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What is the physical statement of mass conservation equation for a finite control volume moving along with the flow?

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What is the physical statement of mass conservation equation for a finite control volume moving along with the flow?

(a) Rate of change of mass inside the control volume = 0

(b) Rate of change of mass inside the control volume = constant

(c) Net mass flow through the control surface = Rate of change of mass inside the control volume

(d) Net mass flow through the control surface≠Rate of change of mass inside the control volume

I had been asked this question in an online interview.

Question is taken from Continuity Equation in section Governing Equations of Fluid Dynamics of Computational Fluid Dynamics

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Correct choice is (b) Rate of change of mass inside the control volume = constant

Explanation: Statement of mass conservation equation for a finite control volume moving along with the flow:

  Mass inside the control volume = constant

  Rate of change of mass inside the control volume = 0.

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