example usage of vedic / fast maths.

lets see in what all ways the vedic maths or better say fast maths can be used to beat your own mental skills and in some cases, even calculator ;)

Example 1 : Finding Square of a number ending with 5
To find the square of 75

Do the following

Multiply 5 by 5 and put (5X5)=25 as your right part of answer.
=> xxxxxxx25
now,Multiply 7 with the next higher digit
=> 7 X (7+1)=7X8
gives 56 as the left part of the answer
so, Answer is 5625


Example 2 : Calculate 43 X 47 (The above 'rule' works when you multiply 2 numbers with units digits add upto 10 and tenth place same)
3X7=21
xxxxxxx21
4X(4+1)=20

The answer is 2021 Same theory worked here too.

same as above; Find 52 X 58 ? Answer = 3016 How long this take ?

Example 3: Multiply 52 X 11
answer is 572
Write down the number being multiplied
5xxxxxxxxx2
and put the total of the digits between two digits
52 X 11 is [ 5 and 5+2=7 and 2 ] ,
answer is 572
note: in case you want to multiply 52 with 111
just write 7 twice => 5772
in case of 1111
57772

sum,here 5+2 = 7 is written one time lesser than the 1's in the digit.

INTRODUCTION OF VEDIC MATHEMATICS

• WHAT IS VEDIC MATHEMATICS?

It is an ancient technique, which simplifies multiplication, divisibility,squaring, cubing, square and cube roots.

Even recurring decimals and auxiliary fractions can be handled by Vedic mathematics. Vedic Mathematics forms part of Jyotish Shastra which is one of the six parts of Vedangas. The Jyotish Shastra or Astronomy is made up of three parts called Skandas. A Skanda means the big branch of a tree shooting out of the trunk.

AND THE BEST PART IS - you dont even need a calculator for this purpose.

• What is the basis of Vedic Mathematics?

The basis of Vedic mathematics, are the 16 sutras, which attribute a set of qualities to a
number or a group of numbers. The ancient Hindu scientists (Rishis) of Bharat in 16 Sutras
(Phrases) and 120 words laid down simple steps for solving all mathematical problems in
easy to follow 2 or 3 steps.

Vedic Mental or one or two line methods can be used effectively for solving divisions, reciprocals, factorisation, HCF, squares and square roots, cubes and cube roots, algebraic
equations, multiple simultaneous equations, quadratic equations, cubic equations, biquadratic
equations, higher degree equations, differential calculus, Partial fractions,Integrations, Pythogorus theoram, Apollonius Theoram, Analytical Conics and so on.

Vedic Maths / Vaidic Maths / Vadic Maths (whatever you call)

we are restarting the series we stoped in middile. we posted a lesson about vedic maths for our readers as well but that wasn't carried on properly as well. so now we are starting again from the very begining and this time we will be going from the root of the technique known as
"VEDIC MATHS or VADIC MATHS or VAIDIC MATHS"

WHATEVER YOU CALL IT BUT ITS A BRILLIANT TECHNIQUE THAT CAN MAKE YOU DOUBT YOUR OWN MENTAL CAPABILITIES.

WE SUGGEST ALL READERS TO GO ONE BY ONE AND READ EACH POST VERY SERIOUSLY CAUSE EVERY THING IS RELATED TO EACH OTHER.

maths formule

we got a wordsheet that consists many useful formule. all formule are common but being together, makes really easy to revise.
first page i am posting right now.


GMAT FORMULAS
Summation Formula = (Number of numbers)/2 * (f + l), where number of numbers = f – l + 1

Percent Change = Difference/Original

Rectangular Solid Volume = L*W*H

Cube Volume = S*S*S

Cylinder Volume = PieRsquaredH

Surface Area (Combined area of all the surfaces, or faces, of a solid)

Surface Area of Rectangular Solid = 2lw + 2lh + 2wh

Surface Area of a Cube = 6ssquared

Principal + Interest = principal * (1+r)>t, where

Total = Group 1 + Group 2 – Both + Neither

Quadratics
• (x + y)2 = x2 + 2xy + y2
• (x – y)2 = x2 – 2xy + y2
• (x + y)(x – y) = x2 – y2

Number of permutations (different arrangements when order matters) = (n!)/(n-r)!

