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The Treasury sold 4.5 billion euros ($6.2 billion) compared to a target range of between 3.5 billion and 4.5 billion euros.
The 6-month bill sold 1.2 billion euros at an average yield of 0.362 percent compared to a 0.369 percent at the last auction of the same maturity April 10.
The bond was 4 times subscribed after 3.9 times previously.
The 12-month bill sold for an average yield of 0.598 percent above 0.556 percent previously, though the third lowest on record after sales in March and April.
The Treasury sold 3.3 billion euros of the bill, though demand outstripped that by 2.6 times compared to 2 times in April.