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Assume value for F(1), F(2), F(3) etc.
Since no restrictions are given, except that N is a 6 digit integer number, assume integer values for each of those.
+ve or -ve does not matter as this problem tests only divisibility rules.

(1) F(1)=F(4), F(2)=F(5), F(3)= F(6)
N=F(1)*100,000+F(2)*10,000+ ... +F(6)
=1001*(F(4)+F(5)+F(6))
1001/7=143 divisible by 7
Therefore N is divisible by 7

(2) is a special case of (1) So N is also divisible by 7.

(D)
_________________

Keep on asking, and it will be given you;
keep on seeking, and you will find;
keep on knocking, and it will be opened to you.

(1) F(1)=F(4), F(2)=F(5), F(3)= F(6) N=F(1)*100,000+F(2)*10,000+ ... +F(6) =1001*(F(4)+F(5)+F(6)) 1001/7=143 divisible by 7 Therefore N is divisible by 7

(2) is a special case of (1) So N is also divisible by 7.

(D)

I thought NF(k) was the number format....Now I got it