Solution:

1. Check the list on the tree, It's a list of 6 people.
2. A spider has woven a web near the tent. This means they must have been staying for a few days at least.
3. Two men are having lunch.
The third one is measuring the depth of the river.
The fourth one is fishing.

Solution:

7

Explanation:
Put batteries into 3 groups: two groups of 3 and one group of 2.
It guarantees at least one of the group has got two working battery
Group of 3 requires 3 attempts to verify if 2 batteries of the group are working (B1+B2, B2+B3, and B1+B3) while the group of 2 requires one attempt (B1+B2)
Total attempts = 3 + 3 + 1 = 7

Solution:

As the balloon lost altitude, all of the thieves took off their clothes in order to decrease the overall weight. but when balloon continues to lose the attitude they decide one of them need to jump to the desert to decrease the weight.
The man who must jump is decided by the famous death game where one who picks the shortest toothpick must die.
Frank Catton pick the half toothpick and was already naked and hence the hence explain his state in the desert.

Solution:

There are various answer possible

Solution 1 :
Pull the snake and throw towards the lion. The lion will fear for the fraction of the time. Use this time to jump towards the axe. Kill the lion using an axe and feed the dead body of the lion to the crocodile.

Solution 2:
This scenario can only be possible in the dream. so boy should wake up and escape.

Solution 3:
Pray to god.

Solution:

The rationale used by the machines, It differentiated the fruits with the help of colour. So the weighing scale that would weigh only cherries and strawberries only weighed what was red. So the man peeled it and then weighed the fruit. Since it is red inside the machine weighs it and marks it at the price of cherries.

Solution:

The man said, 'I will be killed by giving poison.'

If Akbar says the statement is true, the man will be killed by hanging which will make his statement false.
If Akbar says the statement is false, the man will be killed by giving poison which will make the statement true.

Thus Akbar had no choice but to leave the man unpunished.

Solution:

Birbal wrote - "This time will pass soon."

When read in good time, you will feel sad. However, it is essential to keep the fact in the mind. Thus, do not be haughty and keep doing the good work for society.

When read in bad time, you will feel optimistic and get a morale boost that with your hard work you can change the situation.

Solution:

That was a women's football world cup. They had strict rules against female nudity in their country and thus the players were arrested.

Solution:

The stranger said that he thought the room was his. If so, he must have had the keys to the room and thus he must not have knocked.

Solution:

Bob hacked the server.

You can solve this mystery by assuming every one of them as a hacker turn wise. Suppose Timothy is the hacker. Then, his first and last statement will be lies. But that cant be true as he can speak just one lie.

You will find the same result while assuming Christopher, Maggie and Beatrice as the hackers but will see that while assuming Bob as the hacker, only his first statement is false.

Thus Bob is the hacker.