MHB Finding a number given conditions on the digits

  • Thread starter Thread starter Masuda
  • Start date Start date
  • Tags Tags
    Conditions
Click For Summary
The integer in question must be a multiple of five, three, and seven, with unique digits. The tens place digit is a square number, the hundreds place digit is a cube, and the hundreds thousands place digit is both a square and a cube. Additionally, only the hundreds place digit is larger than the digits in the ones place. The discussion emphasizes the importance of showing work to facilitate assistance from math helpers. The criteria apply to both positive and negative versions of the number.
Masuda
Messages
1
Reaction score
0
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?
 
Mathematics news on Phys.org
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 :o
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
View full post »

Similar threads

MHB Recreational Number Theory, Unsolved Problem
  • · Replies 1 ·
Replies
1
Views
2K
MHB Find A in abcd=A(four digital number) is a perfect square ,given ab=2cd+1
  • · Replies 2 ·
Replies
2
Views
2K
MHB Find the Two-Digit Number: Exceeds by 4 and 1 Less Than Twice the Units Digit
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad Alternating Harmonic Numbers are cool, spread the word!
  • · Replies 4 ·
Replies
4
Views
3K
MHB What numbers is Ron thinking of for his Mystery Number?
  • · Replies 6 ·
Replies
6
Views
3K
MHB Perfect Cube & Square: 5-Digit Number
  • · Replies 2 ·
Replies
2
Views
2K
MHB *Find the Number Satisfying the Given Conditions
  • · Replies 3 ·
Replies
3
Views
2K
MHB Can You Find the 8-Digit Number That is a Multiple of 2013 in Greg's Solution?
  • · Replies 3 ·
Replies
3
Views
2K
MHB 1000 th Digit in a Given number N
  • · Replies 1 ·
Replies
1
Views
1K
MHB Find All Possible Solutions to $A$: 9 Digit Number
  • · Replies 5 ·
Replies
5
Views
1K