Answer
All 5 disjunctions are simultaneously true for truth values $P, Q, \neg R$.
Work Step by Step
Although it may seem tempting to jump into the five disjunctions, a methodical approach is best. This allows us to create a definitive answer that is correct without needing to consider our bias regarding logic.
To that end, let us consider our eight possibilities and the five disjunctions corresponding truth values.
$\neg P, \neg Q, \neg R$
(1) T
(2) T
(3) F
(4) T
(5) T
$\neg P, \neg Q, R$
(1) T
(2) T
(3) T
(4) F
(5) T
$\neg P, Q, R$
(1) F
(2) T
(3) T
(4) T
(5) F
$\neg P, Q, \neg R$
(1) F
(2) T
(3) T
(4) T
(5) T
$P, \neg Q, \neg R$
(1) T
(2) F
(3) F
(4) T
(5) T
$P, \neg Q, R$
(1) T
(2) F
(3) T
(4) F
(5) T
$P, Q, \neg R$
(1) T
(2) T
(3) T
(4) T
(5) T
$P, Q, R$
(1) T
(2) T
(3) T
(4) T
(5) F
