## Shortcut to find Square Root of any Number

In every competitive exam, there is at least one instance where you will have to find the square root of a number quickly. With the help of this shortcut on how to find the square root of a number, you will be able to find out the square root of any number within seconds. This method is applicable only for perfect squares. Square root questions asked in competitive exams/bank exams are usually perfect squares. Refer How to check if a number is a perfect square? to find out if a given number is a perfect square.

### Steps to Find the Square Root of a Number

Step 1: First of all group the number in pairs of 2 starting from the right.

Step 2: To get the ten’s place digit, Find the nearest square (equivalent or greater than or less than) to the first grouped pair from left and put the square root of the square.
Step 3: To get the unit’s place digit of the square root
Remember the following
 If the number ends in Unit’s place digit of the square root 1 1 or 9(10-1) 4 2 or 8(10-2) 9 3 or 7(10-3) 6 4or 6(10-4) 5 5 0 0
Let’s see the logic behind this method to find square root for a better understanding
We know,
12=1
22=4
32=9
42=16
52=25
62=36
72=49
82=64
92=81
102=100
Now, observe the unit’s place digit of all the squares.
Do you find anything common?
We notice that,
Unit’s place digit of both 12and 9is 1.
Unit’s place digit of both 22 and 82 is 4
And Unit’s place digit of both 32 and 72 is 9
Unit’s place digit of both 42 and 62 is 6.

Step 4: Multiply the ten’s place digit (found in step 1) with its consecutive number and compare the result obtained with the first pair of the original number from left.
Remember,
If the first pair of the original number > Result obtained on multiplication then select the greater number out of the two numbers as the unit’s place digit of the square root.
If the first pair of the original number < the result obtained on multiplication, then select the lesser number out of the two numbers as the unit’s place digit of the square root.
Let us consider an example to get a better understanding of the method

### Shortcut to find the square root of a 3 Digit Number

#### Example 1: √784=?

Step 1: We start by grouping the numbers in pairs of two from the right as follows
7 84

Step 2: To get the ten’s place digit,
We find that nearest square to the first group (7) is 4 and √4=2
Therefore, ten’s place digit=2.

Step 3: To get the unit’s place digit,
We notice that the number ends with 4, So the unit’s place digit of the square root should be either 2 or 8(Refer table).

Step 4: Multiplying the ten’s place digit of the square root that we arrived at in step 1(2) and its consecutive number(3) we get,
2 x 3=6

ten’s place digit of original number > Multiplication result

7>6

So we need to select the greater number (8) as the unit’s place digit of the square root.

Unit’s place digit =8

Ans:√784=28

### Shortcut to find the square root of any 4 digit number

#### Example 2: √3721?

Step 1: We start by grouping the numbers in pairs of two from the right as follows
37 21

Step 2: To get the ten’s place digit,
We find that nearest square to the first group (37)is 36 and√36=6
Therefore ten’s place digit=6

Step 3: To get the unit’s place digit,
We notice that the number ends with 1, So the unit’s place digit of the square root should be either 1 or 9(Refer table).

Step 4: Multiplying the ten’s place digit of the square root that we arrived at in step 1(6) and its consecutive number(7) we get,
6 x 7=42

ten’s place digit of an original number<Multiplication result

37 < 42

So we need to select the lesser number (1) as the unit’s place digit of the square root.

Unit’s place digit =1

Ans:√3721=61

## How to find square root shortcut

#### Example 3: √6889?

Step 1: We start by grouping the numbers in pairs of two from the right as follows
68 89

Step 2: To get the ten’s place digit,
We find that nearest square to the first group (68)is 64 and√64=8
Therefore ten’s place digit=8

Step 3: To get the unit’s place digit,
We notice that the number ends with 9, So the unit’s place digit of the square root should be either 3 or 7(Refer table).

Step 4: Multiplying the ten’s place digit of the square root that we arrived at in step 1(8) and its consecutive number(9) we get,
8 x 9 =72

ten’s place digit of an original number<Multiplication result

68 < 72

So we need to select the lesser number (3) as the unit’s place digit of the square root.

Unit’s place digit =3

Ans:√6889=83

### Shortcut to find the square root of any 5 digit number

#### Example 4: √64516

Step 1: We start by grouping the numbers in pairs of two from the right as follows
645 16

Step 2: To get the ten’s place digit,
We find that nearest square to the first group (645)is 625 and√625=25
Therefore ten’s place digit=25

Step 3: To get the unit’s place digit,
We notice that the number ends with 6, So the unit’s place digit of the square root should be either 4 or 6(Refer table).

