Tuesday, July 5, 2022
Tricks to Calculate Square of a Number quickly
Maths is a very interesting subject. It waves the human knowledge through thinking and calculative powers. Maths is not just for learning but used in day today life, like purchasing something, counting something, exchange of money etc.
There are many problem in maths which we can solve with traditional methods, while it is good way of doing and learning but not for competitive exams. Hence to get better score than others in competitive exams we need to know some useful tricks, which save time as well as boost the score. In Bank PO, if you know some good tips and tricks - shortcuts for quantitative aptitude you will surely score higher than other.
To help you and other bank aspirants in this hub we are going to learn some tricks for calculating squares. We are going to learn how to calculate square of any number quickly. Follow the instructions and steps given below and boost your score in bank exam or other exam where quantitative aptitude will helps you gain score.
Table of Contents
- Square of numbers from 1 to 30
- Square of Numbers ending with 5
- Square of Numbers between 51 to 59
- Get square of Numbers with base 10,100,1000....
- General Formula to find square of any Number
Square of Number 1-30
Number | Square | Number | Square | Number | Square |
|---|---|---|---|---|---|
1 | 1 | 11 | 121 | 21 | 441 |
2 | 4 | 12 | 144 | 22 | 484 |
3 | 9 | 13 | 169 | 23 | 529 |
4 | 16 | 14 | 196 | 24 | 576 |
5 | 25 | 15 | 225 | 25 | 625 |
6 | 36 | 16 | 256 | 26 | 676 |
7 | 49 | 17 | 289 | 27 | 729 |
8 | 64 | 18 | 324 | 28 | 784 |
9 | 81 | 19 | 361 | 29 | 841 |
10 | 100 | 20 | 400 | 30 | 900 |
Find Squares of Numbers ending with 5
One of the easiest things we learn to calculate square of a number which ends in 5. It is very easy to remember and answer comes in no time.
To find square of any number that ends with 5 follow the steps -
- Break the number in two parts - only 5 and rest of the numbers.
- Add one to the rest of numbers (Find successor of the number).
- Multiply the number separated with 5 to it successor.
- Get the square by just putting the number obtain in step 3 and '25' in right of it.
Example 1 : Find square of 45?
We have two part - '4' and '5'. Successor of 4 is 5. Product of the two numbers (4 and it successor, by step 3) we get - 4 X 5 = 20. Hence ans were is 2025 (by step4).
So Square of 45 is 2025.
Example 2 : Find square of 125?
We have - 12 and 5 as two parts. Successor of 12 is 13 and their product is 156. So square of 125 would be 15625.
You can do it in no second just multiply the number before 5 with it successor and put 25 to obtain the squares.
Square of Number with base 10 ,100,1000...
For base 10 square of number is easy to find, as you may remember from the table given above. If you forgot follow the rules which will be given here
We Start with the number having base 100. Let Do this with examples.
- Example 1 : Square of 103?
We are going to find square of number 103 which is a 3 digit number or with base 100. Hence for square we put three places.
Since 103 is 3 more than 100(the base) we add 3 to the number itself. Here we got 103+3=106; This number will be placed to leftmost place (see the figure).
Next Find the square of 3 (as number is 3 more than base) which is 9. We place this to rest of the remaining places we decided. Since 9 is single digit but we have two places left, so add zero before 9 to make it 09.
Now we have 106 is for leftmost part, 09 for remain two place. Hence Square of 103 is 10609.
- Example 2 : Square of 97?
97 is 3 less than 100 so subtract 3 from 97. Here also we will place 3 place so put that 96 at leftmost place. Rest of the two places will be fill with the square of 3 i.e 9, but we put 09 to make two place get filled.
Hence the square of 97 will be 9409.
Find Square of number from 51 to 59 easily
It is very easy to find square of number lies between 50 and 60 that numbers from 51 to 59. You don't need to brush the square just find it at no time. If you remember the square of 100 number than you chances of calculating faster is very high. If you don't follow the trick for number from 51 to 59.
We know 51 to 59 number lies on the base of 25. We take them at base 25 to calculate the square in no time.
- Find by how much number is greater than 50, say 51 is 1 more than 50.
- Then add that number obtain in step 1 to 25. Say for 51 we get 1 so adding 1 to 25 gives 26.
