What has many keys but can’t open a single lock?

Can you find the least possible number such that

If the number is divided by 3, it gives the remainder of 1;
If the number is divided by 4, it gives the remainder of 2;
If the number is divided by 5, it gives the remainder of 3;
If the number is divided by 6, it gives the remainder of 4.

I cry without having a voice.
I fly without having wings.
I bite without having teeth.
I whisper without a mouth.

Who am I?

A plane crashed between the border of Mexico and America. Where do you bury the survivors?

What does an Island and the letter T have in common?

John enters a small room. The Door Closes.
When the door opens, John is in a larger room.

Explain?

Two guards were guarding the camp.Guard-1 was looking towards the south to make sure no threat is coming from the road.Guard-2 was looking at the north to make sure no threat is coming from the top. Suddenly Guard-1 ask the Guard-2 why he is smiling?How Guard-1 knows that Guard-2 is smiling?

I am lying and I always lie. Tell me whether I am lying or telling the truth.

If all Goats are Sheep and all Sheep are Deers, are all Deers Goats ?

What can go up a chimney down, but can’t go down a chimney up?