Step 1: Eliminate the non-playwrights: Ibn Battuta was a Moroccan traveller who wrote a travelogue (Rihla), not a Sanskrit play — ruled out immediately.
Step 2: Distinguish the two remaining Sanskrit works: Vishakhadatta's known work is Mudrarakshasa (about Chandragupta Maurya's minister Chanakya), a political drama — not Mrichchakatikam. Mrichchakatikam's known author is Shudraka.
Final Answer: (C) Shudrak.