Step 4: Multiplying the ten’s place digit of the square root that we arrived at in step 1(25)and its consecutive number(26)we get,
25 x 26=650

ten’s place digit of an original number<Multiplication result

645< 650

So we need to select the lesser number (4) as the unit’s place digit of the square root.

Unit’s place digit =4

Ans:√64516=254

### Shortcut to find the square root of any 6 digit number

#### Example 5: √126736

Step 1: We start by grouping the numbers in pairs of two from the right as follows. For a 6 digit number, this is how it should be paired.
1267 36

Step 2: To get the ten’s place digit,
We find that nearest square to the first group (1267)is 1225 and√1225=35
Therefore ten’s place digit=35

Step 3: To get the unit’s place digit,
We notice that the number ends with 6, So the unit’s place digit of the square root should be either 4 or 6(Refer table).

Step 4: Multiplying the ten’s place digit of the square root that we arrived at in step 1(35)and its consecutive number(36)we get,
35 x 36=1260

ten’s place digit of original number>Multiplication result

1267>1260

So we need to select the greater number (6) as the unit’s place digit of the square root.

Unit’s place digit =6

Ans:√126736=356

#### Example 6: √207025

Step 1: We start by grouping the numbers in pairs of two from right as follows. For a 6 digit number, this is how it should be paired.
2070 25

Step 2: To get the tenth place digit,
We find that nearest square to the first group (2070) is 2025 and√2025=45. Therefore ten’s place digit=45

Step 3: To get the unit’s place digit,
We notice that the number ends with 5, So the unit’s place digit of the square root should be 5(Refer table).
Skip all the other steps for a number ending in 5

Unit’s place digit =5

Ans:√207025=455

## Math Tricks for Bank Exams

You can get an edge over others in calculating at lightning speed. We can say “Speed Trills and Speed Scores”holds true for any competitive exam.You are racing against time to answer as many questions as possible in the least time. So here is a list of multiplication tricks, Tricks to find Cube roots and square roots, Squaring tricks, Cubing tricks, division tricks, verification tricks, percentage tricks, Subtraction tricks and Data Interpretation tricks that you can use to ace in bank exams. I have listed all the tricks that can be used as per scenario. However, if you learn even a handful of these tricks you will be ahead in the competition.

Let us now quickly jump into the tricks.

## Math Tricks – Multiplication tricks

(1) Shortcut to multiply any 2digit by 2digit

This is a basic multiplication trick that you can use to multiply any 2 digit numbers from 10 to 99. It will take just 5 secs to multiply using this trick.
Learn the trick here Shortcut to multiply any 2digit by 2digit

(2)Shortcut to multiply any 2 digit number by 125

When you know that the given number is exactly divisible by 8, this is trick you should use to mentally multiply the number by 125. Learn the trick here Shortcut to multiply any 2 digit number by 125

(3)Shortcut to multiply any 2 digit number by 15

If the given number is easily divisible by 2, use this trick to multiply by 15 in less than 2 secs. Learn the trick here Shortcut to multiply any 2 digit number by 15

(4)Shortcut to multiply any 2 digit number by 11

Usually, a number will be given in the exam that is to be multiplied by 11 and the problem is not resolved here. It is just 1 part of the complex math problem given. In such problems, you can use this trick to save lot of time. It hardly takes 1 sec to get answer using this trick. Learn the trick here Shortcut to multiply any 2 digit number by 11

(5)Shortcut to multiply any 2 digit number by 111

If you have learnt the shortcut to multiply a 2 digit number by 11, then this trick is cakewalk for you. There is just a slight modification to the initial trick. Saving a second here and there gives you more time to solve more questions. Learn the trick here Shortcut to multiply any 2 digit number by 111

(6)Shortcut to multiply any number from 10-19 by 5

This trick works on the method of assuming convenient base closest to the number between 10 to 19. Assuming the correct base will make your calculation easier. Learn the trick here Shortcut to multiply any number from 10-19 by 5

(7)Shortcut to multiply any number from 20-29 by 5

If you learnt shortcut to multiply a number from 10 to 19 by 5, then this trick is simple. Only the number assumed as base will change. Learn the trick here Shortcut to multiply any number from 20-29 by 5

