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If P, Q, R are physical quantities, having different dimensions, which of the following combinations can never be a meaningful quantity?

(a) (P – Q)/R
(b) PQ – R
(c) PQ/R
(d) (PR – Q^2)/R
(e) (R + Q)/P



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P and Q have different dimensions...  so  P - Q is not proper..

Perhaps  PQ has the same dimensions as that of R.

PQ/R  quantity is alright.

PR could probably have the same dimension as Q^2

R + Q  is not possible... as they have different dimensions.

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