Shortcut Techniques for multiplication with the numbers ending with 5

Friends, here are some shortcut techniques for multiplicating with the numbers ending with 5 shared by Mr. Hareesh Kumar. We are very thankful to him for his great support and efforts.

Multiplication With 5 :

EXAMPLES: 123458 * 5 = ?

Solution : 123458*5 = (123458/2) * 10 = 61729*10 = 617290

Example: 224569*5 = ?

Solution: 224569*5 = (224569/2) * 10 = 112284.5 * 10 = 1122845

 

Hence the pattern becomes:

X * 5 = (X/2) * 10

Multiplication with 15:

Example: 124*15 =?

Solution: 124*15 = (124 + (124/2)) * 10

                                   = (124 + 62) * 10 = 1860

Hence the pattern becomes:

X*15 = (X + X/2) * 10 è X*15 = (3X/2) * 10

Multiplication with 25:

Example: 2264 * 25 =?

Solution: 2264*25 = (2264/4) * 100 = 566 * 100 = 56600

Hence the pattern is:

X*25 = (X/4)*100

Multiplication with 35:

Example: 127*35 =?

Solution: 127*35 = (3*127 + (127/2)) * 10

                             = (381 + 63.5) * 10 = 4445

Hence the pattern is:

X*35 = (3*X + X/2) * 10 è X*35 = (7X/2) * 10

Note : The above shown patterns will continue for all the numbers ending with 5. In general we can write this as:

X*n5 = (n*X + X/2) * 10

           Where, n = 0,1,2,3, ………………………………

Some more examples :   

•  136 * 65 = (6*136 + 136/2) * 10 = (816+68)*10 = 8840 
• 132*105 = (10*132 + 132/2) * 10 = (1320 + 66)*10 = 13860 
•  123*55 = (5*123 + 123/2)*10 = (615+61.5)*10 = 6765

Multiplication of Numbers Ending with 5 and having the difference of 10 : 

Let us assume that there are two numbers X5 and Y5, and the difference between the two numbers is 10. 

Then the multiplication of these two numbers will be :

                 (Larger number of X and Y)² – 1 | 75

Note : X and Y may be single digit or 2-digit or 3-digit numbers!

EXAMPLES:
1)    35*45 =?
Sol: 35*45 = (4² – 1) |75 = 1575

2)    75*85 = ?
Sol: 75*85 = (8² – 1)|75 = 6375

3)    105*115 = ?
Sol: 105*115 = (11² – 1)|75 = 12075

4)    235*245 = ?
Sol: 235*245 = (24² – 1)|75 = 57575

5)    255*245 = ?
Sol: 255*245 = (25² – 1)|75 = 62475

6)    1055*1045 = ?
Sol: 1055*1045 = (105² – 1)|75 = 1102475

7)    1125*1135 = ?
Sol: 1125*1135 = (113²– 1)|75 = 1276875

06:26 - By Unknown 0

 APGVB Officers Scale I and Office Assistants Interviews Postponed

Friends, the interviews of Officers Scale I and Office Assistants of Andhra Pradesh Grameena Vikas Bank (APGVB), which were scheduled from 22nd August 2013 are postponed due to administrative exigencies. The bank will announce the revised schedule soon. There are no changes in Officers Scale II Interview Schedule. 

Check the detailed notification about the postponement of APGVB Interview schedule from here

Thanks to Swathi for the update

06:26 - By Unknown 0

 How to Prepare for IBPS Bank Exams ? - A Complete Preparation Plan for IBPS POs, Clerks and RRB Exams

Friends, initially we planned to post separate Preparation Plans for IBPS PO, IBPS Clerks, IBPS RRB POs and IBPS RRB Clerks. But as the syllabus is almost same for all these 4 exams, we felt that our readers may feel it annoying to read same HOW TOs again and again. So, here we are posting the preparation plan of all IBPS Bank Exams. Ofcourse, even the syllabus is same the difficulty level varies.

Before going into details, lets keep the following points in mind. 

