Compound Interest Short Tricks

Compound Interest Shortcut Tricks

Shortcut Tricks are very important things in competitive exam. Time is the main factor in competitive exams. If you know time management then everything will be easier for you. Most of us miss that part. Here in this page we give few examples on Compound Interest shortcut tricks. These shortcut tricks cover all sorts of tricks on Compound Interest. We request all visitors to read all examples carefully. These examples here will help you to better understand shortcut tricks on compound interest.

Before starting anything just do a math practice set. Write down twenty math problems related to this topic on a page. Solve first ten math problems according to basic math formula. You also need to keep track of the time. After finish write down total time taken by you to solve those ten maths. Now go through our page for compound interest shortcut trick. After finishing this do remaining questions using Compound Interest shortcut tricks. Again keep track of Timing. You will surely see the improvement in your timing this time. But this is not enough. You need to practice more to improve your timing more.

Math section in a competitive exam is the most important part of the exam. It doesn’t mean that other topics are not so important. But if you need a good score in exam then you have to score good in maths. Only practice and practice can give you a good score. You should do your math problems within time with correctness, and only shortcut tricks can give you that success. But it doesn’t mean that you can’t do math problems without using any shortcut tricks. You may do math problems within time without using any shortcut tricks. You may have that potential. But so many other people may not do the same. So Compound Interest shortcut tricks here for those people. Here in this page we try to put all types of shortcut tricks on Compound Interest. But we may miss few of them. If you know anything else rather than this please do share with us. Your little help will help others.

Compound Interest is difference between the original principal and final amount is called Compound Interest ( CI ). 

Compound Interest is Similar to Simple Interest shortcut tricks as we know that same for some time but some cases its different from Simple Interest, In case of Compound Interest the interest is vary according to time but the first year it is equal always that is.

1st year Interest is “Compound Interest = Simple Interest”. But after that year it is increases. This type of problem are given in Quantitative Aptitude which is a very essential paper in banking exam. Under below given some more example for your better practice .

When we use this  given below formulas some calculation it takes too much time and when we try to solve it, it become lengthy, So reduces the taking time to solve problems we give some extra shortcut tricks which helps you for fast calculation.

Some important formula of Compound Interest

    A = Amount.
    P = Principal.
    R = Rate of Interest.
    N = Number of Years.

    Type I : Interest compounded yearly :
    A = P ( 1 + r / 100 )n

    Type II : Interest compounded half – yearly :
    Amount = P [ 1 + r / 2 / 100 ]4n or = P = [ 1 + r / 200 ] 2n

    Type III : Interest compounded quarterly :
    Amount = P [ 1 + r / 4 / 100 ]   or  = P [ 1 + r / 400 ] 4n

In Compound Interest problems asked in exams up to the period of 3 years.

In case we apply basic formula: Amount =Principal ( 1 + r / 100 )n   here r = Rate and n = Time

As consider if Principal is Rs. 1, then the it will be in first year and second and third years.

( 1 + r / 100 )1

( 1 + r / 100 )2

( 1 + r / 100 )3

If the rate of interest is  3%, then the value will be …….

In first year = (23 / 21 )  = 23 / 21.

In second year = ( 23 / 21 )2 = 529 / 441.

In Third year = ( 23 / 21 )3  = 12167 / 9261.

Simple Interest Short Tricks

Find Simple interest based question

Shortcut tricks on simple interest are one of the most important topics in exams. Time is the main factor in competitive exams. If you know time management then everything will be easier for you. Most of us miss that part. Few examples on simple interest shortcuts is given in this page below. We try to provide all types of shortcut tricks on simple interest here. Visitors are requested to carefully read all shortcut examples. These examples here will help you to better understand shortcut tricks on simple interest.

Before starting anything just do a math practice set. Then find out twenty math problems related to this topic and write those on a paper. Using basic math formula do first ten maths of that page. You also need to keep track of timing. Write down the time taken by you to solve those questions. Now practice our shortcut tricks on simple interest and read examples carefully. After doing this go back to the remaining ten questions and solve those using shortcut methods. Again keep track of Timing. This time you will surely see improvement in your timing. But this is not all you want. If you need to improve your timing more then you need to practice more.

Simple Interest And Compound Interest short Tricks

Simple Interest and Compound Interest Shortcut Tricks

Shortcut tricks on simple interest and compound interest are one of the most important topics in exams. Competitive exams are all about time. If you manage your time then you can do well in those exams. Most of us skip that part. Here in this page we give few examples on Simple Interest and Compound Interest shortcut tricks. We try to provide all types of shortcut tricks on simple interest and compound interest here. We request all visitors to read all examples carefully. These examples will help you to understand shortcut tricks on Simple Interest and Compound Interest.

Before starting anything just do a math practice set. Write down twenty math problems related to this topic on a page. Do first ten maths using basic formula of this math topic. You also need to keep track of Timing. Write down the time taken by you to solve those questions. Now practice our shortcut tricks on simple interest and compound interest and read examples carefully. After finishing this do remaining questions using Simple Interest and Compound Interest shortcut tricks. Again keep track of the time. You will surely see the improvement in your timing this time. But this is not enough. You need to practice more to improve your timing more.

Profit and loss example 1

Profit and Loss Example 1

 

Profit and Loss shortcut tricks are very important thing to know for your exams. Competitive exams are all about time. If you know how to manage time then you will surely do great in your exam. Most of us miss that part. We provide examples on Profit and Loss shortcut tricks here in this page below. All tricks on profit and loss are provided here. Visitors please read carefully all shortcut examples. These examples here will help you to better understand shortcut tricks on profit and loss.

 

Before starting anything just do a math practice set. Write down twenty math problems related to this topic on a page. Using basic math formula do first ten math of that page. You also need to keep track of the time. After solving all ten math questions write down total time taken by you to solve those questions. Now go through our page for profit and loss shortcut trick. After doing this go back to the remaining ten questions and solve those using shortcut methods. Again keep track of the time. You will surely see the improvement in your timing this time. But this is not all you need. If you need to improve your timing more then you need to practice more.

Find Cost price profit and loss Short Tricks

Find cost price Profit and Loss Shortcut tricks

Shortcut Tricks are very important things in competitive exam. Time is the main factor in competitive exams. If you manage your time then you can do well in those exams. Most of us miss that part. Here in this page we give few examples on Cost price Profit and Loss shortcut tricks. We try to provide all types of shortcut tricks on cost price profit and loss here. Visitors are requested to carefully read all shortcut examples. These examples will help you to understand shortcut tricks on Cost price Profit and Loss.

