**Square of a number**

From 1 to 30 (this is damn easy) You need to remember. Based on this We are going to explain square of a number from 31 to 100.

**31 to 100 is divided into 3 parts**

- 31 to 50
- 51 to 80
- 81 to 100

**From 31 to 50:**

**Find the square of 38.**

**First Step :**

12

^{2}= 50 - 12 (haan bhai haan fir se 50 )**Second Step :**

Last 2 Digit : 12

^{2}= 144 =44 (1 Carry)
First 2 Digit : 25 - 12+1 =14

25 hamesha ki tarah Constant ..You need to add

12 comes from (50-12)

1 upar wala carry

Final answer =1444 (First 2 Digit Last 2 Digit)

38

^{2 }= 1444**Find the Square of 47.**

**First Step :**

47 =50 - 03

**Second Step :**

Last 2 Digit : 09 ( kaise ? 3 ka Sqaure ) Carry ? Zero

First 2 Digit : 25 - 03 + 0 = 22

25 constant …yaad rakho

03 comes from 50 - 03

Carry to zero hi aya tha

So final Answer is 2209 (First 2 Digit Last 2 Digit)

47

^{2 }= 2209

**Rapid Fire Round !**

**1) Find the Square of 33.**

33 =50 - 17

Last 2 Digit =289 =89 ( 2 carry)

First 2 Digit =25 - 17 + 2 =10

Final Answer =1089

**2) Find the square of 42.**

42 = 50 - 08

Last 2 Digit = 64 ( Carry Zero)

First 2 Digit = 25 - 8 + 0 =17

Final Answer =1764

**3) Find the Square of 45.**

Last 2 Digit =25

First 2 Digit =4*(4+1) =20

Final Answer =2025

**Let’s see 51 to 80 :**

**Find the Square of 62**

**First Step –**50+12 ( Yes, every time You have to think like this 50 + )

{If the number is 72 We will write 50+22}

**Second Step –**4 Digit number is the answer ( From 32 to 99 Every Number Square has 4 Digits)

**Last 2 Digit :**12

^{2}= 144 = 44 ( 1 will be carry )

**First 2 Digit :**25 + 12 + 1 = 38

25 is constant number for every number 51-80 You have to add this!!

12 comes from (50+12)

So our final result is 3844 (See First 2 Digit and Last 2 Digit above)

62

^{2 }= 3844**Thoda to jarur samjh me aaya hoga ? Solve another question**

**Find the Square of 77**

50 +27 ( Every time You have to think like this)

_ _ _ _ — First 2 Digit Last 2 Digit

Last 2 Digit : 27

^{2}=729 = 29 ( 7 is carry )

First 2 Digit : 25+27+ 7 =59

25 is constant as I said before You have to add every time this number!!

27 comes from (50+27)

How to add 25+27+7?

(Thought process will go like this 25+(25+2)+7=(25+25+9) =(50+9=59)

So Final Answer is .. 5929

Hmm ..You can do it fast …just You need practice …Ghar me Practice karoge to Exam me without putting pen on the Paper You can do it.

**Lets Solve few examples in Simple way**

**1)Find the Square of 53 ?**

Last 2 Digit =09 ( No Carry here )

First 2 Digit =25+3+0 =28

**2)Find the Square of 66 ?**

Last 2 Digit =256=56 ( 2 Carry )

First 2 Digit =25+16+2 =43

**3)Find the Square of 75 ?**

Don’t use above method

First 2 Digit =7(7+1) =56

**Now, let’s see for 81 to 100 :**

**Find the square of 88**

**First Step :**

88=100 -12 ( Yes 100-12 Only , not 50+38 or 80+8 )

{If the number is 92 then we have to think like 100-8}

**Second Step :**

_ _ _ _ 4 Digit number is the answer.As I said before Square of any number b/w 32 and 99 has 4 digits.

Last 2 Digit : 12

^{2}= 144 = 44 (1 carry )

First 2 Digit : 88 – 12 + 1 =77

88 is the given number jiska hum square find kar rhe he

12 comes from 100-12

1 is as usual carry ( 100-12 doesn’t mean that we have to minus 1 from

the number..here also we add )

So our final Answer is 7744 (First 2 Digit Last 2 Digit)

88

^{2 }= 7744**(Btw this number is Special,No other number square has this**

**form XXYY)**

Let’s do another sum

**Find the Square of 92 .**

First Step :

First Step :

92 =100-8 ( Yes 100-8 only ,don’t confuse with 50+ )

**Second Step :**

Last 2 Digit : 8

^{2}= 64 ( It’s only the last 2 Digit …No carry)
First 2 Digit : 92-8+0 =84

92 is given number

8 is from 100-8

O is carry ( Carry to Anda hi aaya tha )

Final Answer is 8464 ( First 2 Digit Last 2 Digit )

92

^{2}=8464**Rapid Fire Round !**

**1)Find the square of 96.**

96=100-4

Last 2 Digit =16 (How come 16 ? 4 ka Square ) Carry Zero

First 2 Digit =96-4+0 =92

Final Answer =9216

**2) Find the Square of 81.**

81 =100-19

Last 2 Digit = 19

^{2}= 361 =61 (Carry 3)
First 2 Digit =81-19+3 =65

Final Answer =6561

**3) Find the Square of 85.**

Last 2 Digit =25

First 2 Digit =8*(8+1) =72

Final Answer =7225