If you are 25, a degree holder and hold a career as a professional, and you are not knowledgeable about even the simplest general knowledge (like 'Who is the current DPM?' It's not even 'Who sat in the position of the United States Secretary of State before Condoleezza Rice?') even a school-goer knows, it is definitely NOT COOL.
Do not exaggerate on your ignorance. It is obviously not something to boast about.
People may not think your mind is too occupied on something else; people would just think you're dumb. Even a pretty face won't be able to cover it.
So don't show your dumbness just to appear cool. It won't work. Especially with me. It won't elevate my impression on you.