Question

The sun radiates most strongly at a wavelength of about 550 nm. a star that radiated most strongly at 400 nm would be

Answer 1

550 nm is in the visible spectrum. 400 nm is in the ultra-violet spectrum.  The shorter the wavelength, the bigger the energy of the light photon emitted. Therefore a star that emits 400 nm photons, is hotter than the Sun. A star that is hotter is either bigger than the Sun (and has about the same age), either younger than the Sun (and has about the same dimension). 
Therefore a star that radiates at 400 nm would be hotter, bigger and younger than the Sun.