All Courses
Get the App Signup / Login
Sign in Open App
Class 10 Exam  >  Class 10 Tests  >  Mathematics (Maths) Class 10  >  Case Based Questions Test: Quadratic Equations - Class 10 MCQ

Case Based Questions Test: Quadratic Equations - Class 10 MCQ


Test Description

15 Questions MCQ Test Mathematics (Maths) Class 10 - Case Based Questions Test: Quadratic Equations

Case Based Questions Test: Quadratic Equations for Class 10 2024 is part of Mathematics (Maths) Class 10 preparation. The Case Based Questions Test: Quadratic Equations questions and answers have been prepared according to the Class 10 exam syllabus.The Case Based Questions Test: Quadratic Equations MCQs are made for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Case Based Questions Test: Quadratic Equations below.
Solutions of Case Based Questions Test: Quadratic Equations questions in English are available as part of our Mathematics (Maths) Class 10 for Class 10 & Case Based Questions Test: Quadratic Equations solutions in Hindi for Mathematics (Maths) Class 10 course. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free. Attempt Case Based Questions Test: Quadratic Equations | 15 questions in 30 minutes | Mock test for Class 10 preparation | Free important questions MCQ to study Mathematics (Maths) Class 10 for Class 10 Exam | Download free PDF with solutions
Case Based Questions Test: Quadratic Equations - Question 1
Save

Read the following text and answer the following questions on the basis of the same:

Nidhi and Ria are very close friends. Nidhi’s parents own a Maruti Alto and Ria’s parents own a Toyota Liva. Both the families decided to go for picnic to Somnath temple in Gujarat by their own cars. Nidhi car travels x km/h when Ria’s car travels 5 km/h more than Nidhi’s car Nidhi’s car took 4 hours more than Ria’s car in covering 400 km.

Q. Which of the following quadratic equations describe the speed of Nidhi’s car?

Detailed Solution for Case Based Questions Test: Quadratic Equations - Question 1

Let Speed of Nidhi = x km/h

Time taken = t + 4 km/h

Time = D/s

Speed of Ria = (x + 5) km/h

Time taken = t hour

According to the question,

⇒

⇒

⇒ x2 + 5x – 500 = 0

Case Based Questions Test: Quadratic Equations - Question 2
Save

Read the following text and answer the following questions on the basis of the same:

Nidhi and Ria are very close friends. Nidhi’s parents own a Maruti Alto and Ria’s parents own a Toyota Liva. Both the families decided to go for picnic to Somnath temple in Gujarat by their own cars. Nidhi car travels x km/h when Ria’s car travels 5 km/h more than Nidhi’s car Nidhi’s car took 4 hours more than Ria’s car in covering 400 km.

Q. How much time took Ria to travel 400 km?

Detailed Solution for Case Based Questions Test: Quadratic Equations - Question 2

x2 + 5x – 500 = 0

⇒ x2 + 25x – 20x – 500 = 0

⇒ x (x + 25) – 20 (x + 25) = 0

⇒ (x + 25)(x – 20) = 0 ⇒ x = – 25 (Rejected) and 20.
So, x = 20 (Nidhi speed)
now, 

Ria’s speed = 20 + 5 = 25 km/h

Distance = 400 km

Time = D/S = 400/25 = 16 hour

1 Crore+ students have signed up on EduRev. Have you? Download the App
Case Based Questions Test: Quadratic Equations - Question 3
Save

Read the following text and answer the following questions on the basis of the same:

Nidhi and Ria are very close friends. Nidhi’s parents own a Maruti Alto and Ria’s parents own a Toyota Liva. Both the families decided to go for picnic to Somnath temple in Gujarat by their own cars. Nidhi car travels x km/h when Ria’s car travels 5 km/h more than Nidhi’s car Nidhi’s car took 4 hours more than Ria’s car in covering 400 km.

Q. What will be the distance covered by Ria’s car in two hours?

Detailed Solution for Case Based Questions Test: Quadratic Equations - Question 3
We know that distance = Speed × time

= (x + 5) × 2 = 2(x + 5) km

Case Based Questions Test: Quadratic Equations - Question 4
Save

Read the following text and answer the following questions on the basis of the same:

Nidhi and Ria are very close friends. Nidhi’s parents own a Maruti Alto and Ria’s parents own a Toyota Liva. Both the families decided to go for picnic to Somnath temple in Gujarat by their own cars. Nidhi car travels x km/h when Ria’s car travels 5 km/h more than Nidhi’s car Nidhi’s car took 4 hours more than Ria’s car in covering 400 km.

