##### Document Text Contents

Page 1

MATH FORMULAS & FUNDAS

For CAT, XAT & Other MBA Entrance

Examinations

Ravi Handa

presents

Version 5.0

[email protected]

Page 2

Preface

Hi,

I run the website www.hanadkafunda.com In the last 8

years, I have taken classes at IMS, TIME and Genesis

Mentors in Kolkata, Jaipur, Surat and Pune.

One of the common questions that I have been asked

over and over again is: “What should be done in the last

few days?” I am a strong believer in the idea nothing

much should be done in the last few days. This time

should be used to calm down your nerves before the

final day. Giving mocks during the last week should

definitely be avoided. Often it ends up doing more harm

than good. However, you should revise the key concepts

during the last few days and that is precisely why I

compiled this eBook.

This eBook contains a list of formulas and concepts

which will help you in revising and preparing for the big

day. I would love to hear what you think of the eBook

Ravi Handa

[email protected] +91-9765142632

I have an online CAT coaching course:

http://handakafunda.com/online-cat-

coaching/

Some of its key features are:

200+ Videos for clarity in concepts

200+ Videos with previous year CAT

Solution

60 Live Classes for doubt clarification

Entire Quant, LR & DI Syllabus

Date: 5

th

May 2014

[email protected]

http://www.hanadkafunda.com/

mailto:[email protected]

http://handakafunda.com/online-cat-coaching/

http://handakafunda.com/online-cat-coaching/

Page 32

A Median of a triangle is a line segment joining a vertex

to the midpoint of the opposing side. The three medians

intersect in a single point, called the Centroid of the

triangle. Centroid divides the median in the ratio of 2:1

An Altitude of a triangle is a straight line through a

vertex and perpendicular to the opposite side or an

extension of the opposite side. The three altitudes

intersect in a single point, called the Orthocenter of the

triangle.

A Perpendicular Bisector is a line that forms a right

angle with one of the triangle's sides and intersects that

side at its midpoint. The three perpendicular bisectors

intersect in a single point, called the Circumcenter of

the triangle. It is the center of the circumcircle which

passes through all the vertices of the triangle.

An Angle Bisector is a line that divides the angle at one

of the vertices in two equal parts. The three angle

bisectors intersect in a single point, called the Incenter

of the triangle. It is the center of the incircle which

touches all sides of a triangle.

Funda: Centroid and Incenter will always lie inside the

triangle.

- For an acute angled triangle, the Circumcenter and

the Orthocenter will lie inside the triangle.

- For an obtuse angled triangle, the Circumcenter and

the Orthocenter will lie outside the triangle.

- For a right angled triangle the Circumcenter will lie at

the midpoint of the hypotenuse and the Orthocenter

will lie at the vertex at which the angle is 90°.

Funda: The orthocenter, centroid, and circumcenter

always lie on the same line known as Euler Line.

- The orthocenter is twice as far from the centroid as

the circumcenter is.

- If the triangle is Isosceles then the incenter lies on

the same line.

- If the triangle is equilateral, all four are the same

point.

Continued >>

HOME

[email protected]

Page 33

Theorems

Mid Point Theorem: The line joining the midpoint of any

two sides is parallel to the third side and is half the

length of the third side.

Basic Proportionality Theorem: If DE || BC, then AD/DB

= AE/EC

Apollonius’ Theorem: AB

2

+ AC

2

= 2 (AD

2

+ BD

2

)

Interior Angle Bisector Theorem: AE/ED = BA/BD

Continued >>

HOME

[email protected]

Page 63

Sequence, Series & Progression

Arithmetic Progression

Funda: Number of terms

Geometric Progression

Sum till infinite terms =

(Valid only when r<1)

Funda: Sum of first n odd numbers

Funda: Sum of first n even numbers

Funda: If you have to consider 3 terms in an AP,

consider {a-d,a,a+d}. If you have to consider 4 terms,

consider {a-3d,a-d,a+d,a+3d}

Funda: If all terms of an AP are multiplied with k or

divided with k, the resultant series will also be an AP

with the common difference dk or d/k respectively.

Funda: Sum of first n natural numbers = n(n+1)/2

Funda: Sum of squares of first n natural numbers =

n(n+1)(2n+1)/6

Funda: Sum of cubes of first n natural numbers =

[n(n+1)/2]

2

HOME

[email protected]

Page 64

Contact Details

Ravi Handa

Phone: +91- 9765142632

Email: [email protected]

I have an online CAT coaching course:

http://handakafunda.com/online-cat-coaching/

Some of its key features are:

200+ Videos for clarity in concepts

200+ Videos with previous year CAT Solution

60 Live Classes for doubt clarification

Entire Quant, LR & DI Syllabus is covered .

HOME

[email protected]

mailto:[email protected]

http://handakafunda.com/online-cat-coaching/

MATH FORMULAS & FUNDAS

For CAT, XAT & Other MBA Entrance

Examinations

Ravi Handa

presents

Version 5.0

[email protected]

Page 2

Preface

Hi,

I run the website www.hanadkafunda.com In the last 8

years, I have taken classes at IMS, TIME and Genesis

Mentors in Kolkata, Jaipur, Surat and Pune.

One of the common questions that I have been asked

over and over again is: “What should be done in the last

few days?” I am a strong believer in the idea nothing

much should be done in the last few days. This time

should be used to calm down your nerves before the

final day. Giving mocks during the last week should

definitely be avoided. Often it ends up doing more harm

than good. However, you should revise the key concepts

during the last few days and that is precisely why I

compiled this eBook.

This eBook contains a list of formulas and concepts

which will help you in revising and preparing for the big

day. I would love to hear what you think of the eBook

Ravi Handa

[email protected] +91-9765142632

I have an online CAT coaching course:

http://handakafunda.com/online-cat-

coaching/

Some of its key features are:

200+ Videos for clarity in concepts

200+ Videos with previous year CAT

Solution

60 Live Classes for doubt clarification

Entire Quant, LR & DI Syllabus

Date: 5

th

May 2014

[email protected]

http://www.hanadkafunda.com/

mailto:[email protected]

http://handakafunda.com/online-cat-coaching/

http://handakafunda.com/online-cat-coaching/

Page 32

A Median of a triangle is a line segment joining a vertex

to the midpoint of the opposing side. The three medians

intersect in a single point, called the Centroid of the

triangle. Centroid divides the median in the ratio of 2:1

An Altitude of a triangle is a straight line through a

vertex and perpendicular to the opposite side or an

extension of the opposite side. The three altitudes

intersect in a single point, called the Orthocenter of the

triangle.

A Perpendicular Bisector is a line that forms a right

angle with one of the triangle's sides and intersects that

side at its midpoint. The three perpendicular bisectors

intersect in a single point, called the Circumcenter of

the triangle. It is the center of the circumcircle which

passes through all the vertices of the triangle.

An Angle Bisector is a line that divides the angle at one

of the vertices in two equal parts. The three angle

bisectors intersect in a single point, called the Incenter

of the triangle. It is the center of the incircle which

touches all sides of a triangle.

Funda: Centroid and Incenter will always lie inside the

triangle.

- For an acute angled triangle, the Circumcenter and

the Orthocenter will lie inside the triangle.

- For an obtuse angled triangle, the Circumcenter and

the Orthocenter will lie outside the triangle.

- For a right angled triangle the Circumcenter will lie at

the midpoint of the hypotenuse and the Orthocenter

will lie at the vertex at which the angle is 90°.

Funda: The orthocenter, centroid, and circumcenter

always lie on the same line known as Euler Line.

- The orthocenter is twice as far from the centroid as

the circumcenter is.

- If the triangle is Isosceles then the incenter lies on

the same line.

- If the triangle is equilateral, all four are the same

point.

Continued >>

HOME

[email protected]

Page 33

Theorems

Mid Point Theorem: The line joining the midpoint of any

two sides is parallel to the third side and is half the

length of the third side.

Basic Proportionality Theorem: If DE || BC, then AD/DB

= AE/EC

Apollonius’ Theorem: AB

2

+ AC

2

= 2 (AD

2

+ BD

2

)

Interior Angle Bisector Theorem: AE/ED = BA/BD

Continued >>

HOME

[email protected]

Page 63

Sequence, Series & Progression

Arithmetic Progression

Funda: Number of terms

Geometric Progression

Sum till infinite terms =

(Valid only when r<1)

Funda: Sum of first n odd numbers

Funda: Sum of first n even numbers

Funda: If you have to consider 3 terms in an AP,

consider {a-d,a,a+d}. If you have to consider 4 terms,

consider {a-3d,a-d,a+d,a+3d}

Funda: If all terms of an AP are multiplied with k or

divided with k, the resultant series will also be an AP

with the common difference dk or d/k respectively.

Funda: Sum of first n natural numbers = n(n+1)/2

Funda: Sum of squares of first n natural numbers =

n(n+1)(2n+1)/6

Funda: Sum of cubes of first n natural numbers =

[n(n+1)/2]

2

HOME

[email protected]

Page 64

Contact Details

Ravi Handa

Phone: +91- 9765142632

Email: [email protected]

I have an online CAT coaching course:

http://handakafunda.com/online-cat-coaching/

Some of its key features are:

200+ Videos for clarity in concepts

200+ Videos with previous year CAT Solution

60 Live Classes for doubt clarification

Entire Quant, LR & DI Syllabus is covered .

HOME

[email protected]

mailto:[email protected]

http://handakafunda.com/online-cat-coaching/