1. Just Remember, Almost all the topics they cover in bank exams are of the classes 6th to 10th. So, Even a 10th Standard kid can clear this exam, if given enough time. With me? But the thing is, you have to complete the paper in given time. So, don't you think you can do it with little efforts and practice ? (this is the same answer for those people who says, "I am not from science background. That's the reason why I can't write Bank Exams". Friends, You just lack practice. Not skills. Remember it).
2. Stop saying, I have so many family problems. So, can't concentrate on preparation. First let us know, who the hell on earth don't have problems ? See, nobody will remember your problems when you failed in the exam. Even your mom, dad and close friends will say that you lost it because of your negligence. Can you show me a single person, who sincerely says that you lost it because of your personal problems ? Friends, They don't know your feelings, they don't want your emotions, all just they want is to talk about your success. So just stop searching reasons for failures and start make yourself ready for the exam.
3. Stop thinking, What if I lost this exam ? Pretty good question, isn't it? The answer is, the earth never gonna blast, the sun never gonna turn black and the most important thing, you never gonna die because of it. May be some blank faces and emotional atyachars for two or three days. Later everything gonna be fine. The only disappointing thing is, you just have to wake up in sad mood on the very next day of your result. But its not such a big deal. You will start preparing for another exam. After all we are here to win. Nobody gonna die as a loser. Who knows ?  this may be your last step towards your goal :) Be positive. Just avoid negative thoughts.

Is Coaching Necessary to clear the Bank Exam ?

Ofcourse not. now a days almost all coaching institutes have became money minded. They just concentrate on covering topics rather than explaining them. So, if you are sincere enough, then you surely can prepare on your own without taking the help of any coaching class. By doing so, you can save your valuable money and time. The only best thing with Coaching classes is, they just provide you the good environment of preparation. I mean, you will be motivated if people around you are continuously discussing about the issues related to preparation. Ofcourse, You can create this  environment by making a group with your friends too. Combined studies and sharing ideas really help you prepare well. But make sure that all your friends are sincere and enthusiastic as you. 

What if I don't have good friends ?

No problem, you can join in any facebook group in which people who prepare for bank exams interacts and helps each other. But don't waste too much time in chatting with others. 1 or 2 hours per day for a good cause is Ok.

Gathering Materials :

Don't try to buy every book with the name "IBPS Special" on it. There are more than 130 IBPS Specials in market. Three days ago my brother also bought a book with the name "IBPS PO Exams Special" with Trigonometry topics in it. I was totally clueless when he asked, "Why didn't you include Trigonometry in your IBPS Syllabus posts? Its there in the book !!!". So, before going to collect the materials just read the syllabus. Make a list of topics to read, according to it you can buy the books. Here are some books you may need to buy.

• Book of Mathematical Tables (20 Tables upto 20s)
• Book for Aptitude Shortcuts (R. S Aggrawal / M. Tyra) 
• Book for Reasoning Shortcuts (R. S Aggrawal's reasoning series is ok, but there are no shortcuts in these books. All are traditional methods).
• For English you can buy any English Grammar book of your local language. This will help you getting basic idea on English grammar. Later you can switch to any standard English grammar book like "Intermediate English Grammar" of Raymond Murphy.
• For Current Affairs you can buy Pratiyogitha Darpan / Kiran  (If you can afford around Rs. 75/- per month)  Mahindra's Current Affairs (it costs you around Rs. 30/-). But no book is perfect, better make your own short-notes on Current Affairs (We have discussed about this in detail below).
• For computer knowledge any computers book with basics and MS Office in it is enough. Now a days every school and college is providing these kind of books for their students. So, you easily can get one from any nearby second hand book shop.
• For Banking Awareness, unfortunately there is no specific book for this section in market. We feel our materials on Banking Awareness are enough for this section. If you want you can buy the book on Banking Awareness by Arihant Publications to get the basic idea. And better to follow the Economy updates from January 2013. Try to read Economic Times or The Hindu Business line.

Making Timetable :

If you are working somewhere : If you are working somewhere then it may not possible to dedicate the whole day on your preparation. Try to spend at-least five hours per day on preparation. Morning two hours and night time 3 hours. Try to practice Aptitude and Reasoning sections at morning. Try to manage reading news paper during the day time. At evening you can concentrate on English / Computer Knowledge section according to your convenience and interest. On holidays better work with practice sets and Banking and General Awareness topics. 

