The 11 Rule Expanded

You can directly write down the answer to any number multiplied by 11.

• Take for example the number 51236 X 11.
• First, write down the number with a zero in front of it. 051236
  The zero is necessary so that the rules are simpler.
  
• Draw a line under the number.
• Bear with me on this one. It is simple if you work through it slowly. To do this, all you have to do this is "Add the neighbor". Look at the 6 in the "units" position of the number. Since there is no number to the right of it, you can't add to its "neighbor" so just write down 6 below the 6 in the units col.
• For the "tens" place, add the 3 to the its "neighbor" (the 6). Write the answer: 9 below the 3.
• For the "hundreds" place, add the 2 to the its "neighbor" (the 3). Write the answer: 5 below the 2.
• For the "thousands" place, add the 1 to the its "neighbor" (the 2). Write the answer: 3 below the 1.
• For the "ten-thousands" place, add the 5 to the its "neighbor" (the 1). Write the answer: 6 below the 5.
• For the "hundred-thousands" place, add the 0 to the its "neighbor" (the 5). Write the answer: 5 below the 0.
  That's it ... 11 X 051236 = 563596

Square a 2 Digit Number, for this example 37:

• Look for the nearest 10 boundary
• In this case up 3 from 37 to 40.
• Since you went UP 3 to 40 go DOWN 3 from 37 to 34.
• Now mentally multiply 34x40
• The way I do it is 34x10=340;
• Double it mentally to 680
• Double it again mentally to 1360
• This 1360 is the FIRST interim answer.
• 37 is "3" away from the 10 boundary 40.
• Square this "3" distance from 10 boundary.
• 3x3=9 which is the SECOND interim answer.
• Add the two interim answers to get the final answer.
• Answer: 1360 + 9 = 1369

With practice this can easily be done in your head.

Square a 2 Digit Number Ending in 5

For this example we will use 25

• Take the "tens" part of the number (the 2 and add 1)=3
• Multiply the original "tens" part of the number by the new number (2x3)
• Take the result (2x3=6) and put 25 behind it. Result the answer 625.

Try a few more 75 squared ... = 7x8=56 ... put 25 behind it is 5625.
55 squared = 5x6=30 ... put 25 behind it ... is 3025. Another easy one!
Practice it on paper first!

Finger Math: 9X Rule

To multiply by 9,try this:
(1) Spread your two hands out and place them on a desk or table in front of you.
(2) To multiply by 3, fold down the 3rd finger from the left. To multiply by 4, it would be the 4th finger and so on.
(3) the answer is 27 ... READ it from the two fingers on the left of the folded down finger and the 7 fingers on the right of it.

This works for anything up to 9x10!

The 11 Rule

You likely all know the 10 rule (to multiply by 10, just add a 0 behind the number) but do you know the 11 rule? It is as easy! You should be able to do this one in you head for any two digit number. Practice it on paper first! To multiply any two digit number by 11:

• For this example we will use 54.
• Separate the two digits in you mind (5__4).
• Notice the hole between them!
• Add the 5 and the 4 together (5+4=9)
• Put the resulting 9 in the hole 594. That's it! 11 x 54=594

The only thing tricky to remember is that if the result of the addition is greater than 9, you only put the "ones" digit in the hole and carry the "tens" digit from the addition. For example 11 x 57 ... 5__7 ... 5+7=12 ... put the 2 in the hole and add the 1 from the 12 to the 5 in to get 6 for a result of 627 ... 11 x 57 = 627
Practice it on paper first!

Multiply Up to 20X20 In Your Head

Multiply Up to 20X20 

In just FIVE minutes you should learn to quickly multiply up to 20x20 in your head.  With this trick, you will be able to multiply any two numbers from 11 to 19 in your head quickly, without the use of a calculator. I will assume that you know your multiplication table reasonably well up to 10x10.
Try this:

• Take 15 x 13 for an example.
• Always place the larger number of the two on top in your mind.
• Then draw the shape of Africa mentally so it covers the 15 and the 3 from the 13 below. Those covered numbers are all you need.
• First add 15 + 3 = 18
• Add a zero behind it (multiply by 10) to get 180.
• Multiply the covered lower 3 x the single digit above it the "5" (3x5= 15)
• Add 180 + 15 = 195.

