Number System And Arithmetic | Complete Notes, Examples & 25 MCQs for Competitive Exams

By: Sanjit Sir
November 17, 2025
5:57 pm

✅ NUMBER SYSTEM & ARITHMETIC – BRIEF DESCRIPTION

1. Types of Numbers

Natural Numbers are the basic counting numbers used for counting objects and ordering things.
They start from 1 and go on infinitely (1, 2, 3, 4, 5, … ∞).
Natural numbers do not include zero, fractions, decimals, or negative numbers.

EXAMPLES

1, 2, 3, 4, 5, 6, …
Counting Example: If you count books: 1 book, 2 books, 3 books… — these are natural numbers.

Whole Numbers are the numbers that start from 0 and include all natural (counting) numbers.
They do not include fractions, decimals, or negative numbers.
Whole numbers extend infinitely in the positive direction.

EXAMPLES

0, 1, 2, 3, 4, 5, 6, …
Example in daily life: Number of pages read today can be 0, 1, 2, 3…, which are whole numbers.

Integers are numbers that include all positive numbers, all negative numbers, and zero.
They do not include fractions or decimals.
Integers extend infinitely in both the positive and negative directions.

EXAMPLES

…, –5, –4, –3, –2, –1, 0, 1, 2, 3, 4, 5, …
Real-life example: Temperature can be –3°C, 0°C, 5°C, etc.—all of which are integers.

Rational Numbers are numbers that can be written in the form p/q, where p and q are integers and q ≠ 0.
They include fractions, integers, terminating decimals, and repeating decimals.

EXAMPLES

3/4, –5/2, 0.75, 2, –1.333… (–4/3)
Real-life example: If you divide a pizza into 4 equal parts, each person gets 1/4, which is a rational number.

Irrational Numbers are numbers that cannot be written in the form p/q, where p and q are integers.
Their decimal expansion is non-terminating and non-repeating.
These numbers cannot be expressed as simple fractions.

EXAMPLES

√2, √3, π, e, 0.1010010001…
Real-life example: The value of π (3.141592…) used to measure circles is an irrational number because its decimal never ends or repeats.

Real Numbers include all rational and irrational numbers.
They cover every number that can be represented on the number line, including
fractions, integers, decimals, terminating decimals, repeating decimals, and non-terminating non-repeating decimals.

EXAMPLES

Rational: 5, –3, 1/2, 0.75
Irrational: √2, π, √5
Real-life example: The length of a table can be 1.5 m, 2 m, or even √2 m — all of these are real numbers.

Prime Numbers are numbers greater than 1 that have exactly two factors: 1 and the number itself.
This means a prime number cannot be divided evenly by any other number.

EXAMPLES

2, 3, 5, 7, 11, 13, 17, …
Real-life example: If a number like 13 can only be divided by 1 and 13, it is a prime number.

Composite Numbers are numbers greater than 1 that have more than two factors.
This means they can be divided evenly by 1, the number itself, and at least one more number.

EXAMPLES

4 → factors: 1, 2, 4
6 → factors: 1, 2, 3, 6
8, 9, 10, 12, 14, …
Real-life example: The number 12 is composite because it can be divided by 1, 2, 3, 4, 6, and 12.

Co-prime Numbers (also called relatively prime numbers) are two numbers that have no common factor other than 1.
Their HCF (Highest Common Factor) is 1, even if the numbers themselves are not prime.

EXAMPLES

8 and 15 → factors of 8: 1,2,4,8; factors of 15: 1,3,5,15 → common factor = 1
9 and 20 → common factor = 1
Real-life example: If two people pick numbers 7 and 10 for a game, those numbers are co-prime because they share only 1 as a common factor.

Even Numbers are numbers that are exactly divisible by 2.
They always end in 0, 2, 4, 6, or 8.

EXAMPLES

2, 4, 6, 8, 10, 12…
Real-life example: A packet containing 8 chocolates can be divided equally between 2 friends — so 8 is even.

Odd Numbers are numbers that are not divisible by 2.
They always end in 1, 3, 5, 7, or 9.

EXAMPLES

1, 3, 5, 7, 9, 11…
Real-life example: If you have 7 apples, you cannot divide them equally between 2 people — so 7 is odd.

2. Place Value & Face Value

Face Value of a digit is the actual value of the digit itself, no matter where it appears in the number.

