboids will be required to make a cube?
(A) 20
(B) 10
(c) 5
(d) 2
Answer: (A)
8. How many cuboids of dimensions 15 cm, 30 cm, 15 cm are required to make a cube?
(A) 15
(b) 4
(c) 30
(d) 5
Answer: (B)
9. 729 is the value of _____________.
(A) 8³
(b) 9³
(c) 6³
(d) 4³
Answer: (B)
10. Which of the following is a perfect cube?
(A) 125
(B) 135
(c) 145
(d) 115
Answer: (A)
Conclusion
Recap of Key Takeaways
Your Path to Mastering Cube And Cube Roots
Remember, mastering Chapter 7: Cube And Cube Roots is a significant step towards achieving success in the JNV Class 9 Entrance Exam. Stay tuned for more informative and engaging content here at jnvmaths.com, where we're committed to helping you excel in your math prep journey.
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