TCS Company Logical Reasoning Letter Series

What is the remainder when 6^17+17^6 is divided by 7?
a)1
b)6
c)0
d)3

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TCS Other Question

IN a sequence of integers,A(n)=A(n-1)+A(n-2),where A(n) is the nth term in the sequence,n is an integer and n>=3,A(1)=1,A(2)=1.calculate S(1000),where S(1000) is the sum of all 1000 terms.
a)2
b)3
c)4
d)0
In base 7 number is written only using the digits 0,1..6.the number 135 in base 7 is 1*(7^2)+3*(7^1)+5*(7^0)=75 in bse 10.what is the sum of base 7 numbers 1234 and 6543 in base 7?
a)11101
b)11110
c)10111
d)11011