- We will have 4 digit number as square so put square of number obtained in step 1 at unit and tenth places. For 51 we have 1 so square of 1 is 1 hence we will put 01. Next put number obtains in rest of the 2 places. Like for 51 we have 26. Hence obtain the answer. Incase of 51 we get 2601.
Example 1 : Square of 54?
54 - 50 =4, hence first two place will be square of 4 that is 16. Rest two place will be 25+4 = 29. Hence square the square of 54 is 2916.
General Formula to Find square of any Number Quickly
There is a simple general formula to find the square of any number at no time. The formula is given as below -
(ab)2 = a2.2ab.b2
* b is unit digit of the number, a is rest digits of the number. In right hand side - b is unit place, 2ab at tenth place and rest part is a.
Now Lets understand the formula. Here we have a number ab with b as unit digit and a the other part of the number. Remember this only and we can calculate the square easily.
Example 1 : Square of 23?
In 23 we have a=2 and b=3 so we have,
a2 = 4, 2ab = 12, b2 = 9
Hence number will be 4.12.9, since only one digit can be at tenth place so take the one to other hundredth place here, then add. So the square of 23 will be 529
Example 2 : Square of 112?
a=11, b=2 for this number
a2 = 121, 2ab = 44 and b2 = 4 so number we have 121.44.4, We add the 4 taking it to hundredth place. Hence number obtain is 12544 which is correct answer.
Point to remember - we have b2 at unit place and 2ab at tenth place for the square so if you get two digit, make sure take the leftmost (tenth part of that) to next place and add it up to obtain the correct squares.
Summary of the Contents
We have learn many methods to calculate the squares. Let summarise it in easy and simple way.
Square of X5 is [(x+1)*x]25
Square of 5X, where X=1 to 9 is [25+X]X2 Where X2 is two digit number(add zero 01 for 1, 04 for 4 etc)
Square of 100+X is [100+X+X]X2 where X2 is a three digit number (add to to make them three digit like 001 for 1, 004 for 4)
Square of 100-X is [100-X-X]X2 where X2 is a three digit number
Similarly you can create for base 1000 etc. If you know any of the other great ways to find the square easily in no time please tell in comments. Don't hesitate to ask anything.
Quantitative Aptitude Shortcuts and Tricks for Bank PO
Getting Bank job is dreams of many jobseekers in India. Bank Exams in India is getting tough day by day as competion is ramping due lesser no of seats and increase in participarting aspirants. Many candidates which may be counted in lakhs use to appear in various bank exams every year to secure the job of a Bank PO.
Cracking PO exams - one of tough competitive exams in Indian banking is hard for few of the aspirant. It is not hard as if the level is tough but the time is less. It's the time that make many good bank po exam aspirant struggle to score. To beat the time particularly in Quantitative Aptitude and Reasoning is important for scoring more in Bank PO Competitive Exam.
To cut time, make more effective use of time is important thus to have it we need to learn shortcuts. There are many shortcuts which if one start practicing them, helps in exam saving more time hence more chance for attempting questions. More you save time more you attempt the question and hence score greater than ordinary aspirants. In this post We are going to see some good tips and tricks for maths - the Quantitative Aptitude Shortcuts and Tricks for Bank PO.
Tips and Tricks for Data Interpretation
Data Interpretation is very very important for Bank Po exam. In SBI PO exam you will get almost 70-80% questions based on data interpretation. It quite important to have strong hold in this area, for that you need to brush up the calculating speed.
Most of the DI have vast calculation which slow your speed in competition exam. Here are few DI tips and tricks to follow -
- Try to attempt DI first and never attempt when you are in last few minutes of Exam.
- Always avoid much calculations as much it is possible.
- Try to sum up in mind, avoid using pen and paper.
- Use Approximation to get the result but be careful.
- First try to eliminate the choice without calculation with simple analysis.
Square Root Shortcut Tricks
We are going to learn how to Get square root faster. See the tricks to get square root faster with a simple methodology. This method work for perfect squares.
First We need to write all the the squares which is shown in the image at the right.
Now Find square root of different numbers. Learn this with two examples as given below -
Find Square root of 3249?
