How can you make the following equation true by drawing only one straight line: 5+5+5=550 ?

I start and end with 500 and carry a 5 in my heart. But I require the first letter and the first number to be complete. I am the name of a King.

Who am I ?

If a shopkeeper can only place the weights on one side of the common balance. For example, if he has weights 1 and 3 then he can measure 1, 3 and 4 only. Now the question is how many minimum weights and names of the weights you will need to measure all weights from 1 to 1000? This is a fairly simple problem and very easy to prove also.

Rectify the following equality 101 - 102 = 1 by moving just one digit.

You have four chains. Each chain has three links in it. Although it is difficult to cut the links, you wish to make a single loop with all 12 links. What is the fewest number of cuts you must make to accomplish this task?

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

What can you deduce from the following BrainBat?

CRY
LMKI

Can you make a six-letter word using the letters N, A and B ?

Take away the whole and some still remain. What is it?

If you’ve got me, you want to share me; if you share me, you haven’t kept me. What am I?