Welcome to JNVMaths.com, your trusted resource for acing the MISSION BUNIYAAD HARYANA Entrance Exam. In this comprehensive blog post, we'll delve into the essential topic of "Rational Numbers," providing a detailed explanation along with engaging math quizzes to help you strengthen your grasp of this fundamental concept. Let's embark on this learning journey together.
Rational Numbers: The Foundation of Mathematics
Rational numbers are the building blocks of mathematics. They play a crucial role in various mathematical operations and are indispensable for solving a wide range of problems. To excel in the MISSION BUNIYAAD HARYANA Entrance Exam, you must have a solid understanding of rational numbers. In this post, we'll break down this topic into manageable sections to make your learning experience both enjoyable and effective.
Understanding Rational Numbers
Defining Rational Numbers
To start, let's define what rational numbers are. Rational numbers can be expressed as a ratio of two integers, where the denominator is not zero. They include fractions, decimals, and integers, among other forms.
Identifying Rational Numbers
Learn how to identify rational numbers and distinguish them from other types of numbers, such as irrational numbers and real numbers.
Operations with Rational Numbers
Addition and Subtraction
Discover how to add and subtract rational numbers, including different strategies and problem-solving techniques.
Multiplication and Division
Explore the rules for multiplying and dividing rational numbers, with step-by-step examples to reinforce your understanding.
Rational Numbers in Real Life
Rational numbers have practical applications in everyday life. We'll provide real-world examples of how rational numbers are used in areas like finance, measurements, and cooking, making the learning experience relatable and enjoyable.
Interactive Math Quizzes
Learning by doing is often the most effective way to grasp mathematical concepts. In this blog post, we've included interactive math quizzes at the end of each section. Test your knowledge, challenge yourself, and receive instant feedback to gauge your progress. The quizzes are designed to be fun, engaging, and tailored to the MISSION BUNIYAAD HARYANA Entrance Exam requirements.
Tips for Exam Success
To round up your preparation, we'll provide valuable tips on how to excel in the MISSION BUNIYAAD HARYANA Entrance Exam. These tips encompass effective study strategies, time management, and how to approach the exam with confidence.
1. एक पूर्णांक हो सकता है:
a) केवल धनात्मक
b) केवल ऋणात्मक
c) धनात्मक और ऋणात्मक दोनों
d) उपरोक्त में से कोई नहीं
उत्तर/स्पष्टीकरण
उत्तर: (c)
स्पष्टीकरण: एक पूर्णांक धनात्मक और ऋणात्मक दोनों के साथ-साथ शून्य भी हो सकता है।
2. एक परिमेय संख्या को इस रूप में दर्शाया जा सकता है:
a) p/q
b) pq
c) p+q
d) pq
उत्तर/स्पष्टीकरण
उत्तर: (a)
स्पष्टीकरण: एक परिमेय संख्या को पी/क्यू के रूप में दर्शाया जा सकता है जहां पी और क्यू पूर्णांक हैं और क्यू शून्य के बराबर नहीं है।
3. ½ x ⅗ का मान बराबर है:
a) ½
b) 3/10
c) ⅗
d) ⅖
उत्तर: (b)
स्पष्टीकरण: ½ x ⅗ = (1×3)/(2×5) = 3/10
4. (½) ÷ (⅗) का मान बराबर है:
a) 3/10
b) ⅗
c) 6/5
d) ⅚
उत्तर: (d)
स्पष्टीकरण: (½) ÷ (⅗) = (½) x (5/3) = (1×5)/(2×3) = ⅚
