Question
Statements: All phones are mobiles. Some
sims are phones. No card is a sim. Conclusions: I. Some mobiles are not cards. II. All cards are phones. III. No sim is a card. In each question, three statements followed by three conclusions numbered I, II and III have been given. You have to take the given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.Solution
Some sims are phones(I) + All phones are mobiles (A) ⇒ Some sims are mobiles (I) ⇒ conversion⇒ Some mobiles are sims (I) + [No card is a sim (E)] ⇒ conversion ⇒ No sim is a card (E) ⇒ Some mobiles are not cards(O). Hence conclusion I follows. Some sims are phones(I) ⇒ conversion⇒ Some phones are sims (I) + [No card is a sim] ⇒ conversion⇒ No sim is a card (E) ⇒ Some phones are not cards(O). Hence conclusion II does not follow. No card is a sim (E) -⇒ conversion⇒ No sim is a card (E). Hence conclusion III follows
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