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.
Answers –
(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 n2 + 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
(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
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.
Ans: N=12
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
We hope that above case study questions will help you for your upcoming exams. To see more click below –