Q. What is the speed of Nidhi’s car?
Detailed Solution for Case Based Questions Test: Quadratic Equations - Question 4

x2 + 5x – 500 = 0

⇒ x2 + 25x – 20x – 500 = 0

⇒ x (x + 25) – 20 (x + 25) = 0

⇒ (x + 25)(x – 20) = 0 ⇒ x = – 25 (Rejected) and 20

Case Based Questions Test: Quadratic Equations - Question 5
Save

Read the following text and answer the following questions on the basis of the same:

Nidhi and Ria are very close friends. Nidhi’s parents own a Maruti Alto and Ria’s parents own a Toyota Liva. Both the families decided to go for picnic to Somnath temple in Gujarat by their own cars. Nidhi car travels x km/h when Ria’s car travels 5 km/h more than Nidhi’s car Nidhi’s car took 4 hours more than Ria’s car in covering 400 km.

Q. Name the shape of quadratic equation in graph
Detailed Solution for Case Based Questions Test: Quadratic Equations - Question 5
The graph of a quadratic function is called a parabola and has a curved shape. One of the main points of a parabola is its vertex. It is the highest or the lowest point on its graph. You can think of like an endpoint of a parabola.
Case Based Questions Test: Quadratic Equations - Question 6
Save

Read the following text and answer the following questions on the basis of the same:

Aniket is studying in X standard. He is created a pole at on the boundary of a circular park of diameter 17 m in such a way that the difference of its distances from two diametrically opposite fixed gates A and B on the boundary is 7m.

Q. Find the distance between pole and gate B.
Detailed Solution for Case Based Questions Test: Quadratic Equations - Question 6
x2 + 7x – 120 = 0

x2 + 15x – 8x – 120 = 0

x (x + 15) – 8 (x + 15) = 0

x = 8 and x = – 15 (rejected)

Case Based Questions Test: Quadratic Equations - Question 7
Save

Read the following text and answer the following questions on the basis of the same:

Aniket is studying in X standard. He is created a pole at on the boundary of a circular park of diameter 17 m in such a way that the difference of its distances from two diametrically opposite fixed gates A and B on the boundary is 7m.

Q. What is the length of (AP + BP)?
Detailed Solution for Case Based Questions Test: Quadratic Equations - Question 7
AP + BP = 15 + 8 = 23 cm
Case Based Questions Test: Quadratic Equations - Question 8
Save

Read the following text and answer the following questions on the basis of the same:

Aniket is studying in X standard. He is created a pole at on the boundary of a circular park of diameter 17 m in such a way that the difference of its distances from two diametrically opposite fixed gates A and B on the boundary is 7m.

Q. Find a quadratic equations in variable x for above situation.
Detailed Solution for Case Based Questions Test: Quadratic Equations - Question 8
Let the distance of the pole from the gate B be x i.e. BP = x cm.

Therefore, AP = x + 7 m Now, AB = 17 m and since AB is a diameter.

Apply Pythagoras theorem,

AB2 = AP2 + BP2

172 = (x + 7)2 + x2

289 = x2 + 49 + 14x + x2

x2 + 7x – 120 = 0

Case Based Questions Test: Quadratic Equations - Question 9
Save

Read the following text and answer the following questions on the basis of the same:

Aniket is studying in X standard. He is created a pole at on the boundary of a circular park of diameter 17 m in such a way that the difference of its distances from two diametrically opposite fixed gates A and B on the boundary is 7m.

Q. Find the distance between pole and gate A.
Detailed Solution for Case Based Questions Test: Quadratic Equations - Question 9
AP = x + 7 = 8 + 7 = 15 cm
Case Based Questions Test: Quadratic Equations - Question 10
Save

Read the following text and answer the following questions on the basis of the same:

Aniket is studying in X standard. He is created a pole at on the boundary of a circular park of diameter 17 m in such a way that the difference of its distances from two diametrically opposite fixed gates A and B on the boundary is 7m.

Q. Find the area of triangle ABP.
Detailed Solution for Case Based Questions Test: Quadratic Equations - Question 10

AP - BP = 7
AB2 = AP2 + BP2
172 = AP2 + BP2
289 =  AP2 + BP2
using above equation we will get AP = 15 BP = 8 
Area of triangle ABP = 1/2 × 15 × 8 = 60 cm2.

Case Based Questions Test: Quadratic Equations - Question 11
Save

Read the following text and answer the following questions on the basis of the same:

A small scale industry produces a certain boxes of candles in a day. Number of boxes prepared by each worked on a particular day was 2 more than thrice the number of workers working in the industry. The number of boxes produced in a particular day was 85.

Q. Represent the above equation in quadratic equation.
Detailed Solution for Case Based Questions Test: Quadratic Equations - Question 11
The Correct equation Formed

3x2 + 2x – 85

Case Based Questions Test: Quadratic Equations - Question 12
Save

Read the following text and answer the following questions on the basis of the same:

A small scale industry produces a certain boxes of candles in a day. Number of boxes prepared by each worked on a particular day was 2 more than thrice the number of workers working in the industry. The number of boxes produced in a particular day was 85.

