Finding a number given conditions on the digits

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In summary, the question asks for an integer that is a multiple of 5, 3, and 7, with no repeating digits. The tens place must be a square number, the hundreds place a cube, and the hundreds thousands place both a square and a cube. Only the digit in the hundreds place is larger than the ones place. The request is for the number that meets these criteria, and whether they apply to both positive and negative integers. The person responding also encourages posting attempted work to aid in finding a solution.
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Masuda
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The question is:
There is only one integer that can be the to this problem.It is a multiple of five,three,seven.No digit occurs ore than once.Can you find the number? The digit in the tens place is a square number.The digit in the hundreds place is a cube.The digit in the hundreds thousands place is both a square and a cube.Only the digit in the hundreds place is larger than the digits in the ones place.

What is the integer?Do these criteria apply to both the negative and positive signs of that number?
 
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  • #2
Hi. (Wave) Welcome to MHB. We ask that you post any of your work that you've tried to show some effort so it becomes easier for the math helpers to assist you in the problem. It becomes much easier for them to help when they know what you have tried and up to what level you understand the question.

Thank you and be sure to stick around :eek:
 

Related to Finding a number given conditions on the digits

1. How do I find a number that meets specific conditions on the digits?

To find a number that meets specific conditions on the digits, you can use various mathematical techniques such as algebraic manipulation, trial and error, or creating a system of equations. It also depends on the specific conditions given.

2. Can I use any digit to create a number with specific conditions?

Yes, as long as the digits used are within the number system being used (e.g. base 10 for decimal numbers), you can use any digit to create a number with specific conditions. However, some conditions may require specific digits to be used.

3. What are the most common conditions that are given for finding a number?

The most common conditions include the sum or product of the digits, the number of digits, the placement of specific digits, and the divisibility of the number by a certain number.

4. Is there a specific order in which the conditions should be solved?

No, the order in which the conditions are solved does not affect the final result. However, it is recommended to start with simpler conditions and then move on to more complex ones.

5. Can I use a calculator to find a number with specific conditions?

Yes, you can use a calculator to find a number with specific conditions. However, some conditions may require mental math or manual calculations to find the solution.

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