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School Shelves (Posted on 2003-09-06) Difficulty: 3 of 5
Frances Farrell loves children. Having chosen to stay at home during her child's early years, she enthusiastically opened a small nursery school to care for her own child and five other preschoolers. In the entry-way stand a bookcase with six numbered compartments (numbered top to bottom, then left to right), each assigned to a different child for his or her possesions, including a favorite toy.

From the information given, determine each child's full name (one girl's first name is Janet), shelf assignment, and favorite toy (one is a puzzle).
  1. Kevin and the Baker child, who are the two tallest children, are assigned the two top shelves, while the Lorenz child, who is the third tallest, has a shelf with a higher number than Mark's.

  2. Holly has a higher shelf than the Collins child, who has a shelf located immediately to the right of the one containing a picture book.

  3. The shelf belonging to the Forbes child and the one which holds a box of crayons are both even-numbered shelves.

  4. Darren's toy and the set of blocks sit side-by-side on shelves that are above the fire engine.

  5. The teddy bear is on the shelf directly below Monica's and directly above the McKenna child's.

See The Solution Submitted by DJ    
Rating: 4.3478 (23 votes)

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Solution re: SOLUTION? | Comment 22 of 27 |
(In reply to SOLUTION? by DJ)

Well gee, OK. Here goes: This is how I went about this problem. (Sorry for this VERY lengthy discussion)

First, I drew the shelves, numbered from one to six (top to bottom then left to right). Each shelf has three characteristics. A first name, a surname and a toy. So I divided each shelf in three parts (kinda like this):

-------------------------------
| 1 : : | 4 : : |
| : : | : : |
| : : | : : |
-------------------------------
| 2 : : | 5 : : |
| : : | : : |
| : : | : : |
-------------------------------
| 3 : : | 6 : : |
| : : | : : |
| : : | : : |
-------------------------------

Right, now comes the fun part. I used the first column for the name, next the surname and lastly the toy. Every clue gives you a few possibilities. These should ALL be written down in thhe shelves.

Clue 1:
**Kevin's surname is NOT Baker**. Kevin and the Baker kid is on the top shelves (1 and 4). The Lorenz kid can at this stage be either on shelf 2 or 5, because we don't know if Mark may be the Baker kid. Thus write in Kevin in both the top shelf names and Baker in the top surnames. Write Lorenz in shelf 2 and 5 surnames.

Clue 2:
**Holly's surname is NOT Collins**. Collins is in a shelf on the right and lower than Holly. This would mean that Collins is in 5 or 6 (write it in there) and Holly would be in one of the four higher shelves (yep, write it down now). The picture book is on the left in either 2 or 3.

Clue 3:
Forbes and Crayons are in even numbered shelves. ie. in 2, 4 or 6. **Forbes does NOT own Crayons**.

Clue 4:
**Darren does NOT own blocks**. Daren and the Blocks are both in the four higher shelves (1,2,4 and 5). Fire eng. is in the four lower shelves (2,3,5 and 6). Write all of these in the right spots as you are going along...

Clue 5:
This is the best clue. We know that the Teddy is on one of the middle shelves. The McKenna kid sits at the bottom and Monica is at the top and her surname is Baker!!

Now we need to slowly digest all the above info.
We can start by noting that the top two kids have the names Monica and Kevin. Thus, we can cross out Holly and Daren.

From clue 2: Holly has a higher shelf... That means she MUST be in either 2 or 5. which means that the Collins kid must be in the bottom right shelf: " to the right of the one containing the picture book" We also KNOW that the picture book is in the bottom left. Encircle the picture book in the bottom left and also Collins in the bottom right. Cross out the picture book in 2. Also the other surnames in 6. We now also know that the fire engine is in 6: From clue 4: "Darrens toy... above the fire eng." Since Kevin and monica is top most, Daren must be in 2 or 5. The fire engine must be in the bottom and to the right, since the picture book is to the left... (encircle the fire eng. in 6 and cross out the crayons. Also get rid of the fire engine everywhere else)

From clue 5: We see that the McKenna child is at the bottom (must be 3, because Collins is in 6). Meaning that the Teddy IS in 2 and Monica is in 1. Thus Baker is also in 1 (Monica Baker) And Kevin is in 4.

From clue 1: "Lorenz has a shelf with higher number than Mark's" That can only be shelf 5. And Mark must be in either 2 or 3.

Back to clue 4: Darren IS in either 2 or 5 (because he sits above the fire truck in 6) therefore the blocks and the Teddy are neigbours. So the blocks are in 5 and Darren is in 2.

Clue 3: The even numbers. The crayons must be in shelf 4 because 2 and 6 are occupied by the teddy and the fire eng. And since the crayons don't belong to the Forbes kid, he MUST be in 2.

Lets just recap what we know for sure.
1. Monica Baker
2. Darren Forbes, Teddy
3. McKenna, Picture Book
4. Kevin , Crayons
5. Lorenz, Blocks
6. Collins, Fire eng.

Clue 2: Holly has a higher shelf than Collins. Thus it must be 5, because Darren is in 2.

Clue 1: Lorenz has a higher number than Mark. Lorenz is in 5. The only lower number stil needing a name is 3, thus Mark is in three.

Now we still need a first name in 6, a surname in 4 and a toy in 1. These are all given in the first two paragraphs: Janet, Farrel and Puzzle.

Thus, to summarise the solution:
1. Monica Baker, Puzzle
2. Darren Forbes, Teddy
3. Mark McKenna, Picture Book
4. Kevin Farrel, Crayons
5. Holly Lorenz, Blocks
6. Janet Collins, Fire Engine

Hope this covers it. Let me know if anything is amis.
  Posted by ratsnstuff on 2003-10-02 06:36:52

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