Number of combinations (arrangements when order doesn’t matter) = (n!)/r!(n-r)!

where n = number of objects in the source group
where r = number of objects selected

The length of a given side must be greater than the difference of the other two sides and less tha
the sum of the other two sides.

vedic matsh lesson - 2

Hello friends.How the preparation is is going. I am back with vedic maths lesson 2 as I promised in earlier post and I can say your wait for this post hasn’t got waste as this post will give a direct hint to what amazing power vedic maths has and why u need to master it.

I said in my first post that vedic maths is contained in 16 sutras and 16 sub sutras. Today in this post I shall start with the sutras.

I’m starting with the 2^nd sutra of Vedic maths. The 1^st will come a little later on.

SUTRA 2 – NIKHILAM NAVATAS’CARMAM DASATAH

(Simply meaning “all from 9 and the last from 10 “ )

This formula can be very very effectively applied to multiplication of numbers which are near to the bases like 10,100,100 ie to the power of 10’s.This formula is very simple and will make multiplication steps reduced to minimum and leave it all on very simple mental calculation. I bet after reading this post you will be able to do calculations like 997 x 990 in a matter of seconds maybe a minute at max and all yourself. So lets start.

The difference between number and base is called deviation. the deviation can be positive or negative. Negative deviation can also be written as bar n top of number but it’s not necessary.

Ex Number are 14. The deviation will be (14-10) = 4. We took base 10 here .Another example 96. The deviation here will be 3 (103-100). We took base 100 here.

Now lest start the multiplication . lets start with easy numbers like..

7 X 8

we will apply the nikhilam ( sutra 2) to do this now.

In this case the base is 10 for both the numbers.

Step 1-

Write both numbers to be multiplied one below the other like

7

8

Step 2 – take deviation from both numbers and write them in from of them like..

7 -3

8 -2

Step-3 answer

Now the answer will have the 2 parts . The right hand side and the left hand side. Don’t get confused here its all very simple in practical sense.

7 -3

8 -2

7-2/ (3X2) = 5/6=56

as you can see what I did was in the RHS of the answer we just multiply the deviations that is 2X3 in LHS(left hand side) of answer we can do 4 methods but the method I chose here was I subtracted the 2 from 7 ie I subtracted 2^nd deviation(2) from 1^st number (7) and we got 5 as RHS ( right-hand side) of answer, then we just combined the RHS and LHS of answer and we get 5 / 6 = 56

Lets do this for :-

98 X 97

98 - 02

97 – 03

98-3 / 3x2= 95/06 = 9506

Example –

994 X 988

994 - 006

988 -012

-------------------

994-12/ 6X12= 982/072 = 982072

1275 X 1004

1275 -275

1004 - 004

1279/275X4 = 1279/ 1_100 = 1280100 ( 1 got carries to RHS )

CASE - where one number is more and other is less than the base.

Example

13 x 7

13 - 3

7 - (-3)

13-03 / 3x3 = 10/-9 = 100-9 = 91

So that was the Sutra -2 . I know many of you may have doubts and question about this as it cannot be that simple. You can just leave a comment in the comments below with your questions and I will explain with example solutions.

Thank you

Vedic (vadic) maths – lesson 1

Vedic math or the ‘fast math’ is a system of reasoning and mathematical working based on ancient India teachings called Veda. It is fast efficient easy to learn and use.

It is being taught in some of the most prestigious institutions in the England and Europe. NASA applied its principals in the filed of artificial intelligence.

What is vadic maths?

It is an ancient technique which simplifies, multiplication, divisibility, complex numbers, squaring, cubing, and square and cube roots. Even recurring decimals and auxiliary fractions can be handled by vadic maths. Vedic math’s forms a part of the jyotish shastra which is one of the six parts of vedangas. The jyotish shastra or astronomy is made up of 3 parts called skandas, it mean big branch of tree shooting outwards.
Vedic maths was made famous by a swami called bharathikrishna (1184-1960)

Basis of vadic maths

The basis of vadic maths is 16 sutras, which attribute a set of qualities to a number or a group of numbers. The ancient Hindu scientist (rishis) of bharat (India) in 16 sutras (phrase) and 120 words laid down simple steps for solving all mathematical problems in easy to follow 2 or 3 steps.

