chetan2u wrote:
If x, y and z are positive integers and x < y, what are the number of common factors between x and z?
(1) \(z = y! + 1\)
(2) \(x = 11\) and \(y = 12\)
self made : challenge Q
Kudos for first few correct solutions
It is a tough Q and the solution would go like this...
(1)\(z = y! + 1\)
z=y!+1...
first thing first - All the numbers below y are factors of y! as\(y! = 1*2*3*....(y-1)*y\) ,so when we add 1 to y!, y!+1 will be co-prime to all the numbers below y
this is what the Q is asking... y!+1 is
...
![Midge Ure – A Man of Two Worlds (2026) [Official Digital Download 24bit/96kHz]](http://imghd.xyz/images/2026/05/09/zvc67e2mth34l_600.jpg)
.jpg)
