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Google Apps SignUp/Login Referral Program

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Now Google is into Referral program. A very happy news to all of us. Refer Google Apps to your friend for Signup/Login for Google Apps Referral Program - Refer your friends and Earn Money => Check out here<br />
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<a href="http://goo.gl/KNwgFb">Click Here For GoogleApps Login</a></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEijdyFP98H4DPC645YAc6xRuzeQayGSWOH9IJB8k7IApO0SvfTgVP-5y9P7NUr3Y6hSrhEDYFjdQjn6uEzKgYRBet05EOY4V9WSFxRMEO3XncPsdAqFAeAZ8YBsMM-lTs0jZA6MoLZ5L9g/s1600/signup_google+apps.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="245" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEijdyFP98H4DPC645YAc6xRuzeQayGSWOH9IJB8k7IApO0SvfTgVP-5y9P7NUr3Y6hSrhEDYFjdQjn6uEzKgYRBet05EOY4V9WSFxRMEO3XncPsdAqFAeAZ8YBsMM-lTs0jZA6MoLZ5L9g/s1600/signup_google+apps.JPG" width="400" /></a></div>
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Click on <b>JOIN NOW </b>,you will get the below screen fill the required details and submit the page.</div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgA5RpZwyB_9itketHvUoakMtBlrd3F4wwfW6RnDiKdd7_QNHypdo_iMQ5gdN78ZCSBTYwVj9IOuGU4yUTvquwqGwVtAn2711Wpb6fNjjJ2zuB5-A_yZrjZS4-vv7ef6wS4xsTwCYaPKvE/s1600/google+app_+registration.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="302" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgA5RpZwyB_9itketHvUoakMtBlrd3F4wwfW6RnDiKdd7_QNHypdo_iMQ5gdN78ZCSBTYwVj9IOuGU4yUTvquwqGwVtAn2711Wpb6fNjjJ2zuB5-A_yZrjZS4-vv7ef6wS4xsTwCYaPKvE/s1600/google+app_+registration.JPG" width="400" /></a></div>
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After Submitting the page you will get the confirmation page and finally you will get the mail from GoogleApps.</div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhlOZvnNuvE8ufgzDhTWc0MyVhIymkeymB2GW2yM59qP4LJwewvC0cfnDbcrbZoI0QTKvZJoCaW1KPQvXjXaj1gBiBsrM41NaAqTkMBGlrAOQTYZBIdbzxjH3pvp2gXziIKbHhyUhjrJRY/s1600/google+apps_confirmationmail.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="142" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhlOZvnNuvE8ufgzDhTWc0MyVhIymkeymB2GW2yM59qP4LJwewvC0cfnDbcrbZoI0QTKvZJoCaW1KPQvXjXaj1gBiBsrM41NaAqTkMBGlrAOQTYZBIdbzxjH3pvp2gXziIKbHhyUhjrJRY/s1600/google+apps_confirmationmail.JPG" width="400" /></a></div>
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Now Google is into Referral program. A very happy news to all of us. Refer Google Apps to your friend for Signup/Login for Google Apps Refe...

