Step 1: Focus on who displaces iron, the toughest test here.
Only Metal-B is able to displace iron out of iron sulphate solution. Displacing iron needs more reactivity than displacing silver, zinc or copper, so Metal-B must sit at the very top of the reactivity order.
Step 2: Look at who fails to displace anything at all.
Metal-D cannot displace silver, zinc, copper or iron from any of their solutions. A metal that cannot push out even silver, the easiest of these to displace, has to be the weakest of the four, placing Metal-D at the very bottom.
Step 3: Rank the remaining two, A and C, by how many metals they can displace.
Metal-A manages to displace both silver and copper, two successful displacements. Metal-C only manages to displace silver, just one successful displacement. Since displacing more ions signals higher reactivity, Metal-A must rank above Metal-C.
Step 4: Put it all together.
From strongest to weakest, the order is Metal-B, then Metal-A, then Metal-C, then Metal-D. \[ \boxed{B > A > C > D} \]