Note: Whenever you see information about the greatest common divisor (GCD) and the least common multiple (LCM), you should keep the following rule in mind:shrutib wrote:x and y are positive integers. is xy multiple of 8?
1.the greatest common divisor of x and y is 10.
2. the least common multiple of x and y is 100
(GCD of x and y)(LCM of x and y) = xy
Statement 1: The greatest common divisor of x and y is 10
case a) x=10 and y=10, in which case xy is not a multiple of 8
case b) x=10 and y=80, in which case xy is a multiple of 8
NOT SUFFICIENT
Statement 2: The least common multiple of x and y is 100
case a) x=100 and y=1, in which case xy is not a multiple of 8
case b) x=100 and y=100, in which case xy is a multiple of 8
NOT SUFFICIENT
Statements 1 & 2
Use our handy formula:
(GCD of x and y)(LCM of x and y) = xy
(10)(100) = xy
1000 = xy
xy is definitely a multiple of 8
SUFFICIENT
Answer = C
Cheers,
Brent