(8)Shortcut to multiply any number from 30-39 by 5

If you learnt shortcut to multiply a number from 20 to 29 by 5, then this trick is easy. Only the number assumed as base will change. Learn here Shortcut to multiply any number from 30-39 by 5

(9)Shortcut to multiply any number from 40-49 by 5

If you learnt shortcut to multiply a number from 30 to 39 by 5, then this trick is simple to apply to solve your math problems . Only the number assumed as base will change. Learn here Shortcut to multiply any number from 40-49 by 5

(10)Shortcut to multiply any number from 50-59 by 5

If you learnt shortcut to multiply a number from 40 to 49 by 5, then this trick is quite simple. Only the number assumed as base will change. Learn here Shortcut to multiply any number from 50-59 by 5

(11)Shortcut to multiply any number from 60-69 by 5

If you learnt shortcut to multiply a number from 50 to 59 by 5, then this trick is simple. Only the number assumed as base will change. Learn here Shortcut to multiply any number from 60-69 by 5

(12)Shortcut to multiply any number from 70-79 by 5

If you learnt shortcut to multiply a number from 60 to 69 by 5, then this trick is easy to learn. Only the number assumed as base will change. Learn here Shortcut to multiply any number from 70-79 by 5

(13)Shortcut to multiply any number from 80-89 by 5

If you learnt shortcut to multiply a number from 70 to 79 by 5, then this trick is simple. Only the number assumed as base will change. Learn here Shortcut to multiply any number from 80-89 by 5

(14)Multiply any 2 digit number with same ten’s place

When the ten’s place digit is same and the unit’s place digits add up to 10 then you can apply a shortcut trick to easily multiply any 2 digit numbers. Knowing where to apply this trick can make the difference. Learn here Multiply any 2 digit number with same ten’s place

(15)Shortcut to multiply 2 numbers whose difference is 2

This trick is especially effective to use when you know the square of the number in between the 2 numbers. Learn here Shortcut to multiply 2 numbers whose difference is 2

(16)How to multiply any two 3 digit number close to 100

This trick can be applied when the 2 given numbers are closer to 100. You can multiply mentally in seconds. How amazing is that? Learn here How to multiply any two 3 digit number close to 100

(17)Vedic math trick to multiply any 3 digit by 3 digit

This is a basic 3 digit multiplication trick. You can multiply any 3 digit number by a 3 digit number in seconds by using this trick rather than using the traditional multiplication method. This is very helpful trick for a person writing any of the competitive exams. Learn here Vedic math trick to multiply any 3 digit by 3 digit

(18)Shortcut to multiply any 3 digit number by 111

If you learnt the shortcut to multiply 2 digit number by 111. Then, there is just 1 more step added to it. And now use this trick to mentally multiply any 3 digit number by 111 in seconds. Learn here Shortcut to multiply any 3 digit number by 111

(19)Shortcut to multiply any number from 10-19 by 6

## Math Tricks – Cube roots and Square roots

(1)Shortcut find cube root of any 5 or 6 digit number

Finding cube root of any number has never been easier. You can now mentally find the cube root of any 4 digit number or 5 digit number or 6 digit number in seconds. Time saved is time earned. You can save a lot of time using this trick. Learn here Shortcut find cube root of any 5 or 6 digit number

(2)Shortcut to find square root of a number

You can ace in your bank exams if you know this trick.You can find the square root of any 4 digit number or 5 digit number or 6 digit number mentally in seconds. What more can you ask for. Check out some of the examples to perfect your skill. Learn here Shortcut to find square root of a number

## Math Tricks – Squaring tricks

(1)Squaring a number ending with 5 in secs

Is it possible to square a number ending a number in less than a second. Yes, you can mentally find the square in less than 1 second if you know this trick. Learn here Squaring a number ending with 5 in secs

(2)Shortcut to square any number from 10-19

Square any number from 10 to 19 in seconds using this trick. Its a simple trick that you can use to mentally find the square. Learn here Shortcut to square any number from 10-19

(3)Shortcut to square any number from 20-29

This trick is similiar to the trick you learnt on “Square any number from 10 to 19”. Just a little variation and you can a square a number from 20-29 mentally in seconds. Learn here Shortcut to square any number from 20-29

(4)Shortcut to square any number from 30-79

This trick is similiar to the trick you learnt on “Square any number from 20 to 29”. Just a little variation and you can a square a number from 30-79 mentally in seconds. Learn here Shortcut to square any number from 30-79

