जोड़ तेजी से करें।

    समान्तर संख्याओं का योग जाने                    सिर्फ़कुछ सेकेण्ड में

     Yedi : 1+2+3+4+5+6+.....+10 , ko jodna hai to apko 2 se 5 minute ya jyada bhi lag sakta hai agar bina copy aur pen se katrte hain to ya phir calculator se karte hain to apko 1 se 2 minute lag jata hai , magar hamara ye tarika dono se new aur

                  

fast hai . Ye same anter wale numbers

pe hi work karta ha, jaise :
     

         1,2,3,4,5,6,7,8,9,10        (first line  ya         2,4,6,8,10,12,14,16     (second line) ya  3,6,9,12,15,18,21,24     (third line)

  Ham dekh rahe hain ki first line me 1 ka second line me 2 ka aur third line me 3 ka anter different hai . Aur ek baat isme aap sum numbers(सम संख्या) ka use kare jaise first line me pado ki sankhya 10 hai jo ek sum sankhya hai , isi tarah second line me 8 aur third me bhi 8 hai jo ki sum sankhya hai . Agar bisham sankya ho to last wali sankhya ko chodkar ke jode le aur iske baad last wali sankhya ko add  ya jode le .

            *  वर्ग करें सेकेण्डों में

     

 Iski help se aap lagbhag 5 se 15  seconds me hi kar sakte ho . To ho jaye fast >> and sharp . Ab dekhte hain ki ye kaam kaise karta hai .

Explanation For Clearation

Isko ham three.step me hi kar sakte hain ye iss tarah se hai >>

First step

   Pahle step me apko un numbers ko do line me aise badalna hai ki pahla aur last wala number ek sidh me aaye.

 
               

Second step

 Isme aapko un sabhi ka योग nikalna    hai jo ek dusre ke sidh me hain .

                       

Third step

  Isme jo योगफल aaya hai un sabhi ka yosfal nikal le.

  Manlo hame 1 se lekar 10 tak  ki sankyawo ko jodna hai . Ab ham first step ke anusar

    1+2+3+4+5+6+7+8+9+10, ko do line me      badal dete hain >

                  1 ,  2  ,  3  ,  4  ,  5
                10 ,  9  ,  8 ,  7  ,  6

  Ab ham upar wali संख्या aur uske niche wali संख्या ko ek sath जोड lete hain. Jaise 1 ke niche 10 hai to in dono ka yog kar lete hain . Isi tarah 2 ke niche 9 hai to ab in dono ka yog kar lenge . Isi tarah ham sabhi numbers ko jod lete hain . Isme sabhi ka yog 11 hi ayega jaise >>

                       5 + 6 = 11
                       4 + 7 = 11
                       3 + 8 = 11
                       2 + 9 = 11
                     1 + 10 = 11

  Ab ham dekh sakte hain ki >>

        11 × 5 = 55

 kyuki 11 , 5 baar aya hai.So 1 se 10 tak ka yogfal 55 aata hai .

               * वर्गमूल करें सेकेण्डों में

  

  Agar aapko koi step na samajh me aaya  ho to niche is image ko dekhkar samajh sakte ho.

           

    

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