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... asked him how many meals he usually had each day. 'Well,' replied Waldo, 'I'm thinking of three 3-digit numbers that add up to 1999.' 'Yes ... ' I ventured 'And all the digits are different, no rep...
Two operations may be carried out with numbers: doubling and adding 1. In what least number of these operations can the number 0 be transformed into the number a) 1000 ? b) n ?
... Great read and he does a fantastic job upto and including linear Diophantine problems and the Pythagorean numbers, but then kinds of whooshes through the nonlinear problems. Could someone give me a h...
You are paging through an almanac with entries involving the areas and populations of thousands of countries, states, provinces, counties. towns, villages, townships, islands, etc. About what percen
...egers (e.g., 1 through N) are written on a piece of paper. The two players take turns selecting one of the numbers on the piece of paper and crossing it off. After a number has been selected, it can't...
...f them, post questions to get an answer, I would be honest in saying that in my day to day job I don't use numbers and my use of math stopped quite a few years ago, and so any number puzzles put me of...
Can someone find the next 3 numbers in the following series ? 34631, 22203, 14745, 10095, 8649, 6933, 5533, 4580 Bonus question : What is so special about this series ? Happy Hunting !
... 2401=7^4 7=2+4+0+1 ... The question: Is there for every exponent B a basenumber A, with the (sum of the numbers of A^B)=A ?? Is there an example with the exponents 5, 6, 7 and 8 ? Is this possi...
These are the CORRECTED results to Numbers Contest NUM4. Hi. Gerrit de Blaauw pointed out that there was a mistake in the scoring of the last contest. A single '6 ' in question F was read by the sco
...e yellow ring and the number of points for a hit in the red ring. The number of points were positive whole numbers. Each of the marksmen hit the red 'bulls-eye' ring a different number of times, and...
... was playing (I can't remember what the game was). From a given integer range 1...n, he would have to pick numbers which he got to add to his total, and his opponent would get the remaining factors of...
...he original number. Thus, 216513 is excellent because it is equal to 513^2 - 216^2. How many excellent numbers can you find of length 299-302 (inclusive)? It is is suggested that this problem fi...
Don't need spoiler space for this one... We were talking about hotels with infinite numbers of rooms recently... how about
...rove geometrically: Plot time on the x-axis and distance from the bridge on the y-axis, say, with positive numbers standing for movement in the direction of the river flow. Draw a line from the origin...
You have a rod one unit in length. You generate four random numbers between 0 and 1. You cut the rod at the points indicated by the lowest and the highest of these four numbers, measuring each point
...d passed since the last broadcasting of each listed program type. Performing certain operations with these numbers, and possibly introducing some other factors too, would derive the sought index for t...
...initessimally, and the basic argument you gave would have been the same if we were just talking about pure numbers rather than money (I write down two numbers n and 2n and put them in an envelope, and...
Here is a problem on expressions for successive integers by J.A.H. Hunter. It's the Numbers Game today, with 4433. Using all four each time, but only the two 4s and two 3s, and no other figures at a
...pictures, is there any way to determine the order in which the pictures were taken? (Assume that the frame numbers on the edge of the film do not appear in the prints!) c) Knowing that the distance ...
I have arrived at the following series, which corresponds to the numbers from 1 to 10: 0, 2, 8, 20, 40, 70, 112, 168, 240, 330... My question is, can someone notice a geometric pattern here? All o
...r represents the number 1 and so on... If you have one length of 7 and one of 8 meters, then you can build numbers 1 (put 7 next to 8), 7, 8 and 15. What lengths should you cut the rope in? (Sorry i...
A Latin square is an n x n array containing the numbers 1 to n exactly once in each row and exactly once in each column. For example, L is a Latin square: 123 231 312 L A critical set C in a L
This is my fourth Numbers Contest, NUM4 Do NOT post answers to any newsgroup. Entries must reach here by Sunday, November 4th, 2001, 2:00 P.M. (L.A. time, zone -7). If you like this contest, you m
I heard of some rule that only even numbers (or odd numbers) can be expressed with the summing of primes. But that isn't correct, I don't think. How does the rule go? Thanks,
...a bit of paper. Hand it to someone and say 'How can you make this sum be true, without changing any of the numbers. The 'x' is a genuine multiply and the = a genuine equals. the numbers are genuine nu...
Given a sequence of numbers a = , each of which is a single-digit integer (ie., 0
...are told what to do if you get 27 or above as a result. There's no way that's relevant if you subtract the numbers....
...igures each time, one of each and with no other figures at all, you make up expressions for the successive numbers starting at one, Regular arithmetical signs may be used, including decimals both regu...
...besides any beautiful designs which result...) is the scoring. Each player's score is the product of the numbers of squares in the 'islands' formed of their colors/symbols. An island is any contiguo...
...following puzzle possible to solve? A B C D E F G H I The above alphabetical arrangement represent the numbers 1 - 9. Arrange the numbers, keeping the geometrical arrangement above, in a way that ...
.... 2 - is a C. (3 is S M I N A) 3 = ML (could it be 3 mile limit?) 9 = WOAW(i) WIGPO this is correct - no numbers 157 = MDOTSOGIF 10 = GH 1956 = VTRDBA 10 = LT 1 = WM 2 = TIADS 9 = POTL 2 = HR 6 = BI...
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