Q. Number of workers working in the industry:
Detailed Solution for Case Based Questions Test: Quadratic Equations - Question 12
Let the workers are x, Number of boxes prepared by the workers

= 2 + 3x

According to the question,

x(2 + 3x) = 85

⇒ 3x2 + 2x – 85 = 0

⇒ 3x2 + 17x – 15x – 85 = 0

⇒ x(3x + 17) – 5(3x + 17) = 0 ⇒

⇒ (3x + 17)(x – 5) = 0

⇒ x = 5

Case Based Questions Test: Quadratic Equations - Question 13
Save

Read the following text and answer the following questions on the basis of the same:

A small scale industry produces a certain boxes of candles in a day. Number of boxes prepared by each worked on a particular day was 2 more than thrice the number of workers working in the industry. The number of boxes produced in a particular day was 85.

Q. If the number of workers working in the industry is x. What was the number of boxes of candles prepared by each worker on that particular day?
Detailed Solution for Case Based Questions Test: Quadratic Equations - Question 13
Let the workers are x, Number of boxes prepared by the workers

= 2 + 3x

According to the question,

x(2 + 3x) = 85

⇒ 3x2 + 2x – 85 = 0

⇒ 3x2 + 17x – 15x – 85 = 0

⇒ x(3x + 17) – 5(3x + 17) = 0 ⇒

⇒ (3x + 17)(x – 5) = 0

⇒ x = 5

Case Based Questions Test: Quadratic Equations - Question 14
Save

Read the following text and answer the following questions on the basis of the same:

A small scale industry produces a certain boxes of candles in a day. Number of boxes prepared by each worked on a particular day was 2 more than thrice the number of workers working in the industry. The number of boxes produced in a particular day was 85.

Q. Nature of roots of the above quadratic equation are:
Detailed Solution for Case Based Questions Test: Quadratic Equations - Question 14
We can see, the discriminant of the given quadratic equation is positive but not a perfect square. Hence, the roots of a quadratic equation are real, unequal.
Case Based Questions Test: Quadratic Equations - Question 15
Save

Read the following text and answer the following questions on the basis of the same:

A small scale industry produces a certain boxes of candles in a day. Number of boxes prepared by each worked on a particular day was 2 more than thrice the number of workers working in the industry. The number of boxes produced in a particular day was 85.

Q. How many boxes will be prepared when number of workers are increased by 2.
Detailed Solution for Case Based Questions Test: Quadratic Equations - Question 15
Number of workers = x

Number of workers when increased by 2 = x + 2

∴ Number of boxes prepared by the workers

(x + 2) = (x + 3) [2 + 3 (x + 2)

= 7 [2 + 3 × 7] [∵ x = 5]

= 7 × 23

= 161.

123 videos|457 docs|77 tests
Join Course
Information about Case Based Questions Test: Quadratic Equations Page
In this test you can find the Exam questions for Case Based Questions Test: Quadratic Equations solved & explained in the simplest way possible. Besides giving Questions and answers for Case Based Questions Test: Quadratic Equations, EduRev gives you an ample number of Online tests for practice

Top Courses for Class 10

123 videos|457 docs|77 tests
Join Course
Download as PDF

Top Courses for Class 10

Important Questions for Case Based Questions Test: Quadratic Equations

Find all the important questions for Case Based Questions Test: Quadratic Equations at EduRev.Get fully prepared for Case Based Questions Test: Quadratic Equations with EduRev's comprehensive question bank and test resources. Our platform offers a diverse range of question papers covering various topics within the Case Based Questions Test: Quadratic Equations syllabus. Whether you need to review specific subjects or assess your overall readiness, EduRev has you covered. The questions are designed to challenge you and help you gain confidence in tackling the actual exam. Maximize your chances of success by utilizing EduRev's extensive collection of Case Based Questions Test: Quadratic Equations resources.

Case Based Questions Test: Quadratic Equations MCQs with Answers

Prepare for the Case Based Questions Test: Quadratic Equations within the Class 10 exam with comprehensive MCQs and answers at EduRev. Our platform offers a wide range of practice papers, question papers, and mock tests to familiarize you with the exam pattern and syllabus. Access the best books, study materials, and notes curated by toppers to enhance your preparation. Stay updated with the exam date and receive expert preparation tips and paper analysis. Visit EduRev's official website today and access a wealth of videos and coaching resources to excel in your exam.

Online Tests for Case Based Questions Test: Quadratic Equations Mathematics (Maths) Class 10

Practice with a wide array of question papers that follow the exam pattern and syllabus. Our platform offers a user-friendly interface, allowing you to track your progress and identify areas for improvement. Access detailed solutions and explanations for each test to enhance your understanding of concepts. With EduRev's Online Tests, you can build confidence, boost your performance, and ace Case Based Questions Test: Quadratic Equations with ease. Join thousands of successful students who have benefited from our trusted online resources.
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup