Case study questions on CBSE Class 10 Maths Chapter 5 - Arithmetic Progression are provided here. These questions are published by CBSE to help students prepare for their Maths exam.
CBSE Class 10 Case Study Questions for Maths Chapter 5 - Arithmetic Progression are available here with answers. All the questions have been published by the CBSE board. Students must practice all these questions to prepare themselves for attempting the case study based questions with absolute correctness and obtain a high score in their Maths Exam 2021-22. Case Study Questions for Class 10 Maths Chapter 5 - Arithmetic Progression CASE STUDY 1: 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. Based on the above information, answer the following questions: 1. Find the production during first year. 2. Find the production during 8th year. 3. Find the production during first 3 years. 4. In which year, the production is Rs 29,200. 5. Find the difference of the production during 7th year and 4th year. Answer: 1. Rs 5000 2. Production during 8th year is (a+7d) = 5000 + 2(2200) = 20400 3. Production during first 3 year = 5000 + 7200 + 9400 = 21600 4. N = 12 5. Difference = 18200 - 11600 = 6600 CASE STUDY 2: Your friend Veer wants to participate in a 200m race. He can currently run that distance in 51 seconds and with each day of practice it takes him 2 seconds less. He wants to do in 31 seconds. 1. Which of the following terms are in AP for the given situation a) 51,53,55…. b) 51, 49, 47…. c) -51, -53, -55…. d) 51, 55, 59… Answer: b) 51, 49, 47…. 2. What is the minimum number of days he needs to practice till his goal is achieved a) 10 b) 12 c) 11 d) 9 Answer: c) 11 3. Which of the following term is not in the AP of the above given situation a) 41 b) 30 c) 37 d) 39 Answer: b) 30 4. If nth term of an AP is given by an = 2n + 3 then common difference of an AP is a) 2 b) 3 c) 5 d) 1 Answer: a) 2 5. The value of x, for which 2x, x+ 10, 3x + 2 are three consecutive terms of an AP a) 6 b) -6 c) 18 d) -18 Answer: a) 6 CASE STUDY 3: 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: 1. The amount paid by him in 30th installment is a) 3900 b) 3500 c) 3700 d) 3600 Answer: a) 3900 2. The amount paid by him in the 30 installments is a) 37000 b) 73500 c) 75300 d) 75000 Answer: b) 73500 3. What amount does he still have to pay offer 30th installment? a) 45500 b) 49000 c) 44500 d) 54000 Answer: c) 44500 4. If total installments are 40 then amount paid in the last installment? a) 4900 b) 3900 c) 5900 d) 9400 Answer: a) 4900 5. The ratio of the 1st installment to the last installment is a) 1:49 b) 10:49 c) 10:39 d) 39:10 Answer: b) 10:49 Also Check: CBSE Case Study Questions for Class 10 Maths - All Chapters Tips to Solve Case Study Based Questions Accurately CBSE Class 10 Maths Best & Complete Study Material for 2021-2022 Page 2
CBSE Class 10 Maths Case Study Questions for Chapter 4 - Quadratic Equations are released by the board. Solve all these questions to perform well in your CBSE Class 10 Maths Exam 2021-22.
Check here the case study questions for CBSE Class 10 Maths Chapter 4 - Quadratic Equations. The board has published these questions to help class 10 students to understand the new format of questions. All the questions are provided with answers. Students must practice all the case study questions to prepare well for their Maths exam 2021-2022. Case Study Questions for Class 10 Maths Chapter 4 - Quadratic Equations CASE STUDY 1: Raj and Ajay are very close friends. Both the families decide to go to Ranikhet by their own cars. Raj’s car travels at a speed of x km/h while Ajay’s car travels 5 km/h faster than Raj’s car. Raj took 4 hours more than Ajay to complete the journey of 400 km. 1. What will be the distance covered by Ajay’s car in two hours? a) 2(x + 5)km b) (x – 5)km c) 2(x + 10)km d) (2x + 5)km Answer: a) 2(x + 5)km 2. Which of the following quadratic equation describe the speed of Raj’s car? a) x2 – 5x – 500 = 0 b) x2 + 4x – 400 = 0 c) x2 + 5x – 500 = 0 d) x2 – 4x + 400 = 0 Answer: c) x2 + 5x – 500 = 0 3. What is the speed of Raj’s car? a) 20 km/hour b) 15 km/hour c) 25 km/hour d) 10 km/hour Answer: a) 20 km/hour 4. How much time took Ajay to travel 400 km? a) 20 hour b) 40 hour c) 25 hour d) 16 hour Answer: d) 16 hour CASE STUDY 2: The speed of a motor boat is 20 km/hr. For covering the distance of 15 km the boat took 1 hour more for upstream than downstream. 1. Let speed of the stream be x km/hr. then speed of the motorboat in upstream will be a) 20 km/hr b) (20 + x) km/hr c) (20 – x) km/hr d) 2 km/hr Answer: c) (20 – x)km/hr 2. What is the relation between speed ,distance and time? a) speed = (distance )/time b) distance = (speed )/time c) time = speed x distance d) speed = distance x time Answer: b) distance = (speed )/time 3. Which is the correct quadratic equation for the speed of the current? a) x2 + 30x − 200 = 0 b) x2 + 20x − 400 = 0 c) x2 + 30x − 400 = 0 d) x2 − 20x − 400 = 0 Answer: c) x2 + 30x − 400 = 0 4. What is the speed of current ? a) 20 km/hour b) 10 km/hour c) 15 km/hour d) 25 km/hour Answer: b) 10 km/hour 5. How much time boat took in downstream? a) 90 minute b) 15 minute c) 30 minute d) 45 minute Answer: d) 45 minute Also Check: CBSE Case Study Questions for Class 10 Maths - All Chapters Tips to Solve Case Study Based Questions Accurately CBSE Class 10 Maths Best & Complete Study Material for 2021-2022 Page 3
CBSE's question bank on case study for Class 10 Maths Chapter 3 is available here. These questions will be very helpful to prepare for the CBSE Class 10 Maths Exam 2022.
