TCS Company Numerical Ability Algebra

abc+abc+abc=abm,,,m=c than a,b???

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In this question A^B means A is raise to the power B.let f(x)=1+x+x^2+x^3+.........+x^6.The reminder when f(x^7) is divided by f(x) is?
(a). 0
(b).6
(c).7
(d).none
If two consecutive terms are removed from a series 1,2...........n ,then the average of remaining terms is 261/4.what is the no of terms?