The correct option is B 288
Note that the smallest 3-digit number which is completely divisible by 18, 24 and 32 is the LCM(Least Common Multiple) of the numbers 18, 24 and 32.Thus,
218,24,3239,12,1623,4,1623,2,823,1,423,1,233,1,11,1,1
⟹LCM=2×3×2×2×2×2×3=288
Thus, the smallest 3-digit number which is completely divisible by 18, 24 and 32 is 288.