Each of the ten digits is represented by a different letter of the alphabet in the following:

ONE, FOUR and NINE are perfect squares. That's all true.

Of the following statements, more than one is true:

EIGHT is even.
EIGHT + 1 is a perfect square.
EIGHT + ONE is a perfect square.
EIGHT - 1 is a prime.
EIGHT - ONE is a prime.
EIGHT + 7 is the product of two primes.
EIGHTEEN is divisible by 3.
EIGHTEEN is divisible by THREE.
EIGHTEEN - 2 is a perfect square.

What is RIGHT?

RIGHT is 45798.  There may be more than one RIGHT answer, but I stopped when this one worked.

EIGHT is 15798, 15797 is prime

 

Solved by narrowing down possiblities for ONE, NINE, FOUR by squares.  It helps to have a list of Primes and Squares.

Posted by A on 2007-02-17 16:11:58