As of May 2010, the Prime Minister of Bangladesh was

The correct choice is: “Sheikh Hasina”

Sheikh Hasina of the Awami League became Prime Minister of Bangladesh again in January 2009, after her party won the December 2008 general election, and was in office in May 2010. (She had earlier been Prime Minister in 1996–2001.)

“Khaleda Zia” (BNP) was Prime Minister in 1991–96 and 2001–06. “Ziaur Rahman”, her husband, was President of Bangladesh until his assassination in 1981. “Hussain Muhammad Ershad” was a military ruler and President in 1983–90.