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Case Study Questions Class 10 Maths Arithmetic Progressions

Case study questions class 10 maths chapter 5 arithmetic progressions.

CBSE Class 10 Case Study Questions Maths Arithmetic Progressions. Term 2 Important Case Study Questions for Class 10 Board Exam Students. Here we have arranged some Important Case Base Questions for students who are searching for Paragraph Based Questions Arithmetic Progressions.

At Case Study Questions there will given a Paragraph. In where some Important Questions will made on that respective Case Based Study. There will various types of marks will given 1 marks, 2 marks, 3 marks, 4 marks.

CBSE Case Study Questions Class 10 Maths Arithmetic Progressions

Case Study – 1

Q.1) Aditya is celebrating his birthday. He invited his friends. He bought a packet of toffees/candies which contains 120 candies. He arranges the candies such that in the first row there are 3 candies, in second there are 5 candies, in third there are 7 candies and so on.

[ KVS Raipur 2021 – 22 ]

On the basis of the above information, answer any four of the following questions:

(i) Find the total number of rows of candies.

(ii) Find the difference in number of candies placed in 7th and 3rd rows.

(i) There is an AP: 3,5,7,

a = 3 & d = 2 so apply let there are n rows sum of n terms = n/2 {2 + ( − 1)}

120 = n/2 {2 × 3 + (n − 1) 2}

we get n 2 + 2n − 120 = 0 then n = 10 & − 12 So there are 10 rows

(ii) 7th row=3+(7-1)X2 = 3 + 12 = 15 and 3rd row = 3+(3-1) X 2 = 7 their diff.= 8

CASE STUDY 2:

Your elder brother wants to buy a car and plans to take loan from a bank for his car. He repays his total loan of Rs 1,18,000 by paying every month starting with the first instalment of Rs 1000. If he increases the instalment by Rs 100 every month, answer the following:

[ CBSE Academic Question Bank ]

(1) The amount paid by him in 30th installment is

Answer: (a) 3900

(2) The amount paid by him in the 30 installments is

Answer: (b) 73500

(3) What amount does he still have to pay offer 30th installment?

Answer: (c) 44500

(4) If total installments are 40 then amount paid in the last installment?

Answer: (a) 4900

(5) The ratio of the 1st installment to the last installment is

Answer: (b) 10:49

Case Study – 3

India is competitive manufacturing location due to the low cost of manpower and strong technical and engineering capabilities contributing to higher quality production runs. The production of TV sets in a factory increases uniformly by a fixed number every year. It produced 16000 sets in 6th year and 22600 in 9th year.

1.) In which year, the production is Rs 29,200.

2.) Find the production during first year.

Ans: Rs – 5000

3.) Find the difference of the production during 7th year and 4th year.

Ans: Difference= 18200-11600=6600

4.) Find the production during first 3 years.

Ans: Production during first 3 year= 5000 + 7200 + 9400 = 21600

5.) Find the production during 8th year.

Ans: Production during 8th year is (a+7d) = 5000 + 2 (2200) = 20400

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Class 10 Maths Chapter 5 Case Based Questions - Arithmetic Progressions

Case study - 1.

Case Study - 2

Case Study - 3

Based on the above information, answer the following questions:

Q1: Find the production during first year. Ans: We are given that the production of TV sets in the factory is increasing uniformly. This means that we can apply the formula of an arithmetic progression, where the nth term (a_n) is given by a + (n-1)d. Here, 'a' is the first term, 'n' is the term number, and 'd' is the common difference. We know that the 6th year production (a_6) is 16000 and the 9th year production (a_9) is 22600. We can subtract the 6th year production from the 9th year to find the total increase over 3 years, which is 6600. This means that the common difference ('d') is 6600/3 = 2200 sets per year. Substituting the values into the nth term formula: 16000 = a + (6-1)*2200 16000 = a + 11000 => a = 16000 - 11000 => a = 5000 So, the production during the first year was 5000 sets. Q2: Find the production during 8th year. Ans: We can use the nth term formula again to find the production in the 8th year. a_8 = a + (8-1)*d = 5000 + 7*2200 = 5000 + 15400 = 20400 So, the production during the 8th year was 20400 sets. Q3: Find the production during first 3 years. Ans: To find the total production over the first 3 years, we sum the production over each year. In an arithmetic progression, the sum of the first n terms (S_n) is given by n/2 * (2a + (n-1)d). S_3 = 3/2 * (2*5000 + (3-1)*2200) = 1.5 * (10000 + 4400) = 1.5 * 14400 = 21600 So, the total production during the first 3 years was 21600 sets. Q4: In which year, the production is Rs 29,200. Ans: To find the year when the production was 29200, we can use the nth term formula and solve for n. 29200 = 5000 + (n-1)2200 => 24200 = (n-1)2200 => n-1 = 24200/2200 => n-1 = 11 => n = 12 So, the production was 29200 sets in the 12th year. Q5: Find the difference of the production during 7th year and 4th year. Ans: We can find the production in the 7th and 4th years using the nth term formula, and then subtract the two. a_7 = 5000 + 6*2200 = 18200 a_4 = 5000 + 3*2200 = 11600 Difference = a_7 - a_4 = 18200 - 11600 = 6600 So, the difference in production between the 7th and 4th years was 6600 sets.