If you are completely dedicated to Banking Exams : Congratulations. You have the whole day with you to prepare. But don't be a book worm. Too much of anything is good for nothing. Try to wake up at 4 (We know its really difficult for you at initial days. But trust us , your body will get used to it within 4 or 5 days). Work with Aptitude and Reasoning sections according to your convenience. You can prepare till 8 or 9 depending on your interest. Later you can have breakfast and do your favorite task for 1 hour. Later read the news paper and note Important points. Try to remember if there are any new names and numbers / dates. Complete your lunch by 1 PM. Walk around for 10 to 15 minutes. Have a quick nap for two hours. Wake up by 4 PM. Prepare English for Two hours. Complete your dinner by 9. Prepare Computer / Banking Awareness or any other subject according to your convenience. Go to bed by 11 PM Sharp.


Starting Preparation : Before starting your preparation, just mug up the following things

• Math tables upto 20
• Squares up to 30
• Cubes up to 15 
• Powers of 2 (upto 12)
• Powers of 3 (upto 6)
• Complements of 100 (the difference between 100 and the given number). This will help you calculating faster. 
• Try to learn 10 new English words per day (including Antonyms and Synonyms) (you should do this upto 7 days before your exam)
• Learn place values of Alphabets.

During Preparation : 

• For Aptitude and Reasoning : Pick any topic and try to learn the basics of the topic. Once you feel you perfectly got the topic then only go for problems. And remember, example problems are always easier to read and understand. It something like, riding bicycle when somebody is holding it. At that time you will feel that you are perfect at bicycle riding. But before going to the race, you have to test yourself whether you can really ride it or not. More than 70% of our friends fail at this point. Why to point others ? even my brother too does this. He is a lazy bug. He just opens the book, reads the concept and says "Aasaan Hain !!!" and sleeps. But after exam he comes with a sad face and says "Di, the paper was very tough. Even I also couldn't answer more than 100 questions (!!!). Nobody can clear this exam". Then where on the earth all those people who have cleared the exam came from ? From mars ? The only problem is, he has laziness and attitude. Which they don't have. Hope you have got what I am trying to say. Practice... Practice... Practice.... Practice till the end of your exam. Your lazy mind always says "Are yaar, bahut hogaya.. Its enough now. You are the master of this topic". But don't listen to it. Prepare well :)
• For English Language :  Try to learn the basics first. Later you can go with concept. Luckily you don't have the descriptive paper this time. So you easily can clear the exam. And remember, spoken English is different and competitive English is different. You shouldn't be a fluent English speaker or you shouldn't learn every English word to clear the Exam with good marks. Just learn the basics perfectly and practice well. That's enough. 
• Making Notes for Current Affairs :Its better to depend on THE HINDU or The Times of India to make your CA notes. If you have any problem with them then you can go with any local language news paper. Maintain a notebook for Current Affairs. Read the news paper completely. Just write the date in the notebook as the main heading. Make some sub headings like International Events, National Events, Economy, Sports, People in News etc. Have a look at this post for the basic idea (we made it from the hindu). Don't copy the news paper as it is, just 2 or 3 lines are enough. Try to highlight if there are any names or numerical values. And don't write everything you see in the news paper. They wont ask you about silly things like Politician's second wife, Bollywood heroines' daughter and Cricketer's  ankle pains the topics which the news papers publish as  their main headlines. Just ask yourself a question "Is it going to be appear in the exam?", if you feel YES, then write it. If you feel no then don't write. Ofcourse, its not such an easy task as we are saying. We too agree. But trust us, day by day you could observe the improvement in you and finally you will be the expert of making Current Affairs notes. And who knows ? One day you may beat the admin of this blog ;)
• Just know what is computer, how it works and its history. Try to learn each and every detail which helps the computer to perform. That's it. They wont expect you to write programs.

Spirituality : Yep you heard it correct. Believe in god. Daily pray for 10 minutes (it would be more nice if you can Meditate). Ofcourse, we are not saying that the god will show you the correct options during the exam. But the feeling "somebody is there to help me" makes you stay calm and peaceful.

