TCS Company Numerical Ability Algebra

P(x)=(x^2012+x^2011+x^2010+…..+x+1)^2-x^2012
Q(x)=x^2011+x^2010+…+x+1
The remainder when P(x) is divided by Q(x) is ?

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TCS Other Question

Find t he missing number ?
1 3 60
2520 19958400 3113510400
? 60822550204416000 1296008369442488320000
A tank c ontains 10,000 gallo ns of a so lution that is 5 percent sodium c hloride by volume.
If 2500 gallons of water evaporate fro m the tank, the remaining solutio n will be
approximat ely what perc entage of sodium chlo ride?
(a) 3.33% (b) 6.66% (c) 8.9% (d) 10%