HSPT Logic and Reasoning 1 — Questions and Answers
Question 1: All dogs are animals. All animals need water. Therefore:
- All water needs dogs
- All dogs need water (Correct answer)
- Some dogs do not need water
- Animals are dogs
Correct answer: All dogs need water
This is a syllogism: If all dogs are animals and all animals need water, then all dogs need water. The conclusion follows logically from the premises.
Question 2: If it rains, the ground gets wet. The ground is wet. Can we conclude it rained?
- Yes, definitely
- No, because other things could make the ground wet (Correct answer)
- Only if it is cloudy
- Only on weekdays
Correct answer: No, because other things could make the ground wet
This is the logical fallacy of affirming the consequent. Other things (sprinklers, spills) could also make the ground wet, so we cannot conclude it rained.
Question 3: In a series of numbers where each term is the sum of the two preceding terms, if the first two terms are 1 and 1, what is the sixth term?
- 5
- 8 (Correct answer)
- 13
- 21
Correct answer: 8
This is the Fibonacci sequence: 1, 1, 2, 3, 5, 8. The sixth term is 8 (3+5=8).
Question 4: If Statement 1: 'No cats are fish' and Statement 2: 'All goldfish are fish,' which conclusion is valid?
- Some cats are goldfish
- No goldfish are cats (Correct answer)
- All fish are goldfish
- Some goldfish are cats
Correct answer: No goldfish are cats
Since no cats are fish and all goldfish are fish, goldfish must be in the 'fish' category which excludes all cats. Therefore, no goldfish are cats.
Question 5: A is taller than B. C is shorter than B. D is taller than A. Who is the shortest?
- A
- B
- C (Correct answer)
- D
Correct answer: C
From tallest to shortest: D > A > B > C. C is shorter than B, who is shorter than A, who is shorter than D.
Question 6: If you flip a fair coin three times, what is the probability of getting at least one head?
- 1/2
- 3/4
- 7/8 (Correct answer)
- 1
Correct answer: 7/8
P(at least one head) = 1 - P(no heads) = 1 - (1/2)³ = 1 - 1/8 = 7/8.
HSPT Logic and Reasoning 1
All dogs are animals.
All animals need water.
Therefore: