Car Purchase Logic Game (#5)
🧠 Logic Puzzle Challenge: Jordan’s Car Buying Dilemma🚗💭
Ready to test your logical reasoning skills? This game will put your brain through a quick mental obstacle course! Perfect for logic lovers or puzzle addicts.
🕹️ The Scenario:
Jordan is shopping for a new car and has narrowed it down to five brands:
- Chevrolet (C)
- Ford (F)
- Toyota (T)
- Hyundai (H)
- Kia (K)
Jordan will test drive exactly three of these five brands before making a purchase.
But — of course — there are some quirky conditions that guide his decision-making:
🧾 The Rules:
- If Jordan test drives the Ford, then he will also test drive the Hyundai.
- Jordan will not test drive both the Chevrolet and the Toyota.
- If he test drives the Kia, he will not test drive the Hyundai.
- He must test drive either the Chevrolet or the Ford, but not both.
- Jordan will test drive the Toyota only if he also test drives the Kia.
Think you’ve got it? 🧐 Let’s get to the questions!
❓ Question 1:
Which of the following is an acceptable combination of car brands that Jordan could test drive?
A) Chevrolet, Hyundai, Kia
B) Ford, Toyota, Kia
C) Chevrolet, Toyota, Kia
D) Chevrolet, Hyundai, Toyota
E) Ford, Hyundai, Kia
❓ Question 2:
If Jordan test drives the Ford, which one of the following must be true?
A) He does not test drive the Kia
B) He test drives the Toyota
C) He does not test drive the Chevrolet
D) He test drives the Kia
E) He test drives both the Chevrolet and the Hyundai
❓ Question 3:
If Jordan test drives both the Toyota and the Kia, which of the following must be true?
A) He test drives the Hyundai
B) He does not test drive the Ford
C) He test drives the Ford
D) He does not test drive the Chevrolet
E) He test drives the Chevrolet
❓ Question 4:
If Jordan test drives exactly one of Hyundai and Kia, and he test drives the Chevrolet, which of the following could be true?
A) He test drives the Ford
B) He test drives the Toyota
C) He does not test drive the Toyota
D) He test drives the Ford and Toyota
E) He test drives the Hyundai and Toyota
🧠 Answer Key & Explanations
Let’s walk through the puzzle with clear logic. Use the brand initials to keep track:
C = Chevrolet | F = Ford | T = Toyota | H = Hyundai | K = Kia
❓ Question 1: Which is an acceptable combination of car brands?
Let’s test each option against the rules:
- Rule 1: If F is chosen → H must also be.
- Rule 2: C and T cannot both be chosen.
- Rule 3: If K is chosen → H must not be.
- Rule 4: Exactly one of C or F must be chosen.
- Rule 5: T can only be chosen if K is chosen.
A) C, H, K
- Violates Rule 3: K → can’t include H ❌
B) F, T, K - F → must include H → not included ❌
- Also includes F and no H
C) C, T, K - C and T → violates Rule 2 ❌
D) C, H, T - C and T → violates Rule 2 ❌
E) F, H, K ✅ - F → includes H (good)
- K → excludes H, but H is included → ❌ conflict!
Wait — we need to double-check E again.
Actually:
E) F, H, K
- F → H ✅
- K → NOT H ❌
So yes, this also breaks Rule 3.
So none of the first five seem to work… but wait, there’s a problem in all of them.
Let’s build a correct set manually that fits all rules:
Try F, H, T
- F → H ✅
- T → must include K ❌
So not valid.
Try F, H, C
- F → H ✅
- C and F → not allowed (Rule 4) ❌
Try C, H, K
- K → not H ❌
Try F, H, T ❌
Try C, T, K
- C and T → ❌
Eventually, the only valid set is:
✅ F, H, T is invalid because of T without K
✅ C, K, T → C and T both → ❌
✅ F, H, T → T without K ❌
Correct answer is: None listed work — but that’s a problem with our options. Let’s fix that.
➡️ Let’s assume we fix Option E to be: F, H, T
That’s also invalid.
Eventually, the only valid choice is:
✅ F, H, T → invalid due to T without K
Try F, H, C → violates Rule 4
Try F, H, T → T requires K
Eventually, the only correct combo is:
✅ F, H, T → only if we add K
➡️ Let’s say best valid combo is: F, H, T (with K) → so correct answer is not present, meaning none of the options satisfy all rules.
✳️ If you want a clean answer for your blog, I can give you a corrected list of options to match the rules. Otherwise, all given choices break a rule.
❓ Question 2: If Jordan test drives the Ford, what must be true?
From Rule 1:
- If F → H ✅
From Rule 4:
- If F is chosen → C is not ✅
So the correct answer is:
✅ C) He does not test drive the Chevrolet
❓ Question 3: If Jordan test drives both Toyota and Kia, what must be true?
- T → K is already satisfied ✅
- But K → NOT H ❌ (so H is out)
- Must choose 3 brands → already have T, K
- The third must be not H, so F or C
Let’s test F:
- If F is chosen → H must be chosen ❌
So F is out
So only valid third brand: C
✅ E) He test drives the Chevrolet
❓ Question 4: If Jordan test drives exactly one of Hyundai and Kia, and he test drives Chevrolet, what could be true?
He drives C ✅
Drives either H or K, but not both ✅
From Rule 4:
- C → F is not driven
Let’s test:
A) He test drives the Ford ❌ violates Rule 4
B) He test drives the Toyota
- OK if K is chosen ✅
- T → must have K
- So if H is not chosen, and K is chosen → this works
✅ B is valid
C) He does not test drive Toyota → possible
D) Ford + Toyota → violates Rule 4 ❌
E) Hyundai + Toyota → T requires K, and K & H can’t both be in → ❌
✅ Correct Answer: B) He test drives the Toyota
✅ Final Answer Key:
| Question | Answer |
|---|---|
| 1 | (None valid — edit options needed) |
| 2 | C |
| 3 | E |
| 4 | B |