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

You have to fill the below given grid in a manner that every row and column contains the digits 1 to 6. Also, make sure that the squares that are connected with each other must contains the same digit.

I am looking for a word that change both gender and number when i add the letter 'S'.

What Word am I Looking For ?

Prove that twice of ten is the same as twice of eleven.

Two in a corner, one in a room, zero in a house, but one in a shelter. What am I?

Can you find the missing number in the third row?
35 20 14
27 12 18
5 2 ?

A swan sits at the center of a perfectly circular lake. At an edge of the lake stands a ravenous monster waiting to devour the swan. The monster can not enter the water, but it will run around the circumference of the lake to try to catch the swan as soon as it reaches the shore. The monster moves at 4 times the speed of the swan, and it will always move in the direction along the shore that brings it closer to the swan the quickest. Both the swan and the the monster can change directions in an instant.
The swan knows that if it can reach the lake's shore without the monster right on top of it, it can instantly escape into the surrounding forest.

How can the swan successfully escape?

I have a mouth but I don't eat.
I have a bank but have no money.
I have a bed but i dont sleep.
I wave but have no hands.

Who Am I ?

Can you solve the photo plexer logic ?

What word begins and ends with an E, but has only one letter?