1 9 2
3 8 4
5 7 6
where the First Row + Second Row = Third Row
Find other possible arrangements.
Showing posts with label puzzle. Show all posts
Showing posts with label puzzle. Show all posts
Monday, 26 September 2011
Num3er puzzle #4: Concatenation
Definition:
Concatenation is the joining of two numbers by their numerals. That is, the concatenation of 123 and 456 is 123456.
Concatenation of numbers A and B is denoted A||B.
Puzzle:
Find a perfect square of 12 digits formed from the concatenation of two perfect squares, one having 4 digits and the other 8 digits. None of the three perfect squares can begin with a zero.
A is a 4-digit number, B an 8-digit number making C a 12-digit number, all in base 10.
Concatenation is the joining of two numbers by their numerals. That is, the concatenation of 123 and 456 is 123456.
Concatenation of numbers A and B is denoted A||B.
Puzzle:
Find a perfect square of 12 digits formed from the concatenation of two perfect squares, one having 4 digits and the other 8 digits. None of the three perfect squares can begin with a zero.
A is a 4-digit number, B an 8-digit number making C a 12-digit number, all in base 10.
Num3er puzzle #3: Curious 48
Add 1 to 48 you get...
48 + 1 = 49 = 7 * 7 = 7^2 (a square)
and if you add 1 to its half, you also get a square number
24 + 1 = 25 = 5 * 5 = 5^2
Could you find other numbers sharing this property?
In other words, find x such that x + 1 and (x / 2) + 1 are squares
48 + 1 = 49 = 7 * 7 = 7^2 (a square)
and if you add 1 to its half, you also get a square number
24 + 1 = 25 = 5 * 5 = 5^2
Could you find other numbers sharing this property?
In other words, find x such that x + 1 and (x / 2) + 1 are squares
Sunday, 25 September 2011
Num3er puzzle #2: A 6-digit number
Find a 6-digit number (consisting of 6 different digits) when multiplied by 2,3,4,5 and 6 gives in all cases a new 6-digit, which, in all cases, is a permutation of the original 6 different digits.
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