physics chemistry maths science forums
become expert I help I sign up I login
refer a friend - earn nickels!!   
 advanced
 
Home
Ask & Discuss Questions
Study Material
Experts Zone
Hang Out!

Ask & Discuss Questions with Community & Experts

Moderation Team
   advanced
Ask iit jee aieee pet cbse icse state board community Community Discussion Question: find the remainder ....................
Forum Index -> Algebra like the article? email it to a friend.  
Author Message
coolriya (456)

Blazing goIITian

Olaaa!! Perrrfect answer. 84  [102 rates]

coolriya's Avatar

total posts: 390    
offline Offline
Find the remainder when 599 is divided by 13.            

i saw it in todays question in our  goiit.......pls solve it............

Glitter Word GeneratorGlitter Word GeneratorGlitter Word GeneratorGlitter Word Generator

Glitter Word Generator
    
sboosy (2860)

Blazing goIITian

Olaaa!! Perrrfect answer. 504  [674 rates]

sboosy's Avatar

total posts: 483    
offline Offline
5^1 =5 \ \mbox{When divided by 13 gives R = 5} \\ \\ 5^2 = 25 \ \mbox{When divided by 13 gives R = 12} \\ \\ 5^3 = 125\ \mbox{When divided by 13 gives R =8} \\ \\ 5^4 = 625\ \mbox{When divided by 13 gives R =1} \\ \\ 5^5 = 3125\ \mbox{When divided by 13 gives R = 5} \\ \\ \mbox{The remainder repeats for every 4 values} \\ \\ \mbox{Thus} \ 5^{99} \ \mbox{will have same R as} \ 5^3 \\ \\ \mbox{which is} \ 8
 this reply: 17 points  (with Olaaa!! Perrrfect answer.   in 4 votes )   [?]
 
You have to be logged on to rate
  
prateekdhariwal (25)

Cool goIITian

Olaaa!! Perrrfect answer. 3  [8 rates]

prateekdhariwal's Avatar

total posts: 49    
offline Offline
5^99 can b written as=(26-1)^49....by binomial expznsion we get=

x=5(26^49-49c1.26^48..........-1)
as divided by 13
x=( )+13
therefore
x=()-5+13
therefore the remainder is -5+13=8
 this reply: 15 points  (with Olaaa!! Perrrfect answer.   in 3 votes )   [?]
 
You have to be logged on to rate
  
prateekdhariwal (25)

Cool goIITian

Olaaa!! Perrrfect answer. 3  [8 rates]

prateekdhariwal's Avatar

total posts: 49    
offline Offline
rate on ur wish!!!!
 this reply: 2 points  (with Olaaa!! Perrrfect answer.   in 1 votes )   [?]
 
You have to be logged on to rate
  
Decoder (313)

Blazing goIITian

Olaaa!! Perrrfect answer. 49  [83 rates]

Decoder's Avatar

total posts: 321    
offline Offline
right method ..me too getting 8..

Diamonds r formed under greatest pressures..
so r the champs.


Kriteesh..


 this reply: 5 points  (with Olaaa!! Perrrfect answer.   in 1 votes )   [?]
 
You have to be logged on to rate
  
 
Forum Index -> Algebra
Go to:   

Top Offers for goIITians
Correspondence Courses
Brilliant Tutorials
Narayana Institute
Aakash Institute
Classroom/Crash Courses
Narayana - Kota , Delhi , Others
Brilliant Tutorials - Class , Crash
Aakash Institute - Medical , Engg
Online Test Series
Brilliant Tutorials
Narayana Institute
Aakash Institute
Mahesh Tutorials
AMITY      Sri Chaitanya