Multiplying Complementary Pairs..must try very useful

Multiplying Complementary Pairs

Quick! What's 23 x 27?

621

There's a trick to doing this quickly. Can you see a pattern in these multiplications?

42 x 48 = 2016

43 x 47 = 2021

44 x 46 = 2024

54 x 56 = 3024

64 x 66 = 4224

61 x 69 = 4209

111 x 119 = 13209

In each pair above, the numbers being multiplied are complementary: they are the same number except for the rightmost digit, and the rightmost digits add to 10.

The trick to multiplying complementary pairs is to take the rightmost digits and multiply them; the result forms the two rightmost digits of the answer. (So in the last example 1 x 9 = 09.) Then take the first number without its rightmost digit, and multiply it by the next higher whole number; the result forms the initial digits of the answer. (So in the last example: 11 x 12 = 132. Voila! The answer is 13209.)

The Math Behind the Fact :
This trick works because you are multiplying pairs of numbers of the form 10*N+A and 10*(N+1)-A, where N is a whole number and A is a digit between 1 and 9. A little algebra shows their product is :

100*N*(N+1) + A*(10-A)

The first term in the sum is a multiple of 100 and it does not interact with the last two digits of sum, which is never more than two digits long.

To be a Good Proffessional ENGINEER always....

To be a Good Proffessional ENGINEER always start to study late for Exams
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because it teaches how to manage Time and tackle Emergencies...

Amazing Photographs with Optical Illusions && CAREFUL IT IS HOT!

Careful. It's HOT!!

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"Face of Paris" optical illusion

Optical illusion cow

Optical illusion of depressed faces in the rocks.

 “Oldboy” optical illusion.

 Dog reading a book sitting in a showroom in this illusionary picture.

The birds do look so much like a caterpillar that photographer José Luis Rodríguez named the image Oruga de Plumas, or “caterpillar of feathers.” 

 Can you spot the camel in the palm trees? Maybe this is photo-shopped?!

Dancing Tree Optical Illusion is a snapshot taken of an actual tree. The roots and branches form the figure of a woman dancer or a ballerina. These little sitings are one of mother natures ways of showing us her unique beauty.

An Alternative to NANO- You got to see this $600 car from China coming soon (INR::Rs 27965)

The Chinese Car is coming soon! 

This will beat all the low fuel consumption cars in the world!

NEW CAR- FOR $600------- New Single Seat VW (INR :: Rs 27965)

New ride 

If you could go to Shanghai for a vacation, buy two or more of these cars, one for your wife and one for yourself, and one for each of your kids, have them shipped to Canada and still spend less money than if you bought a car in Canada. Getting the car(s) into USA , still an ordeal. 

This is not a toy, not a concept car. It is a newly developed single seat car in highly aerodynamic tear-shape road-proven real car. It is ready to be launched as a single-seater for sale in Shanghai in 2010 for a mere RMB 4,000 (US$600)! 

Interested? Wait till you learn that it will cruise at 100-120 Km/Hr with an unbelievable 0.99litre/100Km (258 miles/gallon)! 

Impressed? Totally, after you have read all the details below about the hi-tech and space-age material input into this car!

The Most Economic Car in the World will be on sale next year 

Better than Electric Car - 258 miles/gallon: IPO 2010 in Shanghai 

This is a single seated car 

From conception to production : 3 years and the company is headquartered in Hamburg, Germany. 

Will be selling for 4000 yuan, equivalent to US$600..(INR :: Rs 27965) 

Gas tank capacity = 1.7 gallons 

Speed = 62 - 74.6 Miles/hour 

Fuel efficiency = 258 miles/gallon 

Travel distance with a full tank = 404 miles 

* As on 16/05/2010

Someday You'll Cry For....

Absolutely Brilliant....Euro-English

The European Commission has just announced an agreement whereby English will be the official language of the European Union rather than German, which was the other possibility. As part of the negotiations, the British Government conceded that English spelling had some room for improvement and has accepted a 5- year phase-in plan that would become known as “Euro-English”.
In the first year, “s” will replace the soft “c”.. Sertainly, this will make the sivil servants jump with joy. The hard “c” will be dropped in favour of “k”. This should klear up konfusion, and keyboards kan have one less letter.
There will be growing publik enthusiasm in the sekond year when the troublesome “ph” will be replaced with “f”.. This will make words like fotograf 20% shorter.
In the 3rd year, publik akseptanse of the new spelling kan be expekted to reach the stage where more komplikated changes are possible.

Governments will enkourage the removal of double letters which have always ben a deterent to akurate speling.Also, al wil agre that the horibl mes of the silent “e” in the languag is disgrasful and it should go away.
By the 4th yer people wil be reseptiv to steps such as replasing “th” with “z” and “w” with “v”.
During ze fifz yer, ze unesesary “o” kan be dropd from vordskontaining “ou”.

