Question
Three statements are given followed by three
conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: Some Wallets are Payments. All Payments are Transactions. No Transaction is Online. Conclusions: I. No Payment is Online. II. Some Transactions are Wallets. III. Some Wallets are Online.Solution
All Payments are Transactions (A) + No Transaction is Online (E) → No Payments is Online (E). Hence conclusion I follows. Some Wallets are Payments (I) + All Payments are Transactions (A) → Some Wallets are Transactions (I) → Conversion → Some Transactions are Wallets (I). Hence conclusion II follows. Some Wallets are Payments (I) + All Payments are Transaction (A) → Some Wallets are Transactions (I) + No Transaction is Online (E) → Some Wallets are not Online (O). Hence conclusion III does not follow.
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