Case study questions are going to be new for CBSE Class 10 students. These are the competency-based questions that are completely new to class 10 students. To help students understand the format of the questions, CBSE has released a question bank on case study for class 10 Maths. Students must practice with these questions to get familiarised with the concepts and logic used in the case study and understand how to answers them correctly. You may check below the case study questions for CBSE Class 10 Maths Chapter 3 - Pair of Linear Equations in Two Variables. You can also check the right answer at the end of each question. Check Case Study Questions for Class 10 Maths Chapter 3 - Pair of Linear Equations in Two Variables CASE STUDY-1: A test consists of ‘True’ or ‘False’ questions. One mark is awarded for every correct answer while ¼ mark is deducted for every wrong answer. A student knew answers to some of the questions. Rest of the questions he attempted by guessing. He answered 120 questions and got 90 marks.
1. If answer to all questions he attempted by guessing were wrong, then how many questions did he answer correctly? 2. How many questions did he guess? 3. If answer to all questions he attempted by guessing were wrong and answered 80 correctly, then how many marks he got? 4. If answer to all questions he attempted by guessing were wrong, then how many questions answered correctly to score 95 marks? Answers: Let the no of questions whose answer is known to the student x and questions attempted by cheating be y x + y =120 x – 1/4y =90 solving these two x = 96 and y = 24 1. He answered 96 questions correctly. 2. He attempted 24 questions by guessing. 3. Marks = 80- ¼ 0f 40 =70 4. x – 1/4 of (120 – x) = 95 5x = 500, x = 100 CASE STUDY-2: Amit is planning to buy a house and the layout is given below. The design and the measurement has been made such that areas of two bedrooms and kitchen together is 95 sq.m. Based on the above information, answer the following questions: 1. Form the pair of linear equations in two variables from this situation. 2. Find the length of the outer boundary of the layout. 3. Find the area of each bedroom and kitchen in the layout. 4. Find the area of living room in the layout. 5. Find the cost of laying tiles in kitchen at the rate of Rs. 50 per sq.m. ANSWER: 1. Area of two bedrooms= 10x sq.m Area of kitchen = 5y sq.m 10x + 5y = 95 2x + y =19 Also, x + 2+ y = 15 x + y = 13 2. Length of outer boundary = 12 + 15 + 12 + 15 = 54m 3. On solving two equation part(i) x = 6m and y = 7m area of bedroom = 5 x 6 = 30m area of kitchen = 5 x 7 = 35m 4. Area of living room = (15 x 7) – 30 = 105 – 30 = 75 sq.m 5. Total cost of laying tiles in the kitchen = Rs50 x 35 = Rs1750 Case study-3: It is common that Governments revise travel fares from time to time based on various factors such as inflation ( a general increase in prices and fall in the purchasing value of money) on different types of vehicles like auto, Rickshaws, taxis, Radio cab etc. The auto charges in a city comprise of a fixed charge together with the charge for the distance covered. Study the following situations:
Situation 1: In city A, for a journey of 10 km, the charge paid is Rs 75 and for a journey of 15 km, the charge paid is Rs 110. Situation 2: In a city B, for a journey of 8km, the charge paid is Rs91 and for a journey of 14km, the charge paid is Rs 145. Refer situation 1 1. If the fixed charges of auto rickshaw be Rs x and the running charges be Rs y km/hr, the pair of linear equations representing the situation is a) x + 10y =110, x + 15y = 75 b) x + 10y = 75, x + 15y = 110 c) 10x + y = 110, 15x + y = 75 d) 10x + y = 75, 15x + y = 110 Answer: b) x + 10y = 75, x + 15y = 110 2. A person travels a distance of 50km. The amount he has to pay is a) Rs.155 b) Rs.255 c) Rs.355 d) Rs.455 Answer: c) Rs.355 Refer situation 2 3. What will a person have to pay for travelling a distance of 30km? a) Rs.185 b) Rs.289 c) Rs.275 d) Rs.305 Answer: b) Rs.289 4. The graph of lines representing the conditions are: (situation 2) Answer: (iii) Also Check: CBSE Case Study Questions for Class 10 Maths - All Chapters Tips to Solve Case Study Based Questions Accurately CBSE Class 10 Maths Best & Complete Study Material for 2021-2022 |
Based on the above information answer the following questions i find the value of pa
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