document.write( "Question 113284: Think of a number between 99 and 999. Consider the following: the number is less than 500; the number is a perfect square; it is a cube; the first and last digits of the number are 5, 7, or 9. If one statements above is false, find the number and tell why the statement you chose is not true. \n" ); document.write( "

Algebra.Com's Answer #82442 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "Think of a number between 99 and 999. \r
\n" ); document.write( "\n" ); document.write( "My number is $\"57\"$ \r
\n" ); document.write( "\n" ); document.write( "Consider the following: \r
\n" ); document.write( "\n" ); document.write( "the number is less than 500; $\"true\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"57%3C500\"$ \r
\n" ); document.write( "\n" ); document.write( "the number is a perfect square; $\"false\"$ , cannot be written in the form $\"n%5E2\"$ (last digit is $\"7\"$ , prime number whose divisors are 1 and itself)\r
\n" ); document.write( "\n" ); document.write( "it is a cube; $\"false\"$ , cannot be written in the form $\"n%5E3\"$ (if we take 4^3 we will have 64 which is less then 57, and if we take 5^3 it will be 125 which is greater then 57)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the first and last digits of the number are 5, 7, or 9,
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