EXAMPLES : In 582

Face value of 8 = 8
Face value of 5 = 5

Place Value of a digit depends on its position in the number (ones, tens, hundreds, thousands, etc.).

EXAMPLES: In 582

Place value of 8 = 80 (because it is in the tens place)
Place value of 5 = 500 (because it is in the hundreds place)

3. Divisibility Rules

A number is divisible by 2 if its last digit (units digit) is 0, 2, 4, 6, or 8.
Such numbers are always even numbers.

EXAMPLES:

128 → last digit 8 → Divisible by 2
450 → last digit 0 → Divisible by 2
732 → last digit 2 → Divisible by 2
915 → last digit 5 → Not divisible by 2
487 → last digit 7 → Not divisible by 2

A number is divisible by 3 if the sum of its digits is divisible by 3.

EXAMPLES:

123 → 1 + 2 + 3 = 6 (6 is divisible by 3) → Divisible
345 → 3 + 4 + 5 = 12 (12 is divisible by 3) → Divisible
510 → 5 + 1 + 0 = 6 (6 is divisible by 3) → Divisible
224 → 2 + 2 + 4 = 8 (8 is not divisible by 3) → Not divisible
731 → 7 + 3 + 1 = 11 (11 is not divisible by 3) → Not divisible

A number is divisible by 4 if the last two digits of the number form a number that is divisible by 4.

EXAMPLES:

316 → last two digits 16 → 16 ÷ 4 = 4 → Divisible
524 → last two digits 24 → 24 ÷ 4 = 6 → Divisible
780 → last two digits 80 → 80 ÷ 4 = 20 → Divisible
142 → last two digits 42 → 42 is not divisible by 4 → Not divisible
935 → last two digits 35 → 35 is not divisible by 4 → Not divisible

A number is divisible by 5 if its last digit is either 0 or 5.

EXAMPLES:

125 → last digit 5 → Divisible
340 → last digit 0 → Divisible
975 → last digit 5 → Divisible
482 → last digit 2 → Not divisible
719 → last digit 9 → Not divisible

A number is divisible by 6 if it is divisible by both 2 and 3.
So, the number must be even (last digit 0, 2, 4, 6, 8) and the sum of its digits must be divisible by 3.

EXAMPLES:

132 is Even → yes → 1 + 3 + 2 = 6 (divisible by 3) → Divisible
246 is Even → yes → 2 + 4 + 6 = 12 (divisible by 3) → Divisible
480 is Even → yes → 4 + 8 + 0 = 12 → Divisible
234 is Even → yes → 2 + 3 + 4 = 9 → Divisible
318 is Even → yes → 3 + 1 + 8 = 12 → Divisible

A number is divisible by 8 if the last three digits of the number form a number that is divisible by 8.

EXAMPLES:

1,248 → last three digits 248 → 248 ÷ 8 = 31 → Divisible
7,216 → last three digits 216 → 216 ÷ 8 = 27 → Divisible
4,480 → last three digits 480 → 480 ÷ 8 = 60 → Divisible
5,732 → last three digits 732 → 732 ÷ 8 = 91.5 → Not divisible
9,157 → last three digits 157 → 157 ÷ 8 = 19.625 → Not divisible

A number is divisible by 9 if the sum of its digits is divisible by 9.

EXAMPLES:

729 → 7 + 2 + 9 = 18 → 18 is divisible by 9 → Divisible
5,103 → 5 + 1 + 0 + 3 = 9 → 9 is divisible by 9 → Divisible
4,986 → 4 + 9 + 8 + 6 = 27 → 27 is divisible by 9 → Divisible
823 → 8 + 2 + 3 = 13 → 13 is not divisible by 9 → Not divisible
1,457 → 1 + 4 + 5 + 7 = 17 → 17 is not divisible by 9 → Not divisible

A number is divisible by 11 if the difference between the sum of digits in odd positions and the sum of digits in even positions is 0 or divisible by 11.
(Count positions from left to right or right to left—result remains same.)

EXAMPLES:

121 = Odd positions: 1 + 1 = 2, Even positions: 2, Difference = 2 − 2 = 0 → Divisible
473= Odd: 4 + 3 = 7, Even: 7, Difference = 7 − 7 = 0 → Divisible
1,452 = Odd: 1 + 5 = 6, Even: 4 + 2 = 6, Difference = 6 − 6 = 0 → Divisible
2,618= Odd: 2 + 1 = 3, Even: 6 + 8 = 14, Difference = 3 − 14 = –11 → Divisible (–11 is divisible by 11)
3,725= Odd: 3 + 2 = 5, Even: 7 + 5 = 12, Difference = 5 − 12 = –7 → Not divisible

4. HCF (GCD) & LCM

HCF (Highest Common Factor) or GCD (Greatest Common Divisor) is the largest number that divides two or more numbers exactly (without leaving any remainder).
It represents the greatest common factor shared by the given numbers.

