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?

You are provided with a grid (as shown in the picture). Can you fill the squares with numbers 1-8 in a manner that none of the two consecutive numbers are placed next to each other in any direction (vertically, horizontally or diagonally?)

Identify the hidden meaning behind this picture?

What do the following words have in common?

Assess
Banana
Dresser
Grammar
Potato
Revive
Uneven
Voodoo

If two fifty-foot ropes are suspended from a forty-foot ceiling that is twenty feet apart, how much rope will you be able to steal if you have a knife?

There are people and strange monkeys on this island, and you can not tell who is who (Edit: until you understand what they said - see below). They speak either only the truth or only lies.
Who are the following two guys?
A: B is a lying monkey. I am human.
B: A is telling the truth.

They came out at night, without being called.
They lost at day, without being stolen.
Who are they?

What word is identified by the below rebus?

Your Your Your Your Your
Your Your Your Your Your

John is the son of Jacob.
So,
Jacob is the_____of John's father?

Can you solve below mathematical equation?

2^1234 - 2^1233