Basic Number Theory

Square of every even Number = An even Number Sum of first ‘n’ natural numbers = {n(n+1)}/2 Sum of first ‘n’ odd numbers = n2 Sum of first ‘n’ even numbers = n(n+1) Sum of square of first ‘n’ natural numbers = {n(n+1)(2n+1)}/6 Sum of cubes of first ‘n’ natural numbers = {n(n+1)/2}2 There are 15 prime numbers between 1 & 50 and 10 prime numbers between...

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How to find Unit Place Digit Phase 2

We have already found the units place digit for some numbers like 0, 1, 5, 6 and 2. So far we have seen that there are some numbers for which we don’t need any explanation to find out their units place digit. Here we come to find the units place digit of 3, 4, 8, and 7. Let’s take a look: If Units place digit is 4 or 8, then we should first...

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How to find Unit place Digit

Finding Unit place digit is very easy when it comes to multiplication of nay two or more numbers. Multiply the last digits of the numbers and you get the result. But what if a number is given with power of two or three or more digits to it. It’s not as hard as you imagine. Let’s take a look: If the unit place digit is 0 or 1 or 5 or 6 then the...

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Daily GK update 14th May 2018

1. Petrol price hiked after 19 days: Ending the 19 days freeze on the hike in petrol and diesel prices, the oil marketing companies on Monday May 14, 2018 increased the petrol price by 17 paisa a liter while the diesel price was hiked by 21 paisa. 2. Fortis board went against Financial Advisers on Munjal-Burman bid: The much wooed Fortis Healthcare may have...

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Square of 666 Or Square of 666

The traditional method of finding Squares has now become extinct. There are lot more easier way to find out the Squares. We are going to find out the Square of 666 or 6666 with a lot more easiest way. Let’s take a look: (666)2 = 443556  (6666)2 = 44435556 Note: To find out this square we have used and what you always have to keep in mind is...

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Multiplication of Consecutive Even/Odd Numbers with gap of 2 or 4 or 6

Here are some new tricks on Multiplication of two consecutive even or odd numbers where the difference in between theme is 2 or 4 or 6 etc. Let’s take a look:    Multiplication with gap of 2:  12 * 14                29 * 31             ...

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Daily GK Update 12th May 2018

          1.   World’s Largest Ecommerce deal took place between Walmart and Flipkart: US based eCommerce giant Walmart has confirmed that it will buy 77% stake of Indian origin eCommerce firm Flipkart for $16 billion. 2.     According to Forbes The most powerful people in the World: PM Modi placed...

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Squares of 333, Squares of 3333

Finding the square of 333 or 3333 is as simple as to find the square of 222 or 2222. But in that case you have to multiply a larger number. Instead we have made it simpler than that of finding 222. Lets’ take a look:  (333)2 = 110889    ,      (3333)2 = 11108889 [Note: To find out square of 33 or 333 or 3333 keep...

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Square of Two Digits, Three digits of same number

Find the squares of same numbers as fast as it can be done. Time is limited, so we need to utilize it. Lets’ take a look: (11)2 = 121. The square of 11 is known to everyone. But what if the number of digits of 1 increases like 111 or 1111 or 11111? No problem. Here are examples and solutions on the squares of 111 or squares of 1111 or squares of 11111. (111)2 = 12321     ,     (1111)2 = 1234321    ,      (11111)2 = 123454321 Here...

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Daily GK Update 11th May 2018

1. Nation Technology Day: 11 May      National Technology Day is celebrated to memorize the anniversary of “Shakti: The Pokhran Nuclear Test” Which was held in 11th of May 1998 2. RBI puts Dena Bank under Corrective Action: The public sector lender DENA BANK on 11th of May 2018 reported the widening of its net loss to Rs. 1,225.42 crore in the March...

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Types of Numbers

Natural Numbers:        Natural numbers are counting numbers. They are denoted by ‘N’.                  N = {1, 2, 3, …}  Whole Numbers:       All natural numbers and zero form the set of whole numbers. Whole numbers are denoted by ‘W’.       W...

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