Bunuel wrote:
If x is a positive integer, is x divided by 5 an odd integer?
(1) x contains only odd factors
(2) x is a multiple of 5
Given x>0
Statement 1
x contains only odd factors
If x = 5, then x divided by 5 will be an odd integer (yes)
If x = 3, then x divided by 5 will not even be an integer (no)
Hence, Insufficient
Statement 2
x is a multiple of 5
If x = 5, then x divided by 5 will be an odd integer (yes)
If x = 10, then x divided by 5 will be an even integer (no)
Insufficient
Statement 1 and 2
x is an odd multiple of 5, so x divided by 5 will always result in an odd integer.
Sufficient.
Answer - C.