Welcome to JNVMaths.com, your go-to resource for mastering the math curriculum required for the Jawahar Navodaya Vidyalaya Class 9 Entrance Exam. In this blog post, we'll dive deep into Chapter 7: Cube and Cube Roots, offering you a comprehensive and engaging guide to help you ace this crucial topic.
Unraveling the Mysteries of Cubes and Cube Roots
In this section, we'll demystify the concept of cubes and cube roots, explaining what they are and why they matter in math.
Understanding the Basics
Explore the fundamental concepts related to cubes and cube roots, including the difference between squares and cubes and the properties of perfect cubes.
Cube Roots Made Simple
Dive into the world of cube roots with clear explanations, examples, and step-by-step solutions. We'll also provide handy tips to quickly calculate cube roots in your head.
Practical Applications
Discover how the knowledge of cubes and cube roots can be applied to real-life problems, showcasing the relevance of this topic in everyday scenarios.
Cracking JNV Entrance Exam Questions
We'll walk you through a series of practice questions specifically tailored to the JNV Class 9 Entrance Exam. Each question will be accompanied by detailed solutions and tips on how to approach similar problems.
Interactive Learning Resources
Explore a variety of engaging resources such as interactive quizzes, videos, and practice worksheets to reinforce your understanding of cubes and cube roots.
Expert Insights
Gain insights from experienced educators and JNV exam toppers who have successfully navigated the Cube and Cube Roots section.
Strategies for Success
Learn effective study strategies, time management tips, and how to create a study plan that works for you, ensuring you are well-prepared for your JNV Class 9 Entrance Exam.
Frequently Asked Questions
Find answers to common queries about this chapter, addressing doubts that many students often encounter.
Stay Connected with JNVMaths.com
Don't miss out on future updates, additional study materials, and tips. Subscribe to our newsletter and follow us on social media to stay connected.
1. निम्नलिखित में से कौन सा पूर्ण घन नहीं है?
(ए) 1
(बी) 9
(सी) 8
(डी) 27
उत्तर: (बी)
2. 4 का घन _____________ है।
(ए) 12
(बी) 8
(सी) 4
(डी) 64
उत्तर: (डी)
3. 5³ का मान ________ है।
(ए) 125
(बी) 15
(सी) 10
(डी) 75
उत्तर: (डी)
4. सम संख्या का घन हमेशा __________ होता है।
(ए) विषम संख्या
(बी) सम संख्या
(सी) अभाज्य संख्या
(डी) इनमें से कोई नहीं
उत्तर: (बी)
5. विषम संख्या का घन हमेशा ________ होता है।
(ए) विषम संख्या
(बी) सम संख्या
(सी) अभाज्य संख्या
(डी) इनमें से कोई नहीं
उत्तर: (ए)
6. प्रत्येक अभाज्य गुणनखंड अपने घन में _______ बार आता है?
(ए) 2
(बी) 3
(सी) 1
(डी) 4
उत्तर: (बी)
7. निम्नलिखित में से कौन हार्डी-रामानुजन संख्या है?
(ए) 1724
(बी) 1725
(सी) 1727
(डी) 1729
उत्तर: (डी)
8. 392 को किस सबसे छोटी प्राकृत संख्या से गुणा किया जाना चाहिए ताकि गुणनफल एक पूर्ण घन बन सके?
(ए) 2
(बी) 14
(सी) 7
(डी) 49
उत्तर: (सी)
9. वह सबसे छोटी प्राकृतिक संख्या, जिससे 243 को गुणा करने पर गुणनफल एक पूर्ण घन बन जाता है, ________ है।
(ए) 3
(बी) 9
(सी) 8
(डी) 7
उत्तर: (ए)
10. एक पूर्ण घन प्राप्त करने के लिए 704 को विभाजित करने वाली सबसे छोटी प्राकृतिक संख्या है
(ए) 22
(बी) 12
(सी) 11
(डी) 13
उत्तर: (सी)
1. Which of the following is not a perfect cube?
(A) 1
(b) 9
(c) 8
(d) 27
Answer: (B)
2. The cube of 4 is _____________.
(A) 12
(b) 8
(c) 4
(d) 64
Answer: (D)
3. The value of 5³ is ________.
(A) 125
(B) 15
(c) 10
(d) 75
Answer: (D)
4. The cube of an even number is always __________.
(a) odd number
(b) even number
(c) prime number
(d) none of these
Answer: (B)
5. The cube of an odd number is always ________.
(a) odd number
(b) even number
(c) prime number
(d) none of these
Answer: (A)
6. Every prime factor occurs _______ times in its cube?
(A) 2
(b) 3
(c) 1
(d) 4
Answer: (B)
7. Which of the following is Hardy-Ramanujan number?
(A) 1724
(B) 1725
(c) 1727
(d) 1729
Answer: (D)
8. By what smallest natural number should 392 be multiplied so that the product becomes a perfect cube?
(A) 2
(B) 14
(c) 7
(d) 49
Answer: (c)
9. The smallest natural number by which 243 is multiplied so that the product becomes a perfect cube is ________.
(A) 3
(b) 9
(c) 8
(d) 7
Answer: (A)
10. The smallest natural number that can be divided by 704 to get a perfect cube is
(A) 22
(B) 12
(c) 11
(d) 13
Answer: (c)
Conclusion:
At JNVMaths.com, we are committed to helping you succeed in your Jawahar Navodaya Vidyalaya Class 9 Entrance Exam. Mastering Chapter 7: Cube and Cube Roots is a significant step in your math preparation journey, and with the resources and guidance provided in this blog post, you're well on your way to achieving your goals. So, let's embark on this learning adventure together and make math preparation enjoyable and effective. Good luck!
Komen