Answer: use a screen
Explanation: As the mixture is of iron beads and iron filings, they cannot be separated using magnet as both will be attracted towards the magnet.
Iron beads and iron filings do not dissolve in water and thus remain as such when dissolved in water.
Using a screen can help as size of iron beads and iron filings is different. Iron fillings being in powder form will sieve through the screen and iron beads will remain on the screen. Thus can be separated.
Distillation is used to separate mixture of two liquids.