Logical Deduction Quiz
1️⃣ If all apples are fruits, and all fruits are sweet, then:
Step-by-Step Explanation
All apples belong to the category of fruits.
All fruits belong to the category of sweet things.
Therefore, all apples must belong to the category of sweet things.
Answer: All apples are sweet ✅
2️⃣ If it rains, the ground is wet. It is raining. Then:
Step-by-Step Explanation
The premise states a direct cause-and-effect relationship.
The premise also states the cause is happening.
Therefore, the effect must also be happening.
Answer: The ground is wet ✅
3️⃣ If A is taller than B, and B is taller than C, then:
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.
Answer: A is taller than C ✅
4️⃣ If all birds can fly, and some flying things are airplanes, then:
Step-by-Step Explanation
Birds are a subset of flying things.
Airplanes are another subset of flying things.
This means some flying things are airplanes is correct.
Answer: Some flying things are airplanes ✅
5️⃣ If a number is divisible by 4, it is even. 12 is divisible by 4. Then:
Step-by-Step Explanation
The premise provides a rule about divisibility.
12 fits the condition of being divisible by 4.
Therefore, 12 must be even.
Answer: 12 is even ✅
6️⃣ If all squares are rectangles, and some rectangles are blue, then:
Step-by-Step Explanation
Squares are a subset of rectangles.
Some rectangles are blue, meaning some, but not all.
Therefore, some squares might be blue, but it is not guaranteed.
Some squares are not blue is the only conclusion that can be made.
Answer: Some squares are not blue ✅
7️⃣ If a person is a doctor, they have a medical degree. John has a medical degree. Then:
Step-by-Step Explanation
Having a medical degree is a necessary but not sufficient condition for being a doctor.
John has a medical degree, so he might be a doctor, but he could also be a researcher, etc.
Answer: John might be a doctor ✅
8️⃣ If all logicians are thinkers, and some thinkers are mathematicians, then:
Step-by-Step Explanation
Logicians are a subset of thinkers.
Some thinkers are mathematicians.
No mathematicians are artists.
Therefore, some thinkers are not artists.
Answer: Some thinkers are not artists ✅
9️⃣ If a fruit is ripe, it is sweet. Some fruits are not sweet. All ripe fruits are edible. Then:
Step-by-Step Explanation
Ripe fruits are sweet, but some fruits are not sweet.
All ripe fruits are edible.
Therefore, some edible fruits are not sweet.
Answer: Some edible fruits are not sweet ✅
🔟 If only graduates can apply for the job, and some applicants are experienced, then:
Step-by-Step Explanation
To apply, you must be a graduate.
Some applicants are experienced, and all experienced people are qualified.
Therefore, some applicants are graduates.
Answer: Some applicants are graduates ✅