Some hot tips for maintaining Healthy Hair

9:03 AM Sailaja K 6

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Everyone wants beautiful thick and strong hair.To maintain these simple below tips you love your hair very much and observe the difference.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEijoF-Zo0yxHWST7BHCDcDGFyYTNt4ErU1qCD8jh59HduqvPYlG1HtXrgfGH10wcz9WfcV8JD-CYGDpDFUl3rd20dIw04qDh8adGOXzc4mj89JMAoPuadmgOedT7LfT-jvrE76zT0bS1cU/s1600/healthy_tips_hair.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="258" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEijoF-Zo0yxHWST7BHCDcDGFyYTNt4ErU1qCD8jh59HduqvPYlG1HtXrgfGH10wcz9WfcV8JD-CYGDpDFUl3rd20dIw04qDh8adGOXzc4mj89JMAoPuadmgOedT7LfT-jvrE76zT0bS1cU/s1600/healthy_tips_hair.jpg" width="400" /></a></div>
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1.Do hot oil scalp massage regularly.<br />
2. Trim your hair between  6 to 8 weeks to avoid split ends.<br />
3. Drink atleast 3 to 5 liters of water daily.<br />
4. Brush your hair with care. Do not blow dry.<br />
5. Use potato water as hair Conditioner treatment.<br />
6. Stay away from silicon based hair care products<br />
7. Use natural HAIR PRODUCTS only.<br />
8. Do not apply conditioner on scalp directly.<br />
9. Make use of SCARVES or HATS to avoid pollution and direct sun rays.<br />
10. Never comb your hair when it is wet.<br />
11. Use silk pillow covers to avoid hair friction.<br />
12. Rinse your hair with cold water after shampooing to make it shine and look even more luscious than before.<br />
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Make use of the above home remedies for hair care and get ready to see amazing results!<br />
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HEALTHTIPS HOME Some hot tips for maintaining Healthy Hair

Everyone wants beautiful thick and strong hair.To maintain these simple below tips you love your hair very much and observe the difference....

To View Any Song Lyrics on Youtube,Google Play Using Simple Steps

8:51 AM Sailaja K 0

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Here an amazing Google Chrome Extension to see the lyrics on YouTube. By following the simple steps.Firstly, you need to click on the below link<br />
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<a href="https://chrome.google.com/webstore/detail/musixmatch/gfenjblodoldnbiddmggcbkcapiolbig?hl=en">Click Here For Google Chrome Extension For Lyrics</a></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgHpls7J0BJN9BZSODb0wAoxIWhQqvgV2bJlYGUJ9B8r_pxY_m9yN-o8XZIVwS3Uyj3c76-hsffhyiXZrtMomH0NPRdCygRzGulifJ4yeFFiSw3psgFUFJDK250jaFsdqCTua71BgmMOaY/s1600/lyrics_youtube.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="528" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgHpls7J0BJN9BZSODb0wAoxIWhQqvgV2bJlYGUJ9B8r_pxY_m9yN-o8XZIVwS3Uyj3c76-hsffhyiXZrtMomH0NPRdCygRzGulifJ4yeFFiSw3psgFUFJDK250jaFsdqCTua71BgmMOaY/s1600/lyrics_youtube.jpg" width="640" /></a></div>
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<span style="text-align: left;">After adding to the Google Chrome just restart your browser.Now, open the you tube and check the lyrics of that particular song will be display on the right hand side.</span></div>
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BLOGGING HOME To View Any Song Lyrics on Youtube,Google Play Using Simple Steps

Here an amazing Google Chrome Extension to see the lyrics on YouTube. By following the simple steps.Firstly, you need to click on the below...

BEGINNERS GUIDE HOW TO START A BLOG

4:01 AM Sailaja K 2

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<span style="font-family: Arial, Helvetica, sans-serif;">Hello Guys,Firstly , i define what is blog?</span><br />
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<span style="font-family: Arial, Helvetica, sans-serif;">" a personal website or web page on which an individual records opinions, links to other sites, etc. on a regular basis."</span><br />
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<span style="font-family: Arial, Helvetica, sans-serif;">                 Many blogs focus on a particular topic, such as web design, kitchen recipes, sports, or mobile technology. Some are more presenting links to all types of other sites. And others are more like personal journals, presenting the author's daily life and thoughts.</span><br />
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<span style="font-family: Arial, Helvetica, sans-serif;"> Before starting a blog, you need to choose a topic which your familiar and much more interested and then start blogging.The articles of blogs copied content doesn't work much more for you.To get traffic into your blogs you must be unique.</span><br />
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BLOGGING HOME BEGINNERS GUIDE HOW TO START A BLOG

Hello Guys,Firstly , i define what is blog? " a personal website or web page on which an individual records opinions, links to oth...

RamiReddy Sir Core Java Material

3:53 AM Sailaja K 98

HOME Java RamiReddy Sir Core Java Material

Basic Concepts Of Core Java by Rami Reddy Sir by Sathya Technologies

How To Check Future Page Rank Of Your Blog

1:40 AM Sailaja K 4

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Google Page Rank is a measure to rank all the websites in the world from 0-10. If a website has PR0 then it is said to be a poor website whereas a website with more than PR5 is said to be the best one according to Google.<br />
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How To Use the tool:</h3>
1. Go to http://www.alltechbuzz.net/pagerank-predictor/<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgvxk612yI0WGon-q92P1_TUxwPeqU_QpOgA9SpLGpDJHNi0mVDiQsbhoOX6JL_qo1igpqyef77HeZrW8KalImhCsvqc20NIBVsn_XiDAPLLTIwYwas41yEkdw-MegJbJIWzCM8VoKAURU/s1600/pr+atb.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="182" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgvxk612yI0WGon-q92P1_TUxwPeqU_QpOgA9SpLGpDJHNi0mVDiQsbhoOX6JL_qo1igpqyef77HeZrW8KalImhCsvqc20NIBVsn_XiDAPLLTIwYwas41yEkdw-MegJbJIWzCM8VoKAURU/s1600/pr+atb.JPG" width="320" /></a></div>
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2. Now enter the URL of your blog in the text field and click on predict button.<br />
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3. That's it, now it displays the future Page rank of your Blog in green color below the text field.<br />
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 Hope that this Future Page Rank Predictor tool will help you to predict your Future Google Page Rank in advance.</div>

GOOGLE/SEO HOME How To Check Future Page Rank Of Your Blog

Google Page Rank is a measure to rank all the websites in the world from 0-10. If a website has PR0 then it is said to be a poor website wh...

Must Know Top Windows 8 And Window 7 Shortcuts

1:31 AM Sailaja K 0

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Windows 8 is rife with features and behaviors that conspire to perplex even the most experienced PC users. Making matters worse, the OS was primarily designed for touch control, and as a result, many mouse and keyboard commands feel like tacked-on afterthoughts.</div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjXXzjmR577xWUtG8tb5jOxZ6ZkHI-hX8imiKwrS2G4XNIsr9XUZWFLLzbxJv8il_wkJNlIHcwcBxINWNHoP14Zn9OCE4ELSFg1TNnVJAKRzjEw0fEe_STEaLb_iymeS7MOfNnrYrbKn2w/s1600/win7+8+st.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjXXzjmR577xWUtG8tb5jOxZ6ZkHI-hX8imiKwrS2G4XNIsr9XUZWFLLzbxJv8il_wkJNlIHcwcBxINWNHoP14Zn9OCE4ELSFg1TNnVJAKRzjEw0fEe_STEaLb_iymeS7MOfNnrYrbKn2w/s1600/win7+8+st.JPG" /></a></div>
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Windows 8 has been with us for well over a year now, and if you're used to previous versions of Windows then you're going to notice that quite a bit has changed. In fact, Windows 8 has seen the biggest change since the jump from Windows 3.1 to Windows 95.</div>
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Out goes the Start menu, in comes the new touch-oriented Start screen with new Windows 8-style apps and new interface conventions. Even experienced PC users may be left feeling a little lost.</div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj0w7ttpCLWD_4CDo005_dQYkJ5pSkLf_HyPbs7L90YjKq1rYEEkroxeT0GqCg1KTuuE9euyC-uy91z0BcwnaoLHnCSZa4trCwlrkyAZqUZZAaiG6dWSTvPippz1B3EuJLu8M0cky0C5kk/s1600/win7+8+st1.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj0w7ttpCLWD_4CDo005_dQYkJ5pSkLf_HyPbs7L90YjKq1rYEEkroxeT0GqCg1KTuuE9euyC-uy91z0BcwnaoLHnCSZa4trCwlrkyAZqUZZAaiG6dWSTvPippz1B3EuJLu8M0cky0C5kk/s1600/win7+8+st1.JPG" /></a></div>
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Use the Hottest Hotkeys in Windows8</h3>
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Don't despair, though, help is at hand. We've poked around every part of Windows 8, uncovering many of its most important tips and tricks, so read our guide and you'll soon be equipped to get the most out of Microsoft's latest release.</div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjzkQFOs1KJ1-tm6Uf7FCxZDKXOnwwZ5EMkvJM92jt6QUCgAefcX-ksNv8XddbdeQNqtcLTpeTA6lpKPp2KBHHlVdVU7jpgFTzG4-828XT406XI091E2JVPPMQQE1dSHFinEO9i_m_sk-o/s1600/hottest+win.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjzkQFOs1KJ1-tm6Uf7FCxZDKXOnwwZ5EMkvJM92jt6QUCgAefcX-ksNv8XddbdeQNqtcLTpeTA6lpKPp2KBHHlVdVU7jpgFTzG4-828XT406XI091E2JVPPMQQE1dSHFinEO9i_m_sk-o/s1600/hottest+win.JPG" /></a></div>
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GOOGLE/SEO HOME Must Know Top Windows 8 And Window 7 Shortcuts