Mental or 1 or 2 line Vedic methods can be used effectively for solving division, reciprocal, factorization , HCF , squared and square roots, cubes and cube roots, algebraic equations, multiple simultaneous equations, higher degree equations, differential calculus, partial fractions, integration, Pythagoras theorem , Apollonius theorem, analytical conics and so on.

Is it useful in today’s world?

Given the initial training of modern math to students in today’s school, students will be able to comprehend the logic and achieve unimaginable help in their working in the world afterwards. It is amazing how with the help of 16 sutras and 16 sub-sutras the vedic seers were able to mentally calculate complex mathematical problems.

Vedic maths is utmost important for every GMAT and CAT aspirant. It will give u a huge boost in your quant section as you will be able to do all the calculation mentally and with amazing fast speed. This saves time in your examination and increases your moral.

Now we all know what is vadic maths and it importance. In the next lesson we will start with the 16 sutras and how to apply the vadic math logic to mathematical problem.

vedic maths(vadic maths)- JUST MASTER THIS ART.

hello readers
first of all we want to appologise for the delay in supply of these lessons. actually the delay was the result of time consuming process of resolving copyrights. but finally we have 100% exclusive rights for the lessons we have prepared for our readers.

yes we are talking about the same 32 lessons that we promised to our readers regarding vedic maths. we have made these lessons with personal experience and expertise of many professors who are professional vedic/vadic maths lecturers.

for your interest and knowledge we, now, will be uploading each and every know-how we have by now regarding vedic maths for you on this online gmat prepration site.

we will start from tomorrow about how to go on with this trick and how to master this trick.

we will guide you exactly how i, personally, worked on this art and i am 100% sure that by the end of these lectures you will be able to solve those mathematical calculations oraly which you couldnt even think of doing before.

so here is the very first assignment for those who really want to master this trick.
first of all you have to learn tables.

plz dont think you know them even if you know them. this art becomes much more easy to catch up if you know the most basic thing in maths i.e. tables

you must be clear with tables from 1X30 to 30X30
though there is no fixed limit - the more you know -the better it will be for you.

there is no need for this file but still to make the path absolutely smooth we have uploaded this file containing tables that you must be loaded with.

note:- plz note we are not asking you to cram but just to read them on daily or twice a day so that slowly these will be on your tips. and this is not the first lesson but only the ice breaking exercise.

so here is the link to download

www.filehostingsite.com - tables 30X30

we will start with lessons in no time now
so be uptodate with these tables

gaurav and kunal

VEDIC MATHS (VADIC MATHS).

FOR OUR READERS!

from 1 of may we will start a new section on vedic/vadic maths (whatever you call) and this will take around 32 lectures or you can say 32 posts to cover all those chapters. we have developed those 32 chapters with a detailed discussion with our professor. (discussed in olders posts as well) and this will help a lot in the test. you will be able to answer a lot faster and correct in quant that you can't imagine.

personaly! i am pretty sure that after going through those lessons and doing a littile practice, you will be able to master vedic maths.

so i suggest all the readers to take those lessons very seriously and keep practicing side by side. otherwise at the end of the day you will be having everything to learn at once.
so keep reading - keep learning - keep practicing ang then break the wall called gmat. :)

---------------------------------------------------------------------------

I SUGGEST ALL TO SUBSCRIBE TO THE BLOG IF YOU ARE NOT SUBSCRIBED ALREADY COZ THIS WILL ENABLE TO GET ALL THE UPDATES REGARDING THE NEW LESSONS AUTOMATICALLY ON YOUR EMAILS AND WE WON'T BE NEEDED TO POST THE SAME LESSONS AGAIN ON YOUR REQUESTS.

