## Mystery Number 6Logic puzzles require you to think. You will have to be logical in your reasoning.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 ## What Next?
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