Thinking Skills
In a survey of gamers, everyone who liked Wraps liked Sandwiches. Everyone who liked Sandwiches liked Pasta, …
Question 1 · Multiple choice
Question
In a survey of gamers, everyone who liked Wraps liked Sandwiches. Everyone who liked Sandwiches liked Pasta, but no one who liked Sandwiches liked Noodles.
Dylan, Arun, Kiran and Luca all took part in the survey.
Options
Based on the information, which one of the following must be true?
- A.If Dylan likes Pastas, he also likes Sandwiches.
- B.If Arun does not like Noodles, she does not like Pasta.
- C.If Kiran does not like Wraps, he does not like Sandwiches.
- D.If Luca likes Wraps, he does not like Noodles.
Correct answer
Explanation
Let's solve this slowly, one step at a time.
What is this question asking? In a survey of gamers, everyone who liked Wraps liked Sandwiches. Everyone who liked Sandwiches liked Pasta, but no one who liked Sandwiches liked Noodles.
How to think about it: The rules give Wraps → Sandwiches and Sandwiches → not Noodles. Chaining these together: Wraps → not Noodles. So if Luca likes Wraps, he must like Sandwiches, which means he cannot like Noodles.
Check the other options:
- A ✗ "If Dylan likes Pasta, he also likes Sandwiches." — the rule says Sandwiches → Pasta, not the reverse. Liking Pasta does not require Sandwiches.
- B ✗ "If Arun does not like Noodles, she does not like Pasta." — not liking Noodles says nothing about Pasta. These are unrelated.
- C ✗ "If Kiran does not like Wraps, he does not like Sandwiches." — the inverse of Wraps → Sandwiches, which is not valid. Someone could like Sandwiches without liking Wraps.
- D ✓ Wraps → Sandwiches → not Noodles. Must be true.
Final answer: Option D (If Luca likes Wraps, he does not like Noodles.). Self-check tip: underline the key rule first, then test each option against that rule one by one.
