FAST Future Aptitude Selection Tool Logical Reasoning 1 — Questions and Answers
Question 1: All mammals are warm-blooded. Dogs are mammals. Therefore, dogs are:
- Cold-blooded
- Warm-blooded (Correct answer)
- Reptiles
- Birds
Correct answer: Warm-blooded
This is a valid syllogism where the conclusion follows necessarily from both premises.
Question 2: If all squares are rectangles, and shape X is a square, what can we conclude about shape X?
- X is not a rectangle
- X is a circle
- X is a rectangle (Correct answer)
- X is a triangle
Correct answer: X is a rectangle
Since all squares are rectangles and X is a square, X must be a rectangle.
Question 3: No reptiles are warm-blooded. A snake is a reptile. Therefore, snakes are:
- Warm-blooded
- Not warm-blooded (Correct answer)
- Mammals
- Birds
Correct answer: Not warm-blooded
The conclusion follows logically that snakes, being reptiles, are not warm-blooded.
Question 4: If it rains, the ground gets wet. The ground is wet. Which conclusion is logically valid?
- It definitely rained
- It definitely did not rain
- It may or may not have rained (Correct answer)
- The ground is always wet
Correct answer: It may or may not have rained
Wet ground could have other causes besides rain, so concluding it definitely rained commits the fallacy of affirming the consequent.
Question 5: All doctors have medical degrees. Jane has a medical degree. What can we logically conclude about Jane?
- Jane is definitely a doctor
- Jane is not a doctor
- Jane may or may not be a doctor (Correct answer)
- Jane is a nurse
Correct answer: Jane may or may not be a doctor
Having a medical degree is necessary but not sufficient to be a doctor, since other professionals may also hold medical degrees.
Question 6: If P then Q. P is true. What is the valid logical conclusion?
- Q is false
- Q is true (Correct answer)
- P is false
- Nothing can be concluded
Correct answer: Q is true
Modus ponens states that if P implies Q and P is true, then Q must be true.
FAST Future Aptitude Selection Tool Logical Reasoning 1
All mammals are warm-blooded.
Dogs are mammals.
Therefore, dogs are: