If \([x]\) denotes the greatest integer less than or equal to \(x\) for any number \(x,\) is \([a]+[b]=1?\)

[Gmat_mission]

If \([x]\) denotes the greatest integer less than or equal to \(x\) for any number \(x,\) is \( [a] + = 1?\)

(1) \(ab=2.\)

(2) \(0<a<b<2.\)

Answer: A

Source: GMAT Club Tests