And after ziz fifz yer, ve vil hav a reil sensi bl riten styl.Zer vil be no mor trubl or difikultis and evrivun vil find it ezi TU understand ech oza. Ze drem of a united urop vil finali kum tru.Und efter ze fifz yer, ve vil al be speking German like zey vunted in ze forst plas.

If zis mad you smil, pleas pas on to oza pepl.

Feet Facts

More Cool Posts at :

www.worldrarecollection.blogspot.in

The Benefits of Waking Up Early

Early to bed and early to rise makes you healthy, wealthy as well as wise. And that is not merely an age-old saying. It works in daily life too. Read on to know how.

1. Time to Exercise
Waking up early gives you the time to exercise. You can easily go for a jog, do a few laps in the pool, practice yoga or hit the gym with plenty of time at hand.

2. Time to Meditate
There is nothing like beginning the day with a dose of meditation. It will help calm your mind and sharpen your reflexes to keep you going through your busy schedule of work.

3. Experience the Charm of Early Morning
Only an early morning person knows the charm and serenity that those hours offer. The silence, the birds chirping, the absence of cars honking, and the sunrise are all advantages only early rising can offer.

4. Increase Productivity and Efficiency
A study conducted at the Texas University in 2008 revealed that early risers are more prone to be productive and efficient at work. In fact, students who wake up early are known to get higher grades than those who wake up late.

5. Eating Breakfast
Breakfast is known to be the most important meal of the day. Often, you may land up skipping it if you are running late for work. An early start to the day ensures that this significant meal is never given the slip.

6. Less Stress
Giving you ample time to get ready on time, waking up early ensures that you suffer less stress. Beat the traffic and drive to work at ease.
Join the Fastest Growing Group in this category

7. Set Routine
Once you get into the habit of rising early, you are able to set a routine and that obviously leads to better productivity not only at work, but also on the home front and as an individual.

8. Brighter Mood
Early risers are known to be happier and more optimistic than night owls. The latter are known to suffer depression, insomnia and pessimism. The bright start with exercise and optimism is bound to keep you feeling energised and optimistic all day.

9. Better Health
Proper routine and exercise are known factors in ensuring better health in the long run. Waking up early ensures you set aside time to work out. Late risers lack the advantage of time for this.

10. Better Finances
Improved health, enhanced productivity and ameliorated energy can only result in one thing – a higher rate of success. And when this happens in your career, can financial triumph be far behind? So, rise early to kickstart a really great way of doing well in the professional sphere as well.

The benefits of waking up early are myriad. It doesn’t take much to change your lifestyle to avail these benefits. After all, personal and professional well-being, and ultimate success are what everyone seeks. So, why not adopt a healthier way of living and reap those benefits?

Isse Bada PJ Kaha Milega -

Girl to shopkeeper : Aapke Paas Calculator Hai.?.
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Shopkeeper : Casio.?
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Girl : Mai thik hu, Aap Sunao. :D

Treatment For Sweating

What is Sweating :

Sweating is when liquid comes to the surface of your skin via sweat glands. You see this happening a lot in hot, stressful situations, or with anxious, nervous people.

Sweat is commonly found under the arms, on the feet, and on the palms of the hands. Almost everyone sweats as a normal reaction to stress such as heat or exercise. This condition is called hyperhidrosis and occurs in one out of twenty people worldwide.

Remedies for Sweating :
* Drink one cup of tomato juice everyday for 1 week. The following week, Drink 1 cup of the juice, every other day. Then drink when needed.

* Eat foods that contain a lot of zinc, as this has been shown to curtail sweat odors. Zinc rich foods can consist of whole grains, nuts, legumes and turkey.

* Eat foods that contain a lot of zinc, as this has been shown to curtail sweat odors. Zinc rich foods can consist of whole grains, nuts, legumes and turkey.

* A smaller amount of daily salt intake and eat more calcium-rich foods such as milk, American cheese and yogurt.

* Wear natural fabrics, like cotton. Man made fabrics do not allow your skin to breathe and make the sweat stay on your skin without being able to evaporate.

* Spray deodorant or talc after shower.

* Soak cotton wool pads in baking soda and powder the underarms.

* Slice a potato and wipe it under each clean and dry underarm a few times. Wait for it to dry and then apply deodorant.

* Apply some lemon juice on underarms after you get out of the shower to prevent the body odor.

* Mix 2 teaspoons of honey (preferably organic) with 2 teaspoons of apple cider vinegar. This mixture should be drunk on an empty stomach 3 times each day.

India 's Hyderabad Mango Festival / Competition