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According to the rules for averaging, which of these will sum up to zero?

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According to the rules for averaging, which of these will sum up to zero?

(a) The mean component of the flow variable

(b) The fluctuating component of the flow variable

(c) The flow variable

(d) Integration of the flow variable

This question was posed to me in semester exam.

My question is from Turbulence Modelling in chapter Turbulence Modelling of Computational Fluid Dynamics

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Right choice is (a) The mean component of the flow variable

Easiest explanation: The mean component of a flow variable is the overall average of the flow variable. So, when the average of the flow variable is its mean component, the average of the fluctuating component and hence its summation will be zero.

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