*Eurozone April Core CPI Up 0.8% Annually, Consensus 0.8%

*Euro Gains Amid Euro-zone Data; Now At 1.2405 Against Dollar

*Eurozone April Consumer Prices Rise 0.5% On Month, Consensus 0.4%

*Eurozone March Exports Up 7.5% On Month, Imports Rise 10.3%

*Eurozone April Annual Inflation 1.5% Vs. 1.4% In March