Important Points to Note :

• The difficulty levels of the IBPS exams (for Apti, Reasoning, Computers and English sections) are like this
• IBPS PO   >   IBPS RRB PO   >   IBPS Clerks   >   IBPS RRB Clerks
• The difficulty levels of General Awareness section is like this
• IBPS PO   >   IBPS Clerks    >  IBPS RRB PO     >   IBPS RRB Clerks 
• No need to put stress on Banking Awareness for IBPS RRB Exams. They mainly focus on Current Affairs only. 

Final words : Friends, we hope this article will help you in your preparation. And last but not the least, the main aim of Gr8AmbitionZ.com is to provide complete quality study materials of competitive exams for free. So, feel free to review our materials. So please feel free to share your views on the topics which are not clear in this blog, the areas which we should concentrate more and any other improvement you want to see in Gr8AmbitionZ so that we can make them available soon. All the Best.

That's all for now friends. Happy Reading :) 

08:35 - By Unknown 0

 How to find a Square Root - A Shortcut Method

Friends, today we shall discuss the shortcut method for finding square roots. Lets start this post with some basic definitions.

What is Square Root ?

The square root of a number is any value when multiplied by itself, gives the number. Pretty simpler definition. Isn't it?

Now lets have a look at some examples

3x3 = 9 so the square root of the number 9 is 3

6 x 6 = 36 so the square root of the number 36 is 6

we represent square roots with the " √ " symbol.(Trust me its a square root symbol. Not a tick mark :P )

well, now we have a good idea of what is a Square root and how it looks like. Now lets come to our main topic.

 

How do you find Square Root ?

 

Well, its not such a complicated thing as you have been thinking.  Trust me, After reading this post you surely will be able to calculate square root of any number.

Before going to find the square root of any number, you should check whether the given number is a square or not.

Check the units place (right most digit) of the given number. If you find 2, 3, 7 and 8 at the unit place then the given number is not a square number and you can't find square root for the given number.

Ex : 652 is not a square number because there is 2 at the unit place of the number. 

So, if the number ends with 1, 4, 5, 6, 9 and 0 then the given number is a square number and you can find square root of the given number (Ofcourse, There are some exceptions with 0).

Now you have got a number to find its square root. Which is having one of these numbers 1, 4, 5, 6, 9 at the end. Now check the below table. Just try to remember it. Ofcourse, you easily can remember the values. Can't you ? :)

Unit’s Place	Factors
1	1 or 9
4	2 or 8
5	5
6	4 or 6
9	3 or 7
0	0

It simply says,
if the given number has 1 at the unit's place, then its square root will have 1 or 9 at the end (this is because 1x1 = 1 and 9 x 9 = 81)
if the given number has 4 at the unit's place, then its square root will have2 or 8 at the end (this ie because 2x2 = 4 and 8x8 = 64)
You know the logic behind 5
for 6, you will have 4 or 6 (4x4 = 16 and 6x6 = 36)
9, you will get 3 or 7 (3x3 = 9 and 7x7 =  49)

Ok, now come to the actual method of finding square roots of the given number.

Inorder to find the square root of the given number, you just should remember the following manthra. Just mug-up the following four lines.

1. Nearest Square
2. Its root          -----------> this will be the first number of our square root.
3. Its double
4. Join the factor and multiply with it --------> the factor will be the second number of our square root

Now lets see, how our table and manthra will help you finding square root of the number.

Assume that you should find out the value of  √2601

Given number is a square number (having 6 at the end). So we can find the square root of this number.

Step 1 : Take the Nearest Square of the first two digits of the number. Nearest square to the number 26 is 25 right?

Step 2 : Its root. (root of 25 is 5) -----------> First digit of our answer

Step 3 : Its double (double of 5 is 10)

now see, the below process,

Now, we have 101 at the reminder. You have nothing to do with the number. Just consider the ending number. Which is 1. According to our above table the factors of 1 are 1 and 9.

Step 4 : Join the Factor and multiply with it. For this step always try the smaller number, if it doesn't suits then only go with the larger number. Here in our case the smaller number is 1. So join it to 10. So it will become 101. Now multiply it with 1. We will get (101x1 = 101). So the second digit of the answer is 1.

So required square root is 51.

Lets have a look at another example,

Find the square root of 4096. 

√4096

Step 1 : Take the Nearest Square of the first two digits of the number. Nearest square to the number 40 is 36. 