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Case Study on Arithmetic Progressions Class 10 Maths PDF

The passage-based questions are commonly known as case study questions. Students looking for Case Study on Arithmetic Progressions Class 10 Maths can use this page to download the PDF file.

The case study questions on Arithmetic Progressions are based on the CBSE Class 10 Maths Syllabus, and therefore, referring to the Arithmetic Progressions case study questions enable students to gain the appropriate knowledge and prepare better for the Class 10 Maths board examination. Continue reading to know how should students answer it and why it is essential to solve it, etc.

Case Study on Arithmetic Progressions Class 10 Maths with Solutions in PDF

Our experts have also kept in mind the challenges students may face while solving the case study on Arithmetic Progressions, therefore, they prepared a set of solutions along with the case study questions on Arithmetic Progressions.

The case study on Arithmetic Progressions Class 10 Maths with solutions in PDF helps students tackle questions that appear confusing or difficult to answer. The answers to the Arithmetic Progressions case study questions are very easy to grasp from the PDF - download links are given on this page.

Why Solve Arithmetic Progressions Case Study Questions on Class 10 Maths?

There are three major reasons why one should solve Arithmetic Progressions case study questions on Class 10 Maths - all those major reasons are discussed below:

To Prepare for the Board Examination: For many years CBSE board is asking case-based questions to the Class 10 Maths students, therefore, it is important to solve Arithmetic Progressions Case study questions as it will help better prepare for the Class 10 board exam preparation.
Develop Problem-Solving Skills: Class 10 Maths Arithmetic Progressions case study questions require students to analyze a given situation, identify the key issues, and apply relevant concepts to find out a solution. This can help CBSE Class 10 students develop their problem-solving skills, which are essential for success in any profession rather than Class 10 board exam preparation.
Understand Real-Life Applications: Several Arithmetic Progressions Class 10 Maths Case Study questions are linked with real-life applications, therefore, solving them enables students to gain the theoretical knowledge of Arithmetic Progressions as well as real-life implications of those learnings too.

How to Answer Case Study Questions on Arithmetic Progressions?

Students can choose their own way to answer Case Study on Arithmetic Progressions Class 10 Maths, however, we believe following these three steps would help a lot in answering Class 10 Maths Arithmetic Progressions Case Study questions.

Read Question Properly: Many make mistakes in the first step which is not reading the questions properly, therefore, it is important to read the question properly and answer questions accordingly.
Highlight Important Points Discussed in the Clause: While reading the paragraph, highlight the important points discussed as it will help you save your time and answer Arithmetic Progressions questions quickly.
Go Through Each Question One-By-One: Ideally, going through each question gradually is advised so, that a sync between each question and the answer can be maintained. When you are solving Arithmetic Progressions Class 10 Maths case study questions make sure you are approaching each question in a step-wise manner.

What to Know to Solve Case Study Questions on Class 10 Arithmetic Progressions?

A few essential things to know to solve Case Study Questions on Class 10 Arithmetic Progressions are -

Basic Formulas of Arithmetic Progressions: One of the most important things to know to solve Case Study Questions on Class 10 Arithmetic Progressions is to learn about the basic formulas or revise them before solving the case-based questions on Arithmetic Progressions.
To Think Analytically: Analytical thinkers have the ability to detect patterns and that is why it is an essential skill to learn to solve the CBSE Class 10 Maths Arithmetic Progressions case study questions.
Strong Command of Calculations: Another important thing to do is to build a strong command of calculations especially, mental Maths calculations.

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