The attacks were the latest in a wave of violence that has claimed more than 2,000 lives since the beginning of April. Militants, building on Sunni discontent with the Shiite-led government, appear to have grown stronger in central and northern Iraq.
The deadliest attack came at night when two car bombs exploded within minutes on a commercial street in the mixed neighborhood of Jihad in western Baghdad, killing eight people and wounding 21 others, police said.
Police said car bomb exploded near a supermarket on a main commercial street in the Shiite Karrada neighborhood, killing five people and wounding 16.
Just after sunset, police said a car bomb went off near an outdoor market in the Shiite suburb of Nahrawan, killing four civilians and wounding 15 others.
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Minutes later, a car bomb went off near a market in the Shiite-majority neighborhood of New Baghdad. Police said that three people were killed and 10 others were wounded. Minutes later, a second car bomb hit a bus stop in the same neighborhood, killing two people and wounding eight others.
In the morning, a provincial police officer in Ninevah said a suicide attacker rammed his explosives-laden car into an army patrol in the city of Mosul, killing a soldier and a police officer. He said that seven people, including two civilians, were wounded. Mosul is 360 kilometers (220 miles) northwest of Baghdad.
Another officer said a second bomber blew set off his explosive-rigged belt inside a university campus in the city of Tikrit, killing a police officer. The city is 130 kilometres (80 miles) north of Baghdad.
There was no immediate claim of responsibility, but security forces and Shiite residents are frequently targeted by al-Qaeda's Iraq branch.