Q4.

Consider a series of letters placed in the following way

U _ G _ C _ C _ S _ I _ R

Each letter moves one step to its right and the extreme right letter takes the first position, completing one operation. After which of the following number of operations do both the Cs not sit side by side?

Q5.

Suppose three meetings of a group of professors were arranged in Mumbai, Delhi, and Chennai. Each professor of the group attended exactly two meetings. 21 professors attended the Mumbai meeting, 27 attended the Delhi meeting and 30 attended the Chennai meeting. How many of them attended both the Chennai and Delhi meetings?