Brain Teasers
Mad Ade's Bookshop Visit
When Mad Ade and his friend Barmy Bob visited the local Madadian bookstore, they took with them their nephews Crazy Carl and Dippy Derek.
They all purchased some books that cost a whole amount in Madadian Wonks.
When they leave the bookshop, they notice that both uncles have spent 21 Wonks more than their respective nephews. Moreover, each of them paid per book the same amount of Wonks as books that he bought.
The difference between the number of books between Mad Ade and Crazy Carl is five.
Who is the uncle of Dippy Derek?
They all purchased some books that cost a whole amount in Madadian Wonks.
When they leave the bookshop, they notice that both uncles have spent 21 Wonks more than their respective nephews. Moreover, each of them paid per book the same amount of Wonks as books that he bought.
The difference between the number of books between Mad Ade and Crazy Carl is five.
Who is the uncle of Dippy Derek?
Answer
Mad Ade is Dippy Derek's uncle.Since each nephew pays "per book the same amount of Wonks as books that he bought," the number of Wonks each nephew paid is the square of the number of books he bought. Since each uncle spent 21 Wonks more than his nephew, the two scenarios are:
A) Uncle, 25w (5 books, 5w each)
B) Nephew, 4w (2 books, 2w each)
C) Uncle, 121w (11 books, 11w each)
D) Nephew, 100w (10 books, 10w each)
Since the difference between the number of books between Mad Ade and Crazy Carl is 5, and since Mad Ade is one of the uncles, Mad Ade bought 5 books (A) and Crazy Carl bought 10 books (D), which forces Dippy Derek into position B, as Mad Ade's nephew.
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Comments
Hard and fun but you have to like this kind of stuff! (I also like sticking hat pins into my eyeballs and going to the dentist).
I also like not going blind and eating candy.
um, yeah, you two do that...^^
why isn't this teaser under Math? it seems like you have to do a lot of math to get the answer...
why isn't this teaser under Math? it seems like you have to do a lot of math to get the answer...
The difficulty of this teaser lies not in the calculation but in the decyphering of pronouns. Third person plural pronouns are used to refer to the group as a whole, the two nephews, and the two uncles. In the absence of appositive or parenthetical clarifications, we're left to guess who is meant by "they", "their", and "them".
Yeah, what they said ^.
Seriously, I really liked this teaser. Thanks for posting.
Seriously, I really liked this teaser. Thanks for posting.
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