(5)Shortcut to square any number from 90 to 99

This trick is similiar to the trick you learnt on “Square any number from 30 to 79”. Just a little variation and you can a square a number from 90-99 mentally in seconds. Learn here Shortcut to square any number from 90 to 99

(6)Shortcut to square any number from 100-120

This trick works by assuming a base method. Whenever you see a number close to 100, it must strike to you to use this trick to mentally find the square. Learn here Shortcut to square any number from 100-120

## Division tricks

(1)Shortcut to divide any 2 digit number by 5

Here in this trick we will not be dividing the number. Instead we will be doubling the number.Wondering how we can arrive at the answer without dividing. Learn here Shortcut to divide any 2 digit number by 5

(2)Shortcut to divide any 2 digit number by 9

This trick is similiar to the trick used to multiply a 2 digit number by 11. There is just a slight variation to the trick. You can mentally divide any number by 9 in seconds. Learn here Shortcut to divide any 2 digit number by 9

## Verification tricks

(1)How to verify if a number is a perfect cube

Learn how to verify if a number is perfect cube using Prime Factorization Method. It is the method to use to find out if a given number is a perfect cube or not if you want accurate results. Learn here How to verify if a number is a perfect cube

(2)How to verify if a number is a perfect square?

Using the prime factorization method we can find out if a given number is a perfect square or not. Learn here How to verify if a number is a perfect square?

(3) Vedic math trick to check multiplication

This is trick you can use to check if you have multiplied the numbers accurately. Learn here Vedic math trick to check multiplication

## Percentage tricks

(1)Shortcut to find percentage of a number

This is one of the coolest trick which makes math fun. Understand the basic concept of percentages, practice and apply to problems in bank exams. You will love the way you arrive at the answer in seconds mentally. Learn here Shortcut to find percentage of a number

(2)How to convert fraction into percentage

If you already learnt the trick to find percentage of a number, this trick is an extension of the same.Go through the steps and you can mentally convert a fraction to percentage. Learn here How to convert fraction into percentage

## Cubing tricks

(1)Shortcut to cube any number from 1 to 100

Remember the algebraic formula you learnt in school. We are going to manipulate the formula and use it to mentally find the cube of a number in seconds. Learn here Shortcut to cube any number from 1 to 100

## Other Tricks

(1)Finding complement of a number

This is a simple trick using base method to find the complement of numbers from 1 to 1000. Knowing this trick will help you in subtracting any 2 numbers in seconds. Learn here Finding complement of a number

(2)Shortcut to subtract any 5 or 6 digit number in seconds

If you learnt the trick to find compliment of a number, then you can use that to subtract any 5 or 6 digit number in seconds mentally using this trick. Learn here Shortcut to subtract any 5 or 6 digit number in seconds

## Data Interpretation Tricks

(1)Quantitative aptitude for clerical and bank po

In data Interpretation problems, finding average of a product sold in 3 years is a typical question in bank exam. To ace in this, use this trick to find the average number. Learn here Quantitative aptitude for clerical and bank po

(2)Data analysis questions and answers for bank po

Another typical data interpretation question asked in the Bank exams is “In which of the years was the percentage increase in production of company A was minimum from the previous year?”. Such questions can be easily solved using this amazing trick. Learn here Data analysis questions and answers for bank po

(3)Data interpretation trick for bar chart diagrams

Data analysis and interpretation problems are given to test how keenly you can observe things. You can solve a typical question such as “In which year the percentage increase or decrease in the production of company B to that of company A was maximum” in seconds using this trick. Learn here Data interpretation trick for bar chart diagrams

(4)Data interpretation trick to find percentage increase

You can solve another typical data interpretation question such as “percentage increase in the sale of a product in 1 year compared to the other year” in seconds. Learn here Data interpretation trick to find percentage increase

(5)Data interpretation trick for bank PO and clerical exams

You can solve another typical data interpretation question “In which year the percentage increase in the production of a company A to that of company B was minimum?” in seconds. Learn here Data interpretation trick for bank PO and clerical exams

## Basic MS Excel 2007 tutorial Intro

When you click on MS Excel application from your program list the first thing you notice is that a blank sheet.In MSExcel it is commonly called a workbook.Every workbook contains 3 worksheets namely Sheet1,Sheet2,Sheet3 by default.

You can insert or delete or rename or move the sheets which we shall see later.

Now lets take an excel tour to get a sneak peak into the basics of Microsoft Excel.

