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a) the wire is cut into 5 equal parts and resistance is R
let resistance of each part be R'
so, 5R'=R
therefore R'=R/5
R:R'=5:1
b) for parallel,
1/Reff=5/R+5/R+5/R+5/R+5/R
so, Reff=R/25 Ohm
c) for series,
Reff=R/5+R/5+R/5+R/5+R/5
Reff=5xR/5
=R Ohm
hope it helps
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