@x2maverickc said: @YouMadFellow @deedeedudu 50^10=1(mod11)=>50^50=1(mod11)=>50^51=6(mod11)=>50^51^51=6^51(mod11) 6^50=1(mod11)6^2=3(mod11)6^52=3(mod11) The remainder should be 3. How come the answer is 6, which is correct.Please clear karein. and isn't 50^51^52 equal to 50^2652 www.wolframalpha.com/input/?i=... www.wolframalpha.com/input/?i=... why is there a difference between the two results Dimaag slow ho gaya hai!! Sona chahiye ab
@sahib_sheetu said: plz any one out dere can help me in this .............dnt knw much newly joined
@[592846:YouMadFellow]
Your signature suits me good! lol!
thanks anyways! better mar your demons now than face them on d-day, howsoever petty they are! 😃
@[574519:x2maverickc] thankzz
@[37213:jain_ashu] as u mntnd it dat u hv cmpltd r pursuing ur mba so i need to ask 1 qstn which keepz me bothering dat in my btech i hv secured 68% bt i hd bck in my first yr in a subjct( thnkz to uptu checkng 
) bt i cleard in dat respective year nly so will this create any prblm in getting top institutez of mba nd in 12th i got 76% and 10th 86% so whats ur take on dis and till nw i dnt hv a wrk ex bcoz i m 2012 passed out AND plz any1 out dere can help m out in gvng answr to my qstn
@[595194:sahib_sheetu]... I don't think having a back in one subject will be of any concern, had it been for multiple subjects then surely it would have been a concern.
@[592846:YouMadFellow]
Thank you for the insightful post there, but i think there are easier solution to this.
51^203mod 7 = (49 + 2)^203 mod 7 = 2^203 mod 7 = 2^5*2^198 mod 7 = 32*(63 +1)^33 mod 7= 32mod 7 =4
@Tyger said: Can anyone plz explain how the remainder problems are to be done when the dividend is a factorial.For ex : Find the remainder when 34! is divided by 71.Is Wilson's theorem applicable here?If yes,then how?
Plz reply...how to solve remainder problems like these..?
what is the remainder when 9+9^2+9^3............9^(2n+1) is divided by 6.....ans is 3
6=2 *3..all powers of 9 leave remainder 0 and 1 in case of division by 3 and 2 respectively...so remainder should be of form 1+1+1...(2n+1)times...i.e remainder on divin by 2 should be 1...so answer sud b 1...bt answer is 3...??HELP..
@chirag1501 said: u can write it as, n*(n+1)*(n-1)*(5n+2) (n+1)*(n-1) means whatever value of n you take, you will always have one odd and one even number in the expression, hence it will always be divisible by 6
@[354462:aditya5921]
"this approach will work only with questions with prime numbers as denominators.", its not entirely correct..
fermat says,
given 2 co-prime numbers (a,b) , a^ phi(b) mod b=1 ..
example:given 2 co-prime numbers :[12,35]
phi (35)=24
so, 12^24 mod 35 =1
@[461679:Vishal99]
OA is 6
learn from http://meetbhavin.wordpress.com/2008/12/17/last-non-zero-digit-of-n/
If face any prob. mention me !
if u multiply 10!, the last digit u get is 8,(ignoring 0's and taking the nonzero numbers only), then upto 96! we have nine 8's to multiply with 6!(which has last digit 2) of 96! so in totality we have,
8^9*2= will give last digit = 6 :)(u can solve 8^9 using cyclicity of powers)
i know this method is not good for bigger numbers if anyone knows to do in a better way, kindly highlight them :)
@Vishal99 said: Find the last non zero digit of 96!a) 2 b) 4 c) 6 d) 8guys plz help me solve this question... need detail solution...
ur method is good . better than mine.
@LeoN88 said: @Vishal99 OA is 6 learn from meetbhavin.wordpress.com/2008/... If face any prob. mention me !
@Tyger said: Can anyone plz explain how the remainder problems are to be done when the dividend is a factorial.For ex : Find the remainder when 34! is divided by 71.Is Wilson's theorem applicable here?If yes,then how?
No1 Knows...???
@Tyger said:
34!=71*d1 +k
Hence, we can write 37*38*..69*70 = 71*d2+k
Wilson Theorem says, 70! = 71*d3+70
so, 70!mod 71 = (71*d1+k)*(35*36)*(71*d2+k)mod 71 =(k^2*53)mod71=70, so k=2.
@karl said: 34!=71*d1 +k Hence, we can write 37*38*..69*70 = 71*d2+k Wilson Theorem says, 70! = 71*d3+70 so, 70!mod 71 = (71*d1+k)*(35*36)*(71*d2+k)mod 71 =(k^2*53)mod71=70, so k=2.
@[461679:Vishal99]