May 27th Brain Teaser Solution


Brain Teasers: A brain teaser is a form of puzzle that requires thought to solve. It often requires thinking in unconventional ways with given constraints in mind; sometimes it also involves lateral thinking. Logic puzzles and riddles are specific types of brain teasers. Today's can be found below....

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The Teaser

1. Tom is younger than Rose, but older than Will and Jack, in that order. Rose is younger than Susie, but older than Jack. Jack is younger than Jim. Susie is older than Rose, but younger than Jim. Jim is older than Tom. Who is the oldest?

2. Allie takes fruit, cake, and cookies for her picnic. She has three boxes for them. One is labeled FRUIT. One is labeled COOKIES. One is labeled CAKE. But she knows her Mom likes to fool her and has put every single thing in the wrong box. The only other thing she knows for sure is that the fruit is not in the CAKE box. Where is the cake?

3. A block of wood in the form of a cube 3" x 10" x 13" has all its six faces painted pink. If the wooden block is cut into 390 cubes of 1" x 1" x 1", how many of these would have pink paint on them?

 

The Solution

1. Jim

2. The cake is not in the CAKE BOX, and it cannot be in the COOKIE BOX, because that is the only place for the fruit; so it must be in the box labeled FRUIT.

3. The 1 inch x 1 inch x 1 inch cubes that do not have any pink paint on them will be at the core of the wooden block. This core will be 1 inch x 8 inch x 11 inch, and will contain 88 cubes. Out of a total of 390 cubes, there are 88 cubes without any pink paint on them. Therefore, the remaining 302 cubes will have one, two or three sides with pink paint on them [depending on whether they were at the face, edge or corner of the wooden block].

 

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