सोमवार, फ़रवरी 08, 2016

Fast cube tricks 1se 99 tak in Hindi

Hello friend, "maths tricks in Hindi"
me aapka swagat ( welcome ) hai. Friend maine apne last post me aapko bataya tha ki Partial fraction (aanshik bhinnh) ko trick se kaise karte hai?
Aaj mai aapko batauga ki 1-99 tak k number ka "cube" tricks ya shortcuts se kaise karte hai ?
Fast cube trick in Hindi

Aaj ka ye mathematics ka "cube " tricks mere ek friend "Nirbhay R Tomar " Maths tricks k facebook page   par comment kark kaha tha ki - " Sir koi cube trick to batao " .
To Isliye maine socha aaj mai aapko cube ko trick se solve karna bataunga.

Also read -:Fast multiply tricks by 11

Kisi number ka cube kya hota hai ?

Sabse pahale mai aapko batadu ki cube ko Hindi me "Ghan"(घन) kahate hai.
Kisi number ka "cube " karne ka matalab hai, ussi number ka 3 baar(3 times) multiply Karna hota hai.
For Ex- 4 ka cube = 4×4×4=64

Ab to aap Cube ka matalab  samjh gaye honge.

Also read -:Last digit 5 wale number ka square trick and shortcut

Kisi number ka 3 baar multiply Karna bahot muskil ( tough ) aor boring sa lagata hai. Saath hi saath time bhi jada lagata hai. Lekin mai aapko short aor fast tricks se cube ko solve karna bataunga.
Also read -:square root in few seconds

Mere iss bataye tricks ka use kark aap kuch hi seconds me 1-99 tak k number ka "cube " aashani aor jaldi se jaldi solve kar lenge. Bas aapko thodi practice jada karni padegi. To Chaliye sikhate hai -:

1-99 tak k number ka cube trick ya shortcuts se kaise solve karte hai? 

Friend iss trick ka use karne k liye aapko 1 se 9 tak ka cube yaad rakhna padega. Jo maine niche image me diya hai.
Cube of numbers from 1-9

1-99 tak k number ka cube tricks se aashani se aap kar sake isk liye maine ek iss trick ka formula diya jisse aap aashani se samjh sakate hai.

Also read -:multiplication tricks of two digits

Trick ka formula -:
Maan lete hai hume two digits ka ek number "xy "  hai . Iss two digits k number ka cube find out karna hai.Mera matalab hai ki "xy"   ka cube nikalana hai. To " xy "  k liye trick formula niche image me dekhe -:
Fast cube trick nikalane ka formula
Cube trick formula 
Ab iss formula ka use kark cube find out karte hai. Maine niche image me example -1 diya hai. 
Fast cube trick with example
Fast cube trick example 

Also read -:straight line k question tricks 



Aayiye kuch aor example dekhate hai-:
Exa-2. 14 Ka cube = ?
Trick -:  x=1 and y=4
Uppar diye formula me "x" and "y" ki value rakhne par -:
  =  1^3/3.(1)^2.(4)/3.1.(4)^2/4^3
  =  1/12/48/64
  =  1/12/48+6/4
  = 1/12/54/4
  =1/12+5/4/4
  =1/17/4/4
  =1+1/7/4/4
  =2/7/4/4
  = 2744
14 ka cube = 2,744

Example-3.  27 ka cube =?
Trick-: x=2 and y=7
Formula me "x" and "y" ki value rakhne par -:
= 2^3/3.2^2.7/3.2.7^2/7^3
=8/84/294/343
=8/84/294+34/3
=8/84/328/3
=8/84+32/8/3
=8/116/8/3
=8+11/6/8/3
=19/6/8/3
27 ka cube =19,683

Example -4.    35 ka cube =?
Trick -:  x=3 and y=5
Formula se -:
=3^3/3.3^2.5/3.3.5^2/5^3
=27/135/225/125
=27/135/225+12/5
=27/135/237/5
=27/135+23/7/5
=27/158/7/5
=27+15/8/7/5
=42/8/7/5
35 ka cube =42,875

Example -5.    42 ka cube =?
Trick-:  x=4 and y=2
Formula se -
=4^3/3.4^2.2/3.4.2^2/2^3
=64/96/48/8
=64/96+4/8/8
=64/100/8/8
=64+10/0/8/8
=74/0/8/8
42 ka cube, =74,088

Example -6.     49 ka cube =?
Trick-:  x=4 and y=9
Formula se -:
=4^3/3.4^2.9/3.4.9^2/9^3
=64/432/972/729
=64/432/972+72/9
=64/432/1044/9
=64/432+104/4/9
=64/536/4/9
=64+53/6/4/9
=117/6/4/9
49 ka cube =1,17,649

Example -7.     53 ka cube =?
Trick-: x=5 and y=3
Formula se -:
=5^3/3.5^2.3/3.5.3^2/3^3
=125/225/135/27
=125/225/135+2/7
=125/225/137/7
=125/225+13/7/7
=125/238/7/7
=125+23/8/7/7
=148/8/7/7
53 ka cube = 1,48,877



Example -8.     68 ka cube =?
Trick-: x=6 and y=8
Formula se -:
=6^3/3.6^2.8/3.6.8^2/8^3
=216/864/1152/512
=216/864/1152+51/2
=216/864/1203/2
=216/864+120/3/2
=216/984/3/2
=216+98/4/3/2
=314/4/3/2
68 ka cube = 3,14,432

Example. -9.     76 ka cube=? 
Trick-: x=7 and y=6
Formula se-:
=7^3/3.7^2.6/3.7.6^2/6^3
=343/882/756/216
=343/882/756+21/6
=343/882/777/6
=343/882+77/7/6
=343/959/7/6
=343+95/9/7/6
=438/9/7/6
76 ka cube = 4,38,976

Example -10.    82 ka cube =?
Trick-: x=8 and y=2
Formula se -:
=8^3/3.8^2.2/3.8.2^2/2^3
=512/384/96/8
=512/384+9/6/8
=512/393/6/8
=512+39/3/6/8
=551/3/6/8
82 ka cube = 5,51,368

Example -11.    92 ka cube =?
Trick-: x=9 and y=2
Formula se -:
=9^3/3.9^2.2/3.9.2^2/2^3
=729/486/108/8
=729/486+10/8/8
=729/496/8/8
=729+49/6/8/8
=778/6/8/8
92 ka cube = 7,78,688 

Example -12.    97 ka cube =?
Trick-: x=9 and y=7
Formula se-:
=9^3/3.9^2.7/3.9.7^2/7^3
=729/1701/1323/343
=729/1701/1323+34/3
=729/1701/1357/3
=729/1701+135/7/3
=729/1836/7/3
=729+183/6/7/3
=912/6/7/3
97 ka cube = 9,12,673
Bus aaj k liye itana hi friends. To friends aapko ye fast cube trick 1-99  kaisi lagi ? Iss trick ko Apne friends k sath jarur share kariyega.
Agar aapko ye cube trick samjhne me kahi bhi koi bhi problem aayi ho to maths tricks k facebook page ya Issi site par comments kark puche.Hum aapk comment ka wait karenge.
Thanks for reading!

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