1️⃣ If all cats are animals, and all animals have four legs, then all cats have:
Step-by-Step Explanation
The problem states all cats are animals.
The problem also states all animals have four legs.
Therefore, logically, all cats must have four legs.
Answer: Four legs ✅
2️⃣ If it is always sunny on Tuesdays, and today is Tuesday, then today it is:
Step-by-Step Explanation
The problem states that it is always sunny on Tuesdays.
Today is Tuesday.
Therefore, logically, today it is sunny.
Answer: Sunny ✅
3️⃣ If A is taller than B, and B is taller than C, then A is taller than:
Step-by-Step Explanation
A is taller than B.
B is taller than C.
This forms a transitive relationship: if A > B and B > C, then A > C.
Therefore, A is taller than both B and C.
Answer: Both B and C ✅
4️⃣ If all squares are rectangles, and some rectangles are blue, then:
Step-by-Step Explanation
All squares are rectangles.
Some rectangles are blue.
This means only some rectangles, not necessarily all, are blue.
Since squares are a subset of rectangles, some squares *could* be blue, but it's not guaranteed.
Therefore, some squares are not blue is the most accurate statement.
Answer: Some squares are not blue ✅
5️⃣ If John is older than Mary, and Mary is younger than Peter, then:
Step-by-Step Explanation
John > Mary.
Mary < Peter.
This information doesn't provide a direct relationship between John and Peter.
Peter could be older or younger than John.
Therefore, the relationship between John and Peter cannot be determined.
Answer: The relationship between John and Peter cannot be determined ✅
6️⃣ If all fruits are sweet, and some sweet things are desserts, then:
Step-by-Step Explanation
All fruits are sweet.
Some sweet things are desserts.
This means only some sweet things, not necessarily all, are desserts.
Since fruits are sweet, some fruits *could* be desserts, but it's not guaranteed.
Therefore, some fruits are not desserts is the most accurate statement.
Answer: Some fruits are not desserts ✅
7️⃣ If a statement is true, then its opposite is:
Step-by-Step Explanation
A true statement cannot simultaneously have a true opposite.
The opposite of a true statement is necessarily false.
Therefore, the answer is False.
Answer: False ✅
8️⃣ In a group of people, some are singers, and some are dancers. All singers are artists, and no dancers are artists. Which of the following must be true?
Step-by-Step Explanation
Singers are a subset of artists.
Dancers are not artists.
This means there is no overlap between singers and dancers.
Therefore, no dancers are singers must be true.
Answer: No dancers are singers ✅
9️⃣ If A implies B, and B implies C, then:
Step-by-Step Explanation
A → B.
B → C.
This forms a transitive relationship: A → C.
Also, if C is false, then B must be false, which means A must be false.