 

Before doing anything we recommend you to do a math practice set. Choose any twenty math problems and write it down on a page. Do first ten math using basic formula of this math topic. You also need to keep track of Timing. After finish write down total time taken by you to solve those ten math. Now practice our shortcut tricks on cost price profit and loss and read examples carefully. After this do remaining ten questions and apply shortcut formula on those math problems. Again keep track of the time. This time you will surely see improvement in your timing. But this is not all you need. If you need to improve your timing more then you need to practice more.

Find Selling price profit and loss Short Tricks

Find selling Price Profit and Loss Shortcut tricks

 

Selling Price Profit and Loss shortcut tricks are very important thing to know for your exams. Competitive exams are all about time. If you know how to manage time then you will surely do great in your exam. Most of us miss this thing. We provide examples on Selling Price Profit and Loss shortcut tricks here in this page below. We try to provide all types of shortcut tricks on selling price profit and loss here. Visitors please read carefully all shortcut examples. You can understand shortcut tricks on Selling Price Profit and Loss by these examples.

 

Before starting anything just do a math practice set. Then find out twenty math problems related to this topic and write those on a paper. Solve first ten math problems according to basic math formula. You also need to keep track of timing. Write down the time taken by you to solve those questions. Now go through our page for selling price profit and loss shortcut trick. After finishing this do remaining questions using Selling Price Profit and Loss shortcut tricks. Again keep track of timing. You will surely see the improvement in your timing this time. But this is not all you want. You need more practice to improve your timing more.

Loss Percent Short Tricks

Loss percent Shortcut tricks

 

Loss percent shortcut tricks are very important thing to know for your exams. Time is the main factor in competitive exams. If you manage your time then you can do well in those exams. Most of us skip that part. Few examples on loss percent shortcuts is given in this page below. We try to provide all types of shortcut tricks on loss percent here. Visitors are requested to carefully read all shortcut examples. You can understand shortcut tricks on Loss percent by these examples.

 

First of all do a practice set on math of any exam. Then find out twenty math problems related to this topic and write those on a paper. Solve first ten math problems according to basic math formula. You also need to keep track of the time. After finish write down total time taken by you to solve those ten math. Now read our examples on loss percent shortcut tricks and practice few questions. After this do remaining ten questions and apply shortcut formula on those math problems. Again keep track of the time. This time you will surely see improvement in your timing. But this is not all you need. You need to practice more to improve your timing more.

Profit or gain Percent short tricks

Profit or Gain percent Shortcut tricks

 

Profit or Gain percent shortcut tricks are very important thing to know for your exams. Time takes a huge part in competitive exams. If you know time management then everything will be easier for you. Most of us miss that part. Here in this page we give few examples on Profit or Gain percent shortcut tricks. We try to provide all types of shortcut tricks on profit or gain percent here. Visitors are requested to carefully read all shortcut examples. These examples will help you to understand shortcut tricks on Profit or Gain percent.

 

Before doing anything we recommend you to do a math practice set. Choose any twenty math problems and write it down on a page. Solve first ten math problems according to basic math formula. You also need to keep track of timing. Write down the time taken by you to solve those questions. Now read our examples on profit or gain percent shortcut tricks and practice few questions. After doing this go back to the remaining ten questions and solve those using shortcut methods. Again keep track of the time. The timing will be surely improved this time. But this is not enough. You need to practice more to improve your timing more.

Profit And Loss Short Tricks

Profit and Loss Shortcut Tricks

 

Shortcut tricks on profit and loss are one of the most important topics in exams. Competitive exams are all about time. If you know how to manage time then you will surely do great in your exam. Most of us skip that part. Few examples on profit and loss shortcuts is given in this page below. All tricks on profit and loss are provided here. Visitors are requested to carefully read all shortcut examples. These examples here will help you to better understand shortcut tricks on profit and loss.

First of all do a practice set on math of any exam. Then find out twenty math problems related to this topic and write those on a paper. Do first ten math using basic formula of this math topic. You also need to keep track of timing. After finish write down total time taken by you to solve those ten math. Now go through our page for profit and loss shortcut trick. After doing this go back to the remaining ten questions and solve those using shortcut methods. Again keep track of timing. This time you will surely see improvement in your timing. But this is not all you want. If you need to improve your timing more then you need to practice more.

 

Math section in a competitive exam is the most important part of the exam. It doesn’t mean that other topics are not so important. But if you need a good score in exam then you have to score good in math. A good score comes with practice and practice. You should do your math problems within time with correctness, and this can be achieved only by using shortcut tricks. Again it does not mean that you can’t do math without using shortcut tricks. You may do math problems within time without using any shortcut tricks. You may have that potential. But so many other people may not do the same. Here we prepared profit and loss shortcut tricks for those people. Here in this page we try to put all types of shortcut tricks on Profit and Loss. But we may miss few of them. If you know anything else rather than this please do share with us. Your help will help others.

Now we will discuss some basic ideas of Profit and Loss. On the basis of these ideas we will learn trick and tips of shortcut profit and loss. If you think that how to solve profit and loss questions using profit and loss shortcut tricks, then further studies will help you to do so.

Profit and Loss Shortcut tricks:

Before going to chapter we are follow some important facts and formula without this we are not able to calculate any profit or loss on any articles using shortcut tricks. when we purchase some item and then sell it we make profit or loss some time it depends on the cost price and selling price of an particular item. This type of problem are given in Quantitative Aptitude which is a very essential paper in banking exam. Under below  given some more example for your better practice.

Anything we learn in our school days was basics and that is well enough for passing our school exams. Now the time has come to learn for our competitive exams. For this we need our basics but also we have to learn something new. That’s where shortcut tricks are comes into action .

    C P ( Cost Price ):

    The Price at which an particular item or article is purchased, is called its cost price or In short called C P. Cost price is amount of money goes out from us when purchase any article or any particular item.

    SP ( Selling Price ):

    The price at which an particular item or article is sold, called its selling price or In short called SP.

    Selling Price is a amount of money came in when selling by any thing.

    Profit or Gain:

    If S.P ( Selling Price ) of an item is more than C.P ( Cost Price ), then vendor is said to have a profit or gain.

    Loss:

    If S.P ( Selling Price ) of an item is less than C.P ( Cost Price ), the vendor said to have a loss.

    Marked Price :

    When we purchase any item we saw the label on it as price or marked Price and that is said to be MP ( Marked Price ).

Some important formulas:

 

    Selling price is more then cost price is called Gain.

