Mastering Chapter 7: Cube and Cube Roots – Your Ultimate Guide for JNV Class 9 Entrance Exam Math Prep
Welcome to JNVMaths.com, your go-to resource for all things related to Jawahar Navodaya Vidyalaya Class 9 Entrance Exam preparation. In this blog post, we will delve deep into Chapter 7: Cube and Cube Roots, a crucial topic that you need to ace to excel in your math exam. Whether you're a student aiming to secure a seat in a prestigious JNV school or a parent looking to support your child's education, this comprehensive guide will help you understand the intricacies of cubes and cube roots.
Table of Contents:
Understanding the Basics
What is a Cube?
What are Cube Numbers?
Introduction to Cube Roots
Properties of Cubes
How to Find the Cube of a Number
Recognizing Cube Numbers
Cube Roots Unveiled
Calculating Cube Roots
Cube Roots and Real-World Applications
Important Concepts and Formulas
Perfect Cubes vs. Non-Perfect Cubes
Factorization of Cubes
Problem-Solving Strategies
Solving JNV Entrance Exam Questions
Practice Exercises and Examples
Tips and Tricks
Shortcuts for Finding Cube Roots
Common Mistakes to Avoid
Resources for Further Learning
Recommended Books and Online Resources
Exam Success Stories
Interviews with JNV Toppers
1. 53 के घन का इकाई अंक है:
a) 9
b) 3
c) 7
d) 1
उत्तर: (सी)
2. 64 का अभाज्य गुणनखंडन है :
a) 2 x 2 x 2
b) 4 x 4 x 4
c) 8 x 8 x 8
d) उपरोक्त में से कोई नहीं
उत्तर: (बी)
3. निम्नलिखित में से कौन सा पूर्ण घन नहीं है?
ए) 216
बी) 1000
सी) 243
डी) 1331
उत्तर: (सी)
4. पूर्ण घन प्राप्त करने के लिए 81 को किस संख्या से विभाजित किया जाना चाहिए?
ए) 3
बी) 6
सी) 7
डी) 9
उत्तर: (ए)
5. एक पूर्ण घन प्राप्त करने के लिए हमें 135 को किस संख्या से विभाजित करना चाहिए?
ए) 3
बी) 5
सी) 7
डी) 9
उत्तर: (बी)
6. 512 का घनमूल है:
a) 4
b) 6
c) 8
d) 12
उत्तर: (सी)
7. एक पूर्ण घन बनाने के लिए 53240 को किससे विभाजित किया जाना चाहिए?
ए) 5
बी) 10
सी) 15
डी) 20
उत्तर: (ए)
8. 4 X 3 √1000 का मान है:
a) 400
b) 40
c) 10
d) 4
उत्तर: (बी)
9. एक पूर्ण घन ___ शून्य पर समाप्त नहीं होता है।
ए) 1
बी) 2
सी) 3
डी) 4
उत्तर: (बी)
10. 15625 का घनमूल है:
a) 5
b) 15
c) 25
d) 35
उत्तर: (सी)
1. The units digit of the cube of 53 is:
a) 9
b) 3
c) 7
d) 1
Answer: (c)
2. The prime factorization of 64 is:
a) 2 x 2 x 2
b) 4 x 4 x 4
c) 8 x 8 x 8
d) none of the above
Answer: (B)
3. Which of the following is not a perfect cube?
A) 216
B) 1000
C) 243
D) 1331
Answer: (c)
4. By what number should 81 be divided to get a perfect cube?
A) 3
B) 6
c) 7
D) 9
Answer: (A)
5. By what number should we divide 135 to get a perfect cube?
A) 3
B) 5
c) 7
D) 9
Answer: (B)
6. The cube root of 512 is:
a) 4
b) 6
c) 8
d) 12
Answer: (c)
7. What should 53240 be divided by to make a perfect cube?
A) 5
B) 10
C) 15
D) 20
Answer: (A)
8. The value of 4 X 3√1000 is:
a) 400
b) 40
c) 10
d) 4
Answer: (B)
9. A perfect cube ___ does not end at zero.
A) 1
B) 2
c) 3
D) 4
Answer: (B)
10. The cube root of 15625 is:
a) 5
b) 15
c) 25
d) 35
Answer: (c)
Conclusion:
By the time you finish reading this blog post, you'll have a strong grasp of Cube and Cube Roots, which will give you an edge in your JNV Class 9 Entrance Exam preparation. Stay tuned for more in-depth articles and resources on our website to help you succeed in your academic journey.
Remember, mastering math is not just about memorization but understanding the concepts. Happy learning, and best of luck with your exam preparation!
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