Answer : The correct option is, 0.2 mole Y left over .
Explanation : Given,
Moles of X = 4.8 mole
Moles of Y = 3.4 mole
The balanced chemical reaction is,

From the balanced reaction, we conclude that
As, 3 moles of X react with 2 moles of Y
So, 4.8 moles of X react with
moles of Y
From this we conclude that, the reactant Y is an excess reagent and X is a limiting reagent.
The moles of excess reagent left over at the end of the reaction = Given moles of X - Required moles of X
The moles of excess reagent left over at the end of the reaction = 3.4 - 3.2 = 0.2 mole
Therefore, the moles of excess reagent left over at the end of the reaction is, 0.2 mole Y left over.