The correct option is A 25 cm
For the stationary wave represented by, y=5cos(πx25)sin(100πt)
Considering a snapshot of string at some given instant of time.
Nodes will be formed where displacement of particle is zero.
It will happen when,
cos(πx25)=0
⇒πx25=π2,3π2,5π2,......
⇒x=12.5,37.5,62.5,.....
∴ Node will not form at x=25 cm