I have a five and a three-gallon jar. Assuming there is an infinite supply of water, how can I measure one-gallon water?

What will be the best approach to finding all the prime numbers less than 75 that leave an odd reminder when we divide them with 5?

Decode below three cipher riddles:

26 L of the A
7 D of the W
1000 Y in a M

One day, Birbal got late for a function and Akbar was highly disappointed.
Please forgive me Jahanpanah. I arrived late because my child was crying and I had to calm him down, explained Birbal.
Does it take this long to placate a child? questioned the emperor. I feel that you have no idea about how to raise a child. I order you to act like a child and I will act like your father to show you how you should have dealt with your child. Come on! Ask me all that he asked from you.
Father, I want a cow, said Birbal.
The emperor quickly ordered one of the servants to bring a cow to the kingdom.
I want to drink its milk, now, now, now! said Birbal, imitating the voice of his child.
Akbar asked his servants to milk the cow and give to Birbal.
The servants quickly milked the cow and offered the milk to Birbal. He sipped in a little and then gave the bowl to the emperor.
As Birbal put up the next demand that was put up by his child a few hours ago, the emperor was stunned and left the room.
What did Birbal say?

Below the four parts have been reorganised. The four partitions are exactly the same in both arrangements. Why is there a hole?

A bomb goes off.
Carnage.
One person, only a few feet away, survives! How can this be?

Decode below rebus
D
N
A
T
S , D

I have nine bottles of wine and one of the nine bottles is poisoned.
I need to find the poisoned bottle with two facts
(1) Poison is deadly, only a sip will cost death
(2) I have two mice to do so.

How should I do it?

Replace all '*' with digits 1, 2, 3, 4, 5 and 6 to make below statement true.

* *
x *
=====
* * *

You walk into a room that contains a match, a kerosene lamp, a candle and a fireplace. What would you light first?