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Was once led by Saddam Hussein
Its capital city is Tehran
The Tigris and Euphrates rivers run through it
Borders the Caspian Sea
Has a majority Shia Muslim population
Has two official languages
Iraq's official languages are Arabic and Kurdish. Iran's official language is Persian.
Its most powerful leaders are elected democratically
Iran's Supreme Leader is not elected by the people and has been in power since 1989. Not only can he override the actions of the President and Parliament, he directly controls the courts, military, and state TV
More than 5% of the population is Kurdish
Iran is about 10% Kurdish and Iraq is about 15% Kurdish
Does not recognize Israel
Invaded the other in the beginning of the Iran-Iraq War
Is a member of OPEC, the Organization of Petroleum Exporting Countries
Women are required by law to wear a headscarf (hijab) in public
Ironically, in the 1930s Iranian women were banned from wearing the hijab in public
Basra is one of its major cities
Where the world's first system of writing was developed around 3200 BC
Is home to Asia's only wild cheetah population
Was part of George Bush's "Axis of Evil"
North Korea was the third member
Has the higher average elevation
As an iranian I can tell you that the supreme leader is not DIRECTLY elected by the people. The assembly of experts that its members are directly elected by the people in elections simultaneous with parliament election (each 4 years) is responsible for electing the new or reinstating (or disposing) the incumbent leader. It's true that Iran's supreme leader has been in power since 1989, but it do not violate the law, because the leader may be disposed in cases of treason, inconsistency , or incapability. There is a hot debate about dictatorship or democratic stance of the leader, but in any case Iran's leader as the most powerful political figure of the country is democratically elected.
Furthermore, the guardian council rejects and not selects. it is tasked to reject the ones who fail to meet the predefined criteria. For example presidential candidates must meet 11 criteria from that for example he (and not she) must be born in Iran and be able to control the country (based on his previous carrier). The rejected candidates have the right for an appeal and the council must express what criteria are not met and why. I propose you to study the constitution of IRI, not Wikipedia articles.
For 5 out of the 10 Iran/Iraq/Both questions the correct answer is "both", which looks lazy in my opinion.