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Are x, y, and z consecutive integers?
(1) The remainder when x + y + z is divided by 3 is 2.
(2) The remainder when xyz is divided by 3 is 1.
x,y,z ~ 3x+3
(1) (3x+3)/3=q+2/3 <> 3x+3=3q+2 <> 3x=3q-1 <> any q value should eliminate the possibility of multiple of 3. Sufficient, answer - negative
(2) xyz/3=q+1/3 <> all multiples of 3 (for consecutive integers) should have a remainder of 3, otherwise x,y,z must not be integers; Sufficient, answer - negative
(1) The remainder when x + y + z is divided by 3 is 2.
(2) The remainder when xyz is divided by 3 is 1.
x,y,z ~ 3x+3
(1) (3x+3)/3=q+2/3 <> 3x+3=3q+2 <> 3x=3q-1 <> any q value should eliminate the possibility of multiple of 3. Sufficient, answer - negative
(2) xyz/3=q+1/3 <> all multiples of 3 (for consecutive integers) should have a remainder of 3, otherwise x,y,z must not be integers; Sufficient, answer - negative
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