Windows 8 is rife with features and behaviors that conspire to perplex even the most experienced PC users. Making matters worse, the OS ...

Indoor Google Maps Introduced In India

11:29 PM Sailaja K 1

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The Indoor Google Maps introduced in India last month will be available on Android as well as iOS platform under Maps app section.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEisutJKZaKQgGBp5hjYgKSZx9XoI-N9jxC7d3rZgWLj3HEEKe0bCCsYB8fB5-kIRrsCrFYdkO45R3z8ciVRRI8yJkScqIk8BVMZaaqA_DvyKV4dlPaWlbaKiZ1Jn18OFnIBECQEoJxB3y0/s1600/qr-map.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="260" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEisutJKZaKQgGBp5hjYgKSZx9XoI-N9jxC7d3rZgWLj3HEEKe0bCCsYB8fB5-kIRrsCrFYdkO45R3z8ciVRRI8yJkScqIk8BVMZaaqA_DvyKV4dlPaWlbaKiZ1Jn18OFnIBECQEoJxB3y0/s1600/qr-map.jpg" width="320" /></a></div>
The Google company said that users of Google Maps on Android, iOS and personal computers can now access the floor plans of 75 places in 22 Indian cities.<br />
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Most of these 75 places are shopping malls but museums and convention halls also find a mention in the list. Similarly, while most of these places are located in big cities like Delhi and Mumbai, some buildings from Raipur and Ludhiana too are a part of the project.<br />
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"We launched indoor maps in countries like the US earlier. Now we are bringing it to India. We worked with mall owners and authorities that manage a place to get the floor plans and location details and have added that information to Google Maps," Suren Ruhela, director and product manager, India Google Maps, told TOI. "For now we are starting with 75 places. But as we get feedback from consumers and work with more partners, we hope to add more places."<br />
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The service, available as part of Google Maps, is already available in countries like the U.S., Japan, Singapore, Hong Kong and the Netherlands.If you want step by step guidance <a href="http://www.google.com/maps/about/partners/indoormaps/" target="_blank">on indoor maps click here</a><br />
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GOOGLE/SEO HOME Indoor Google Maps Introduced In India

The Indoor Google Maps introduced in India last month will be available on Android as well as iOS platform under Maps app section. The ...