THATS ALL FOR NOW
1st of may is the startup day ;)

gaurav and kunal

VEDIC MATHS:- QUERY SOLVING

hey friends..

one of our regular readers asked us a question about some trick which can help in subtracting a number from the base number.
we are sorry for the delay in solving that query but that happened coz i was busy in my exams.

here is a trick which i think could be helpful...

step 1:- take the number you need to subtract from base number

(it will surely be near that number. i mean if you have 22 your base will be 100 or if its 760 then it might be 1000)

step 2:- subtract the units digit from 10, and remaining digits from 9 of the number you need to subtract from the base.

and thats it... :)

isnt it really simple

lets see it with an example

you want to subtract 638 from 1000 so what will you do....

6---3---8 (subtract from)

!----!----!

9---9---10

------------

3---6---2 is the answer

------------

you can subtract any number from base number with this trick




and one more thing friends
we will provide the link for OG-11 today with in 2 hours
the file is in uploading process

let us now if you need any other utility or resource.

keep working smart (not hard) :)

Some neat vedic math tricks

SQUARING OF NUMBERS NEAR THE BASE.

Observe simple examples:

97 Squared = 97 -­ 3 / 3x3 = 94 / 09
96 Squared = 96 -­ 4 / 4x4 = 92 / 16.

When the number being squared is above the base, of 100 here, we add the Excess and Square the Excess:
104 Squared = 104 + 4 / 4x4 = 108 / 16 = 10, 816
104 x 105 = 104 + 5 / 4x5 = 109 / 20 = 10, 920

What if we enlarged our numbers to 998 Squared?

It is close to 1,000 so we say Base 1,000 and know to have 3 zero's on the right hand side of the ( / ).
998 Squared = 998 -­ 2 / 2x2 = 996 / _ _ 4 = 996 / 004. = 996,004

Understanding this, you can be calculating digits in the millions: 9998 Squared = 9998 -­ 2 / 2x2 = 9996 / _ _ _ 4
(Since we are in Base 10,000 the 4 zeros determine the need for 4 digits after the ( / ). = 9996 / 0004 = 99,960,004.

THE SQUARING OF NUMBERS ENDING IN 5

If we wanted to square the number 25, ie 25 x 25, we would conventionally take 3 lines of working out. Vedic Mathematics merely looks at the Question, applys one of the 16 Sutras, and solves it Mentally in One-Line. In this case, the Sutra at work is "By One More Than The Previous Digit".

Observing that 25 is a 2 digit number, 5 is the last digit, but we are mainly interested in "the Previous Digit" which is 2.
We say, mentally, "What is One more than Two?" It is 3. The word "By" in the Sutra really means "to multiply".
The setting out for the first half of the answer is thus:
25 Squared = 2 "By" 3 / ........ = 2 x 3 / ........ To this we tag on the last digit "5" squared: = 2 x 3 / 5 x 5 = 6 / 25
Thus the answer is 625.

Similarly, all other numbers that end in 5, when squared, can be done instantly:
15 Squared = 1 x 2 / 5 x 5 = 2 / 25 = 225
35 Squared = 3 x 4 / 5 x 5 = 12 / 25 = 1,225
45 Squared = 4 x 5 / 5 x 5 = 20 / 25 = 2,025
95 Squared = 9 x 10 / 5 x 5 = 90 / 25 = 9, 025

VADIC MATHS - LESSON NUMBER TWO.

after learning how to square a number ending with 5 now we will do something called comman base method.

this method is a technique of multiplying number which comes under same base.
this base could be anything like
-10
-100
-1000 etc.

to multiply two numbers we just need to make them subtracted or added to a comman base.
lets do an example.
MULTIPLY 99 X 92

step 1:-MAKE COMMAN BASE
here the base is 100. (coz while setting the base we should keep in mind that the base should be closest to the numbers to make sure that the minimum calcultaions will be required.

step 2:-SUBTRACT THE NUMBERS FROM THE BASE AND WRITE THEM IN THE ORDER.

