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[2011]Hyderabad Dream Team CAT & Related BSchools

Nominations are welcome for the 2011 Dream Team of Champs!:clap:
Year upon year our Dream team has given splendid perfomances! Looking for one more prolific team from Hyderabad!:cheers:
The basic structure of team is mentioned below!
11 active players
2 reserves
2 cheerleaders
41 41
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Page 46 of 52
Page 47 of 52
mohit07 Says
Could you explain your approach for the remainder question, like how do you know when you look at it that we gotta take 2^12, cuz that is 4096, so you divide it by 164 and check the remainder , as in the pattern method?


Mohit... u know the fact that remainder of a/b = c, then remainder of ka/kb = kc.

eg: 5/4 = 1 rem
and 25/20 = 5*1 = 5

Now looking at the question, 2^164/164, we can cancel 4 from numerator and denominator. that leaves 2^162/41

Now E(41) = 41(1-1/41) = 40
therefore 2^40/41 = 1

or, Rem(2^164/164) = 4* Rem(2^162/41) = 4* Rem(2^2/41) = 4*4 = 16
Rohit Mishra, Faculty of Management Studies, Delhi 2012-14
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