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More ways to get Braingle...

Mystery Number 6

Logic puzzles require you to think. You will have to be logical in your reasoning.

 

Puzzle ID:#45827
Fun:** (1.8)
Difficulty:**** (3.15)
Category:Logic
Submitted By:cnmne*us*****

 

 

 



There is a ten-digit mystery number (no leading 0), represented by ABCDEFGHIJ, where each numeral, 0 through 9, is used once. Given the following clues, what is the number?

1) Digit A is either a square number or a triangle number, but not both.
2) Digit B is either an even number or a cube number, but not both.
3) Digit C is either a cube number or a triangle number, but not both.
4) Digit D is either an odd number or a square number, but not both.
5) Digit E is either an odd number or a cube number, but not both.
6) Digit F is either an odd number or a triangle number, but not both.
7) Digit G is either an odd number or a prime number, but not both.
8) Digit H is either an even number or a square number, but not both.
9) Digit I is either a square number or a cube number, but not both.
10) Digit J is either a prime number or a triangle number, but not both.
11) A < B, C < D, E < F, G < H, I < J
12) A + B + C + D + E < F + G + H + I + J




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Comments

racoonieboytus*
Jul 16, 2010

What's a triangle number?



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