EXAMPLES:

1. HCF of 8 and 12

Factors of 8 → 1, 2, 4, 8
Factors of 12 → 1, 2, 3, 4, 6, 12
Common factors: 1, 2, 4
HCF = 4

2. HCF of 15 and 25

Factors of 15 → 1, 3, 5, 15
Factors of 25 → 1, 5, 25
Common factors: 1, 5
HCF = 5

3. HCF of 18 and 24

Factors of 18 → 1, 2, 3, 6, 9, 18
Factors of 24 → 1, 2, 3, 4, 6, 8, 12, 24
Common factors: 1, 2, 3, 6
HCF = 6

4. HCF of 9 and 21

Factors of 9 → 1, 3, 9
Factors of 21 → 1, 3, 7, 21
Common factors: 1, 3
HCF = 3

5. HCF of 14 and 35

Factors of 14 → 1, 2, 7, 14
Factors of 35 → 1, 5, 7, 35
Common factors: 1, 7
HCF = 7

LCM is the smallest number that is a multiple of two or more given numbers.
In simple words, it is the lowest number that all the given numbers can divide exactly.

EXAMPLES:

1. LCM of 4 and 6

Least Multiples of 4 → 4, 8, 12, 16…
LeastMultiples of 6 → 6, 12, 18, 24…
Common: 12, 24…
LCM = 12

2. LCM of 5 and 7

Least Multiples of 5 → 5, 10, 15, 20, 25, 30, 35…
Least Multiples of 7 → 7, 14, 21, 28, 35…
Common Multiples: 35…
LCM = 35

3. LCM of 8 and 12

Least Multiples of 8 → 8, 16, 24, 32, 40…
Least Multiples of 12 → 12, 24, 36, 48…
Common Multiples: 24, 48…
LCM = 24

4. LCM of 9 and 15

Least Multiples of 9 → 9, 18, 27, 36, 45, 54…
Least Multiples of 15 → 15, 30, 45, 60…
Common Multiples: 45…
LCM = 45

5. LCM of 6 and 14

Least Multiples of 6 → 6, 12, 18, 24, 30, 36, 42, 48…
Least Multiples of 14 → 14, 28, 42, 56…
Common Multiples: 42…
LCM = 42

5. Fractions

A fraction represents a part of a whole.
It is written in the form a/b, where:

a = numerator (how many parts you have)
b = denominator (total number of equal parts)
and b ≠ 0.

Fractions are used when something is divided into equal parts.

EXAMPLES:

1/2: Represents one part out of two equal parts (half).
3/4: Means three parts out of four equal parts.
5/8: Means five parts out of eight equal parts.
7/10: Represents seven parts out of ten equal parts.
9/3: Nine parts out of three → equals 3 (because 9 ÷ 3 = 3).

6. Decimals

A decimal is a number that represents a fraction or part of a whole using a decimal point ( . ).
The digits to the right of the decimal point show tenths, hundredths, thousandths, etc.
Decimals are another way of writing fractions.

EXAMPLES:

0.5: Represents 5 tenths → same as 1/2.
2.75: Represents 2 wholes and 75 hundredths → same as 2 + 75/100.
0.25: Represents 25 hundredths → same as 1/4.
3.14: Represents 3 wholes and 14 hundredths.
6.009: Represents 6 wholes and 9 thousandths.

7. Surds & Indices

A surd is an irrational number that cannot be expressed as a simple fraction and is usually written with a root sign (√).
Surds have non-terminating, non-repeating decimal values and cannot be simplified into rational numbers.

EXAMPLES:

√2 → cannot be expressed as a fraction
√3 → irrational
√5 → value is infinite non-repeating
2√7 → also a surd
√8 = 2√2 → simplified surd, still irrational

Indices (Exponents) represent how many times a number (base) is multiplied by itself.
Written as aⁿ, where a = base and n = index/exponent.