How To Set Finincial Goals

10:46 PM Unknown 16

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<ol style="background-color: white; color: #333333; font-family: Verdana; font-size: 12px; line-height: 18px; margin: 1.5em 0px; padding: 0px; position: relative; text-decoration: inherit; z-index: 0;">
<li style="font-family: inherit; font-style: inherit; list-style-type: decimal; margin: 0px 0px 1.5em 30px; padding: 0px; text-decoration: inherit;">Be realistic about how much time and money it will take to accomplish each goal – an estimate that is too low will only frustrate you.</li>
<li style="font-family: inherit; font-style: inherit; list-style-type: decimal; margin: 0px 0px 1.5em 30px; padding: 0px; text-decoration: inherit;">Keep your motivation by revisiting your list frequently to check on your progress.</li>
<li style="font-family: inherit; font-style: inherit; list-style-type: decimal; margin: 0px 0px 1.5em 30px; padding: 0px; text-decoration: inherit;">Setbacks will happen. If something throws you off of your target date, don't give up – set a new date.</li>
<li style="font-family: inherit; font-style: inherit; list-style-type: decimal; margin: 0px 0px 1.5em 30px; padding: 0px; text-decoration: inherit;">Have more goals than you can work on at once? Then, determine which ones are most important to you, and make those your first priority.</li>
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HOME MAKE MONEY ONLINE How To Set Finincial Goals

Be realistic about how much time and money it will take to accomplish each goal – an estimate that is too low will only frustrate you. Ke...

Below Are Useful Tricks And Shortcuts For Quantitative Aptitude For CAT And Other MBA Exams