5. ½ + ¼ का मान बराबर है:
a) ¾
b) 3/2
c) ⅔
d) 1
उत्तर: (a)
स्पष्टीकरण: ½ + ¼
हर को बराबर बनाना:
2/4 + ¼ = (2+1)/4 = ¾
6. 5/4 – 8/3 का मान है:
a) 17/12
b) -17/12
c) 12/17
d) -12/17
उत्तर: (b)
स्पष्टीकरण: 5/4 - 8/3
हर को बराबर बनाना:
[(5/4) x (3/3)] - [(8/3) x (4/4)]
15/12 – 32/12
= (15-32)/12
= -17/12
7. साहचर्य गुण निम्नलिखित पर लागू होता है:
a) जोड़ और घटाव
b) गुणा और भाग
c) जोड़ और गुणा
d) घटाव और भाग
उत्तर: (c)
स्पष्टीकरण: साहचर्य संपत्ति के अनुसार:
ए+बी = बी+ए
एबी = बीए
जहाँ A और B दो पूर्णांक हैं।
8. (-10/3) x (-15/2) x (17/19) x 0 का मान है:
a) 0
b) 22.66
c) 20
d) 35
उत्तर: (a)
स्पष्टीकरण: किसी भी संख्या को शून्य से गुणा करने पर वह शून्य के बराबर होती है।
9. परिमेय संख्याओं की योगात्मक पहचान है:
a) 0
b) 1
c) 2
d) -1
उत्तर: (a)
स्पष्टीकरण: शून्य में कोई भी संख्या जोड़ने पर वह संख्या के बराबर होती है।
उदाहरण: 5+0 = 5
10. परिमेय संख्याओं की गुणात्मक पहचान है:
a) 0
b) 1
c) 2
d) -1
उत्तर: (b)
स्पष्टीकरण: किसी भी संख्या को 1 से गुणा करने पर वह संख्या के बराबर होती है
उदाहरण: 5 x 1 = 5
हमें उम्मीद
1. An integer can be:
a) only positive
b) only negative
c) both positive and negative
d) none of the above
Answer: (c)
Explanation: An integer can be both positive and negative as well as zero.
2. A rational number can be represented as:
a) p/q
b) pq
c) p+q
d) pq
Answer: (A)
Explanation: A rational number can be represented as p/q where p and q are integers and q is not equal to zero.
3. The value of ½ x ⅗ is equal to:
a) ½
b) 3/10
c)⅗
d)⅖
Answer: (B)
Explanation: ½ x ⅗ = (1×3)/(2×5) = 3/10
4. The value of (½) ÷ (⅗) is equal to:
a) 3/10
b)⅗
c) 6/5
d) ⅚
Answer: (D)
Explanation: (½) ÷ (⅗) = (½) x (5/3) = (1×5)/(2×3) = ⅚
5. The value of ½ + ¼ is equal to:
a) ¾
b) 3/2
c) ⅔
d) 1
Answer: (A)
Explanation: ½ + ¼
Making the denominators equal:
2/4 + ¼ = (2+1)/4 = ¾
6. The value of 5/4 – 8/3 is:
a) 17/12
b) -17/12
c) 12/17
d) -12/17
Answer: (B)
Explanation: 5/4 - 8/3
Making the denominators equal:
[(5/4) x (3/3)] - [(8/3) x (4/4)]
15/12 – 32/12
= (15-32)/12
= -17/12
7. Associative property applies to the following:
a) Addition and subtraction
b) multiplication and division
c) Addition and multiplication
d) subtraction and division
Answer: (c)
Explanation: According to associative property:
A+B = B+A
AB = BA
Where A and B are two integers.
8. The value of (-10/3) x (-15/2) x (17/19) x 0 is:
a) 0
b) 22.66
c) 20
d) 35
Answer: (A)
Explanation: Any number multiplied by zero is equal to zero.
9. The additive identity of rational numbers is:
a) 0
b) 1
c) 2
d) -1
Answer: (A)
Explanation: Any number added to zero equals that number.
Example: 5+0 = 5
10. The multiplicative identity of rational numbers is:
a) 0
b) 1
c) 2
d) -1
Answer: (B)
Explanation: Any number multiplied by 1 is equal to the number
Example: 5 x 1 = 5
we hope
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Conclusion
Mastering rational numbers is the first step towards acing the MISSION BUNIYAAD HARYANA Entrance Exam. With our comprehensive explanation and engaging math quizzes, you'll be well-prepared to tackle this essential topic with confidence. Keep practicing, stay motivated, and let JNVMaths.com be your trusted companion on your journey to success.
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