If proposition ‘Students are serious’ is taken to be false then which of the following propositions can be true?
(a) All students are serious
(b) All students are not serious
(c) Some students are not serious
(d) Some serious ones are not students
Select the correct answer from the options given below.
- ((a))
(a) only
- ((b))
(b) and (d)
- ((c))
(d) only
- ((d))
(b) and (c)
Show Answer
(b) and (c)
‘Students are serious’ is taken to be false Means that “Students are not Serious”.
-
All students are serious → False (Students are serious is taken as false)
-
All students are not serious → True (Clearly given in statement that students are serious is false)
-
Some students are not serious → True (If there are some students who are serious then the given proposition ‘Students are serious’ is false)
-
Some serious ones are not students → False (As we don’t have any information regarding other persons)

Hence, (b) and (c) can be true.






