(i) p: 100 is a multiple of 4 and 5.
Since 100 is a multiple of 4 and 5, the statement is true.
Hence, it is a valid statement.
(ii) q: 125 is a multiple of 5 and 7.
Since 125 is a multiple of 5 but is not a multiple of 7, the statement is not true.
Hence, it is not a valid statement.
(iii) r: 60 is a multiple of 3 or 5.
Since 60 is a multiple of 3 and 5, the statement is true.
Hence, it is a valid statement.