Can you tell who _____ this institute now?

Can you tell who _____ this institute now?

Explanation

Can you tell who is running this institute now?

کیا آپ بتا سکتے ہیں کہ اب یہ ادارہ کون چلا رہا ہے؟

"Is running" is the present continuous tense.

It indicating the person currently in charge of managing the institute.