5:01 AM Sailaja K 0

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1. x^n -a^n = (x-a)(x^(n-1) + x^(n-2) + .......+ a^(n-1) ) ......Very useful for finding multiples. For example (17-14=3 will be a multiple of 17^3 - 14^3)<br />
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2. e^x = 1 + (x)/1! + (x^2)/2! + (x^3)/3! + ........to infinity<br />
Note: 2 <>23. log(1+x) = x - (x^2)/2 + (x^3)/3 - (x^4)/4 .........to infinity [Note the alternating sign . .Also note that the logarithm is with respect to base e]<br />
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3. (m + n)! is divisible by m! * n!<br />
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4. When a three digit number is reversed and the difference of these two numbers is taken, the middle number is always 9 and the sum of the other two numbers is always 9.<br />
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5. Any function of the type y=f(x)=(ax-b)/(bx-a) is always of the form x=f(y)<br />
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6. To Find Square of a 3-Digit Number<br />
Let the number be XYZ<br />
Steps<br />
a.Last digit = Last digit of Sq(Z)<br />
b. Second last digit = 2*Y*Z + any carryover from STEP 1<br />
c. Third last digit 2*X*Z+ Sq(Y) + any carryover from STEP 2<br />
d. Fourth last digit is 2*X*Y + any carryover from STEP 3<br />
e. Beginning of result will be Sq(X) + any carryover from Step 4<br />
Eg) Let us find the square of 431<br />
Step<br />
a. Last digit = Last digit of Sq(1) = 1<br />
b. Second last digit = 2*3*1 + any carryover from STEP 1=6+0=6<br />
c. Third last digit 2*4*1+ Sq(3) + any carryover from STEP 2 = 8+9+0 = 17 i.e. 7 with carryover of 1<br />
d. Fourth last digit is 2*4*3 + any carryover from STEP 3 = 24+1 = 25 i.e. 5 with carryover of 2<br />
e. Beginning of result will be Sq(4) + any carryover from Step 4 = 16+2 = 18<br />
THUS SQ(431) = 185761<br />
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7. If the answer choices provided are such that the last two digits are different, then, we need to carry out only the first two steps only.<br />
-> The sum of first n natural numbers = n(n+1)/2<br />
-> The sum of squares of first n natural numbers is n(n+1)(2n+1)/6<br />
-> The sum of cubes of first n natural numbers is (n(n+1)/2)2/4<br />
-> The sum of first n even numbers= n (n+1)<br />
-> The sum of first n odd numbers= n2<br />
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8. If a number ‘N’ is represented as a^x * b^y * c^z… where {a, b, c, …} are prime numbers, then<br />
-> the total number of factors is (x+1)(y+1)(z+1) ....<br />
-> the total number of relatively prime numbers less than the number is N * (1-1/a) * (1-1/b) * (1-1/c)....<br />
-> the sum of relatively prime numbers less than the number is N/2 * N * (1-1/a) * (1-1/b) * (1-1/c)....<br />
-> the sum of factors of the number is {a^(x+1)} * {b^(y+1)} * ...../(x * y *...)<br />
-> Total no. of prime numbers between 1 and 50 is 15<br />
-> Total no. of prime numbers between 51 and 100 is 10<br />
-> Total no. of prime numbers between 101 and 200 is 21<br />
-> The number of squares in n*m board is given by m*(m+1)*(3n-m+1)/6<br />
-> The number of rectangles in n*m board is given by n+1C2 * m+1C2<br />
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9. If ‘r’ is a rational no. lying between 0 and 1, then, r^r can never be rational.<br />
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10.The number of squares in n*m board is given by m*(m+1)*(3n-m+1)/6<br />
-> The number of rectangles in n*m board is given by n+1C2 * m+1C2<br />
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11. If ‘r’ is a rational no. lying between 0 and 1, then, r^r can never be rational.<br />
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12. Certain nos. to be remembered<br />
-> 2^10 = 4^5 = 32^2 = 1024<br />
-> 3^8 = 9^4 = 81^2 = 6561<br />
-> 7 * 11 * 13 = 1001<br />
-> 11 * 13 * 17 = 2431<br />
-> 13 * 17 * 19 = 4199<br />
-> 19 * 21 * 23 = 9177<br />
-> 19 * 23 * 29 = 12673<br />
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13. Where the digits of a no. are added and the resultant figure is 1 or 4 or 7 or 9, then, the no. could be a perfect square.<br />
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14. If a no. ‘N’ has got k factors and a^l is one of the factors such that l>=k/2, then, a is the only prime factor for that no.<br />
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15. To find out the sum of 3-digit nos. formed with a set of given digits<br />
This is given by (sum of digits) * (no. of digits-1)! * 1111…1 (i.e. based on the no. of digits)<br />
Eg) Find the sum of all 3-digit nos. formed using the digits 2, 3, 5, 7 & 8.<br />
