Ajay Kumar Solutions for Chapter: Reasoning, Exercise 4: Practice set

The month of April $2000$, had five Sundays. Three of them fall on even-numbered days. The eighth day of this month is:

At some time between $9:30$ and $10$ O' clock the triangle determined by the minute hand and the hour hand is an isosceles triangle. If the two equal angles in this triangle are twice as large as the third angle, what is the time?

The year next to $1987$ having the same calendar as that of $1987$ is?

There are two clocks, both set to show the correct time at $10 \mathrm{p}.\mathrm{m}$. One clock gains one minute in an hour while the other gains $2$ minutes in one hour, then by how many minutes do the two clocks differ at $10 \mathrm{a}.\mathrm{m}$ on the next day?

A watch, which gains uniformally, was observed to be $5$ minutes slow at $10 \mathrm{a}.\mathrm{m}.$ on a tuesday. On the next day at $11 \mathrm{a}.\mathrm{m}.$ it was noticed that watch was $5$ minutes fast. When did the watch show the correct time?

The angle between the minute-hand and the hour-hand of a clock when the time is $8:30$, is?

If a year starts and ends with Monday, then how many Mondays, are there in that year?

Which dates of April, $2012$ will be a Sunday?