Tricks of India touching country and remembering Indian states

Tricks of India touching country and remembering Indian states

Hello friends this tutorial I have tech you India touching countries something like that Pakistan, Bangladesh, Myanmar and China. I have told the tricks of other country touching Indian states.

First up all tell Pakistan touching Indian state the tricks is given by “PARAG JAMMU GAYA”
I explain this trick

1. Pa = Punjab
2. Ra = Rajasthan
3. G = Gujarat
4. Jammu = Jammu & Kashmir

Second one is Myanmar touching Indian state the tricks is given by “MINA MYA AM”
I explain this trick

1. Mi = Mizoram
2. Na = Nagaland
3. Mya = Myanmar
4. A = Assam
5. M = Meghalaya

Third one is Bangladesh touching Indian state the tricks is given by “BAAP MERA AMITRA”

1. Ba =Bangladesh
2. P =Pacchim (west) Bengal
3. Me = Meghalaya
4. A = Assam
5. Mi = Mizoram
6. Tra = Tripura

Fourth one is China touching Indian state the tricks is “HI AAJ CHI USI”

1. Hi =Himachal Pradesh
2. Aa = Arunachal Pradesh
3. J = Jammu and Kashmir
4. Si = Sikkim

Fifth one is Bhutan touching India state the tricks is “SAAB”

1. S = SIKKIM
2. A = ARUNACHAL PRADESH
3. A = ASSAM
4. B = BENGAL

I hope this tricks are helpful for you. Thanks for reading this article.

List of Mughal Emperors

Titular Name	Birth Name	Reign
Bābur	Zahir-ud-din Muhammad	1526 –1530
Humayun	Nasir-ud-din Muhammad Humayun	1530 –1540 & 1555-1556
Akbar-e-Azam	Jalal-ud-din Muhammad Akbar	1556 –1605
Jahangir	Nur-ud-din Muhammad Salim	1605 –1627
Shah-Jahan-e-Azam	Shahab-ud-din Muhammad Khurram	1627 –1658
Alamgir	Muhy-ud-din Muhammad Aurangzeb	1658 –1707
Azam Shah	Abu'l Faaiz Qutb-ud-Din Muhammad Azam	14 March 1707 – 8 June 1707
Bahadur Shah	Qutb ud-Din Muhammad Mu'azzam	1707 –1712
Jahandar Shah	Ma'az-ud-Din Jahandar Shah Bahadur	1712 –1713
Farrukhsiyar	Farrukhsiyar	1713 –1719
Rafi ud-Darajat	Rafi ud-Darajat	28 February 1719– 6 June 1719
Shah Jahan II	Rafi ud-Daulah	6 June 1719 – 19 September 1719
Muhammad Shah	Roshan Akhtar Bahadur	1719 –1748
Ahmad Shah Bahadur	Ahmad Shah Bahadur	1748 – 1754
Alamgir II	Aziz-ud-din	1754 – 1759
Shah Jahan III	Muhi-ul-millat	1759 – 1760
Shah Alam II	Ali Gauhar	1759 – 1806
Akbar Shah II	Mirza Akbar	1806 – 1837

Top 10 Gold Medal Winners at the Olympics

Here you can find the top 10 list of Gold Medal Award Winners at the Olympics. The questions can be asked from this list in the upcoming competitive exams.

Name of the Sportsperson	Sport	Olympics	Gold
Micheal Phelps (USA)	Swimming	2004-2008	14
Larissa Latynina(Soviet Union)	Gymnastics	1956-64	9
Paavo Nurmi(Finland)	Athletics	1920-1928	9
Mark Spitz (USA)	Swimming	1968-1972	9
Carl Lewis (USA)	Athletics	1984-1996	9
Bjorn Daehlie(Norway)	Cross-country skiing	1992-1998	8
Birgit Fischer (Germany)	Canoeing	1980-2004	8
Sawao Kato (Japan)	Gymnastics	1968-1976	8
Jenny Thompson(USA)	Swimming	1992-2004	8
Matt Biondi(USA)	Swimming	1984-1992