Solution:

The first step will be to cut the three tablets in equal halves and then put each half in two piles. Now, each of the two piles contains half of pill A and two halves of pill B (or one pill B). Now, take out one pill A from the bottle and cut it into half. Put the two halves in two piles.

In this way, each pile now contains two halves of pill A and two halves of pill B or 1 pill A and 1 pill B. You can now take 1 pile one day and the second pile on the next day.

Solution:

This is possible because nobody was married in the bus.

Solution:

The police officer knows the story was not true since Vasco was shot from back and he was injured only in the stomach.

Solution:

No stairs, Its a one story building.

Solution:

Explanation:

Since Rohini is 21st from either side, there must be 20 people in front of her and 20 people behind her.
20 + 20 + 1 (she herself) = 41
Therefore, the queue consists of 41 people.

Solution:

295 minutes.

Explanation
When he cut 59 stocks, the 60th stock will remain.
59 * 5 = 295 minutes.

Solution:

You are the ship captain. Read the first sentence again. Therefore, the color is same as your eyes color.

Solution:

The fastest or even the slowest rabbit can only run till the mid point into the given garden. After the mid point, it will actually be running out of the given garden.

Solution:

The timer of a microwave.

The timer of a microwave generally consists of 4 digits. First two digit for minutes and next two for seconds.
So,
99 indicates - 1 minute 39 seconds
100 indicates - 1 minutes (1:00)

Solution:

It's a clever trick teaser.
We should note that Christmas occurs after 51 weeks and 2 days as in a calendar year new year comes before Christmas.