100- 99 = 01
100- 92 = 08
(we write the number we get after subtraction in as many digits as many zeros we have in the base, here we have 2 zeros in 100)
AND YOU HAVE TO WRITE THESE IN THE FOLLOWING SEQUENCE

99 01
X !
92 08
----------
91 08 = 9108 is the answer


this 91 we get my subtracting (92-01) or (99-08) cross digits
and 08 we get by multipling the straight line of the digits we get after subtraction from base (01 X 08)
the zero wil remain coz we have two digits in our base.

isnt it simple

now lets try this with two digits which
one is bigger than base another is smaller than base

112 X 92

so step 1:-
112-100 = +12 (no need to add zero coz we have only two zeros in base and we have two digits in 12 as well)
92-100 = -08 (the sign will be on negative coz 92 is lesser than 100)

(in the previous example we ignore negative sign by subtracting both the digits from 100 but in this case its not possible)

so now we have

112 +12
92 -08
-------------
104 -96

now we have to right it like this

10400
- 96
-----------
10304 thats the answer
-----------

you can try this on any number

try it

tables are still important

learn from 1X30 to 30X30

we will keep posting more tricks till then master these ones

gaurav

VADIC MATHS - FIRST LESSON

after getting a good response about vadic maths here is the very first lesson about this.
before starting let me tell you again that its not gona be a cup of tea but yes, we can do this all together.

keeping in mind that "practice makes a man perfect and writting makes a man exact"
we will start our very first lesson.

ok the very first thing we will discuss is squaring a number ending with 5

ok let begin with this (you must be knowing that 5 square is 25 ) ;)

step one: take a number ending with 5.

say, 45.

step two: write the ten's and unit's number 25 without thinking much.

so you have xxxxx25 (doesnt matter how many digits before 25)

step three: take the remaining number before 5 from the original number

in this case its 4

step four: add 1 to this number(step 3) and multiply the number with the number of step three.

means (4+1) X 4 = 20

step 5 : simply put this number(step 4) in front of step 2's 25

means 20 25

and thats your answer 2025

you dont even need a calculator.

now we will try this formula for some more numbers...

lets take 25.....

----- xxxxx25
------ (2+1)X2 = 6
--------- 625

thats the square of 25 :)

lets do this for a bigger number say, 85

------- xxxxx25
------- (8+1)X8 = 72
------- 7225
thats the answer

you can use the same formula for ever number ending with 5.

and now the homework comes......

you should learn the tables.... i know you have done a lot of them in school but its time to revise them

learn from 1X20 to 30X20 or atleast till 20X20

this will help when you solve three and four digit numbers...

let us know if you like this lesson coz this lesson is just the begining and we will do many more

:)

QUANT! ---- VADIC MATHS.

hey pals!
hope your prepration is going well....

we will discuss something about quant now.after a detailed discussions with my professors and other lecturers of quant i got some good knowledge which i would like to share with you.

first of all lets discuss why they actually want us to know quant?
- actually quant is the section which is segmented to test the aplicant's mental abilities to deal with figures.

you would be wondering like me about why they actually give so much importance to verbal calcultations (we have pcs, calculators and hell lot of equipments) but the answer is somewhat justified.

they want us to show how fast we are in playing with figures. the professor i talked about all this told me that you have to have a compatibility with figures because while reading company reports (some times from xx to xxx pages) and full of ratios and data figures, calculators and pcs become obsolete and mental abilities makes all the difference. they told me that the thin line between a good managerial decision and a bad one is actually generated from here only and i agreed him somewhat.

anyways the better reason to work on quant is - it is present in exam and you are not USA's president who can alter the exam style. so better learn it and rule the exam.

the main thing as mentioned above is figures and compatibility with them and to have a good gelling with figures you must be easy with calculations.

we are doing them from very first standard in schools and still have some kind of a fear left with in us about how to go ahead with them. so here is a solution to the problem-

VADIC MATHS

yes this is the sollution for all the problems or atleast most of them. after learning this you will wonder how easy it is to multiply and divide numbers which you wouldnt have even dared to add or subtract.percentages and proportioning will be not a difficult task at all.

it wont be easy but nothing to worry about. lets start this all together and lets see where we can reach.

we will start with vadic maths tricks and methods from the next post.

let me know if you are interested in these techniques.