To find square root of 3249 we first split it in pair of two from right side (unit and tenth places first). Here we got 32 and 49. Since 49 is in first part, we can clearly see that 9 at the unit place so from the table we find that it is either 3 or 7 for which 9 is at unit place. So we confirmed that our unit part is either 3 or 7.
Next is to find the tenth part. For this we see 32 lies between which squares? From table we know that 32 lies between 25 and 36 i.e.square of 5 and 6. So we take 5 as our tenth place.
We got that 5 must be at tenth place but not sure about unit place. For that we are going to add 1 to 5 which results to 6. Now 5 multiplied by 6 gives 30, which is smaller than 32 our tenth place part hence we are going to take 7 the bigger part as our unit place. If product is large we take smaller one else vice versa.
So from this we get square root of 3249 is 57.
Second Example - Find square root of 2209.
22 and 09 so we have unit 3 or 7 and see 22 appears between 16 and 25 i.e 4 or 5. So take 4. Now 4+1 =5 so 4*5=20, which is less than 22 so take 3 (3 is smaller than 7). Hence our ans is 47.
Tricks to Get Cube Root Faster
Multiply faster with base 100
Multiplication is vast work, it take much time which we cannot effort in competitive exam. We can't lose our valuable time in competition exam, where time is key for success. Let learn how to multiply faster and save out time.
- First Example 97 X 94
we need to multiply 97 with 94. See both are of base 100 with 97 is 3 less than 100 while 94 by 6. Hence take -3 and -6(as they are lesser by this much amount to 100) and multiply them to put them at side. (-3)*(-6) = 18, hence put 18.
Next is to either cross add the difference to the 100 with the number, put it to the number obtain in previous part. In cross adding we get same so do either of them and get the desired number. 97+(-6) or 94 +(-3) both give 91.
Hence put 91 just before 18. We obtain 9118 as our answer. See image in right side.
- Example with number more than 100 - 103 X 108
103 is 3 more than 100 and 108 to it by 8. So we get 3 and 8 (positive as they are more than 100). Multiply them (3*8) which give 24. Next sum (103+8 or 108+3) which give 111. Thus ans is 11124.
- Last Example 106 X 96
106 is 6 more so we take it as +6 while 96 is 4 less than 100 so we take it as -4. Multiply both (6 * -4) we get -24. Since we got negative sign here we need to keep it as side. Nex Cross sum (106+(-4) or 96+6) give 102. Since we got 102 and -24 we can't ans it as 10224 but we have to do something different. Since base is 100 so we keep it as 10200 from which we add -24 or say subtract 24. 10200-24 give 10176,which is our answer.
These are 3 different type of problem get. These principle also rules on base 10, 20 ... or 200,300 ....Try to practice is to make your multiplication fast.
Keep reading General Awareness to score more
The General Awareness is the section that helps boost the score with no time. You have concentrate more on current affairs and banking terminology or marketing terms to score high. Do regular reading once all the topics and never miss them. Read all single time a day so you keep remembering them.
Pattern of PO Exams
IBPS PO Exam is conducted in two parts - Prelims and Mains.
The IBPS PO Exam Pattern for the Prelims exam is given below:
IBPS PO Prelims Exam Pattern � Section | Number of Questions | Marks Allotted | Time Allotted | |
|---|---|---|---|---|
English Language | 30 | 30 | 20 min | |
Numerical Ability | 35 | 35 | 20 min | |
Reasoning Ability | 35 | 35 | 20 min | |
Total | 100 | 100 | 60 minutes | |
BPS PO Exam Pattern � Mains | ||||
IBPS PO Mains Pattern- Paper | Section | Number of Questions | Marks Allotted | Time Allotted |
Objective Test | Reasoning & Computer Aptitude | 45 | 60 | 60 min |
English Language | 35 | 40 | 40 min | |
Data Analysis & Interpretation | 35 | 60 | 45 min | |
General Awareness, Economy & Banking Awareness | 40 | 40 | 35 min | |
Descriptive Test | English Language (Letter Writing & Essay) | 2 | 25 | 30 min |
Tip for Time & Work Problems
You will get fair no of question of Time & Work Problems.
You can save you precious time in exam by just remembering simple tip for Time & Work Problems.
