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Among the following propositions two are related in such a way that they cannot both be true but can both be false. Select the code that states those two propositions. Propositions : a) Every student is attentive. b) Some students are attentive. c) Students are never attentive. d) Some students are not attentive

Among the following propositions two are related in such a way that they cannot both be true but can both be false. Select the code that states those two propositions. Propositions : a) Every student is attentive. b) Some students are attentive. c) Students are never attentive. d) Some students are not attentive Correct Answer (a) and (b)

The logic follows here is :-

a) Every student is attentive → True/False (In a group of students every student cannot be attentive few get interest only to few subjects or topic and There is possibility that according to subjects or topic every student will be attentive).

b) Some students are attentive → True/False (In a group of students or in a class it is fact that some students are attentive and some students are not attentive).

c) Students are never attentive → False (We cannot say that all students are never attentive only few or some students are never attentive).

d) Some students are not attentive → True (In a class or school or group it is clear that we can say some students are not attentive not everyone will be attentive).

Thus, the correct answer is '(a) and (b)'.

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