1). What will be the angle between the hour and minute hand of a clock when the time in clock is 3:15 A.M./P.M. 2). Consider three boxes, one has red balls, the other box has blue balls and the last box has both red and blue balls, but these three boxes are incorrectly labeled and you have to determine the correct labeling of boxes. But you are allowed to take one ball from a box, that too only once. 3). A tree has some leaves. Some birds try to sit on those leaves and when one bird sits on one leaf, there is no leaf left for 1 bird. And when two birds sit on one leaf, 1 leaf becomes vacant. Find the number of birds and number of leaves in the tree. 4). A person has a number of socks of 10 different colors. The following table shows the color of the sock and the number of socks available for that color: Color 1 - 2 socks Color 2 - 4 socks Color 3 - 6 socks Color 4 - 8 socks Color 5 - 10 socks Color 6 - 12 socks Color 7 - 14 socks Color 8 - 16 socks Color 9 - 18 socks Color 10 - 20 socks A bag contains all these socks (mixed up). The person has to travel to some other place in the morning, and lights were not available, the room is completely dark. He has to put three pairs of socks in his bag such that all three pairs of socks are of different colors. Find out the minimum number of socks the person is required to put into his bag to ensure the same. 5). (A variation of 4) Find out the minimum number of socks the person has to put into his bag to ensure that 3 pairs are of same color. 6). (A variation of 4) Find out the minimum number of socks the person has to put into his bag to ensure that 3 pairs are of any color. 7). There are 25 typists and we need to determine the top 3 typists. But we have only 5 computers available so we can race atmost 5 typists at a time. Find out the minimum number of races required to find top 3 typists, assuming that every race only outputs the relative ranking and not the typing speed of the typists. 8). Write a program to find the duplicates in a given string. For example, the string "aabba" has 3 duplicates (2 extra 'a' and 1 extra 'b').