Sum = (2+3+5+7+8) * (5-1)! * 11111 (since 5 digits are there)<br />
= 25 * 24 * 11111<br />
=6666600<br />
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16. Consider the equation x^n + y^n = z^n<br />
As per Fermat’s Last Theorem, the above equation will not have any solution whenever n>=3.<br />
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17. Further as per Fermat, where ‘p’ is a prime no. and ‘N’ is co-prime to p, then, N^(p-1) – 1 is always divisible by p.<br />
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18. 145 is the 3-digit no. expressed as sum of factorials of the individual digits i.e.<br />
145 = 1! + 4! + 5!<br />
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19.Where a no. is of the form a^n – b^n, then,<br />
The no. is always divisible by a - b<br />
Further, the no. is divisible by a + b when n is even and not divisible by a + b when n is odd<br />
<br />
20. Where a no. is of the form a^n + b^n, then,<br />
The no. is usually not divisible by a - b<br />
However, the no. is divisible by a + b when n is odd and not divisible by a + b when n is even<br />
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21. The relationship between base 10 and base ‘e’ in log is given by log10N = 0.434 logeN<br />
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22. WINE and WATER Mixture formula<br />
Let Q - volume of a vessel, q - qty of a mixture of water and wine be removed each time from a mixture, n - number of times this operation is done and A - final qty of wine in the mixture, then,<br />
A/Q = (1-q / Q)^n<br />
<br />
23. Pascal’s Triangle for computing Compound Interest (CI)<br />
The traditional formula for computing CI is<br />
CI = P*(1+R/100)^N – P<br />
Using Pascal’s Triangle,<br />
Number of Years (N)<br />
-------------------<br />
1 1<br />
2 1 2 1<br />
3 1 3 3 1<br />
4 1 4 6 4 1<br />
… 1 .... .... ... ... ..1<br />
Eg: P = 1000, R=10 %, and N=3 years. What is CI & Amount?<br />
<br />
Step 1:<br />
Amount after 3 years = 1 * 1000 + 3 * 100 + 3 * 10 + 1 * 1 = Rs.1331<br />
The coefficients - 1,3,3,1 are lifted from the Pascal's triangle above.<br />
<br />
Step 2:<br />
CI after 3 years = 3*100 + 3*10 + 3*1 = Rs.331 (leaving out first term in step 1)<br />
If N =2, we would have had,<br />
Amt = 1 * 1000 + 2 * 100 + 1 * 10 = Rs.1210<br />
CI = 2 * 100 + 1* 10 = Rs.210<br />
<br />
24. Suppose the price of a product is first increased by X% and then decreased by Y% , then, the final change % in the price is given by:<br />
Final Difference% = X - Y - XY/100<br />
Eg. The price of a T.V set is increased by 40 % of the cost price and then is decreased by 25% of the new price. On selling, the profit made by the dealer was Rs.1000. At what price was the T.V sold?<br />
Applying the formula,<br />
Final difference% = 40 – 25 - (40*25/100) = 5 %.<br />
So if 5 % = 1,000<br />
Then, 100 % = 20,000.<br />
Hence, C.P = 20,000<br />
& S.P = 20,000+ 1000= 21,000<br />
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25. Where the cost price of 2 articles is same and the mark up % is same, then, marked price and NOT cost price should be assumed as 100.<br />
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26. -> Where ‘P’ represents principal and ‘R’ represents the rate of interest, then, the difference between 2 years’ simple interest and compound interest is given by P * (R/100)^2<br />
-> The difference between 3 years’ simple interest and compound interest is given by (P * R2 *(300+R))/1003<br />
<br />
27. -> If A can finish a work in X time and B can finish the same work in Y time then both of them together can finish that work in (X*Y)/ (X+Y) time.<br />
-> If A can finish a work in X time and A & B together can finish the same work in S time then B can finish that work in (XS)/(X-S) time.<br />
-> If A can finish a work in X time and B in Y time and C in Z time then all of them working together will finish the work in (XYZ)/ (XY +YZ +XZ) time<br />
-> If A can finish a work in X time and B in Y time and A, B & C together in S time then<br />
C can finish that work alone in (XYS)/ (XY-SX-SY)<br />
B+C can finish in (SX)/(X-S); and<br />
A+C can finish in (SY)/(Y-S)<br />
<br />
28. In case ‘n’ faced die is thrown k times, then, probability of getting atleast one more than the previous throw = nC5/n5<br />
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29.-> When an unbiased coin is tossed odd no. (n) of times, then, the no. of heads can never be equal to the no. of tails i.e. P (no. of heads=no. of tails) = 0<br />
-> When an unbiased coin is tossed even no. (2n) of times, then, P (no. of heads=no. of tails) = 1-(2nCn/22n)<br />