EXAMPLES:

2³ = 2 × 2 × 2 = 8
5² = 5 × 5 = 25
10⁴ = 10 × 10 × 10 × 10 = 10,000
3⁰ = 1 (any number raised to 0 equals 1)
4⁻¹ = 1/4 (negative index means reciprocal)

8. Ratio & Proportion

A ratio compares two quantities of the same type and is written as a : b.
It shows how many times one quantity contains the other.

EXAMPLES:

8 : 12 → divide by 4 → 2 : 3
15 : 45 → divide by 15 → 1 : 3
20 : 30 → divide by 10 → 2 : 3
14 : 21 → divide by 7 → 2 : 3
18 : 24 → divide by 6 → 3 : 4

Proportion states that two ratios are equal.
If a : b = c : d, then the four numbers are in proportion.

EXAMPLES:

3 : 5 = 6 : 10, 3/5 = 6/10 → In proportion
4 : 6 = 10 : 15, 4/6 = 10/15 → In proportion
7 : 14 = 9 : 18, 7/14 = 9/18 → In proportion
8 : 12 = 20 : 30, 8/12 = 20/30 → In proportion
5 : 8 = 15 : 24, 5/8 = 15/24 → In proportion

9. Percentages

A percentage is a way of expressing a number as a fraction of 100.
It tells “how many parts out of 100” something represents.
Written using the symbol %.

EXAMPLES:

Find 20% of 150: 20% = 20/100, So, 20% of 150 = (20/100) × 150 = 0.2 × 150 = 30
What is 15% of 200?: 15% = 15/100, So, 15% of 200 = (15/100) × 200 = 0.15 × 200 = 30
80 is what percent of 200?: Formula: Percentage = (Value / Total) × 100 = (80 / 200) × 100 = 0.4 × 100 = 40%
Increase 500 by 10%: 10% of 500 = (10/100) × 500 = 50, New value = 500 + 50 = 550
Decrease 400 by 25%: 25% of 400 = (25/100) × 400 = 100, New value = 400 – 100 = 300

10. Averages

Average is the value obtained by dividing the total sum of all items by the number of items.
Formula: Average = Number of values/Sum of values

It represents the central value of a group of numbers.

EXAMPLES:

Find the average of 10, 20, 30: Sum = 10 + 20 + 30 = 60, Number of items = 3, Average = 60 ÷ 3 = 20
Find the average of 5, 15, 25, 35: Sum = 5 + 15 + 25 + 35 = 80, Number of items = 4, Average = 80 ÷ 4 = 20
Find the average of 12, 18, 24, 30, 36: Sum = 12 + 18 + 24 + 30 + 36 = 120, Number of items = 5, Average = 120 ÷ 5 = 24
The average of 40, 60, 80 is?: Sum = 40 + 60 + 80 = 180, Number of items = 3, Average = 180 ÷ 3 = 60
Find the average of 7, 14, 21, 28, 35: Sum = 7 + 14 + 21 + 28 + 35 = 105, Number of items = 5, Average = 105 ÷ 5 = 21

11. Profit, Loss, Discount

Profit occurs when Selling Price (SP) > Cost Price (CP).
$Profit = SP - CP |$

EXAMPLES:

CP = ₹500, SP = ₹650: Profit = 650 – 500 = ₹150, Profit% = (150/500)×100 = 30%
CP = ₹800, SP = ₹1,000: Profit = 1000 – 800 = ₹200, Profit% = (200/800)×100 = 25%
CP = ₹1200, SP = ₹1500: Profit = 1500 – 1200 = ₹300, Profit% = (300/1200)×100 = 25%
CP = ₹400, SP = ₹460: Profit = 460 – 400 = ₹60, Profit% = (60/400)×100 = 15%
CP = ₹250, SP = ₹300: Profit = 300 – 250 = ₹50, Profit% = (50/250)×100 = 20%

Loss occurs when Selling Price (SP) < Cost Price (CP).
$Loss = CP - SP |$

EXAMPLES:

CP = ₹700, SP = ₹600: Loss = 700 – 600 = ₹100, Loss% = (100/700)×100 = 14.28%
CP = ₹900, SP = ₹750: Loss = 900 – 750 = ₹150, Loss% = (150/900)×100 = 16.67%
CP = ₹450, SP = ₹400: Loss = 450 – 400 = ₹50, Loss% = (50/450)×100 ≈ 11.11%
CP = ₹1100, SP = ₹1000: Loss = 1100 – 1000 = ₹100, Loss% = (100/1100)×100 ≈ 9.09%
CP = ₹300, SP = ₹270: Loss = 300 – 270 = ₹30, Loss% = (30/300)×100 = 10%

