sumatitandon wrote:The integers m and p are such that 2 < m< p , and m is not a factor of p, if r is the remainder , when p is divided by m , is r > 1?
1) The greatest common factor of m and p is 2
2) the least common factor of m and p is 30
If 1) is true, then m and p are both divisible by 2; in other words, m and p are both even. Whenever you divide one even number by another, the remainder must be even, so r cannot be 1. Since we're told r is not zero, then r must be greater than 1, and this statement is sufficient.
If 2) is true, it is still possible that r = 1. For example, we might have p = 6 and m = 5.
A.
. I think I miss understood your analysis of the second statement. I think I don't understand the difference between common factor and common multiple.
