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
Statement 1 : implies that\(z=y!+1\) &\(y!\) are consecutive and hence co-prime. Two consecutive integers are co-prime, which means that only common factor is\(1\) .
For example\(2\) and\(3\) ,\(40\) &\(41\) etc. are consecutive integers, thus only common factor they share is\(1\) .
so\(z\) will have\(1\) as a common
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