One of the sites that I watch from time to time is Career Cup, which publishes coding questions that have been asked in actual job interviews. These questions came through this morning:

1) Consider a sorted singly-linked list having the following nodes: 10 -> 30 -> 50 -> 70 -> NULL. You are given a pointer to node 50 and a new node having the value 40. Can you insert node 40 correctly in the list maintaining the ascending order?

2) Given a linked list 5 -> 4 -> 3 -> 2 -> 1 produce a linked list 4 -> 2 -> 0 -> 2 -> 1 by subtracting the last node of the list from the first, the next-to-last node from the second, and so on, stopping at the midpoint of the list.

3) Write a program to output the number of consecutive trailing zeros in the factorial of a number. For example, if the number is 5, then 5! = 120, and there is one trailing zero.

Your task is to write programs to answer the three interview questions posed above. When you are finished, you are welcome to read or run a suggested solution, or to post your own solution or discuss the exercise in the comments below.

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