    Gain = (S.P) – (C.P)

    15% Profit on item that means,

    Cost price 100%

    Selling Price 115%

    Profit 15%

    If Cost price is  more then Selling price is called Loss.

    Loss = ( C.P ) – ( S.P )

    15% Loss on article that means,

    Cost price 100%

    Selling Price 85%

    Loss 15%

    3. Profit and Loss is always calculated on C.P ( Cost Price ).

Here is some profit and loss shortcut tricks sub link of Examples which help you better understanding.

Different types of Profit and Loss Shortcut Tricks

 

    Profit or Gain percent Shortcut tricks

    Loss percent Shortcut tricks

    Find selling Price Profit and Loss Shortcut tricks

    Find cost price Profit and Loss Shortcut tricks

    Profit and Loss Example 1

Percentage calculation on population short tricks

Percentage calculation on population Shortcut Tricks

 

Shortcut Tricks are very important things in competitive exam. Time is the main factor in competitive exams. If you know how to manage time then you will surely do great in your exam. Most of us miss this thing. Here in this page we give few examples on Percentage calculation on population shortcut tricks. These shortcut tricks cover all sorts of tricks on Percentage calculation on population. Visitors please read carefully all shortcut examples. These examples here will help you to better understand shortcut tricks on percentage calculation on population.

First of all do a practice set on math of any exam. Then find out twenty math problems related to this topic and write those on a paper. Do first ten math using basic formula of this math topic. You also need to keep track of timing. Write down the time taken by you to solve those questions. Now go through our page for percentage calculation on population shortcut trick. After finishing this do remaining questions using Percentage calculation on population shortcut tricks. Again keep track of Timing. The timing will be surely improved this time. But this is not all you need. You need to practice more to improve your timing more.

Percentage Type 3 short trick

Percentage Type 3 short tricks:

 

Percentage is a very important chapter and it uses most chapters for calculation. Percentage Type3 Shortcut Tricks is based on, to find the amount spent, percentage of a expenditure of a particular person whose different expenses are given in percent form from saving and according with that.

At first we need to follow some traditional rule then we go through the shortcut tricks. This type of problem are given in Quantitative Aptitude which is a very essential paper in banking exam. Under below  given some more example for your better practice.

when we say 100 percent in mathematical notation we write 100% so 35 % means 35 per 100 and 65% means 65 per 100 it is a proportion per hundred and it is used to find marks, profit percent or loss percent of a particular product. It is also used in find out the depreciation at the rate percent per annul.

we can expressed ration number as percent, Here is some different percent related problems are given with shortcut tricks below.

Percentage Type 2 Short Tricks

Percentage Type 2 Shortcut Tricks

Percentage is a very important chapter and it uses most chapters for calculation. Percentage Type2 Shortcut Tricks is based on, to find the percentage of a particular person whose income given in percent form equal to number and according with that is obtain the 1 / 5 come etc.

So At first we need to follow some traditional rule then we go through the shortcut tricks. This type of problem are given in Quantitative Aptitude which is a very essential paper in banking exam. Under below  given some more example for your better practice.

 

In percentage Type 2 shortcut tricks here problems are related with income of a person and salary that is increased by some percent or decreased by some amount of percent or monthly expenses or income related problems.

We also give some examination related problem where student pass or fail with some score marks after that whether the student appear or not related problem.

Shortcut tricks on percentage are one of the most important topics in exams. Time is the main factor in competitive exams. If you know how to manage time then you will surely do great in your exam. Most of us skip that part. We provide examples on Percentage shortcut tricks here in this page below. These shortcut tricks cover all sorts of tricks on Percentage. Visitors please read carefully all shortcut examples. These examples here will help you to better understand shortcut tricks on percentage.

Before starting anything just do a math practice set. Write down twenty math problems related to this topic on a page. Do first ten math using basic formula of this math topic. You also need to keep track of timing. After solving all ten math questions write down total time taken by you to solve those questions. Now practice our shortcut tricks on percentage and read examples carefully. After doing this go back to the remaining ten questions and solve those using shortcut methods. Again keep track of Timing. The timing will be surely improved this time. But this is not all you want. You need to practice more to improve your timing more.

Percentage Type 1 Short Tricks

Percentage Type 1 short tricks

 

Percentage shortcut tricks are very important thing to know for your exams. Competitive exams are all about time. If you know time management then everything will be easier for you. Most of us skip that part. Few examples on percentage shortcuts is given in this page below. All tricks on percentage are provided here. Visitors please read carefully all shortcut examples. These examples will help you to understand shortcut tricks on Percentage.

Before doing anything we recommend you to do a math practice set. Choose any twenty math problems and write it down on a page. Do first ten math using basic formula of this math topic. You also need to keep track of Timing. After solving all ten math questions write down total time taken by you to solve those questions. Now practice our shortcut tricks on percentage and read examples carefully. After this do remaining ten questions and apply shortcut formula on those math problems. Again keep track of timing. You will surely see the improvement in your timing this time. But this is not all you need. You need more practice to improve your timing more.

You all know that math portion is very much important in competitive exams. That doesn’t mean that other sections are not so important. But if you need a good score in exam then you have to score good in math. You can get good score only by practicing more and more. You should do your math problems within time with correctness, and this can be achieved only by using shortcut tricks. Again it does not mean that you can’t do math without using shortcut tricks. You may have that potential to do math within time without using any shortcut tricks. But so many people can’t do this. For those we prepared this percentage shortcut tricks. We always try to put all shortcut methods of the given topic. But it possible we miss any. We appreciate if you share that with us. Your little help will help so many needy.

Percentage Short Tricks

Percentage Shortcut Tricks

 

Percentage shortcut tricks are very important thing to know for your exams. Competitive exams are all about time. If you know time management then everything will be easier for you. Most of us miss this thing. We provide examples on Percentage shortcut tricks here in this page below. All tricks on percentage are provided here. We request all visitors to read all examples carefully. These examples here will help you to better understand shortcut tricks on percentage.

First of all do a practice set on math of any exam. Write down twenty math problems related to this topic on a page. Solve first ten math problems according to basic math formula. You also need to keep track of the time. After finish write down total time taken by you to solve those ten math. Now read our examples on percentage shortcut tricks and practice few questions. After finishing this do remaining questions using Percentage shortcut tricks. Again keep track of Timing. This time you will surely see improvement in your timing. But this is not enough. You need more practice to improve your timing more.

