MHB Finding a number given conditions on the digits

  • Thread starter Thread starter Masuda
  • Start date Start date
  • Tags Tags
    Conditions
AI Thread 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 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
View full post »

Thread 'Six Pencil Puzzle'

Is it possible to arrange six pencils such that each one touches the other five? If so, how? This is an adaption of a Martin Gardner puzzle only I changed it from cigarettes to pencils and left out the clues because PF folks don’t need clues. From the book “My Best Mathematical and Logic Puzzles”. Dover, 1994.
View full post »
Thread 'Imaginary Pythagoras'

Thread 'Imaginary Pythagoras'

I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...
View full post »

Similar threads

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

Hot Threads

Recent Insights

Back
Top