Here is a sample workbook

(1)Microsoft office button:This is a round button that you can see on the uppermost left corner of the workbook.You can use this to open a new workbook or save.We will be exploring the options under this head in detail in the next lesson.

(2)Quick Acess Toolbar:There is a small bar right next to the Microsoft Office button.You can customise and add frequently used commands to the quick access tool bar so that you access any command at a click.

(3)Title bar:Title bar appears at the top of any worksheet.
By default the 1st sheet you open is named as Book1 which you can rename by saving it with a different name.

(4)Minimise:There is minus(-)like symbol to the topmost right corner of the worksheet which you can use to minimise the window

(5)Maximise/Restore down:Next to the minimise button is a box shaped button which you can use to maximise or restore the window.

(6)Close:Next to Maximise button is Cross(x)sign which you can use to close the window.

(7)Ribbon:The whole area to the bottom of the title bar is the Ribbon.

(8)Tabs:Ribbon is divided into different tabs based on the functions they perform.We have the Home tab,Insert tab,Pagelayout tab,Formulas tab,Data tab, Review tab, View tab.

(9)Groups;All similar type of commands are grouped together into a group.
Ex:Alignment and Number are groups.

(10)Name box:To the left corner below the Ribbon is the name box which shows the active cell/cell reference.

(11)Formula bar:The white area next to fx is the formula bar which you can use to insert formulas.

(12)Vertical scroll bar:To right of the worksheet is the vertical scroll bar which you can use to scroll to see more data on the vertical side.

(13)Horizontal scroll bar:To the bottom right of the worksheet is the horizontalscroll bar which you can use to scroll to see more data on the horizontal side.

(14)Normal View:Below the horizontal scroll bar there is an icon called normal view which you can use to view the worksheet in the normal mode.

(15)Page Layout:Below the horizontal scroll bar there is another icon in the middle called Page Layout which allows you to modify the page layout.

(16)Print Preview:Below the horizontal scroll bar next to Page layout is the Print Preview button which shows you how the worksheet looks when you print it.

## Shortcut to multiply any number from 80-89 by 5

In the previous post we learnt how to multiply any number from 70 to 79 by 5 in seconds.Today we are going to learn another cool trick to multiply any number from 80 to 89 by 5 in seconds.

Let us see the steps

Step 1: Assume the base as 80

Step 2: Multiply the base by 5

Step 3:Multiply the unit place digit by 5

Step 4:Add the results obtained in step 2 and step 3 to get

Now lets consider a few examples to understand better

Example 1:82 x 5 = ?

Step 1:We assume the base as 80.

Step 2:Multiplying the base by 5
We get 80 x 5 = 400

Step 3:Multiplying the unit place digit by 5
We get 2 x 5 =10

Step 4:Adding results obtained in step 2 and step 3
We get 400 + 10 = 410

Ans 82 x 5 =410

Example 2:87 x 5 = ?

Step 1:We assume the base as 80.

Step 2:Multiplying the base by 5
We get 80 x 5 = 400

Step 3:Multiplying the unit place digit by 5
We get 7 x 5 = 35

Step 4:Adding results obtained in step 2 and step 3
We get 400 + 35 = 435

Ans 87 x 5 =435

## Data analysis questions and answers for bank po

Data analysis questions based on graphical interpretation is frequently asked in bank exams. This is a section that every candidate aspiring to join the banking career must aim to score. With these handful tricks you can answer the data analysis questions in seconds. How amazing that sounds right?
It is amazing and an easy trick. Below is one of those typical data analysis questions.
(4)In which of the years was the percentage increase in production of company A was minimum from the previous year?

We shall see how we solve this using the below trick.

## Steps to find percentage increase in production of company A

Step 1:Look at the graph and compare the lengths of the bars of company A for different years.

Step 2:Find out the year where the length of graph is less than its previous year.

We observe the following
(a) Production of company A from 2007 to 2010 shows an increasing trend and from 2010 to 2012 shows a decreasing trend.
(b)We shall consider only 2007 to 2010 ignoring others and start comparing the current year with its previous year

Comparing 2008 and 2007
Number of parts in 2008=3
Number of parts in 2007=1
Increase=2

Comparing 2009 and 2008
Number of parts in 2009=7
Number of parts in 2008=3
Increase=4

Comparing 2010 and 2009
Number of parts in 2010=8
Number of parts in 2009=7
Increase=1

Ans  Percentage Increase in production of company A is minimum in the year 2010 where it has increased by only 1 part compared to the year 2009.