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Basic Arithmetic

Test your problem solving skills in basic arithemetic aptitude questions. Understand concepts and logic for each questions to answer correctly. practice more and more questions to give answers rapidly. Sharp your brain before you start solving problems.


Basic Operations

S.No

Operation

Description

Example

1

Addition

Combination of two or more numbers

7 + 5 = 12

2

Subraction

Finding the difference between two numbers

15 - 7 = 8

3

Multiplication

Repeated addition of the same number

4 × 3 = 12

4

Division

Splitting a number into equal parts

20 ÷ 4 = 5

Order of Operations

S.No

PEMDAS

BODMAS

1

P: Parentheses

B: Brackets

2

E: Exponents

O: Orders

3

M: Multiplication

D: Division

4

D: Division

M: Multiplication

5

A: Addition

S: Subtraction

6

A: Addition

S: Subtraction

Example: To solve this calculation 2 + 3 × (5 - 2)2

  1. Solve the parentheses: 2 + 3 × (5 - 2)2 = 2 + 3 × 32
  2. Then the exponent: 2 + 3 × 32 = 2 + 3 × 9
  3. Followed by multiplication: 2 + 3 × 9 = 2 + 27
  4. And finally addition: 2 + 27 = 29

Factors and Multiples

S.No

Operation

Description

Example

1

Factors

Numbers that divide exactly into another number

Factors of 12 are 1, 2, 3, 4, 6, and 12

2

Multiples

Numbers that can be obtained by multiplying a number by an integer

Multiples of 3 are 3, 6, 9, 12, etc

Prime and Composite Numbers

S.No

Operation

Description

Example

1

Prime Numbers

Numbers greater than 1 with only two factors: 1 and itself

2, 3, 5, 7, 11

2

Composite Numbers

Numbers greater than 1 with more than two factors

4, 6, 8, 9, 10

Divisibility Rules

S.No

Operation

Description

Example

1

Divisibility by 2

The number is divisible by 2

2, 4, 6, 8 ...

2

Divisibility by 3

The sum of the digits is divisible by 3

3, 6, 9, 12, 15 ...

3

Divisibility by 5

The number ends in 0 or 5

5, 10, 15, 20, 25 ...

4

Divisibility by 10

The number ends in 0

10, 20, 30, 40, 50 ...

GCD and LCM

S.No

Operation

Description

Example

1

Greatest Common Divisor (GCD)

The largest number that divides two or more numbers without leaving a remainder

GCD of 18 and 24 is 6

2

Least Common Multiple (LCM)

The smallest number that is a multiple of two or more numbers

LCM of 4 and 5 is 20

Basic Arithmetic Concepts

S.No

Operation

Description

Example

1

Square of a number

The largest number that divides two or more numbers without leaving a remainder

52 = 25

2

Square Root

A number that, when multiplied by itself, gives the original number

√25 = 5

3

Exponent

It indicates how many times a number (base) is multiplied by itself

23 = 2 × 2 × 2 = 8

4

Fractions

A part of a whole, expressed as numerator/denominator

1/4, 3/8

4

Decimals

Another way to represent fractions, based on powers of 10.

0.25, 1.75

5

Percentages

A fraction of 100, used to express ratios

25% = 25/100 = 0.25

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