Number Divisibility Rules

Divisibility Rules of whether a number is divisible by 2, 3, 4, 5, 6, 8, 9 and 10

2Last digit in the number is even.14, 102, 118, 560
all end in even numbers, so all are divisible by 2.
3Sum of the digits of the number is divisible by 3.
The sum of the digits of 396 is 3+9+6 = 18 which is
divisible by 3, so 396 is divisible by 3.
4Number formed by the last 2 digits is divisible by 4.Last 2 digits of 1424 is 24, which is divisible by
4, so 1424 is divisible by 4.
5Last digit is 0 or 535, 90, 475
6Number is even and divisible by 3.144 is even and is divisible by 3 (sum of digits 1+4+4 = 9, divisible by 3), so 144 is divisible by 6.
8Last 3 digits divisible by 8 or Last 3 digit is 000Last 3 digits of 83400 is 400 which is divisible by 8. Last 3 digits of 1000 is 000 hence it is divisible by 8
9Sum of the digits of the number is divisible by 9.Sum of the digits of 1485 is 1+4+8+5 = 18
which is divisible by 9, so 1485 is divisible by 9
10Last digit is 090, 120, 680
Number Divisibility Rules

Problems on Divisibility

1. Determine the following numbers which are divisible by 2, using the test of divisibility by 2:

(i) 176, (ii) 221, (iii) 327, (iv) 90, (v) 192

2. Let us consider the following numbers to find whether the numbers are divisible or not divisible by 3:

(i) 176, (ii) 221, (iii) 327, (iv) 90, (v) 192

 3. Is 7248 is divisible (i) by 4, (ii) by 2 and (iii) by 8?

4. Without actual division, find if 235932 is divisible (i) by 4 and (ii) 8.

5. Determine which of the following numbers which are divisible by 6, using the test of divisibility by 6: 42, 144, 180, 258, 156

6. Determine which of the following numbers which are divisible by 9, using the test of divisibility by 9: 

99, 198, 171, 9990, 3411.

Weekly Current Affairs Quiz: 31 May to 1 June May 2021 for Competitive Exams

Weekly Current Affairs Quiz: 31 May to 1 June 2021 for Competitive Exams

Current Affairs

1. New CBI Director

Senior IPS officer Subodh Kumar Jaiswal was on May 25, 2021 appointed as the new CBI director for two years, as per the personnel ministry order. A three-member selection committee led by PM Narendra Modi on May 24, 2021, had shortlisted Jaiswal’s name for the position of director, Central Bureau of Investigation.


Current Affairs Quiz

1. “Action and Investment in Menstrual Hygiene and Health” is the theme of which special day celebrated on May 28?

[A] World Menstrual Hygiene Day
[B] World Women Health Day
[C] World Personal Health Day
[D] World Hygiene Day


Place Value – Greatest & Smallest Numbers – Grade/Class 4

  1. The greatest 4 digit number without repeating the digits is __________________________________
  2. The greatest 4 digit number with repeating the digits is ___________________________
  3. The smallest 4 digit number without repeating the digits is _____________________________
  4. The smallest 4 digit number with repeating the digits is ________________________
  5. The smallest 6 digit number made from digits 7,1,9,0 is ______________________________
  6. The greatest 6 digit number made by 7,1,9,0 is ______________________________
  7. 1 less than the smallest 5 digit number is ____________________________
  8. 1 more than the greatest 5 digit number is ____________________________
  9. 1 less than greatest 6 digit number without repeating the digits is __________________________________
  10. 1 more than smallest 6 digit number without repeating the digits is __________________________________
  11. Write the greatest and the smallest numbers using the digits 1, 0, 3, 5, 9
5 digit number________________________________________________
6 digit number________________________________________________
7 digit number________________________________________________

Please provide your answers in comment box. For any queries on the questions or right answers, reach out to us on contact us over email – contactus@abhyas.co.in


Olympiad Preparation – Class 3 – Weekly Questions – 3 Oct Week

Addition , Subtraction and Expanded Form Questions for Class 3 Olympiad Aspirants

Parents/Kids, We plan to publish 9 Olympiad Questions each week to prepare your lids for Olympiad.

