Calculate the mass of lithium hydroxide that must be added to 50ml of water so that it may react exactly with 5ml solution of 1.5M nitric acid.

Write and balance the equation.

LiOH + HNO3 ==> LiNO3 + H2O

How many moles HNO3 do you have? That's M x L = ?
How many mols LiOH is that? Since 1 mol LiOH = 1 mol HNO3, mols LiOH = mols HNO3 (from the equation).
mass LiOH = mols LiOH x molar mass LiOH.