Why is 6 afraid of 7?

There are two insects on a tile. Insect X is sitting on one side of the tile (point A) and Insect Y is sitting opposite on the other side of the tile (point B). Now both of them decide to change their position and thus X starts crawling to point B and Y starts crawling to point A. When they meet and pass each other in between, X takes 20 seconds to reach B and Y takes just 5 seconds to reach A.

Can you calculate the total time each of the insects took to change their positions?

Rearrange the letters in "new door" to make one word.

A seven-year-old kid challenged his classmates that he can make the number one disappear by adding something to it.

How can he do that?

You may enter, but you may not come in. I have space, but no room. I have keys, but open no lock. What am I?

A pond had 60 fish, out of which, all but 20 died.
How many fishes are now present in that pond?

Prove that the below maths equation is true.

8 + 8 = 91

By moving exactly three matchsticks can you make the below equation true.It can be solved by 3 ways.

There are three boxes. One is labeled "APPLES" another is labeled "ORANGES". The last one is labeled "APPLES AND ORANGES". You know that each is labeled incorrectly. You may ask me to pick one fruit from one box which you choose.

How can you label the boxes correctly?

James Bond is caught up in a mysterious scenario where the evil villain has him blindfolded. He somehow breaks through the handcuffs but is unable to get the blindfold off. Upon searching, he comes across a bow and 3 arrows. He can hear the villain speak, and thus tries to take a shot at him. He launches the first arrow, it misses the villain. He then launches the second arrow and it misses by a greater margin.

What is the probability that this third shot our James bond takes will be worse than the second shot?