Solution:

The conversation taking place in DST when there is a gap of approx 1hour in one of the city.

Explanation:
Daylight Saving Time (DST) is the practice of setting the clocks forward 1 hour from the standard time during the summer months, and back again in the fall, in order to make better use of natural daylight.
Therefore in case of DST, one city has time 1:30 and another city also can have time 1:30 as in one of them DST has applied and in other it's not.

Solution:

Four

three placed flat on the table in a triangle(touching each other) and put the fourth one on top of them in the middle.

Solution:

Here is a way to do it. We dont know if it can be done using some other arrangement or not. If you know, do send us.

4 | 3 | 8
9 | 5 | 1
2 | 7 | 6

Solution:

he was genius.

Officials must have thought he was jumping with a hostage, they would never risk giving him a faulty parachute.

Solution:

The wise man told them to switch the horses and then race. In this manner, both of them will be willing to race as fast as they can to prove that the other horse (his own horse) is slow.

Solution:

LOTTO

Explanation:
Just flip the two rows 1 and 2 vertically, you will find the word "Lotto".

Solution:

The answer is 'R'

It represents the gear stick. The number 1-5 represents gears and the last one thus should be reverse i.e. R.

Solution:

7, 4, 6, 5, 8

Solution:

I filled a glass full of water and held it over my head for 20 minutes.

Solution:

-3 -1 1

Explanation:
-3 * 1 * -1 = 3(prime)
-1 - (-3) = 1 -(-1) = 2

Solution:

White should move the rook from
A1 to D1 and hence complete the castling move.