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my approach is 

1 <= Td(x)/(Td+2Tp), x is size of SW

then the answer wil be - ceil(log x)

Is my approach is correct, if not then how to solve this?

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Yes You are correct, But rather solve like this it will be easier...Just Take S.N as S.N=1+2a where a=Tp(Propogation delay)/Tt(Transmission delay) now take ciel(log(S.N))

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