A discount is the reduction in Marked Price (MP).
$Discount = MP - SP |$

EXAMPLES:

MP = ₹500, Discount = 10%: Discount = 10% of 500 = 50, SP = 500 – 50 = ₹450
MP = ₹800, Discount = 20%: Discount = 20% of 800 = 160, SP = 800 – 160 = ₹640
MP = ₹1000, Discount = 15%: Discount = 15% of 1000 = 150, SP = 1000 – 150 = ₹850
MP = ₹600, Discount = 12%: Discount = 12% of 600 = 72, SP = 600 – 72 = ₹528
MP = ₹2000, Discount = 25%: Discount = 25% of 2000 = 500, SP = 2000 – 500 = ₹1500

12. Simple & Compound Interest

Simple Interest (SI) is interest calculated only on the principal amount for the entire time period.
Formula:
Where: P = Principal, R = Rate (%), T = Time (years)
Amount: $A = P + S I$

EXAMPLES:

P = ₹1000, R = 10%, T = 2 years: 𝑆 𝐼 = 1000 × 10 × 2 / 100 = 200, Simple Interest = ₹200
P = ₹2500, R = 8%, T = 3 years: 𝑆 𝐼 = 2500 × 8 × 3/ 100 = 600, Simple Interest = ₹600
P = ₹1500, R = 12%, T = 1 year: 𝑆 𝐼 = 1500 × 12 × 1 / 100 = 180, Simple Interest = ₹180
P = ₹1800, R = 5%, T = 4 years: 𝑆 𝐼 = 1800 × 5 × 4 / 100 = 360, Simple Interest = ₹360
P = ₹3000, R = 7%, T = 2 years: 𝑆 𝐼 = 3000 × 7 × 2 / 100 = 420, Simple Interest = ₹420

Compound Interest (CI) is interest calculated on principal + previously earned interest.
Compound Interest: $C I = A - P$

EXAMPLES:

13. Time & Work

Time & Work deals with how much work can be completed in a given time and how long it takes to finish a task.

KEY CONCEPT:

Work Rate = 1 / Time taken (If a person finishes work in X days, then 1 day’s work = 1/X)
Total Work = Rate × Time
If two persons work together, their work rates add up (A’s 1-day work + B’s 1-day work)

EXAMPLES 1: A alone can do a piece of work in 10 days. Find A’s 1-day work.

1-day work = 1/10, So A completes 1/10th of the work per day.

EXAMPLES 2: A can do a work in 12 days, B can do it in 8 days. How long will they take together?

A’s 1-day work = 1/12
B’s 1-day work = 1/8
Together:
So 1 day’s combined work = 5/24
Therefore,
✔ They finish in 4.8 days

EXAMPLES 3: A can finish a work in 15 days. How much work is done in 5 days?

A’s 1-day work = 1/15
Work in 5 days:
✔ One-third work completed

EXAMPLES 4: A can do a work in 20 days and B can do it in 30 days. Find time taken together.

A’s 1-day work = 1/20
B’s 1-day work = 1/30
Together:
Time = reciprocal = 12 days
They finish in 12 days

EXAMPLES 5: A and B together can do a work in 10 days. A alone can do it in 15 days. Find B’s time.

A’s 1-day work = 1/15
(A + B)’s 1-day work = 1/10
B’s 1-day work =
So B alone takes 30 days.
✔ B’s time = 30 days

14. Time, Speed, Distance

Time, Speed, and Distance are related by the basic formula:
From this, we get:

EXAMPLES 1: Find the distance when speed = 40 km/h and time = 3 hours.

$Distance = Speed \times Time, So,$ Distance = 120 km

EXAMPLES 2: A car travels 150 km in 3 hours. Find its speed.

Speed = Distance / Time, So, = 150 / 3 = 50 km/h, ✔ Speed = 50 km/h

EXAMPLES 3: A train moves at 60 km/h. How long will it take to cover 180 km?

Time = Speed / Distance, So, = 180 / 60 = 3 hours, ✔ Time = 3 hours

EXAMPLES 4: A bike travels at 45 km/h for 2 hours 30 minutes. Find distance.

Convert 2 hours 30 minutes to hours: 2.5 hours, Distance = 45 × 2.5 = 112.5 km, ✔ Distance = 112.5 km

EXAMPLES 5: A person walks 12 km at a speed of 4 km/h. How much time will he take?

