grandh01 wrote:If x, y, and z are three integers, are
they consecutive integers?
(1) z - x = 2
(2) x < y < z
OA is C
grandh01 wrote:If x, y, and z are three integers, are
they consecutive integers?
(1) z - x = 2
(2) x < y < z
OA is C
statement 1:
z-x = 2
we don't know anything about y
let z = 4
since z - x = 2 , x = 2
y can be 5 , in which case 2,4 & 5 are not consecutive integers. NO
y can be 3 , in which case 2,3 & 4 are consecutive integers. YES
Hence the statement is insufficient
Statement 2:
x<y<z
2<4<6 Not consecutive integers but satisfy the equation. NO
2<3<4 Consecutive integers and satisfy the equation. YES
Hence the statement is insufficient
Combining both the statement
Since x,y&z are integers , z - x = 2 and x<y<z
therefore z - y (must be) = 1 to satisfy all the above conditions.
Hence x, y & z are consecutive integers.
Sufficient
The correct answer is C
