In the context operating systems, which of the following statements is/are correct with respect to paging?

Consider allocation of memory to a new process. Assume that none of the existing holes in the memory will exactly fit the process's memory requirement. Hence, a new hole of smaller size will be created if allocation is made in any of the existing holes. Which one of the following statements is TRUE?

In which one of the following page replacement algorithms it is possible for the page fault rate to increase even when the number of allocated frames increases?

A computer system implements a $$40$$-bit virtual address, page size of $$8$$ kilobytes, and a $$128$$-entry translation look-aside buffer $$(TLB)$$ organized into $$32$$ sets each having four ways. Assume that the $$TLB$$ tag does not store any process id. The minimum length of the $$TLB$$ tag in bits is ________________.