### Brain Teasers

# Squares and Cubes and Squares

1) There is only one 2-digit number that is both a square and a cube. What is it?

2) There is only one 3-digit number that is both a square and a cube. What is it?

3) Which 3-digit number, made of consecutive digits, is 2 less than a cube and 2 more than a square?

4) What 2-digit number is 1 more than a square and 1 less than a cube?

2) There is only one 3-digit number that is both a square and a cube. What is it?

3) Which 3-digit number, made of consecutive digits, is 2 less than a cube and 2 more than a square?

4) What 2-digit number is 1 more than a square and 1 less than a cube?

### Answer

1) 64;8 times 8 and 4 times 4 times 42) 729; 27 times 27 and 9 times 9 times 9.

3) 123 is two more than 121(11 times 11) and two less than 125(5 times 5 times 5)

4) 26 is one more than 25(5 times 5) and one less than 27(3 times 3 times 3)

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