You all know that math portion is very much important in competitive exams. It doesn’t mean that other topics are not so important. But only math portion can leads you to a good score. Only practice and practice can give you a good score. You should do your math problems within time with correctness, and you can do this only by using shortcut tricks. But it doesn’t mean that you can’t do math problems without using any shortcut tricks. You may have that potential that you may do math within time without using any shortcut tricks. But so many people can’t do this. Here we prepared percentage shortcut tricks for those people. Here in this page we try to put all types of shortcut tricks on Percentage. But if you see any tricks are missing from the list then please inform us. Your help will help others.

Mixed number series Short Tricks

Mixed Series

Mixed Number series is a arrangement of numbers in a certain order. How you know that the given series is mixed series, notice that this  type of series are more then one different order which arranged in alternatively in a single series or created according to any non conventional rule.

Find the accurate number to the blank or ? mark series of numbers using calculation. This type of problem are given in Quantitative Aptitude which is a very essential  in banking exam. Under below  given some more example for your better practice.

 

In mixed Series a mixed number is a combination of number in another way it is not a sequential number series number that you have arranged. In example 1, 111, 220, 438, ?, 1746  where you need to count them in a one step or two step calculation for obtain the difference common result according with the series of mixed numbers .

At first you can calculate missing number in mixed series  and  that you place the actual missing number in the ? or missing place. Be prepared when you calculate differences because it is either one or two step calculation. So when you calculate and get two difference numbers result you need follow some step wise.

Geometric number series Short Tricks

Geometric Series:

 

Geometric Number series is a arrangement of numbers in a certain order, where some numbers are this type of series are based on ascending or descending order of numbers and each continues number is obtain by multiplication or division of the previous number with a static number.

 

we need to observe and find the accurate number to the series of numbers. This type of problem are given in Quantitative Aptitude which is a very essential in banking exam. Under below given some more example for your better practice.

In geometric series number is a combination of number arranged. In example 1) 5, 45, 405, 3645, ? where you need to count them in a one step or two step calculation for obtain the difference common result according with the series of numbers.

 

At first you can calculate missing number in geometric series and that you place the actual missing number in the ? or missing place. Be prepared when you calculate differences because it is either one or two step calculation. So when you calculate and get result of  two difference numbers you need follow some step wise.

Perfect cube number series

Perfect Cube Series

Perfect cube series is a arrangement of numbers in a certain order, where some numbers this Types of Series are based on cube of a number which is in same order and one cube number is missing in that given series.

 

we need to observe and find the accurate number to the series of numbers. This type of problem are given in Quantitative Aptitude which is a very essential paper in banking exam. Under below  given some more example for your better practice.

 

All numbers are arranged in sequence order. we need to observe and find the accurate number to this type series of numbers. Here we learn the perfect cube series of Example.

Perfect Square number series

Perfect Square Series

 

Perfect square series is a arrangement of numbers in a certain order, where some numbers Series are based on square of a number which is in same order you need to place one square number that is missing in that given series, we need to observe and find the accurate number to the series of numbers.

This type of problem are given in Quantitative Aptitude which is a very essential in banking exam. It is simple to work on perfect square root numbers you can easily obtain the result of perfect square number. How you get easily by  Perfect square numbers  missing term by memorize square and square root numbers shortcut tricks .

Number series Short Tricks

Number Series shortcut tricks are very important thing to know for your exams. Time takes a huge part in competitive exams. If you manage your time then you can do well in those exams. Most of us miss that part. Few examples on number series shortcuts is given in this page below. These shortcut tricks cover all sorts of tricks on Number Series. We request all visitors to read all examples carefully. These examples will help you to understand shortcut tricks on Number Series.

 

First of all do a practice set on math of any exam. Choose any twenty math problems and write it down on a page. Solve first ten math problems according to basic math formula. You also need to keep track of timing. After solving all ten math questions write down total time taken by you to solve those questions. Now practice our shortcut tricks on number series and read examples carefully. After finishing this do remaining questions using Number Series shortcut tricks. Again keep track of the time. The timing will be surely improved this time. But this is not enough. If you need to improve your timing more then you need to practice more.

Cube And Cube Root of Seven Digits

Cube and cube root of Seven Digits

 

Shortcut Tricks are very important things in competitive exam. Time is the main factor in competitive exams. If you know time management then everything will be easier for you. Most of us miss that part. We provide examples on Seven digit Cube and cube root shortcut tricks here in this page below. All tricks on seven digit cube and cube root are provided here. We request all visitors to read all examples carefully. These examples will help you to understand shortcut tricks on Seven digit Cube and cube root.

 

First of all do a practice set on math of any exam. Then find out twenty math problems related to this topic and write those on a paper. Do first ten math using basic formula of this math topic. You also need to keep track of timing. After solving all ten math questions write down total time taken by you to solve those questions. Now practice our shortcut tricks on seven digit cube and cube root and read examples carefully. After doing this go back to the remaining ten questions and solve those using shortcut methods. Again keep track of timing. You will surely see the improvement in your timing this time. But this is not all you need. If you need to improve your timing more then you need to practice more.

Cube And Cube Root of Six Digits

Cube And Cube Root Of Six Digits

 

Six digit Cube and cube root shortcut tricks are very important thing to know for your exams. Competitive exams are all about time. If you know time management then everything will be easier for you. Most of us miss that part. We provide examples on Six digit Cube and cube root shortcut tricks here in this page below. We try to provide all types of shortcut tricks on six digit cube and cube root here. Visitors are requested to carefully read all shortcut examples. You can understand shortcut tricks on Six digit Cube and cube root by these examples.

 

First of all do a practice set on math of any exam. Then find out twenty math problems related to this topic and write those on a paper. Using basic math formula do first ten math of that page. You also need to keep track of Timing. Write down the time taken by you to solve those questions. Now read our examples on six digit cube and cube root shortcut tricks and practice few questions. After finishing this do remaining questions using Six digit Cube and cube root shortcut tricks. Again keep track of timing. The timing will be surely improved this time. But this is not all you need. You need more practice to improve your timing more.

Cube And Cube Root of Five Digits

Cube And Cube Root Of Five Digits

 

Shortcut tricks on five digit cube and cube root are one of the most important topics in exams. Time takes a huge part in competitive exams. If you know time management then everything will be easier for you. Most of us skip that part. We provide examples on Five digit Cube and cube root shortcut tricks here in this page below. We try to provide all types of shortcut tricks on five digit cube and cube root here. Visitors are requested to carefully read all shortcut examples. These examples will help you to understand shortcut tricks on Five digit Cube and cube root.