Step 2 : Its root. (root of 36 is 6) ------------> this is the first digit of our required answer

Step 3 : Its double (double of 6 is 12)

Now, we have 496 at the reminder. Consider the ending number. Which is 6. According to our above table the factors are 4 or 6.

Step 4 : Join the Factor and multiply with it. Try the smaller number, which is 4. Join it to 12 and it will becomes 124. Now multiply with the same number. 124x4 = 496. Which is our reminder.
So the second number will be 4.

So, 64 is the square root of the given number.

Note : If you cant get the required reminder while joining the first number, then simply join the second number. It will be your answer :)

Important Note : To make every step clear to understand, we have used these many steps. The process is very simple if you get the basic idea of it. So try to reduce the steps while working with this method.


That's all for now friends.Now try with some random examples. We shall discuss some more practice problems and the procedure to work with the bigger numbers in our next post. Please don't forget to review this method, please mention whether the way of explanation is understandable or not so that we can make further move. Happy reading :)

Krishna 

08:35 - By Unknown 0

 When is Malala Day ? 12th July or 10th November ?

Malala Yousafzai, the Pakistani student, child activist who was shot in the head by the Taliban for campaigning girls’ rights to an education, The Bravest Girl on earth.... oh, I guess no introduction needed for this name. Irrespective of Nation, everybody knows her and likes her, Don't you ? Ok, our discussion is not about Malala. Its about her Day. The Malala Day.

After updating our last post on International Days observed by UN  we have got a number of mails, by CORRECTING the Malala Day. Most of them claimed that Malala Day is not on 12th July its on 10th November. They have attached some url links too (published by Times of India and other renowned  websites) to support their version. Ofcourse, kinda confusing issue, isn't it ? If you search Malala Day in google, you will get 2 versions. One says it is on 10th November and others says its on 12th July. So, we felt we have to give clarity on this issue.

The UN Secretary General Ban Ki-moon announced 10th November 2012 as Malala Day, a month after Malala was shot at by the Taliban for campaigning for girls' education in Pakistan to support her and her fight for education. 12 July 2013 is Malala Yousafzai’s 16th birthday. She celebrated this day at UN with her family. On this day, she delivered a wonderful speech at the UN to call for worldwide access to education. It was her first public speech since the attack. So the UN has officially announced 12th July as Malala Day.

Bottom Line : Initially UN announced 10th November as Malala Day, but now the date has been changed to Malala's Birthday (12th July).

08:34 - By Unknown 0

 List of International Days Observed by United Nations

Friends, here is the complete list of International Days observed by United Nations Organization and its principal organs. The UN observe these days  to point out some issue of international interest or concern. This is used to commemorate, promote and mobilize for action. It also presents a written report about the event. This summarizes the activities that took place around the world under the auspices of the international observance, and makes recommendations for the future. This post is important because now a days in almost every competitive exam they are asking the important days.The UN not only observes days, but also months, years and decades etc. We shall discuss them in our next post.

January

27 January -  International Day of Commemoration in Memory of the Victims of the Holocaust

February

4 February     - World Cancer Day

6 February   - International Day of Zero Tolerance to Female Genital Mutilation

13 February   - World Radio Day

20 February - World Day of Social Justice

21 February  - International Mother Language Day

March

8 March     - International Women's Day

20 March - International Day of Happiness

21 March  - International Day for the Elimination of Racial Discrimination

21 March - World Poetry Day [UNESCO]

21 March - International Day of Nowruz

21 March - World Down Syndrome Day

21 March - International Day of Forests and the Tree

22 March - World Water Day

23 March - World Meteorological Day

24 March - World Tuberculosis Day

24 March - International Day for the Right to the Truth concerning Gross Human Rights Violations and for the Dignity of Victims

25 March - International Day of Remembrance of the Victims of Slavery and the Transatlantic Slave Trade

25 March - International Day of Solidarity with Detained and Missing Staff Members

April

2 April  - World Autism Awareness Day

4 April  - International Day for Mine Awareness and Assistance in Mine Action

7 April  - Day of Remembrance of the Victims of the Rwanda Genocide

7 April  - World Health Day

12 April  - International Day of Human Space Flight

22 April  - International Mother Earth Day

23 April  - World Book and Copyright Day

23 April  - English Language Day

25 April  - World Malaria Day

26 April  - World Intellectual Property Day

28 April  - World Day for Safety and Health at Work

29 April  - Day of Remembrance for all Victims of Chemical Warfare

30 April  - International Jazz Day

May

3 May  - World Press Freedom Day

8-9 May  -Time of Remembrance and Reconciliation for Those Who Lost Their Lives during the Second World War        A

