Trivia question #6:
Lizzie, Isaac, Justine and Mike each bought a different dessert. One of them bought a cupcake; one bought a doughnut; one bought a brownie; one bought ice cream. One spent $1; one spent $2; one spent $3; and one spent $4. Using the set of clues below, who bought the ice cream?
- CLUE 1: Lizzie spent more money than Justine.
- CLUE 2: Justine bought the brownie.
- CLUE 3: Of the person who spent $1 and the person who spent $4, one of them was Lizzie and the other one bought the doughnut.
- CLUE 4: The person who bought the cupcake, the person who bought the brownie, the person who spent $2, and Isaac are all different people.
Who bought the ice cream?
A. Lizzie
B. Isaac
C. Justine
D. Mike
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Answer: D.
- We know (because of Clue 3) that Lizzie spent either $1 or $4. Because of Clue 1, we also know Lizzie spent more money than Justine, which means Lizzie can’t have spent $1 (the lowest amount). So Lizzie spent $4. Because of Clue 3, this means that the person who did spend $1 bought the doughnut.
- Clue 2 says that Justine bought the brownie. Because of Clue 4, we then know that Justine didn’t spend $2, since the $2-spender and the brownie-buyer are not the same person. We also know that Isaac didn’t buy the cupcake (or the brownie) or spend $2.
- Therefore, since we already know Lizzie spent $4, Mike is the only one who could have spent $2.
- Since the $1-spender and the doughnut-buyer are the same person, this has to be Isaac—he’s now the only one who doesn’t have either dessert or money accounted for yet.
- That leaves Justine having spent $3.
- Clue 4 says that the person who spent $2 and the person who bought the cupcake are not the same. Since Mike spent the $2, Lizzie must have bought the cupcake.
- This leaves us with our answer: Mike bought the ice cream!
If you figured that out, reward yourself with your dessert of choice. Oh, and you might be ready to tackle 9 of the toughest riddles ever.
Trivia question #7:
…whose first digit is one-fourth of the last digit; the second digit is six times the first digit; and the third digit is the second digit plus three.