 

Before doing anything we recommend you to do a math practice set. Then find out twenty math problems related to this topic and write those on a paper. Solve first ten math problems according to basic math formula. You also need to keep track of Timing. After solving all ten math questions write down total time taken by you to solve those questions. Now go through our page for five digit cube and cube root shortcut trick. After this do remaining ten questions and apply shortcut formula on those math problems. Again keep track of Timing. This time you will surely see improvement in your timing. But this is not all you want. You need more practice to improve your timing more.

Cube And Cube Root Shortcut Tricks

Cube and Cube Root Shortcut Tricks

 

Shortcut tricks on cube and cube root are one of the most important topics in exams. Time is the main factor in competitive exams. If you know time management then everything will be easier for you. Most of us miss that part. We provide examples on Cube and Cube Root shortcut tricks here in this page below. All tricks on cube and cube root are provided here. We request all visitors to read all examples carefully. You can understand shortcut tricks on Cube and Cube Root by these examples.

Before starting anything just do a math practice set. Then find out twenty math problems related to this topic and write those on a paper. Solve first ten math problems according to basic math formula. You also need to keep track of timing. Write down the time taken by you to solve those questions. Now go through our page for cube and cube root shortcut trick. After finishing this do remaining questions using Cube and Cube Root shortcut tricks. Again keep track of Timing. You will surely see the improvement in your timing this time. But this is not all you want. You need to practice more to improve your timing more.
 

We all know that the most important thing in competitive exams is Mathematics. It doesn’t mean that other topics are not so important. But if you need a good score in exam then you have to score good in math. A good score comes with practice and practice. You should do your math problems within time with correctness, and you can do this only by using shortcut tricks. But it doesn’t mean that without using shortcut tricks you can’t do any math problems. You may do math problems within time without using any shortcut tricks. You may have that potential. But other peoples may not do the same. So Cube and Cube Root shortcut tricks here for those people. Here in this page we try to put all types of shortcut tricks on Cube and Cube Root. But it possible we miss any. We appreciate if you share that with us. Your help will help others.
 

Cube and Cube Root both are very important in any competitive exams. Without remembering this you can’t survive in exam hall. As all competitive exams are very tightly bound with time, so you don’t have much time to spend on calculating cubes. If you remember this then it will put a great impact on your exam for sure. Here in this topic we will discuss few shortcut tricks on Cube and Cube Root.

Anything we learn in our school days was basics and that is well enough for passing our school exams. Now the time has come to learn for our competitive exams. For this we need our basics but also we have to learn something new. That’s where shortcut tricks are comes into action.

Now we will discuss some basic ideas of Cube and Cube Root. On the basis of these ideas we will learn trick and tips of shortcut cube and cube root. If you think that how to solve cube and cube root questions using cube and cube root shortcut tricks, then further studies will help you to do so.

It will help you to remember this things and we provide you some examples with sub link that help you better understanding. We can write product of three factor of  natural numbers as Cube.

Example: A = b x b x b
A is integer natural number.         

                                            The Cube Root Of A Number

1 is the cube root of 1    1 x 1 x 1 = 1
2 is the cube root of 8    2 x 2 x 2 = 8

3 is the cube root of 27    3 x 3 x 3 = 27
4 is the cube root of 64    4 x 4 x 4 = 64

5 is the cube root of 125    5 x 5 x 5 = 125
6 is the cube root of 216    6 x 6 x 6 = 216
7 is the cube root of 343    7 x 7 x 7 = 343
8 is the cube root of 512    8 x 8 x 8 = 512
9 is the cube root of 729    9 x 9 x 9 = 729

10 is the cube root of 1,000    10 x 10 x 10 = 1,000

11 is the cube root of 1,331    11 x 11 x 11 = 1,331
12 is the cube root of 1,728    12 x 12 x 12 = 1,728
13 is the cube root of 2,197    13 x 13 x 13 = 2,197
14 is the cube root of 2,744    14 x 14 x 14 = 2,744
15 is the cube root of 3,375    15 x 15 x 15 = 3,375

and so on

 

Here is some Example of cube and cube root sub link which help you better understanding.

 

    Find Five digit Cube and cube root Tricks
    Find Six digit Cube and cube root Tricks
    Find Seven digit Cube and cube root Tricks

Square And Square Root of number ending with 6

Square and Square root of a number ending with 6 shortcut tricks

 

Shortcut tricks on square and square root of a number ending with 6 are one of the most important topics in exams. Time takes a huge part in competitive exams. If you manage your time then you can do well in those exams. Most of us skip that part. Few examples on square and square root of a number ending with 6 shortcuts is given in this page below. These shortcut tricks cover all sorts of tricks on Square and Square root of a number ending with 6. Visitors please read carefully all shortcut examples. These examples here will help you to better understand shortcut tricks on square and square root of a number ending with 6.

 

Before starting anything just do a math practice set. Then find out twenty math problems related to this topic and write those on a paper. Solve first ten math problems according to basic math formula. You also need to keep track of timing. After finish write down total time taken by you to solve those ten math. Now practice our shortcut tricks on square and square root of a number ending with 6 and read examples carefully. After doing this go back to the remaining ten questions and solve those using shortcut methods. Again keep track of the time. You will surely see the improvement in your timing this time. But this is not enough. You need more practice to improve your timing more.

 

Math section in a competitive exam is the most important part of the exam. That doesn’t mean that other sections are not so important. You can get a good score only if you get a good score in math section. You can get good score only by practicing more and more. You should do your math problems within time with correctness, and you can do this only by using shortcut tricks. Again it does not mean that you can’t do math without using shortcut tricks. You may have that potential that you may do math within time without using any shortcut tricks. But so many other people may not do the same. So Square and Square root of a number ending with 6 shortcut tricks here for those people. We try our level best to put together all types of shortcut methods here. But if you see any tricks are missing from the list then please inform us. Your little help will help others.

Square and Square root of a number ending with 6 shortcut tricks

Square and Square Root both are very important in any competitive exams. Square and Square Root Shortcut Tricks Without remembering this you can’t survive in exam hall. As all competitive exams are very tightly bound with time, we discuss the using formula and how we get the result of Square and Square root of a number ending with 6.

Example #1 – Square and Square Root of a number ending with 6
76²=?
Step 1: put down 6
Step 2: Multiply 2 with (7 + 1) = 16 and add 16 +1 = 17.put down 7 and carry 1 .
Step 3: Multiply 7 with (7 + 1) = 56 + carry 1 = 57 put down 57
Answer : 5776.

Example #2 – Square and Square Root of a number ending with 6
96²=?
Step 1: put down 6
Step 2: Multiply 2 with (9 + 1) = 20 and add 20 + 1 = 21.put down 1 and carry 2 .
Step 3: Multiply 9 with (9 + 1) = 90 + carry 2 = 92 put down 92
Answer : 9216.

Example #3 – Square and Square Root of a number ending with 6
36²=?
Step 1: put down 6
Step 2: Multiply 2 with (3 + 1) = 8 and add 8 +1 = 9.put down 9.
Step 3: Multiply 3 with (3 + 1) = 12 put down 12
Answer : 1296.

Example #4 – Square and Square Root of a number ending with 6
56²=?
Step 1: put down 6
Step 2: Multiply 2 with (5 + 1) = 12 and add 12 +1 = 13. put down 3 and carry 1.
Step 3: Multiply 5 with (5 + 1) = 30 + carry 1 = 31 put down 31
Answer : 3136.

Example #5 – Square and Square Root of a number ending with 6
46²=
Step 1: put down 6
Step 2: Multiply 2 with (4 + 1) = 10 and add 10 +1 = 11. put down 1 and carry 1.
Step 3: Multiply 4 with (4 + 1) = 20 + carry 1 = 21 put down 21
Answer : 2116.

Square And Square Root of 100 Base Method

Square And Square Root of 100 Base Method

 

Square and Square Root of 100 base shortcut tricks are very important thing to know for your exams. Time is the main factor in competitive exams. If you know how to manage time then you will surely do great in your exam. Most of us miss this thing. Here in this page we give few examples on Square and Square Root of 100 base shortcut tricks. We try to provide all types of shortcut tricks on square and square root of 100 base here. Visitors please read carefully all shortcut examples. These examples here will help you to better understand shortcut tricks on square and square root of 100 base.

 

Before starting anything just do a math practice set. Choose any twenty math problems and write it down on a page. Solve first ten math problems according to basic math formula. You also need to keep track of timing. After solving all ten math questions write down total time taken by you to solve those questions. Now read our examples on square and square root of 100 base shortcut tricks and practice few questions. After doing this go back to the remaining ten questions and solve those using shortcut methods. Again keep track of timing. You will surely see the improvement in your timing this time. But this is not all you want. You need more practice to improve your timing more.

 

We all know that the most important thing in competitive exams is Mathematics. That doesn’t mean that other sections are not so important. But only math portion can leads you to a good score. A good score comes with practice and practice. All you need to do is to do math problems correctly within time, and only shortcut tricks can give you that success. Again it does not mean that you can’t do math without using shortcut tricks. You may have that potential to do math within time without using any shortcut tricks. But so many other people may not do the same. For those we prepared this square and square root of 100 base shortcut tricks. We always try to put all shortcut methods of the given topic. But if you see any tricks are missing from the list then please inform us. Your little help will help so many needy.

Square and Square root using of 100 base method in two steps. Square and Square Root both are very important in any competitive exams. Square and Square Root Shortcut Tricks Without remembering this you can’t survive in exam hall.

As all competitive exams are very tightly bound with time, we discuss the using formula and how we get the result of square and square root of near base 100 using formula, lets how the formula that can easily obtain the answer of Square and Square Root of 100 base.

Square and Square Root of 100 base shortcut tricks method
Now we can use the above method that is 100 base method when the number is near about 100 we apply this method.
let see the example of 100 base method.
Some we can not remember square of 100 base number that my very heard to remember here the less effort is require to remember those square numbers.

Example #1 – Square and Square Root of 100 base
98²=?
Answer :
Step 1: First we know that 98² is double of 98 that is = 98 x 98 = ?,
At first we count the number of less from 100. that is the above 98 is 2 less from 100.
Step 2: Now we are going to multiply 2 x 2 = 4 and note down this 4 ( that are come from both less 98 x 98 from 100).
Step 2: put one Zero left from 4 and now subtract the less number is 2 from 98 that is (98 – 2 )= 96 and the answer is 9604.

Example #2 – Square and Square Root of 100 base
96² = ?
Answer :
Step 1: First we know that 962 is double of 96 that is = 96 x 96 = ?,
At first we count the number of less from 100. that is the above 96 is 4 less from 100.
Step 2: Now we are going to multiply 4 x 4= 16 and note down this 16 ( that are come from both less 96 x 96 from 100).
Step 3: now subtract the less number is 4 from 96 that is ( 96 – 4 ) = 92 and put down it
that is 9261 and the answer is 9216.

Example #3 – Square and Square Root of 100 base
91² = ?
Answer :
Step 1: First we know that 91 is double of 96 that is = 91 x 91 = ?,
At first we count the number of less from 100. that is the above 91 is 9 less from 100.
Step 2: Now we are going to multiply 9 x 9 = 81 and note down this 81 ( that are come from both less 91 x 91 from 100).
Step 3: now subtract the less number is 9 from 91 that is ( 91 – 9 ) = 82 and put down it
that is 8281 and the answer is 8281.

Square And Square Root of three digits

square and Square Root of three digit

 

Shortcut Tricks are very important things in competitive exam. Time takes a huge part in competitive exams. If you know time management then everything will be easier for you. Most of us miss that part. Here in this page we give few examples on Square and Square Root of three digit shortcut tricks. These shortcut tricks cover all sorts of tricks on Square and Square Root of three digit. Visitors please read carefully all shortcut examples. These examples here will help you to better understand shortcut tricks on square and square root of three digit.

 

Before starting anything just do a math practice set. Write down twenty math problems related to this topic on a page. Do first ten math using basic formula of this math topic. You also need to keep track of the time. After finish write down total time taken by you to solve those ten math. Now go through our page for square and square root of three digit shortcut trick. After doing this go back to the remaining ten questions and solve those using shortcut methods. Again keep track of the time. You will surely see the improvement in your timing this time. But this is not all you want. If you need to improve your timing more then you need to practice more.

 

Math section in a competitive exam is the most important part of the exam. That doesn’t mean that other sections are not so important. But if you need a good score in exam then you have to score good in math. You can get good score only by practicing more and more. You should do your math problems within time with correctness, and only shortcut tricks can give you that success. Again it does not mean that you can’t do math without using shortcut tricks. You may do math problems within time without using any shortcut tricks. You may have that potential. But so many other people may not do the same. For those we prepared this square and square root of three digit shortcut tricks. We always try to put all shortcut methods of the given topic. But if you see any tricks are missing from the list then please inform us. Your little help will help others.

Square and Square Root both are very important in any competitive exams. Square and Square Root Shortcut Tricks Without remembering this you can’t survive in exam hall. As all competitive exams are very tightly bound with time, we discuss the using formula and how we get the result of square and square root of three digit using formula 1, lets how the formula that can easily obtain the answer of Square and Square Root of three digit.

We applied this formula to obtain the square of three digit number

Example #1 – Square and Square Root of Three digit get using Formula
Square and Square Root of 114²
Answer :
Firstly we separate the 114 like this (11/4)²
then applied previous formula on it
=11² / 2 x 11 x 4 / 4²
=121 / 2 x 11 x 4 / 16
=121 / 88 / 16
=12996
we apply the formula a² + 2.a.b + b²

Step 1: note down 6 carry 1
Step 2: add carry 1 to 88 =  89, note down 9 carry 8.
Step 3: add carry 8 to 121 and note down 129
= 12996
Note: we can also separate 114 to find square like (1/14)²

Example #2 – Square and Square Root of Three digit get using Formula
Square and Square Root of 223²
Answer :
Firstly we separate the 223 like this(22/3)²
then applied previous formula on it
we apply the formula a² + 2.a.b + b²
= 22² + 2 x 22 x 3 + 3²
=484 / 132 / 9
= 49729

Step 1: note down 9
Step 2:note down 2 carry 13.
Step 3:add carry 13 to 4 = 17, note down 7
Step 4: add carry 1 to 48 = 49 put down

So, the answer is 15625.

Note: All this do on your mind which will help in fast calculation to obtain the answer of Square and Square Root of a number.

Example #3 – Square and Square Root of Three digit get using Formula
Square and Square Root of 125²
Answer :
Firstly we separate the 125 like this(12/5)²
then applied previous formula on it
we apply the formula a² + 2.a.b + b²
= 12 + 2 x 12 x 5 + 5
=144 / 120 / 25

Step 1: note down 5 carry 2.
Step 2: add 2 to 120 note down 2 carry 12.
Step 3: add carry 12 to 4 = 16, note down 6
Step 4: add carry 1 to 14 = 15 put down

So, the answer is 15625.

Square And Square Root of two digit

Square and square Root of Two digits:

 

Square and Square Root of two digit shortcut tricks are very important thing to know for your exams. Time takes a huge part in competitive exams. If you know time management then everything will be easier for you. Most of us miss that part. We provide examples on Square and Square Root of two digit shortcut tricks here in this page below. All tricks on square and square root of two digit are provided here. We request all visitors to read all examples carefully. These examples will help you to understand shortcut tricks on Square and Square Root of two digit.

 

First of all do a practice set on math of any exam. Write down twenty math problems related to this topic on a page. Using basic math formula do first ten math of that page. You also need to keep track of Timing. Write down the time taken by you to solve those questions. Now read our examples on square and square root of two digit shortcut tricks and practice few questions. After finishing this do remaining questions using Square and Square Root of two digit shortcut tricks. Again keep track of the time. This time you will surely see improvement in your timing. But this is not enough. If you need to improve your timing more then you need to practice more.

 

We all know that the most important thing in competitive exams is Mathematics. That doesn’t mean that other topics are less important. You can get a good score only if you get a good score in math section. Only practice and practice can give you a good score. The only thing you need to do is to do your math problems correctly and within time, and only shortcut tricks can give you that success. But it doesn’t mean that you can’t do math problems without using any shortcut tricks. You may do math problems within time without using any shortcut tricks. You may have that potential. But other peoples may not do the same. For those we prepared this square and square root of two digit shortcut tricks. We try our level best to put together all types of shortcut methods here. But if you see any tricks are missing from the list then please inform us. Your little help will help so many needy.

Square and Square Root both are very important in any competitive exams. Square and Square Root Shortcut Tricks Without remembering this you can’t survive in exam hall. As all competitive exams are very tightly bound with time, we discuss the using formula and how we get the result of square and square root, lets how the formula that can easily obtain the answer of Square and Square Root.

Square and Square Root get using formula

Formula: (a+b)² = a²+2ab+b² i.e, (a / b)²= a² / 2ab / b²
we applied this formula to obtain the square of a number

Example #1 – Square and Square Root using Formula
( 57 )²
= ( 5 / 7 )²
Answer :
Apply formula of a²+2ab+b²
Consider,
57² = ?
A as 5
B as 7 (we break the number in two parts i.e, A as 5 and B as 7 and applied formula )
= 5² / 2 x 5 x 7 / 7²
= 25 / 2 x 5 x 7 / 49
a²= 25
b²= 49
2ab = 2 x 5 x 7 = 70
= 25 / 70 / 49
Step 1: Put down 9 carry 4
Step 2: add carry 4 to 70 = 74 put down 4 carry 7
Step 3: add carry 7 to 25 = 32 put down 32
So, answer is 3249,

All this do on your mind which will help in fast calculation to obtain the answer of Square and Square Root of a number.
we applied this formula to obtain the square of a number.

Example #2 – Square and Square Root using Formula
(69)²
= (6/9)²
Answer :
Consider A as 6, and B as 9.
= 6² / 2 x 6 x 9 / 9²
= 36 / 2 x 6 x 9 / 81 (we break the number in two parts i.e, A as 6 and B as 9 and applied formula )
a² = 36
b²= 81
2ab = 2 x 6 x 9 = 108
=36 / 108 / 81

Step1: put down 1 carry 8
Step2 : add 8 to 108 =116 then put down 6 carry 11
Step3 : and add 11 to 36 = 47 and put down 47
=So, answer is 4761,
Note: All this do on your mind which will help in fast calculation to obtain the answer of Square and Square Root of a number.

Example #3 – Square and Square Root using Formula

(84)²
= (8/4)²
Answer :
Consider A as 8, and B as 4.
= 8²/ 2 x 8 x 4 / 4²
= 64 / 2 x 8 x 4 / 16 (we break the number in two parts i.e, A as 8 and B as 4 and applied formula )
a² = 64
b² = 16
2ab = 2 x 8 x 4 = 64
=64 / 64 / 16

Step 1: put down 6 carry 1
Step 2 : add 1 to 64 = 65 then put down 5 carry 6
Step 3 : and add 6 to 64 = 70 and put down 70
So, answer is 7056,

Square And Square Root Short Tricks

Square and Square Root Shortcut Tricks

 

Square and Square Root both are very important in any competitive exams. Square and Square Root Shortcut Tricks Without remembering this you can’t survive in exam hall. As all competitive exams are very tightly bound with time, so you don’t have much time to spend on calculating squares.

