Welcome to JNVMaths.com, your trusted resource for acing the Mission Buniyaad Haryana Entrance Exam Math section. In this blog post, we'll focus on a crucial topic: "Linear Equations in One Variable." We'll not only explain the core concepts but also make it engaging with interactive quizzes to test your knowledge. Let's embark on this mission together!
Chapter 1: Unveiling Linear Equations in One Variable Linear equations are fundamental in mathematics, and understanding them is key to success in the Mission Buniyaad Haryana Entrance Exam. Linear equations in one variable involve expressions that can be simplified to the form "ax + b = c," where 'a,' 'b,' and 'c' are constants. These equations play a significant role in solving real-world problems.
Chapter 2: The Basics of Linear Equations
What is a Linear Equation? - We'll start by defining what a linear equation in one variable is and why it's essential.
Solving Linear Equations - Learn various methods to solve linear equations, including the balance method and inverse operations.
Chapter 3: Interactive Quizzes Let's keep the learning engaging with these interactive quizzes:
Quiz 1: Linear Equation Essentials - Test your knowledge of the core concepts.
Quiz 2: Solving Linear Equations - Practice solving equations step by step.
Chapter 4: Real-Life Applications Linear equations have real-world applications, and understanding these applications can make your learning more relatable:
Budgeting with Linear Equations - Explore how linear equations can help with budgeting and financial planning.
Distance-Time Problems - Learn how to use linear equations to solve distance-time problems, such as calculating travel time.
Chapter 5: Tips for Success To excel in the Mission Buniyaad Haryana Entrance Exam, here are some essential tips:
Practice Regularly - The more you practice, the more confident you'll become in solving linear equations.
Understand the Basics - A strong foundation in the fundamentals of linear equations will be your key to success.
Seek Help When Needed - Don't hesitate to ask for help from teachers or peers if you face challenges.
Chapter 6: Stay Connected
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1. निम्नलिखित में से कौन सा एक चर वाला रैखिक समीकरण नहीं है?
a) 33
b) 33(x+y)
c) 33x
d) 33y
उत्तर: (b)
2. 2x-3=7 का हल है:
a) 5
b) 7
c) 12
d) 11
उत्तर: (a)
3. 2y + 9 = 4 का हल है:
a) 9/2
b) 4/9
c) -⅖
d) -5/2
उत्तर: (d)
4. y/5 = 10 का हल है:
a) 15
b) 10
c) 50
d) 5
उत्तर: (c)
5. 3/7 प्राप्त करने के लिए -7/3 में क्या जोड़ना चाहिए?
ए) 21/58
बी) 58/21
सी) 47/21
डी) 50/21
उत्तर: (बी)
6. आयत का परिमाप 20 सेमी है। यदि आयत की लंबाई 6 सेमी है, तो इसकी चौड़ाई होगी:
a) 4 सेमी
b) 6 सेमी
c) 10 सेमी
d) 14 सेमी
उत्तर: (a)
7. पिता की आयु पुत्र की आयु की तीन गुनी है। यदि पुत्र की आयु 15 वर्ष है, तो पिता की आयु है:
a) 50 वर्ष
b) 55 वर्ष
c) 40 वर्ष
d) 45 वर्ष
उत्तर: (d)
8. दो पूर्ण संख्याओं के बीच का अंतर 66 है। दोनों संख्याओं का अनुपात 2: 5 है। दोनों संख्याएँ हैं:
a) 60 और 6
b) 100 और 33
c) 110 और 44
d) 99 और 33
उत्तर: (c)
9. तीन क्रमागत पूर्णांकों का योग 51 होता है। पूर्णांक हैं:
a) 16,17,18
b) 15,16,17
c) 17,18,19
d) 18,19,20
उत्तर: (a)
10. 3m = 5m – (8/5) का हल है:
a) 8/5
b) ⅘
c) 5/4
d) 4/3
उत्तर: (b)
1. Which of the following is not a linear equation in one variable?
a) 33
b) 33(x+y)
c) 33x
d) 33y
Answer: (B)
2. The solution of 2x-3=7 is:
a) 5
b) 7
c) 12
d) 11
Answer: (A)
3. The solution of 2y + 9 = 4 is:
a) 9/2
b) 4/9
c) -⅖
d) -5/2
Answer: (D)
4. The solution of y/5 = 10 is:
a) 15
b) 10
c) 50
d) 5
Answer: (c)
5. What should be added to -7/3 to get 3/7?
A) 21/58
B) 58/21
C) 47/21
D) 50/21
Answer: (B)
6. The perimeter of the rectangle is 20 cm. If the length of the rectangle is 6 cm, its breadth will be:
a) 4 cm
b) 6 cm
c) 10 cm
d) 14 cm
Answer: (A)
7. The age of the father is three times the age of the son. If the age of the son is 15 years, then the age of the father is:
a) 50 years
b) 55 years
c) 40 years
d) 45 years
Answer: (D)
8. The difference between two whole numbers is 66. The ratio of both the numbers is 2:5. Both numbers are:
a) 60 and 6
b) 100 and 33
c) 110 and 44
d) 99 and 33
Answer: (c)
9. The sum of three consecutive integers is 51. The integers are:
a) 16,17,18
b) 15,16,17
c) 17,18,19
d) 18,19,20
Answer: (A)
10. The solution of 3m = 5m – (8/5) is:
a) 8/5
b) ⅘
c) 5/4
d) 4/3
Answer: (B)
Conclusion
Mastering linear equations in one variable is crucial for the Mission Buniyaad Haryana Entrance Exam. With our comprehensive guide and interactive quizzes, you're well on your way to success. Remember, practice and a strong understanding of the basics are your best allies. Keep up the great work and stay committed to your mission!
Stay tuned for more exam-specific resources and guidance on JNVMaths.com. Your success is our mission!
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