11-12 May  -World Migratory Bird Day

15 May  - International Day of Families

17 May  - World Telecommunication and Information Society Day

21 May  - World Day for Cultural Diversity for Dialogue and Development

22 May  - International Day for Biological Diversity         A/RES/55/201

23 May  - International Day to End Obstetric Fistula       A/RES/67/147

24 May  - "Vesak", the Day of the Full Moon       A/RES/54/115

29 May  - International Day of UN Peacekeepers

31 May  - World No-Tobacco Day [WHO]             Resolution 42.19 of the 42nd session of WHO

June

1 June - Global Day of Parents

4 June - International Day of Innocent Children Victims of Aggression

5 June - World Environment Day

8 June - World Oceans Day

12 June - World Day Against Child Labour

14 June - World Blood Donor Day [WHO]

15 June - World Elder Abuse Awareness Day

17 June - World Day to Combat Desertification and Drought

20 June - World Refugee Day

23 June - United Nations Public Service Day

23 June - International Widows' Day

25 June - Day of the Seafarer [IMO]

26 June - International Day against Drug Abuse and Illicit Trafficking

26 June - United Nations International Day in Support of Victims of Torture

July

6 July (First Saturday in July) - International Day of Cooperatives

11 July - World Population Day   12th July - Malala Day

18 July - Nelson Mandela International Day

28 July - World Hepatitis Day

30 July - International Day of Friendship

August

9 August - International Day of the World's Indigenous Peoples

12 August - International Youth Day

19 August - World Humanitarian Day

23 August - International Day for the Remembrance of the Slave Trade and Its Abolition

29 August - International Day against Nuclear Tests

30 August - International Day of the Victims of Enforced Disappearances

September

5 September - International Day of Charity

8 September - International Literacy Day

10 September - World Suicide Prevention Day

12 September - United Nations Day for South-South Cooperation

15 September - International Day of Democracy

16 September - International Day for the Preservation of the Ozone Layer

21 September - International Day of Peace

26 September (Last week of September) - World Maritime Day

27 September - World Tourism Day

28 September - World Rabies Day

28 September (Last Saturday in September) - World Heart Day

October

(First Monday in October) - World Habitat Day

1 October - International Day of Older Persons

2 October - International Day of Non-Violence

5 October - World Teachers’ Day

9 October - World Post Day

10 October - World Mental Health Day

10 October - (Second Thursday in October) - World Sight Day

11 October - International Day of the Girl Child

13 October - International Day for Disaster Reduction

15 October - International Day of Rural Women

16 October - World Food Day

17 October - International Day for the Eradication of Poverty

24 October - United Nations Day

24 October - World Development Information Day

27 October - World Day for Audiovisual Heritage

November

6 November - International Day for Preventing the Exploitation of the Environment in War and Armed Conflict

10 November - World Science Day for Peace and Development

12 November - World Pneumonia Day

14 November - World Diabetes Day

16 November - International Day for Tolerance

16 November - World Chronic Obstructive Pulmonary Disease Day

18 November (Third Sunday in November) - World Day of Remembrance for Road Traffic Victims

19 November - World Toilet Day

20 November - Universal Children’s Day

20 November - Africa Industrialization Day

21 November (Third Thursday in November) -World Philosophy Day

21 November - World Television Day

25 November -  International Day for the Elimination of Violence against Women

29 November - International Day of Solidarity with the Palestinian People

December

1 December - World AIDS Day

2 December - International Day for the Abolition of Slavery

3 December - International Day of Persons with Disabilities

5 December - International Volunteer Day for Economic and Social Development

7 December - International Civil Aviation Day [ICAO]

9 December - International Anti-Corruption Day

10 December - Human Rights Day

11 December - International Mountain Day

18 December - International Migrants Day

20 December - International Human Solidarity Day

08:33 - By Unknown 0