The Formula -
w1m1/d1=w2m2/d2
w is the amount of work,
m is the number of men,
d is the number of days to complete the work.
Tricks to find Compound Interest
To get faster while calculation we need some tricks to follow. In some topics like compound interest the Calculation is vast but with little trick we can make the calculation smaller. Here we are going to use the concept of effective percentage to calculate the compound interest for 2 or more 3 year at a great pace.
Watch the video give below learn tricks to find Compound Interest with little calculation
Thursday, February 7, 2019
Why India don't need secularism?
Do anyone know?
I don't know secularism but know secularism in India.
In India secularism means exodus, end of Hindu.
Prime example is recent brutal killing of Shri Ramalingam yesterday by so called religion of peace. PFI a muslim supported organisation killed Shri Ramalingam while he was returning to home with his son.
Story started earlier when Shri Ramalingam went to a dalit basti for finding labour for his catering. He saw conversion activity in the area. He protest and teaches the people following religion of peace.
This is not one incident and kind of these are numerous. It happened earlier and till India remain secular.
Have you heard anything about this story in mainstream media? No because he was not akhlakh but Ramalingam.
Where is secular media???
Sleeping???
Where is award wapsi gang?
Where bollywood?
All hypocrite are in thier den. They know Hindu is stupid coward will not do anything. Wake Hindu this happen to Ramalingam today next may be you. Unite and fight against the atrocities happening. If you not fight tomorrow you will extinct, no body will care for you.
Watch the video and it all you friends.
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Share the video to every and make sure you fight against the atrocities. We demand justice for Ramalingam.
Tweet with hashtag #justiceforramalingham
At last may God bless Ramalingam's family and he rest in peace.
Wednesday, September 19, 2018
Merger of Bank of Baroda Dena Bank and Vijaya Bank
The Banks Merger Out Come
Third Largest Bank in India
Merger of two strong and one weak bank
| Bank | Net NPA | Capita Adequacy Ratio | |
|---|---|---|---|
| Bank of Baroda | 5.40% | 12.10% | |
| Vijaya Bank | 4.10% | 13.90% | |
| Dena Bank | 11% | 10% |
Vijaya Bank has give us hope with an improvement in April to June quarter with gross NPAs at 6.19 percent vs 6.34 percent in the January to March quarter. On the one hand, Bank of Baroda's gross NPAs grew to 12.46 percent in Q1FY19 compared to 12.26 percent in Q4FY18.
Saturday, August 27, 2016
SBI Mingle registration on Twitter
Basic Requirements for Using SBI MINGLE
The are two basic requirements for SBI customers to use SBI MINGLE:1. A Twitter account
2. One time registration for SBI MINGLE through their account number.
Below is few steps for SBI Mingle registration on Twitter
Step 3: You will get the Instructions you DM ‘#Help’, You have to follow the same which we are going to show here. This is one of major step in process of SBI Mingle registration on Twitter as you have to provide your account number. Direct Message @TheOfficialSBI with #SBIreg
After sent the DM, you get reply that OTP has been sent to you registered Mobile number and you need DM #regOTP
After this, you will get reply with the balance in your account! Take a look at Screenshot at below.
The Screenshot here is taken on Twitter APP on Android, while you are free to user SBI Mingle on twitter on any platform via app or using browser. Just have to use the DM feature of Twitter. I here have shown only the Balance enquiry, you should try the other banking Transactions.
Improvement in Technology is key for development of Human Race. First, It was Internet that bring human closer then it was social media that bought many thoughts to one place. Twitter is one of the Places where you are free to express your views to the world. SBI utilized the power of Twitter to grab social media attention on their business.
Services to add up in Future
In Future SBI Customer can able to do the following thing with SBI MINGLE on Twitter –- Cheque book request
- Stop Cheque payment
- Registration for Mobile Banking
- Registration for Internet Banking
- SMS alerts
- Blocking of ATM/Debit cards (One of the key feature most useful for all customers in case of lost of the cards.)
Final Thoughts
Customer Support
You can tweet to SBI for any help regards to SBI MINGLE on Twitter. You can contact via E-mail - support.mingle@sbi.co.in, give a call at 022-27592092 for any queries.Hope You like the article and able to do easily SBI MINGLE registration on twitter. Share you views via comments.
