10th Class Math Arithmetic Progression Case Study

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Practice Challenge - Case Study


Subject: Mathematics

Topic : A.P Class: X




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.

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

    1. 51,53,55….

    2. 51, 49, 47….

    3. -51, -53, -55….

    4. 51, 55, 59…

  2. What is the minimum number of days he needs to practice till his goal is achieved

    1. 10

    2. 12

    3. 11

    4. 9

  3. Which of the following term is not in the AP of the above given situation

    1. 41

    2. 30

    3. 37

    4. 39

  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

5.

The value of x, for which 2x, x+ 10, 3x + 2 are three consecutive terms of an


a)

AP

6

b)

-6

c)

18

d)

-18



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