Time = 12 / 4 = 3 hours, ✔ Time = 3 hours

15. Problems on Ages

Problems on Ages deal with finding the present age, past age, or future age of one or more persons using given conditions.

Key Ideas

Use variables for present ages (let age = x).
Future age → x + n
Past age → x – n
Translate statements into equations and solve.

EXAMPLES 1: A is 5 years older than B. If B is 15 years old, find A’s age.

Given: B = 15 & A = B + 5, So, than 𝐴 = 15 + 5 = 20, ✔ A’s age = 20 years

EXAMPLES 2: The sum of ages of a father and son is 50. If the father is 30 years older than the son, find the son’s age.

Let son’s age = x
Father’s age = x + 30
Equation: $x = 10$
✔ Son = 10 years, Father = 40 years

EXAMPLES 3: A’s age after 5 years will be 30. Find A’s present age.

Future age = present age + 5, So than, Present age = 30 − 5 = 25,
✔ A’s present age = 25 years

EXAMPLES 4: The ratio of ages of A and B is 3 : 5. If B is 25 years old, find A’s age.

Ratio: A : B = 3 : 5, Given B = 25, So, 1 part = 25 / 5 = 5, than, 𝐴 = 3 × 5 = 15
✔ A’s age = 15 years

EXAMPLES 5: Ten years ago, A was twice as old as B. If B is 20 now, find A’s present age.

B 10 years ago = 20 − 10 = 10, & A 10 years ago = 2 × 10 = 20, So, Present age of A = 20 + 10 = 30
✔ A’s present age = 30 years

16. Number Series

A number series is a sequence of numbers arranged in a specific pattern or rule, such as:Problems on Ages deal with finding the present age, past age, or future age of one or more persons using given conditions.

Addition / Subtraction
Multiplication / Division
Squares / Cubes
Mixed operations
Difference pattern

The goal is to identify the rule and find the next number in the sequence.

EXAMPLES 1: Series: 2, 4, 6, 8, ?

Pattern → Add 2 each time, So, 2 + 2 = 4, 4 + 2 = 6, 6 + 2 = 8, 8 + 2 = 10
✔ Answer: 10

EXAMPLES 2: Series: 3, 9, 27, 81, ?

Pattern → Multiply by 3, So, 3 × 3 = 9, 9 × 3 = 27, 27 × 3 = 81, 81 × 3 = 243
✔ Answer: 243

EXAMPLES 3: Series: 5, 8, 12, 17, ?

Pattern → Differences increase by +1, So, 8 − 5 = 3, 12 − 8 = 4, 17 − 12 = 5, Next difference = 6 17 + 6 = 23
✔ Answer: 23

EXAMPLES 4: Series: 1, 4, 9, 16, ?

Pattern → Squares of natural numbers
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
✔ Answer: 25

Number System And Arithmetic | Complete Notes, Examples & 25 MCQs for Competitive Exams

✅ NUMBER SYSTEM & ARITHMETIC – BRIEF DESCRIPTION

1. Types of Numbers

2. Place Value & Face Value

3. Divisibility Rules

4. HCF (GCD) & LCM

5. Fractions

6. Decimals

7. Surds & Indices

8. Ratio & Proportion

9. Percentages

10. Averages

11. Profit, Loss, Discount

12. Simple & Compound Interest

13. Time & Work

14. Time, Speed, Distance

15. Problems on Ages

16. Number Series

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Number System And Arithmetic | Complete Notes, Examples & 25 MCQs for Competitive Exams

✅ NUMBER SYSTEM & ARITHMETIC – BRIEF DESCRIPTION

1. Types of Numbers

2. Place Value & Face Value

3. Divisibility Rules

4. HCF (GCD) & LCM

5. Fractions

6. Decimals

7. Surds & Indices

8. Ratio & Proportion

9. Percentages

10. Averages

11. Profit, Loss, Discount

12. Simple & Compound Interest

13. Time & Work

14. Time, Speed, Distance

15. Problems on Ages

16. Number Series

Sharing is caring:

Contact For Assistance

Give Your Suggestion

Mathematics - A Complete Course With 1500+ MCQ's For All Competitive Exams

All Computer Courses

The Website Is Yours | Keep Reading | Upgrade Your Skill | Get Success | Stay Stress Free

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Important Links

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