Pragya wrapped a cord around a circular pipe of radius 4 cm and cut off the length required of the cord .Then she wrapped it around a suare box side 4 cm .Did she have any cord left.

That depends. How much cord was there to begin with?

She used 2{\pi}(4)=8{pi} \;\ cm on the pipe. Then, she used 4*4=16 cm on the box.

She used 8(2+{\pi})\approx 41.13 \;\ cm cm altogether.