can anyone explain me how to approach this one ?
IF n is a positive integer less than 2OO and 14n/6O is an integer then n has how many different positive prime factors?
I would go with B too.
14n/60 is an integer or 7n/30 is an integer.
so n must be a multiple of 30 (positive prime factors of 30 are 2,3, & 5) and we know n < 200.
=> n = 30X where x can be 1,2,3,4,5,6 (X cannot be > 6 otherwise n > 200)
=> so the prime factors of n are the same as the Possible prime factors of 30 - 2,3,5