Anything we learn in our school days was basics and that is well enough for passing our school exams. Now the time has come to learn for our competitive exams. For this we need our basics but also we have to learn something new. That’s where shortcut tricks are comes into action. If you remember this then it will put a great impact on your exam for sure. Here in this topic we will discuss few shortcut tricks on Square and Square Root. It will help you to remember fast calculation in big problem using this. So here is some way of Square Tricks.

 

Shortcut tricks on square and square root are one of the most important topics in exams. Time takes a huge part in competitive exams. If you know how to manage time then you will surely do great in your exam. Most of us skip that part. Here in this page we give few examples on Square and Square Root shortcut tricks. All tricks on square and square root are provided here. We request all visitors to read all examples carefully. These examples will help you to understand shortcut tricks on Square and Square Root.

 

First of all do a practice set on math of any exam. Write down twenty math problems related to this topic on a page. Solve first ten math problems according to basic math formula. You also need to keep track of Timing. After finish write down total time taken by you to solve those ten math. Now go through our page for square and square root shortcut trick. After this do remaining ten questions and apply shortcut formula on those math problems. Again keep track of the time. You will surely see the improvement in your timing this time. But this is not all you want. If you need to improve your timing more then you need to practice more.

We all know that the most important thing in competitive exams is Mathematics. That doesn’t mean that other sections are not so important. But if you need a good score in exam then you have to score good in math. Only practice and practice can give you a good score. All you need to do is to do math problems correctly within time, and you can do this only by using shortcut tricks. But it doesn’t mean that without using shortcut tricks you can’t do any math problems. You may do math problems within time without using any shortcut tricks. You may have that potential. But so many other people may not do the same. So Square and Square Root shortcut tricks here for those people. We try our level best to put together all types of shortcut methods here. But if you see any tricks are missing from the list then please inform us. Your little help will help so many needy.

Now we will discuss some basic ideas of Square and Square Root. On the basis of these ideas we will learn trick and tips of shortcut square and square root. If you think that how to solve square and square root questions using square and square root shortcut tricks, then further studies will help you to do so.

 

Square up to 100:

 

1 x 1 = 1	21 x 21 = 441	41 x 41 = 1,681	61 x 61 = 3,721	81 x 81 = 6,561
2 x 2 = 4	22 x 22 = 484	42 x 42 = 1,764	62 x 62 = 3,844	82 x 82 = 6,724
3 x 3 = 9	23 x 23 = 529	43 x 43 = 1,849	63 x 63 = 3,969	83 x 83 = 6,889
4 x 4 = 16	24 x 24 = 576	44 x 44 = 1,936	64 x 64 = 4,096	84 x 84 = 7,056
5 x 5 = 25	25 x 25 = 625	45 x 45 = 2,025	65 x 65 = 4,225	85 x 85 = 7,225
6 x 6 = 36	26 x 26 = 676	46 x 46 = 2,116	66 x 66 = 4,356	86 x 86 = 7,396
7 x 7 = 49	27 x 27 = 729	47 x 47 = 2,209	67 x 67 = 4,489	87 x 87 = 7,569
8 x 8 = 64	28 x 28 = 784	48 x 48 = 2,304	68 x 68 = 4,624	88 x 88 = 7,744
9 x 9 = 81	29 x 29 = 841	49 x 49 = 2,401	69 x 69 = 4,761	89 x 89 = 7,921
10 x 10 = 100	30 x 30 = 900	50 x 50 = 2,500	70 x 70 = 4,900	90 x 90 = 8,100
11 x 11 = 121	31 x 31 = 961	51 x 51 = 2,601	71 x 71 = 5,041	91 x 91 = 8,281
12 x 12 = 144	32 x 32 = 1,024	52 x 52 = 2,704	72 x 72 = 5,184	92 x 92 = 8,464
13 x 13 = 169	33 x 33 = 1,089	53 x 53 = 2,809	73 x 73 = 5,329	93 x 93 = 8,649
14 x 14 = 196	34 x 34 = 1,156	54 x 54 = 2,916	74 x 74 = 5,476	94 x 94 = 8,836
15 x 15 = 225	35 x 35 = 1,225	55 x 55 = 3,025	75 x 75 = 5,625	95 x 95 = 9,025
16 x 16 = 256	36 x 36 = 1,296	56 x 56 = 3,136	76 x 76 = 5,776	96 x 96 = 9,216
17 x 17 = 289	37 x 37 = 1,369	57 x 57 = 3,249	77 x 77 = 5,929	97 x 97 = 9,409
18 x 18 = 324	38 x 38 = 1,444	58 x 58 = 3,364	78 x 78 = 6,084	98 x 98 = 9,604
19 x 19 = 361	39 x 39 = 1,521	59 x 59 = 3,481	79 x 79 = 6,241	99 x 99 = 9,801
20 x 20 = 400	40 x 40 = 1,600	60 x 60 = 3,600	80 x 80 = 6,400	100 x100 = 10,

 

 

We have to need all this are memorized in our mind, that help in calculation faster, So after 50

you no need to remember square of numbers, you get square numbers after 50 easily by a formula.

We are know the formula that can easily obtain the answer of Square and Square Root of a number.

 

Here is some examples of square and square root link given below for your better understanding.

 

    Square and Square Root of two digit
    Square and Square Root of three digit
    Square and Square Root of 100 base
    Square and Square root a number ending in 6

Reasoning Input output practice questions

Study the following information to answer the given questions.

A word and number arrangement machine when given an input line of words and numbers rearrange them following a particular rule. The following is an illustration of input and rearrangement. (Single digit numbers are preceded by a zero. All other numbers are two digit numbers )

Input :      whether 15 wish you 08 being 48 come 68 hour 124 86

Step I. :     being whether 15 wish you 08 48 come 68 hour 124 86

Step II.     being 08 whether 15 wish you 48 come 68 hour 124 86

Step III.    being 08 come whether 15 wish you 48 68 hour 124 86

Step IV.    being 08 come 15 whether wish you 48 68 hour 124 86

Step V.      being 08 come 15 hour whether wish you 48 68 124 86

Step VI.    being 08 come 15 hour 48 whether wish you 68 124 86

Ste VII.     being 08 come 15 hour 48 whether 68 wish you 124 86

Step VIII. being 08 come 15 hour 48 whether 68 wish 86 you 124 

Step VIII is the last step of the arrangement of the above input as the intended arrangement is obtained.As per the rules followed in the above steps, find out in each of the following questions the appropriate steps for the given input.