Class 10 Exam > Class 10 Questions > Read the following text and answer the follo...
Start Learning for Free
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:
- a)5
- b)6
- c)17
- d)8
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Read the following text and answer the following questions on the bas...
Let the workers are x, Number of boxes prepared by the workers
View all questions of this test
= 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
Most Upvoted Answer
Read the following text and answer the following questions on the bas...
Given:
- A small scale industry produces a certain number of boxes of candles in a day.
- The number of boxes prepared by each worker on a particular day was 2 more than thrice the number of workers.
- The total number of boxes produced in a particular day was 85.
To Find:
The number of workers working in the industry.
Solution:
Let's assume the number of workers in the industry as 'x'.
Number of boxes prepared by each worker:
According to the given information, the number of boxes prepared by each worker on a particular day was 2 more than thrice the number of workers. Mathematically, we can represent it as:
Number of boxes prepared by each worker = 3x + 2
Total number of boxes produced:
The total number of boxes produced in a particular day was given as 85.
So, we can set up the following equation:
Total number of boxes = Number of workers * Number of boxes prepared by each worker
85 = x * (3x + 2)
Solving the equation:
We need to solve the quadratic equation to find the value of 'x'.
85 = x * (3x + 2)
85 = 3x^2 + 2x
3x^2 + 2x - 85 = 0
To solve this quadratic equation, we can either factorize it or use the quadratic formula. Let's use the quadratic formula:
The quadratic formula is given by:
x = (-b ± sqrt(b^2 - 4ac)) / (2a)
Here, a = 3, b = 2, and c = -85.
Substituting the values in the quadratic formula, we have:
x = (-2 ± sqrt(2^2 - 4(3)(-85))) / (2 * 3)
x = (-2 ± sqrt(4 + 1020)) / 6
x = (-2 ± sqrt(1024)) / 6
x = (-2 ± 32) / 6
Simplifying further, we have:
x = (30/6) or (-34/6)
x = 5 or -17/3
Since the number of workers cannot be negative or in fractions, we can conclude that the number of workers working in the industry is 5 (option A).
Therefore, the correct answer is option A.
- A small scale industry produces a certain number of boxes of candles in a day.
- The number of boxes prepared by each worker on a particular day was 2 more than thrice the number of workers.
- The total number of boxes produced in a particular day was 85.
To Find:
The number of workers working in the industry.
Solution:
Let's assume the number of workers in the industry as 'x'.
Number of boxes prepared by each worker:
According to the given information, the number of boxes prepared by each worker on a particular day was 2 more than thrice the number of workers. Mathematically, we can represent it as:
Number of boxes prepared by each worker = 3x + 2
Total number of boxes produced:
The total number of boxes produced in a particular day was given as 85.
So, we can set up the following equation:
Total number of boxes = Number of workers * Number of boxes prepared by each worker
85 = x * (3x + 2)
Solving the equation:
We need to solve the quadratic equation to find the value of 'x'.
85 = x * (3x + 2)
85 = 3x^2 + 2x
3x^2 + 2x - 85 = 0
To solve this quadratic equation, we can either factorize it or use the quadratic formula. Let's use the quadratic formula:
The quadratic formula is given by:
x = (-b ± sqrt(b^2 - 4ac)) / (2a)
Here, a = 3, b = 2, and c = -85.
Substituting the values in the quadratic formula, we have:
x = (-2 ± sqrt(2^2 - 4(3)(-85))) / (2 * 3)
x = (-2 ± sqrt(4 + 1020)) / 6
x = (-2 ± sqrt(1024)) / 6
x = (-2 ± 32) / 6
Simplifying further, we have:
x = (30/6) or (-34/6)
x = 5 or -17/3
Since the number of workers cannot be negative or in fractions, we can conclude that the number of workers working in the industry is 5 (option A).
Therefore, the correct answer is option A.
Free Test
FREE
| Start Free Test |
Community Answer
Read the following text and answer the following questions on the bas...
How many
boxes will be prepared when the number of workers are increased by 2
boxes will be prepared when the number of workers are increased by 2
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
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:a)5b)6c)17d)8Correct answer is option 'A'. Can you explain this answer?
Question Description
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:a)5b)6c)17d)8Correct answer is option 'A'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about 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:a)5b)6c)17d)8Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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:a)5b)6c)17d)8Correct answer is option 'A'. Can you explain this answer?.
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:a)5b)6c)17d)8Correct answer is option 'A'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about 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:a)5b)6c)17d)8Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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:a)5b)6c)17d)8Correct answer is option 'A'. Can you explain this answer?.
Solutions for 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:a)5b)6c)17d)8Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of 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:a)5b)6c)17d)8Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
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:a)5b)6c)17d)8Correct answer is option 'A'. Can you explain this answer?, a detailed solution for 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:a)5b)6c)17d)8Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of 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:a)5b)6c)17d)8Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice 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:a)5b)6c)17d)8Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup