1. Interpret the compound

   Copper(II) sulfate pentahydrate is written as: $CuSO_4\cdot 5H_2O$

   Its actual coordination formulation is: $[Cu(H_2O)_4]SO_4\cdot H_2O$

2. Find the secondary valency

   According to Werner’s theory, secondary valency equals the coordination number of the metal ion.

   In $[Cu(H_2O)_4]^{2+}$, copper is directly bonded to 4 water molecules.

   Hence, secondary valency of copper is: $4$

3. Find the number of hydrogen-bonded water molecules

   Total water molecules present = $5$.

   Out of these, $4$ are coordinated directly to $Cu^{2+}$.

   Therefore, the remaining $1$ water molecule is outside the coordination sphere and is hydrogen bonded in the crystal.

   So, number of hydrogen-bonded water molecules = $5 - 4 = 1$

4. Match with options

   • A: $5$ and $1$ $\to$ incorrect
   • B: $4$ and $1$ $\to$ correct
   • C: $6$ and $5$ $\to$ incorrect
   • D: $6$ and $4$ $\to$ incorrect

Therefore, the correct answer is B.