## HIGHEST COMMON FACTOR (HCF)

Highest Common Factor

Every number has some factors but if two or more numbers taken together can have one or more common factors. Out of those common factors the greatest among them will be the highest common divisor or highest common factor of those numbers. Such as 12 and 18 have 1, 2, 3 and 6 as common factors but among them 6 is the highest common factor. So H.C.F. of 12 and 18 is 6.

## DIVISIBILITY RULES

A divisibility rule is a shorthand way of discovering whether a given number is divisible by a fixed divisor without performing the division, usually by examining its digits.

## CLASSIFICATION OF NUMBERS

Every number can be classified into one or more groups. In mathematics, we classify numbers as being rational or irrational, natural, whole, or integer.Today, we are going to learn about these groups and how can we tell where the number we are looking at falls?

## The Hobbit Wordlists – Chapter 19 – The Last Stage

2. Prophecies

Posted in Book Cultre, The Hobbit | 1 Comment

1. Peering

2. Notched

3. Amend

4. Muster

5. Grievously

6. Wrought

7. Repented

8. Overthrown

9. Bidding

1. Hailed

2. Embassy

5. Wither

6. League

7. Bewilderment

8. Hauberk

9. Astir

10. Flank

11. Tarry

12. Ere

13. Lure

1. Tattered

2. Oddments

3. Parley

4. Supper

5. Gazing

6. Bargaining

7. Weariness

1. Perched

2. Desolation

3. Tidings

4. Reckoning

5. Inheritance

6. Heir

7. Besieged

1. Forging

2. Marauding

3. Quench

4. Hindered

5. Smote

6. Spouting

7. Recompense

8. Perished

9. Plight

10. Array

## The Hobbit Wordlists – Chapter 13 – Not At Home

1. Magnified

2. Eager

3. Caressing

4. Furtive

5. Helms

6. Arch

7. Stewing depths

8. Lonesome

9. Desolation

10. Perpetually

## The Hobbit Wordlists – Chapter 12 – Inside Information

### 1. Esteemed

• (Noun)

Respect and admiration, typically for a person.

The king was held in extremely high regard by all his subjects.

(Verb)

• (To) Respect and admire someone or something.

Qualities such as honesty, integrity and courage are esteemed by teachers and students alike.

• To consider or deem something in a certain way

To waste food from your is esteemed as a compliment to the chef in many cultures.

### 2. Chorus

(Noun)

A large organised group of singers, especially one that performs together with an orchestra or an opera company.

It was a feeling of great pride when they asked her to join a chorus that had in it some of the greatest singers of all time.

• A part of a song that is sung or repeated after each verse.

The chorus was the most catchy part of the song and everyone knew the words and would sing along.

### 3.Thrumming

(Verb)

To make a continuous rhythmic humming sound.

The sound of the train thrummed on in the background and finally put them to sleep.

### 4. Toiled

(Verb)

To work extremely hard or incessantly.

The labourers toiled for day and night to complete the monument before the king arrived.

### 5. Eruptions

(Noun)

The act or instance of something erupting.

Even though it had been silent for more than 300 years people were always afraid of when the volcano would erupt

• A sudden outbreak of something

His controversial remarks on the people of the country resulted in riots erupting all over the city’s most crowded areas.

### 6. Stirred

(Verb)

• To move a spoon or another implement around in something, in order to mix it thoroughly.

We spent 2 hours stirring the massive quantity of cake batter in hopes that it would be ready for the bakery in time.

• To add an ingredient into something and mix it in.

When the rice comes to a boil stir in some salt and oil to help the cooking process.

• To move or begin to move slowly especially while waking up.

The children were making quite a racket in the room, but the babysitter did not even stir.

• Arouse feelings or emotions in someone.

Pictures of the destruction and violence only stirred more hatred in the hearts of the victim’s families.

### 7. Belched

(Verb)

To emit gas loudly from the stomach, through the mouth.

A sure sign of a good meal is a loud belch after you are done.

### 8. Fancies

(Verb)

• To feel a desire or liking for something.

Would you fancy some dinner with me sometime?

• To imagine or think

He fancied he could climb the mountain without an oxygen tank

### 9. Smouldering

(Verb)

To burn slowly with smoke but no flame

The smouldering coal by the tent kept us warm through the night.

• To show or feel barely suppressed anger, hatred or another powerful emotion.

She gave him a smouldering glare as he reached the party 45 minutes late.

### 10. Perplexed

(Verb)

Often of something complicated or unaccountable, that causes people to be or feel completely baffled.

He was extremely perplexed by his wife’s ability to lose her temper for almost no reason.

### 11. Lore

(Noun)

A body of traditions and knowledge on a subject or held by a particular group, typically passed down from person to person generally by word of mouth.

According to village lore the old banyan tree by the pond was haunted by an old lady and a young boy.

### 12. Hither

To or toward something or a place

He looked at the their menacingly extended his hand in welcome and said, “Come hither.”

### 13. Singed

(Verb)

To burn something superficially or lightly

The fire singed the hair off his arm.

### 14. Battering

(Verb)

To strike repeatedly and with harsh blows. Or even to pound heavily and insistently.

They would not take no for an answer and finally resorted to battering down the doors of the people they wanted to arrest.

