गुरुवार, जून 04, 2015

Fast calculate square of numbers ending with 5

Last update-:  01/01/2017

Fast calculate square of numbers ending with "5"

Friends , kya aap niche diye question ko 5 seconds me solve kar sakte hai ??

                        105² = ??  
             
Agar aapka answer "yes" hai to "great and keep it up" but agar aapka answer "No" hai, to don't worry iss amazing and fantastic  shortcut tricks ko read karne k baad aap bhi kahenge "Yes I can do it . "

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Friends aaj mai aapko bataunga how to calculate square of numbers ending with 5 ?
Matalab jis number k ending me 5 ho to uss numbers ka square fast calculate kaise karte hai ?

Fast calculate square of numbers ending with 5

Ending me 5 hone ka matalab kya hai ?

Ending me 5 hone ka matalab shirf itana hai ki last digit ( ones place ) par 5 hona chaahiye.

For Ex-. 15,125, 35, 75 .....etc.

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Chaliye aaj ka square trick start karte hai.

Trick ka rule -:

Vaise to iss trick ko batane k liye trick k rule ki jarurat nhi padati. Mai aapko direct bata sakta hu , but aapko ye trick achhe se samjh aaye issliye trick ka rule jaruri hai.
Chaliye trick ka rule batata hu.

Maan lijiye "N5" ek number hai. Jiska last digit "5" hai .Jaha"N"=1,2,3,4........etc.
"N5" ka square karna hai tab trick ka rules -:
         
               (N5)² = (N+1)×N/25    
                 

[Note-: Upper diye rules me"/" ka matalab "divide " nhi hai. Iska use kewal 2 number ko alag-alag likhane k liye kiya gaya hai.]

Also read-:
• Trigonometry ka basic concept in hindi part-1
• Kya aapko koi help mathematics me chahiye?

Chaliye ek simple example se tricks k rules ko apply Karna shikhate hai.

Ex-1.        25 ka square =?
Trick -:  Tricks ka rules -
        (N5)² =(N+1)×N/25
Iss example me "N"= 2
        (25)² = (2+1)×2/25
                   = (3)×2/25
                   =6/25
                   =625
25 ka square =625 Ans. 

Aayiye kuch aor example dekhate hai-:

Ex-2.     15² = ??
Tricks-:
           N = 1 , using formula -:
    15² = (1+1)×1/25
           = 2×1/25
           = 225 Ans.

Ex-3.      35² = ??
Trick -:  N = 3
Formula use karne par -:
      35² = (3+1)×3/25
             = 4×3/25
             = 12/25
             = 1,225 Ans.

Ex-4.        55² = ??
N = 5
Using formula -:
 55² = (5+1)×5/25
        = 6×5/25
        = 30/25
        = 3,025 Ans.

Ex-5.   85² = ??
 Trick -:  N = 8
              85² = (8+1)×8/25
                     = 72/25
                     = 7,225 Ans.



Ex-6.     105² = ??
Trick-:     105 k liye "N" = 10
Ab formula ka use karne par-:

105² = (10+1)×10/25
         = 11×10/25
         = 110/25
         = 11,025  Ans.

Ex-7.       145² = ??
Ab hum direct karte hai.

145² = (14+1)×14/25
        = 15×14/25
        = 210/25
        = 21,025  Ans.

Ex-8.          175² = ??
Just in second -:

175²= 17×18/25
       = 306/25
       = 30,625 Ans.

Ex-9.         205² = ??
Trick-:  
205² = 21×20/25
       = 420/25
       = 42,025 Ans.

Aayiye ek last example dekhate hai-:

Ex-10.     355² = ??
Trick-:  N = 35
Formula use karne par-:

355² = (35+1)×35/25
        = 36×35/25
       = 1260/25
       = 1,26,025 Ans.

Friends dekha aapne , iss simple si trick se hum kitana fast square calculate kar sakte hai.
I hope aapko pasand aaya hoga.
Now ,  It's  your time -:
Friends ab aapki baari,
 niche diye questions ko iss trick se solve kare aor mujhe comment kark bataye ki aapne inn questions ko kitane seconds me solve kiya.

#Q-1.     45²  =??
#Q-2.     75²  = ??
#Q-3.     125²  = ??
#Q-4.     155² = ??
#Q-5.     195²  = ??
#Q-6.    245² = ??

Friends aapne dekha iss trick ka use kark hum ending with 5 wale numbers ka square fast calculate kar sakate.


Also read-:
• Fast cube tricks 1se 99 tak in Hindi
• Fast multiply by 11 in Hindi

Agar aapko ye mathematics shortcut trick pasand aaya ho , to please isse aap apne friends k saath jarur share kare.

Agar aapka koi question , suggestions ya mathematics problem ho , to aap comment kark puchh sakte hai.
Thanks for reading and visiting !!!

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