Arithmetic Progressions Case Study Based Questions 01 Term II

Mathematics TERM II

Arithmetic Progressions

Class 10 Session 2021-2022

Case Study Questions 01

Your friend Veer wants to participate in a 200 m race. Presently, he can run 200 m in 51 seconds and during each day 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, …

(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

(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

(b) 30

4. If `n^{th}` term of an AP is given by `a_{n}=2n+3` then common difference of an AP is

(a) 2
(b) 3
(c) 5
(d) 1

(a) 2

5. The value of `x`, for which `2x`, `x + 10`, `3x + 2` are three consecutive terms of an AP is

(a) 6
(b) – 6
(c) 18
(d) –18

(a) 6

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