Please ask your kids to attempt and answer below questions. Kids can add their answer and queries in comments section of this page

Happy Olympiad Preparation to all kids and parents

  1. Solve: 845 + 75 + 70 – 55 – 35.
  2. 7 thousands + 8 tens – 4 ones is equal to _____________
  3. 800000 + 40000 + 8000 + 300 + 60 + 5 is _____________
  4. What is the difference between the face and place value of 5 in the number, 85631?
  5. Solve : 2735 + 5237 – 3756
  6. Replace the question mark with a number given in the options below. ​66 + 37 – 23 = 89 + 5 – ?
  7. The sum of place value and face value of digit 6 in the number 4796232 is
  8. Which one of the following is the short form for. ​50000 + 4000 + 300 + 20 + 1
  9. What number replaces question mark to make the number sentence true ? 4567 – ? = 3451

Punctuation and Capital Letters

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There are 14 punctuation marks that are commonly used in English grammar. They are the period, question mark, exclamation point, comma, semicolon, colon, dash, hyphen, parentheses, brackets, braces, apostrophe, quotation marks, and ellipsis.

We will today learn about commonly used punctuations :  period, question mark, exclamation point, comma, semicolon, colon, apostrophe and quotation marks

Sentence Endings

Three of the fourteen punctuation marks are appropriate for use as sentence endings. They are the period, question mark, and exclamation point.

  1. Period or full stop (.) is placed at the end of declarative sentences, statements thought to be complete and after many abbreviations.
  • As a sentence ender: Naman and Vihan went to the market.
  • After an abbreviation: Her son, Chauhan Jr., was born on Jun. 8, 2008.

2. Question mark (?) is used to indicate a direct question when placed at the end of a sentence.

  • When did Naman go to school?

3. Exclamation point (!) is used when a person wants to express a sudden outcry or add emphasis.

  • Within dialogue: “Holy cow!” screamed Jane.
  • To emphasize a point: My mother-in-law’s rants make me furious!

Comma, Semicolon, and Colon

The comma, semicolon, and colon are often misused because they all can indicate a pause in a series.

4.  Comma is used to show a separation of ideas or elements within the structure of a sentence. Additionally, it is used in numbers, dates, and letter writing after the salutation and closing.

  • Direct address: Thanks for all your help, Siri.
  • Separation of two complete sentences: We went to the movies, and then we went out to lunch.
  • Separating lists or elements within sentences: Naman wanted the black, green, and blue pants.

5.  Semicolon (;) is used to connect independent clauses. It shows a closer relationship between the clauses than a period would show.

  • John was hurt; he knew she only said it to upset him.

6. Colon (:) has three main uses. The first is after a word introducing a quotation, an explanation, an example, or a series.

  • He was planning to study four subjects: politics, philosophy, sociology, and economics.

Apostrophe and Quotation Marks

7.  Apostrophe (‘) is used to indicate the omission of a letter or letters from a word, the possessive case, or the plurals of lowercase letters. Examples of the apostrophe in use include:

  • Omission of letters from a word: I’ve seen that movie several times. She wasn’t the only one who knew the answer.
  • Possessive case: Sara’s dog bit the neighbor.
  • Plural for lowercase letters: Six people were told to mind their p’s and q’s.

8. Quotations marks (” “) are a pair of punctuation marks used primarily to mark the beginning and end of a passage attributed to another and repeated word for word. They are also used to indicate meanings and to indicate the unusual or dubious status of a word.

  • “Don’t go outside,” she said.

Single quotation marks (‘ ‘) are used most frequently for quotes within quotes.

  • Marie told the teacher, “I saw Marc at the playground, and he said to me ‘Bill started the fight,’ and I believed him.”page26image3539257184page26image3539392208page26image3539257952page26image3539258288page26image3539402432

Capital Letters:

A capital letters is used:

  • To begin a sentence.
  • To begin a proper noun

We always begin a sentence with a capital letter.

̄All proper nouns begin with capital letters too.
̄The letter ‘I’ when written by itself is always a capital letter.

You and are very good friends.