### 15. Thrush

(Noun)

A small or medium sized song-bird, typically having a brown back, spotted breast and a loud song.

Posted in Book Cultre, The Hobbit | 1 Comment

## The Hobbit Wordlists – Chapter 10 – A Warm Welcome

### 1. Legend

(Noun)

• A traditional story sometimes popularly regarded as historical but unauthenticated.

Legend has it that King Arthur was the only one who could pull Excalibur out of the stone.

• An extremely famous or notorious person.

Ratan Tata is a living legend.

• An inscription especially on a coin or medal

The gold medal had the school’s motto as the legend on it.

• A caption on or under a picture.

The book had a picture of a singer with a legend that read “making musical magic”.

### 2. Tarnished

(Verb)

Lose or cause to lose luster.

The humidity tarnished the brass lamp tremendously.

• To make or become less valuable or respected.

The rumours severely tarnished the teacher’s image in the school.

### 3. Waterlogged

Saturated or full of water.

The flood left most houses waterlogged and the damage in most places was irreparable.

### 4. Squabbles

(Noun)

A noisy quarrel about something petty or trivial.

It was common to witness the family squabbles at the dinner table at least once a month.

(Verb)

To quarrel noisily over an extremely trivial matter

The siblings would squabble constantly.

### 5. Groping

(Verb)

To feel about or search blindly or uncertainly with the hands for something.

I woke up in the middle of the night and groped around for the light switch.

(Noun)

A companion who shares one’s activities or is a fellow member of an organisation.

They had been comrades since school and remained friends till the very end.

### 7. Vagabond

(Noun)

A person who wanders from place to place without a home or job.

He was very content living the life of a vagabond, moving from one city to the next on an almost daily basis.

Posted in Book Cultre, The Hobbit | 1 Comment

## The Hobbit Wordlists – Chapter 9 – Barrels Out Of Bound

### 1. Despairing

• (Noun)

The complete loss or absence of hope.

He was driven to absolute despair when he heard that his grandmother had passed away and that he was unable to meet her before she died.

• (Verb)

To lose or to be without hope.

And he said,”Do not despair for all is not lost.”As they walked down the side of the hill they could hear their voices echoing off the wall of the canyon.

### 2. Surly

Knowing that the humans had touched her cub the normally cheerful lioness became awfully surly.

### 3. Wretched

• Of a person who is in a very unhappy or unfortunate state.

I felt wretched when I realised that the poor man did not even have money for food.

• Something that is of poor quality or very bad.

The living conditions of some people in the slums is wretched.

• It can be used to express anger or frustration.

In frustration she exclaimed, “This wretched situation is going to be the death of me.”

### 4. Kinsfolk

(Noun)

Used in anthropology and formally to indicate a person’s blood relations. It is regarded collectively.

Being around my kinsfolk makes me feel comfortable and at home.

### 5. Tramping

(Verb)

To walk heavily or very noisily

He tramped around the house till late in the night completely disregarding his housemates requests to be silent.

### 6. Jutted

(Verb)

To extend out, over, or beyond the main body line of something.

A nail that jutted out of the side of the table and tore her jeans.

### 7. Bidding

• (Verb)

• To offer a certain price for something. Especially at an auction.

The value of a player is decided at the auction during bidding time.

• To make an effort to attempt or achieve.

It was very comical to see the two young men bidding for the same girl’s affection.

• To utter a greeting or farewell.

We all went to the airport to bid farewell to our neighbour who was leaving the country.

• To command or order someone to do something

He was forever indebted to the king and had to do his bidding no matter what the task was.

### 8. Nimble

Quick and light in movement or action. Very agile.

Cats are known to be nimble footed, which is why you can never hear their footsteps.

### 9. Jostling

(Verb)

To push, elbow or bump against someone roughly, typically in a crowd.

I was being jostled onto the local train when my pocket was picked.

### 10. Portcullis

(Noun)

A strong and heavy grating, sliding up and down in vertical grooves, lowered to book a gateway to a fortress or town.

They waited anxiously for the guards to raise the portcullis and welcome the noblemen into the fort.

Posted in Book Cultre, The Hobbit | 1 Comment

## The Hobbit Wordlists – Chapter 11 – On The Doorstep

### 1. Disembarked

(Verb)

To get off a plane or a train after a
Journey

As the traveler disembarked from the train we noticed that he had broken his arm

### 2. Dale

(Noun)

A valley especially a broad one

The house was across the hill right in the centre of the dale.

### 3. Hauling

(Verb)

To pull or drag something with a considerable amount of effort or force.

Even though he was tired he hauled his backpack around with him because he was scared it would get stolen.

### 4. Crannies

(Noun)

Small narrow space or opening.

We searched for the keys in every single book and cranny of the house but could not find it

### 5. Freckled

To be covered with freckles.

The children spent so much time playing outside that they were all covered with freckles.

### 6. Wagging

(Verb)

To move from side to side (an upward pointing finger) especially to signify a warning or a reprimand.

My mother would wag a finger at my little brother whenever he was about to do something that he was not supposed to do.

### 7. Vapour

(Noun)

A substance diffused or suspended in the air, especially one normally liquid or solid.

The vapours rose from the mouth of the volcano and covered the entire mountain top.

Posted in Book Cultre, The Hobbit | 1 Comment