(1) What will be the digits in the unit place of the squares of the following numbers?
(i) 272 (ii) 79 (iii) 400 (iv) 2637
(2) Why do the following numbers are not perfect square?
(i) 1057 (ii) 7928 (iii) 222 (iv) 640
(3) What are the squares of the following numbers?
(i) 19 (ii) 37 (iii) 53 (iv) 78
(4) Find the square roots of the following by prime factorisation method.
(i) 1764 (ii) 9216 (iii) 7744 (iv) 9801
(5) Find the least numbers (integer) with which the following numbers are to be multiplied so
that they become perfect squares.
(i) 1525 (ii) 1008 (iii) 2028 (iv) 768
(6) With what least numbers (integer) the following numbers are to be divided so that they become
perfect squares.
(i) 468 (ii) 1584 (iii) 2645 (iv) 1620
(7) In a military camp the major has to arrange 1764 soldiers in a square shape such that the
number of soldiers along the length and breadth are equal. How many soldiers are there in each
row?
(8) Find the smallest perfect square number which is divisible by 4, 9 and
10.
(9) Find the square root by division process :
(i) 2116 (ii) 4761 (iii) 576 (iv) 6084
(10) Find the square root of the following decimal numbers :
(i) 12.25 (ii) 24.01 (iii) 146.41 (iv) 102.01
11. Four options are given for each of the following. Find the correct option.
(a) Which of the following is a square of an odd natural number?
(i) 256 (ii) 169 (iii) 546 (iv) 754
(b) Which of the following will have 1 (one) in the unit place?
(i) 192 (ii) 342 (iii) 182 (iv) 202
(c) Between 182 and 192 how many natural numbers are there?
(i) 38 (ii) 36 (iii) 42 (iv) 40
(d) Which of the following is not a perfect square?
(i) 441 (ii) 572 (iii) 576 (iv) 729
(e) If √ 2025 = 45 then √ 20.25 is equal to
(i) 45 (ii) 4.5 (iii) 0.45 (iv) 0.045
"Business Environment and its Social Responsibilities"
1. Definition of Business Environment
The business environment refers to the external factors and forces that affect the operation
and performance of a business. It includes both specific factors directly influencing the
business as well as broader societal and economic contexts.
2. Nature of Business Environment
The business environment is dynamic and constantly evolving. It is influenced by factors
such as economic conditions, technological advancements, political and legal regulations,
socio-cultural trends, and environmental considerations. These elements interact in complex
ways to create opportunities and challenges for businesses.
3. Significance of Business Environment
Understanding the business environment is crucial for strategic planning and decision-making
within organizations. It helps businesses anticipate changes, identify opportunities for
growth, mitigate risks, and adapt their strategies accordingly. By staying attuned to the
environment, businesses can enhance their competitiveness and sustainability.
4. Components of Business Environment
The components of the business environment can be categorized into:
Economic Environment: Factors like economic growth, inflation rates, exchange
rates, and fiscal policies.
Social Environment: Cultural norms, demographics, lifestyle trends, and social
values.
Technological Environment: Innovations, research and development, automation,
and digital advancements.
Political and Legal Environment: Government policies, regulations, taxation
policies, and political stability.
Environmental Factors: Sustainability concerns, climate change policies, and
ecological impacts.
5. Meaning of Social Responsibility
Social responsibility in business refers to the ethical obligations of companies towards society
and the environment. It involves conducting business ethically, contributing positively to the
community, and minimizing negative impacts on the environment.
6. Significance of Social Responsibility in Business
Social responsibility is increasingly recognized as essential for long-term business success. It
helps build trust and goodwill among stakeholders, enhances brand reputation, attracts and
retains talent, reduces operational risks, and fosters sustainable development. Embracing
social responsibility can also lead to innovation and competitive advantage in the
marketplace.
7. Conclusion
In conclusion, the business environment is multifaceted and dynamic, encompassing various
external factors that influence business operations. Understanding and responding to these
factors are crucial for organizational success. Additionally, integrating social responsibility
into business practices not only benefits society and the environment but also enhances
organizational resilience and competitiveness in a rapidly changing world.
By addressing the topics outlined above, this project provides insights into the
interconnectedness of the business environment and social responsibilities, highlighting their
importance for contemporary businesses striving for sustainable growth and positive societal
impact.
