Solution:

833 pears

Explanation:
Step one: First you want to make 3 trips of 1,000 pears 333 kilometers. You will be left with 2,001 pears and 667 kilometers to go.

Step two: Next, you want to take 2 trips of 1,000 pears 500 kilometers. You will be left with 1,000 pears and 167 kilometers to go (you have to leave a pear behind).

Step three: Finally, you travel the last 167 kilometers with one load of 1,000 pears and are left with 833 pears in Cherryville

Solution:

It can be done in 8 moves as shown in the animated image below.

Solution:

prinka is 10, in a system that awards five for each vowel.

Solution:

If you are thinking to hold one chocolate from each box in hand and then balancing weight in bare hands, you are thinking all wrong.

Let us begin by labelling boxes as 1, 2, 3 and so on till 10.

Now pick one chocolate from box 1, two chocolates from box 2, three from box 3 and so on. In total, you will have 55 chocolates now. (1 + 2 + 3 + ..... + 10)

The ideal weight of the chocolates should be 55 * 20 = 1100. However, somewhere in there are the defected chocolate/s.

You can judge that clearly by noting down the result of 1100 - total weight of chocolates. If the weight is less than 1 gram, the defected box is box 1, if the weight is less than 2 grams, the defected box is box 2 and so on.

Solution:

Old password : altered

New Password : distinct

Solution:

This can be done if you draw a five pointed star and place the balls on the corners and intersection points. See the figure to understand better.

Solution:

The attached picture shows you how you can do it. If you were able to deduce any other way, feel free to comment.

Solution:

Zouma is 3 and has two footballs.
Ake is 1 and has one football.
Kalas is 4 and has three footballs.
Aina is 2 and has four footballs.

Solution:

Yes, some people are going get really tiny pieces but you were allowed for that right. Also, there is another way of doing it. Can you think of it?

Solution:

Karate Kid (car + at + tea + kid)

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