JIPMAT (LR) PYQs

At what angle the hands of a clock are inclined at 15 minutes past 5?

Suppose that the year 2008 starts with the day 'Monday'. The calendar for the year 2009 will be the same in the year:

A watch which gains uniformly is 2 minutes slow at $10 \mathrm{AM}$ on Wednesday and $2 \frac{1}{2}$ minutes fast at 1 PM the following day. When will it show the correct time ?