R=$\frac{30^{65}-29^{65}}{30^{64}+29^{64}}$
We knows that $(a^{n}-b^{n})=(a-b)(a^{n-1}+a^{n-2}b+a^{n-2}b^{2}+...+b^{n-1})$
R=$=\frac{(30-29)(30^{64}+30^{63}\times29+...+29^{64})}{30^{64}+29^{64}}$
here we can see clearly
$(30^{64}+30^{63}\times29+...+29^{64}) > (30^{64}+29^{64})$
and $R> 1$
Hence,Option(4)$R> 1.0$.