Arithmetic Progressions Case Study Based Questions 03 Term II

Mathematics TERM II

Arithmetic Progressions

Class 10 Session 2021-2022

Case Study Questions 03

Pollution—A Major Problem: One of the major serious problems that the world is facing today is the environmental pollution. Common types of pollution include light, noise, water and air pollution.

In a school, students thoughts of planting trees in and around the school to reduce noise pollution and air pollution.
Condition I: It was decided that the number of trees that each section of each class will plant be the same as the class in which they are studying, e.g. a section of class I will plant 1 tree a section of class II will plant 2 trees and so on a section of class XII will plant 12 trees.
Condition II: It was decided that the number of trees that each section of each class will plant be the double of the class in which they are studying, e.g. a section of class I will plant 2 trees, a section of class II will plant 4 trees and so on a section of class XII will plant 24 trees.

Refer to Condition I
1. The AP formed by sequence i.e. number of plants by students is

(a) 0, 1, 2, 3, …, 12
(b) 1, 2, 3, 4, …, 12
(c) 0, 1, 2, 3, …, 15
(d) 1, 2, 3, 4, …, 15

(b) 1, 2, 3, 4, …, 12

2. If there are two sections of each class, how many trees will be planted by the students?

(a) 126
(b) 152
(c) 156
(d) 184

(c) 156

3. If there are three sections of each class, how many trees will be planted by the students?

(a) 234
(b) 260
(c) 310
(d) 326

(a) 234

Refer to Condition II
4. If there are two sections of each class, how many trees will be planted by the students?

(a) 422
(b) 312
(c) 360
(d) 540

(b) 312

5. If there are three sections of each class, how many trees will be planted by the students?

(a) 468
(b) 590
(c) 710
(d) 620

(a) 468

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