SHSAT SHSAT Logical Reasoning 1 — Questions and Answers
Question 1: All mammals are warm-blooded. A whale is a mammal. Therefore:
- All warm-blooded animals are whales
- Whales are not warm-blooded
- Whales are warm-blooded (Correct answer)
- Whales are fish
Correct answer: Whales are warm-blooded
Using deductive reasoning: all mammals are warm-blooded, and whales are mammals, so whales must be warm-blooded.
Question 2: If today is Wednesday, what day will it be in 10 days?
- Friday
- Saturday (Correct answer)
- Sunday
- Monday
Correct answer: Saturday
10 days after Wednesday: 10 mod 7 = 3, so three days after Wednesday is Saturday.
Question 3: In a sequence 2, 5, 10, 17, 26, what is the next number?
- 35
- 37 (Correct answer)
- 33
- 40
Correct answer: 37
The differences are 3, 5, 7, 9, 11 — increasing odd numbers — so add 11 to 26 to get 37.
Question 4: Maria is taller than Jake. Jake is taller than Sam. Who is the shortest?
- Maria
- Jake
- Sam (Correct answer)
- Cannot be determined
Correct answer: Sam
Maria > Jake > Sam, so Sam is the shortest in this chain.
Question 5: If HOUSE is coded as IPVTF, how is DOOR coded?
- EPPS (Correct answer)
- EQQR
- DPPS
- EPOS
Correct answer: EPPS
Each letter is shifted one position forward in the alphabet: D→E, O→P, O→P, R→S = EPPS.
Question 6: A store sells apples for $2 each and oranges for $3 each. If Tom spends exactly $12 on 5 pieces of fruit, how many apples did he buy?
- 2
- 3 (Correct answer)
- 4
- 1
Correct answer: 3
Let a = apples, o = oranges: a + o = 5 and 2a + 3o = 12; solving gives a = 3, o = 2.
All mammals are warm-blooded.
A whale is a mammal.
Therefore: