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In this intriguing number puzzle, we need to find an odd palindromic number that meets several criteria. The number must be greater than 400, not a multiple of 5, have all odd digits, and must not be divisible by 3. Additionally, the sum of its digits should be less than 20, and it must contain two different digits, with at least one digit being greater than 6. The product of the digits should also result in a two-digit number. Can you identify the mysterious number from the clues provided? The answer is 919.
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X = a whole number 10 X < (80-5·3)
X = a whole number 10 X < (80-5·3) X ≠ square root of 400
X = a whole number 10 X < (80-3·5) X ≠ square root of 400 X = a number with only even digits
X = a whole number 10 X < (80-5·3) X ≠ square root of 400 X = a number with only even digits X ≠ the sum of interior angles of a triangle divided by 3
Choose a number that is less than the number of mm in a meter
X is an odd number X > 400
X is an odd number X > 400 X is not a multiple of 5
X is an odd number X > 400 X is not a multiple of 5 X is a palindromic number
X is an odd number X > 400 X is not a multiple of 5 X is a palindromic number X is a number with all odd digits
X is an odd number X > 400 X is not a multiple of 5 X is a palindromic number X is not divisible by 3 X is a number with all odd digits
X is an odd number X > 400 X is not a multiple of 5 X is a palindromic number X is not divisible by 3 X is a number with all odd digits X is a number with the sum of the digits less than 20
X is an odd number X > 400 X is not a multiple of 5 X is a palindromic number X is not divisible by 3 X is a number with all odd digits X is a number with the sum of the digits less than 20 X is a number containing two different digits
X is an odd number X > 400 X is not a multiple of 5 X is a palindromic number X is a number with all odd digits X is not divisible by 3 X is a number with the sum of the digits less than 20 X is a number containing two different digits X is a # with at least one digit greater than 6
X is an odd number X > 400 X is not a multiple of 5 X is a palindromic number X is a number with all odd digits X is not divisible by 3 X is a number with the sum of the digits less than 20 X is a number containing two different digits X is a # with at least one digit greater than 6 X is a # whose product of the digits is a 2 digit #
699 ≤X ≤ 999 X is an odd number X > 400 X is not a multiple of 5 X is a palindromic number X is a number with all odd digits X is not divisible by 3 X is a number with the sum of the digits less than 20 X is a number containing two different digits X is a # with at least one digit greater than 6 X is a # whose product of the digits is a 2 digit #
699 ≤X ≤ 999 X is an odd number X > 400 X does not contain the 1st or 4th prime #’s X is not a multiple of 5 X is a palindromic number X is a number with all odd digits X is not divisible by 3 X is a number with the sum of the digits less than 20 X is a number containing two different digits X is a # with at least one digit greater than 6 X is a # whose product of the digits is a 2 digit #
