Soru
All who like cake also like ice cream. All who like ice cream like chocolate. What can be concluded? Some who like cake dislike ice cream. Some who like cake dislike chocolate. All who like chocolate dislike cake. All those who like cake also like chocolate.
Çözüm
4
(339 Oylar)
Süleyman
Usta · 5 yıl öğretmeni
Uzman doğrulaması
Cevap
### 4. All those who like cake also like chocolate.
Daha Fazla
## Step 1: Understand the Premises### The first premise states that "All who like cake also like ice cream." This means if a person likes cake, they must also like ice cream.### The second premise states that "All who like ice cream like chocolate." This implies that if a person likes ice cream, they must also like chocolate.## Step 2: Logical Deduction### From the premises, we can deduce a chain of liking: If someone likes cake, then they like ice cream (from the first premise), and if they like ice cream, then they like chocolate (from the second premise).### Therefore, anyone who likes cake must also like chocolate because liking cake leads to liking ice cream, which in turn leads to liking chocolate.## Step 3: Evaluate the Options### Option 1: "Some who like cake dislike ice cream." - This contradicts the first premise.### Option 2: "Some who like cake dislike chocolate." - This contradicts the logical deduction from the premises.### Option 3: "All who like chocolate dislike cake." - This is not supported by any premises or deductions.### Option 4: "All those who like cake also like chocolate." - This is consistent with our logical deduction.