# [2011]Hyderabad Dream TeamCAT & Related BSchools Report

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
41 41
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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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