Crossover Aptitude Test Logical Reasoning: Syllogisms 2 — Questions and Answers
Question 1: All engineers are problem-solvers. Some problem-solvers are creative. Which conclusion follows? A) All engineers are creative. B) Some engineers may be creative. C) No engineers are creative. D) All creative people are engineers.
- All engineers are creative.
- Some engineers may be creative. (Correct answer)
- No engineers are creative.
- All creative people are engineers.
Correct answer: Some engineers may be creative.
Since only SOME problem-solvers are creative, we can only say some engineers may be creative, not all.
Question 2: No reptiles are warm-blooded. All snakes are reptiles. Which conclusion is valid?
- Some snakes are warm-blooded.
- No snakes are warm-blooded. (Correct answer)
- All warm-blooded animals are snakes.
- Some reptiles are snakes.
Correct answer: No snakes are warm-blooded.
Since all snakes are reptiles and no reptiles are warm-blooded, it follows that no snakes are warm-blooded.
Question 3: All fruits contain seeds. Mangoes are fruits. Tomatoes are fruits. Which must be true?
- Mangoes and tomatoes are the same.
- Both mangoes and tomatoes contain seeds. (Correct answer)
- Only mangoes contain seeds.
- Seeds are found only in fruits.
Correct answer: Both mangoes and tomatoes contain seeds.
Since both mangoes and tomatoes are fruits and all fruits contain seeds, both must contain seeds.
Question 4: Some doctors are researchers. All researchers publish papers. Which conclusion is valid?
- All doctors publish papers.
- No doctors publish papers.
- Some doctors publish papers. (Correct answer)
- All publishers are doctors.
Correct answer: Some doctors publish papers.
The doctors who are also researchers must publish papers, so some doctors publish papers.
Question 5: All A are B. No B are C. Therefore:
- Some A are C.
- All C are A.
- No A are C. (Correct answer)
- Some B are A.
Correct answer: No A are C.
If all A are B and no B are C, then A cannot be C since A is entirely within B which excludes C.
Question 6: No plastic is biodegradable. Some containers are plastic. Which of the following must be true?
- All containers are biodegradable.
- No containers are biodegradable.
- Some containers are not biodegradable. (Correct answer)
- All biodegradable things are containers.
Correct answer: Some containers are not biodegradable.
The plastic containers are not biodegradable, so at least some containers are not biodegradable.
Question 7: All judges are lawyers. Some lawyers are professors. Which conclusion CANNOT be drawn?
- Some lawyers are judges.
- All judges are lawyers.
- All judges are professors. (Correct answer)
- Some professors may be judges.
Correct answer: All judges are professors.
We cannot conclude all judges are professors because only some lawyers are professors and judges are a subset of lawyers.
Crossover Aptitude Test Logical Reasoning: Syllogisms 2
All engineers are problem-solvers.
Some problem-solvers are creative.
Which conclusion follows?
A) All engineers are creative.
B) Some engineers may be creative.
C) No engineers are creative.
D) All creative people are engineers.