Given,
Functional dependencies F={MQ→R,MR→P,RP→Q,P→Q}.F = \{MQ\rightarrow R, MR \rightarrow P, RP \rightarrow Q, P \rightarrow Q \}.F={MQ→R,MR→P,RP→Q,P→Q}.
{MQ}+={MQ}\{MQ\}+=\{MQ\}{MQ}+={MQ}
={MQR}=\{MQR\}={MQR} trivial dependencies (MQ→R)(MQ\rightarrow R)(MQ→R)
={MPQR}=\{MPQR\}={MPQR} trivial dependencies (MR→P)(MR\rightarrow P)(MR→P)
Hence MQ is the candidate key
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