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30. Where there are ‘n’ items and ‘m’ out of such items should follow a pattern, then, the probability is given by 1/m!<br />
Eg:1. Suppose there are 10 girls dancing one after the other. What is the probability of A dancing before B dancing before C?<br />
Here n=10, m=3 (i.e. A, B, C)<br />
Hence, P (A>B>C) = 1/3! = 1/6<br />
Eg:2. Consider the word ‘METHODS’. What is the probability that the letter ‘M’ comes before ‘S’ when all the letters of the given word are used for forming words, with or without meaning?<br />
P (M>S) = 1/2!<br />
= 1/2<br />
<br />
31. CALENDAR<br />
-> Calendar repeats after every 400 years.<br />
-> Leap year- it is always divisible by 4, but century years are not leap years unless they are divisible by 400.<br />
-> Century has 5 odd days and leap century has 6 odd days.<br />
-> In a normal year 1st January and 2nd July and 1st October fall on the same day. In a leap year 1st January 1st July and 30th September fall on the same day.<br />
-> January 1, 1901 was a Tuesday.<br />
<br />
32. -> For any regular polygon, the sum of the exterior angles is equal to 360 degrees, hence measure of any external angle is equal to 360/n (where n is the number of sides)<br />
-> For any regular polygon, the sum of interior angles =(n-2)*180 degrees<br />
So measure of one angle is (n-2)/n *180<br />
-> If any parallelogram can be inscribed in a circle, it must be a rectangle.<br />
-> If a trapezium can be inscribed in a circle it must be an isosceles trapezium (i.e. oblique sides equal).<br />
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33. For an isosceles trapezium, sum of a pair of opposite sides is equal in length to the sum of the other pair of opposite sides (i.e. AB+CD = AD+BC, taken in order)<br />
<br />
34. -> For any quadrilateral whose diagonals intersect at right angles, the area of the quadrilateral is<br />
0.5*d1*d2, where d1, d2 are the length of the diagonals.<br />
-> For a cyclic quadrilateral, area = root((s-a) * (s-b) * (s-c) * (s-d)), where s=(a + b + c + d)/2<br />
Further, for a cyclic quadrilateral, the measure of an external angle is equal to the measure of the interior opposite angle.<br />
-> Area of a Rhombus = Product of Diagonals/2<br />
<br />
35. Given the coordinates (a, b); (c, d); (e, f); (g, h) of a parallelogram , the coordinates of the meeting point of the diagonals can be found out by solving for<br />
[(a + e)/2, (b + f)/2] = [(c + g)/2, (d + h)/2]<br />
<br />
36. Area of a triangle<br />
-> 1/2*base*altitude<br />
-> 1/2*a*b*sin C (or) 1/2*b*c*sin A (or) 1/2*c*a*sin B<br />
-> root(s*(s-a)*(s-b)*(s-c)) where s=(a+b+c)/2<br />
-> a*b*c/(4*R) where R is the circumradius of the triangle<br />
-> r*s ,where r is the inradius of the triangle<br />
<br />
37. In any triangle<br />
-> a=b*cos C + c*cos B<br />
-> b=c*cos A + a*cos C<br />
-> c=a*cos B + b*cos A<br />
-> a/sin A=b/sin B=c/sin C=2R, where R is the circumradius<br />
-> cos C = (a^2 + b^2 - c^2)/2ab<br />
-> sin 2A = 2 sin A * cos A<br />
-> cos 2A = cos^2 (A) - sin^2 (A)<br />
<br />
38. The ratio of the radii of the circumcircle and incircle of an equilateral triangle is 2:1<br />
<br />
39. Appollonius Theorem<br />
In a triangle ABC, if AD is the median to side BC, then<br />
AB2 + AC2 = 2(AD2 + BD2) or 2(AD2 + DC2)<br />
<br />
40. -> In an isosceles triangle, the perpendicular from the vertex to the base or the angular bisector from vertex to base bisects the base.<br />
-> In any triangle the angular bisector of an angle bisects the base in the ratio of the other two sides.<br />
<br />
41. The quadrilateral formed by joining the angular bisectors of another quadrilateral is always a rectangle.<br />
<br />
42. Let W be any point inside a rectangle ABCD, then,<br />
WD2 + WB2 = WC2 + WA2<br />
<br />
43. Let a be the side of an equilateral triangle, then, if three circles are drawn inside this triangle such that they touch each other, then each circle’s radius is given by a/(2*(root(3)+1))<br />
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44. -> Distance between a point (x1, y1) and a line represented by the equation ax + by + c=0 is given by ax1+by1+c/Sq(a2+b2)<br />
-> Distance between 2 points (x1, y1) and (x2, y2) is given by Sq((x1-x2)2+ (y1-y2)2)<br />
<br />
45. Where a rectangle is inscribed in an isosceles right angled triangle, then, the length of the rectangle is twice its breadth and the ratio of area of rectangle to area of triangle is 1:2.<br />
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FACEBOOK HOME Below Are Useful Tricks And Shortcuts For Quantitative Aptitude For CAT And Other MBA Exams

1. x^n -a^n = (x-a)(x^(n-1) + x^(n-2) + .......+ a^(n-1) ) ......Very useful for finding multiples. For example (17-14=3 will be a multiple...