Notes, summaries, assignments, exams, and problems for Primary education

Advantages of Company Incorporation

• Separate Legal Entity

• Limited Liability

• Perpetual Succession

• Transfer of Shares

• Right to Sue & Be Sued

• Ability to Own Property

• Professional Management

• Better Access to Funding

Public vs. Private Companies: Key Differences

Company Classification: By Liability, Members & More

• By Liability: Share, Guarantee, Unlimited

• By Members: One Person Company (OPC), Private, Public

• By Control: Holding, Subsidiary, Associate

• By Capital: Listed, Unlisted

• By Ownership: Government, Foreign, Section 8 (NGO)

Memorandum vs. Articles

Question 1: Decimal Representation of a Fraction

Question: Consider the fraction 6/7. The decimal representation of this fraction is:

Answer: 6 ÷ 7 = 0.857142857... (repeating)

Question 2: Vaccinated to Unvaccinated Ratio

Question: If 60% of a population is vaccinated, what is the ratio of vaccinated to unvaccinated individuals?

Answer: 60% vaccinated → 60 : 40 → Simplified = 3 : 2

Question 3: Property Tax Calculation

Question: A property has been assessed at $225,000. The mill rate is 14.5. To find the property tax, you would multiply the assessed value by:

Answer: The mill rate of 14.5 means $14.50 per $1,000 of assessed value. To convert this to a decimal factor, divide by 1,000:

• 14.5 ÷ 1,000 = 0.0145
• Property tax = $225,000 × 0.0145 = $3,262.

Key Literary Concepts: Short Notes

1. Duality of Human Nature in Dr. Jekyll and Mr. Hyde

Robert Louis Stevenson beautifully explores the idea that every human carries both good and evil within. Dr. Jekyll creates Mr. Hyde to experience freedom without guilt, separating his moral self from his darker desires. But once unleashed, Hyde grows stronger, overpowering Jekyll's control. The story reflects how suppressing our dark side only gives it more power, and that human nature is never purely one or the other—it's a constant inner conflict.

2. Symbolism of Venice in Death in Venice

Venice stands as a haunting symbol of beauty hiding decay. Its stunning scenery and rich culture reflect Aschenbach's admiration for youth and perfection. But underneath,... Continue reading "Classic Novels: Themes, Characters, and Symbolism" »

How is a pure semiconductor changed into an N-type material?

An N-type semiconductor is created when pure semiconductors, like Si and Ge, are doped with pentavalent elements. When a pentavalent atom replaces a Si atom, four of its electrons bond with four neighboring Si atoms, leaving one free electron.

What is the difference between P and N type materials?

N-type semiconductors have an excess of electrons, while P-type semiconductors have an excess of "holes" where an electron could exist.

What are the uses of diodes?

The most basic function of a diode is changing AC current to DC current by removing some part of the signal. This makes them rectifiers. They are also used in electrical switches and surge protectors because they can prevent voltage... Continue reading "Key Concepts in Electronics, Energy, and Basic Science" »

Irregular Verbs: Past Participle Forms

• be - been
• bear - born
• beat - beaten
• become - become
• begin - begun
• bite - bitten
• blow - blown
• break - broken
• bring - brought
• build - built
• burn - burnt
• burst - burst
• buy - bought
• can - been able to
• catch - caught
• choose - chosen
• come - come
• cost - cost
• cut - cut
• deal - dealt
• dig - dug
• do - done
• draw - drawn
• dream - dreamt
• drink - drunk
• drive - driven
• eat - eaten
• fall - fallen
• feed - fed
• feel - felt
• fight - fought
• find - found
• fly - flown
• forbid - forbidden
• forget - forgotten
• forgive - forgiven
• freeze - frozen
• get - got
• give - given
• go - gone
• grow - grown
• hang - hung
• have - had
• hear - heard
• hide - hidden
• hit - hit
• hold - held
• hurt - hurt
• keep - kept
• know - known
• lay - laid
• lead - led
• learn - learnt
• leave - left
• lend - lent
• let - let
• lie - lain
• light - lit
• lose -

Soil Pollution Effects

Health Risks from Soil Contamination

Direct contact with contaminated soil or groundwater from affected regions can have an adverse impact on humans, animals, fish, and other living organisms. Consumption of food grown on such soil poses the greatest threat to human life. Contact with soil polluted by heavy metals such as arsenic, lead, and chromium is largely responsible for increased cases of cancer, birth defects, and leukemia.

Ecosystem Degradation Due to Soil Pollution

Soil contamination is often the result of:

• Leaching from landfills
• Release of untreated industrial waste
• Acid rain due to excessive air pollution
• Nuclear fallout
• Fuel dumping
• Oil spills on land

Soil pollution leads to low crop productivity and stunted growth... Continue reading "Health and Environmental Impacts of Pollution" »

Anatomy, Pathology, and Lab Essentials

Bones: Rigid organs that make up the skeletal system of vertebrates, providing support and protection for the body’s organs.

Cranium: The part of the skull that protects the brain.

Backbone: Also known as the spine or vertebral column, a flexible and strong structure running along the center of the back, made up of small bones called vertebrae.

Skull: A bony framework enclosing the brain of a vertebrate.

Joints: The points where two or more bones, or a bone and cartilage, are attached in the body.

Ligaments: Short bands of tough, flexible fibrous connective tissues that connect two bones or cartilages, or hold joints together.

Cartilage: Firm, flexible connective tissue found in various forms, from which the... Continue reading "Anatomy, Pathology, and Lab Essentials: A Comprehensive Glossary" »

Architectural Walls: Function and Types

Walls create spaces, hold weight, and offer protection. They are categorized primarily by their structural role:

• Load-Bearing Walls: Support the building's weight.
• Non-Load-Bearing Walls: Simply divide rooms; these are also known as curtain or partition walls.

Masonry Walls

Masonry walls, typically made of bricks, are known for their strength, longevity, and fire resistance. However, they present several drawbacks:

• They are heavy and costly.
• They require significant time to construct.
• They need plaster and paint for finishing.
• They often require additional insulation for optimal sound and temperature control.

Roof Systems: Protection, Structure, and Materials

Roofs protect buildings from the weather and must be... Continue reading "Essential Building Components: Walls, Roofs, Floors, and Stairs" »

Ministerial Membership: Articles 75(5) & 164(4)

Introduction

The Indian Constitution lays down a comprehensive framework for governance, providing various provisions that regulate the appointment and functioning of ministers in the Union and State governments. Among these provisions, Article 75(5) and Article 164(4) address the requirement for ministers to be members of the respective legislative bodies, with a specific focus on the provision of a six-month period for non-members. These articles are crucial for maintaining the legitimacy and accountability of the executive by ensuring that ministers are either elected or appointed to the legislature within a prescribed timeframe.

Article 75(5): Union Government

Article 75(5) of the Indian Constitution... Continue reading "Indian Constitutional Law: Essential Doctrines & Powers" »

Common Grammatical Corrections

Here are some common grammatical corrections to improve your English:

• We must make the most of it.
• Honestly, it doesn't matter.
• Could you speak more slowly? / Were you able to understand?
• What's the answer? Subtract eight from eight.
• Three hundred students took part in the competition.
• The students will have finished by tomorrow.
• Three will have run out of time.
• My sister isn't very keen on horror movies.
• Peter asked if he had eaten the chocolate.
• Bob hadn't seen her since she had gone by.
• I needed a cup of coffee. / I could have done with a cup of coffee.
• I'm not going to tolerate this. / I'm not capable of putting up with this.
• We went for a walk in spite of the rain.
• I'm sure it will be fine. / It is bound to be fine.
• Could