#### What have these words in common? ASPIRATED GRANGERS PRELATES SWINGERS CHASTENS

**Answer: ** All can be diminished by one letter (from begining and end alternately) forming a new word each time.

**Solution: **

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#### Given two 2s, “plus” can be changed to “times” without changing the results: 2 + 2= 2 x 2. The solution with three numbers is easy too: 1 + 2 + 3= 1 x 2 x 3. What is the answer for 4 numbers and for 5 numbers?

**Answer: ** Solution for 4 numbers:
1 + 1 + 2 + 4= 1 x 1 x 2 x 4.
Solution for 5 numbers:
1 + 1 + 1 + 2 + 5= 1 x 1 x 1 x 2 x 4
1 + 1 + 1 + 3 + 3= 1 x 1 x 1 x 2 x 4
1 + 1 +2 + 2 + 2= 1 x 1 x 2 x 2 x 2

**Solution: **

#### A frog fell into a well 12 feet deep. He could jump 3 feet, but every time he jumped 3 feet, he fell back 2 feet. How many times did he have to jump to get out of the well?

**Answer: ** The tenth jump took him out. (On the tenth jump he reached 13 feet and was out.)

**Solution: **

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