Difference between Procedural and Object Oriented Programming

Procedural Oriented ProgrammingObject Oriented Programming
In procedural programming, program is divided into small parts called functions.
Example code :
#include <stdio.h>
/*this function computes the absolute value of a whole number.*/
int abs(int x)
if (x>=0) return x;
else return -x;
/*this program calls the abs() function defined above twice.*/
int main()
int x,
printf(” x=”);
scanf(“%d”, &x);
printf(“Absolute Value of x is %d. \n”, abs(x));
return 0;
In object oriented programming, program is divided into small parts called objects.
Example code :

class Parrot:
# class attribute
species = "bird"
# instance attribute
def __init__(self, name, age):
self.name = name
self.age = age
instantiate the Parrot class
blu = Parrot(“Blu”, 10)
woo = Parrot(“Woo”, 15)
access the class attributes
print(“Blu is a {}”.format(blu.class.species))
print(“Woo is also a {}”.format(woo.class.species))
access the instance attributes
print(“{} is {} years old”.format( blu.name, blu.age))
print(“{} is {} years old”.format( woo.name, woo.age))
Procedural programming follows top down approach.
Note: A top-down approach is essentially the breaking down of a program to gain insight into its compositional small program (or module) in a reverse engineering fashion.
Object oriented programming follows bottom up approach.
Note : A bottom-up approach is the piecing together of module (or small program) to give rise to more complex program, thus making the original modules of the emergent program.
There is no access specifier in procedural programming.Object oriented programming have access specifiers like private, public, protected etc.
Adding new data and function is not easy.Adding new data and function is easy.
Procedural programming does not have any proper way for hiding data so it is less secure.Object oriented programming provides data hiding so it is more secure.
In procedural programming, overloading is not possible.Overloading is possible in object oriented programming.
Overloading methods lets you define the same method multiple times so that you can call them with different argument lists (a method’s argument list is called its signature)
In procedural programming, function is more important than data.In object oriented programming, data is more important than function.
Procedural programming is based on unreal world.Object oriented programming is based on real world.
Data can move freely from procedure to procedure in the systemObjects can move and communicate with each other through member functions
Examples: C, FORTRAN, Pascal, Basic etc.Examples: C++, Java, Python, C# etc.
Difference between Procedural and Object Oriented Programming



What is a pronoun?

pronoun is a word used instead of a noun or noun phrase. Pronouns refer to either a noun that has already been mentioned or to a noun that does not need to be named .

The most common pronouns are the personal pronouns, which refer to the person or people speaking or writing (first person), the person or people being spoken to (second person), or other people or things (third person).

There are a number of other types of pronouns. The interrogative pronouns—particularly whatwhichwhowhom, and whose—introduce questions for which a noun is the answer, as in “Which do you prefer?”

Possessive pronouns refer to things or people that belong to someone. The main possessive pronouns are mineyourshishersitsours, and theirs.

The four demonstrative pronounsthisthatthese, and those—distinguish the person or thing being referred to from other people or things; they are identical to the demonstrative adjectives.

Relative pronouns introduce a subordinate clause, a part of a sentence that includes a subject and verb but does not form a sentence by itself. The main relative pronouns are thatwhichwhowhomwhat, and whose.

Reflexive pronouns refer back to the subject of a sentence or clause and are formed by adding -self or -selves to a personal pronoun or possessive adjective, as in myselfherselfourselves, and itself.

Indefinite pronouns, such as everybodyeithernone, and something, do not refer to a specific person or thing, and typically refer to an unidentified or unfamiliar person or thing.

The words it and there can also be used like pronouns when the rules of grammar require a subject but no noun is actually being referred to. Both are usually used at the beginning of a sentence or clause, as in “It was almost noon” and “There is some cake left.” These are sometimes referred to as expletives.


Ram is a post man. Ram carries letters.
To make the second sentence sound better we can change the word Ram to he.
Now: Ram is a postman. He carries letters.
The word he is a pronoun and that takes the place of Ram

Adjective : Describing Words

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What is an Adjective?
Adjective describes a noun hence they are called describing words.They tell us many things about a noun (shape, size, colour, age, number, taste). They tells us how it looks (shape, size and colour ), smells, sounds, feels or tastes. They also tell how many ( number and age )

tasty pizza

blue triangle

The words tasty and blue are describing words and tells us more about the noun.

They can be placed before nouns or after nouns to describe them.

  • It is a cute puppy.
  • The box is heavy.